15.693 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (+ (* x x) (* y y)) (* z z))) 0.018 * [simplify]: Sending expressions to egg_math: (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 6 ) 0.023 * * [simplify]: iteration 1 : 25 enodes (cost 6 ) 0.025 * * [simplify]: iteration 2 : 31 enodes (cost 6 ) 0.027 * * [simplify]: iteration 3 : 32 enodes (cost 6 ) 0.028 * * [simplify]: iteration 4 : 32 enodes (cost 6 ) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.085 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.122 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.122 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.122 * [taylor]: Taking taylor expansion of x in z 0.122 * [backup-simplify]: Simplify x into x 0.122 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.122 * [taylor]: Taking taylor expansion of y in z 0.122 * [backup-simplify]: Simplify y into y 0.122 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.122 * [taylor]: Taking taylor expansion of z in z 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.122 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.122 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.123 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.123 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.123 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.124 * [taylor]: Taking taylor expansion of z in y 0.124 * [backup-simplify]: Simplify z into z 0.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.124 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.124 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.124 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.124 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.124 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.124 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.126 * [taylor]: Taking taylor expansion of z in x 0.126 * [backup-simplify]: Simplify z into z 0.126 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.126 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.126 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.126 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.126 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.127 * [taylor]: Taking taylor expansion of z in x 0.127 * [backup-simplify]: Simplify z into z 0.128 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.128 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.128 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.128 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.128 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.128 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.128 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.129 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.129 * [taylor]: Taking taylor expansion of z in y 0.129 * [backup-simplify]: Simplify z into z 0.129 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.129 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.129 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.129 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.130 * [taylor]: Taking taylor expansion of z in z 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [taylor]: Taking taylor expansion of 0 in z 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [taylor]: Taking taylor expansion of 0 in z 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.131 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.132 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.132 * [taylor]: Taking taylor expansion of 1/2 in y 0.132 * [backup-simplify]: Simplify 1/2 into 1/2 0.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.132 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.132 * [taylor]: Taking taylor expansion of z in y 0.132 * [backup-simplify]: Simplify z into z 0.132 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.132 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.133 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.133 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.133 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.133 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.133 * [taylor]: Taking taylor expansion of 1/2 in z 0.134 * [backup-simplify]: Simplify 1/2 into 1/2 0.134 * [taylor]: Taking taylor expansion of z in z 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [taylor]: Taking taylor expansion of 0 in z 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.136 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.136 * [taylor]: Taking taylor expansion of 1/2 in z 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.136 * [taylor]: Taking taylor expansion of z in z 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.137 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.137 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.137 * [taylor]: Taking taylor expansion of x in z 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.138 * [taylor]: Taking taylor expansion of z in z 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.138 * [taylor]: Taking taylor expansion of y in z 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.139 * [backup-simplify]: Simplify (+ 1 0) into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (sqrt 1) into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [backup-simplify]: Simplify x into x 0.141 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.141 * [taylor]: Taking taylor expansion of z in y 0.141 * [backup-simplify]: Simplify z into z 0.141 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [backup-simplify]: Simplify (sqrt 1) into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.145 * [taylor]: Taking taylor expansion of z in x 0.145 * [backup-simplify]: Simplify z into z 0.145 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [backup-simplify]: Simplify (sqrt 1) into 1 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.148 * [taylor]: Taking taylor expansion of z in x 0.148 * [backup-simplify]: Simplify z into z 0.148 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [backup-simplify]: Simplify y into y 0.148 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.149 * [backup-simplify]: Simplify (+ 1 0) into 1 0.149 * [backup-simplify]: Simplify (sqrt 1) into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 1 in z 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.152 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.153 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.153 * [taylor]: Taking taylor expansion of 1/2 in y 0.153 * [backup-simplify]: Simplify 1/2 into 1/2 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.153 * [taylor]: Taking taylor expansion of z in y 0.153 * [backup-simplify]: Simplify z into z 0.153 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [taylor]: Taking taylor expansion of 0 in z 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.161 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.161 * [taylor]: Taking taylor expansion of 1/2 in z 0.161 * [backup-simplify]: Simplify 1/2 into 1/2 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.161 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.161 * [taylor]: Taking taylor expansion of z in z 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [taylor]: Taking taylor expansion of 0 in z 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.167 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.167 * [taylor]: Taking taylor expansion of -1/2 in y 0.167 * [backup-simplify]: Simplify -1/2 into -1/2 0.167 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.167 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.167 * [taylor]: Taking taylor expansion of 1/4 in y 0.167 * [backup-simplify]: Simplify 1/4 into 1/4 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.167 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.167 * [taylor]: Taking taylor expansion of z in y 0.167 * [backup-simplify]: Simplify z into z 0.167 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.167 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.167 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.167 * [taylor]: Taking taylor expansion of 1/2 in y 0.167 * [backup-simplify]: Simplify 1/2 into 1/2 0.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.167 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.167 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.167 * [taylor]: Taking taylor expansion of z in y 0.167 * [backup-simplify]: Simplify z into z 0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.168 * [taylor]: Taking taylor expansion of 1/4 in y 0.168 * [backup-simplify]: Simplify 1/4 into 1/4 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.170 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.177 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.177 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.178 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.179 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.179 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in z 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [taylor]: Taking taylor expansion of 0 in z 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [taylor]: Taking taylor expansion of 0 in z 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.184 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.184 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.184 * [taylor]: Taking taylor expansion of x in z 0.184 * [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 z 2)) (/ 1 (pow y 2))) in z 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.184 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.184 * [taylor]: Taking taylor expansion of z in z 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)) in z 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.185 * [taylor]: Taking taylor expansion of y in z 0.185 * [backup-simplify]: Simplify y into y 0.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (sqrt 1) into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [backup-simplify]: Simplify x into x 0.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.188 * [taylor]: Taking taylor expansion of z in y 0.188 * [backup-simplify]: Simplify z into z 0.188 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.189 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (sqrt 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.195 * [taylor]: Taking taylor expansion of z in x 0.195 * [backup-simplify]: Simplify z into z 0.195 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [backup-simplify]: Simplify y into y 0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (sqrt 1) into 1 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.198 * [taylor]: Taking taylor expansion of z in x 0.198 * [backup-simplify]: Simplify z into z 0.198 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [taylor]: Taking taylor expansion of 1 in z 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.202 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.203 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.203 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.203 * [taylor]: Taking taylor expansion of 1/2 in y 0.203 * [backup-simplify]: Simplify 1/2 into 1/2 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.203 * [taylor]: Taking taylor expansion of z in y 0.203 * [backup-simplify]: Simplify z into z 0.203 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [taylor]: Taking taylor expansion of 0 in z 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.210 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.210 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.210 * [taylor]: Taking taylor expansion of 1/2 in z 0.210 * [backup-simplify]: Simplify 1/2 into 1/2 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.210 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.210 * [taylor]: Taking taylor expansion of z in z 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [taylor]: Taking taylor expansion of 0 in z 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.216 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.216 * [taylor]: Taking taylor expansion of -1/2 in y 0.216 * [backup-simplify]: Simplify -1/2 into -1/2 0.216 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.216 * [taylor]: Taking taylor expansion of 1/4 in y 0.216 * [backup-simplify]: Simplify 1/4 into 1/4 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.216 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.216 * [backup-simplify]: Simplify z into z 0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.216 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.216 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.216 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.216 * [taylor]: Taking taylor expansion of 1/2 in y 0.216 * [backup-simplify]: Simplify 1/2 into 1/2 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.216 * [taylor]: Taking taylor expansion of z in y 0.216 * [backup-simplify]: Simplify z into z 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.217 * [taylor]: Taking taylor expansion of 1/4 in y 0.217 * [backup-simplify]: Simplify 1/4 into 1/4 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.217 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.219 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.226 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.228 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [taylor]: Taking taylor expansion of 0 in z 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.233 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.233 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.233 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.233 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [taylor]: Taking taylor expansion of 1 in y 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.238 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.239 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.239 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [backup-simplify]: Simplify x into x 0.239 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.239 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [backup-simplify]: Simplify y into y 0.240 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.240 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.240 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [backup-simplify]: Simplify y into y 0.241 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.241 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.241 * [backup-simplify]: Simplify (+ 1 0) into 1 0.241 * [taylor]: Taking taylor expansion of 1 in y 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.250 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.250 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [backup-simplify]: Simplify x into x 0.251 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.251 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [backup-simplify]: Simplify y into y 0.253 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.262 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.263 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.263 * [taylor]: Taking taylor expansion of x in z 0.263 * [backup-simplify]: Simplify x into x 0.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.263 * [taylor]: Taking taylor expansion of y in z 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.263 * [taylor]: Taking taylor expansion of z in z 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.263 * [taylor]: Taking taylor expansion of z in y 0.263 * [backup-simplify]: Simplify z into z 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.263 * [taylor]: Taking taylor expansion of z in x 0.263 * [backup-simplify]: Simplify z into z 0.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.263 * [taylor]: Taking taylor expansion of z in x 0.263 * [backup-simplify]: Simplify z into z 0.264 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.264 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.264 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.264 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.264 * [taylor]: Taking taylor expansion of z in y 0.264 * [backup-simplify]: Simplify z into z 0.264 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.264 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.264 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.264 * [taylor]: Taking taylor expansion of z in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.264 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in z 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.266 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of 1 in z 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of 0 in z 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in z 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.269 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.269 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.269 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.269 * [taylor]: Taking taylor expansion of x in z 0.269 * [backup-simplify]: Simplify x into x 0.269 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.269 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.269 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.269 * [taylor]: Taking taylor expansion of z in z 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.270 * [taylor]: Taking taylor expansion of y in z 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [backup-simplify]: Simplify x into x 0.270 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.270 * [taylor]: Taking taylor expansion of z in y 0.270 * [backup-simplify]: Simplify z into z 0.271 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.271 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.272 * [taylor]: Taking taylor expansion of z in x 0.272 * [backup-simplify]: Simplify z into z 0.272 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [backup-simplify]: Simplify y into y 0.272 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.273 * [taylor]: Taking taylor expansion of z in x 0.273 * [backup-simplify]: Simplify z into z 0.273 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 0.273 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.276 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.276 * [taylor]: Taking taylor expansion of z in y 0.276 * [backup-simplify]: Simplify z into z 0.276 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [backup-simplify]: Simplify (+ 0 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1 in z 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of 1 in z 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.283 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.285 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.285 * [taylor]: Taking taylor expansion of z in z 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [taylor]: Taking taylor expansion of 0 in z 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.287 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.287 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.287 * [taylor]: Taking taylor expansion of x in z 0.287 * [backup-simplify]: Simplify x into x 0.287 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.287 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.287 * [taylor]: Taking taylor expansion of z in z 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.288 * [taylor]: Taking taylor expansion of y in z 0.288 * [backup-simplify]: Simplify y into y 0.288 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.289 * [taylor]: Taking taylor expansion of z in y 0.289 * [backup-simplify]: Simplify z into z 0.289 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.289 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.290 * [taylor]: Taking taylor expansion of z in x 0.290 * [backup-simplify]: Simplify z into z 0.290 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [backup-simplify]: Simplify y into y 0.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.291 * [taylor]: Taking taylor expansion of z in x 0.291 * [backup-simplify]: Simplify z into z 0.291 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [backup-simplify]: Simplify y into y 0.291 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.294 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.294 * [taylor]: Taking taylor expansion of z in y 0.294 * [backup-simplify]: Simplify z into z 0.294 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.294 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ 0 1) into 1 0.298 * [taylor]: Taking taylor expansion of 1 in z 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of 1 in z 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.306 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.306 * [taylor]: Taking taylor expansion of z in z 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of 0 in z 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [taylor]: Taking taylor expansion of 0 in z 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.307 * * * [progress]: simplifying candidates 0.308 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* 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)) (expm1 (+ (+ (* x x) (* y y)) (* z z))) (log1p (+ (+ (* x x) (* y y)) (* z z))) (* (* (exp (* x x)) (exp (* y y))) (exp (* z z))) (* (exp (+ (* x x) (* y y))) (exp (* z z))) (log (+ (+ (* x x) (* y y)) (* z z))) (exp (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (+ (+ (* x x) (* y y)) (* z z))) (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (- (+ (* x x) (* y y)) (* z z)) (+ (* y y) (* z z)) z x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) 0.309 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (log1p (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt 1) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3))) (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2)))) (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (/ 1 2) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (expm1 (+ (* h0 h0) (* h1 h1))) (log1p (+ (* h0 h0) (* h1 h1))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (expm1 (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (log1p (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (* (exp (* h0 h0)) (exp (* h1 h1))) (exp (* h2 h2))) (* (exp (+ (* h0 h0) (* h1 h1))) (exp (* h2 h2))) (log (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (exp (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3)) (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2))) (- (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (+ (* h1 h1) (* h2 h2)) h2 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) 0.313 * * [simplify]: iteration 0 : 225 enodes (cost 355 ) 0.319 * * [simplify]: iteration 1 : 1043 enodes (cost 323 ) 0.337 * * [simplify]: iteration 2 : 3749 enodes (cost 312 ) 0.405 * * [simplify]: iteration 3 : 5001 enodes (cost 309 ) 0.407 * * * [progress]: adding candidates to table 0.577 * * [progress]: iteration 2 / 4 0.577 * * * [progress]: picking best candidate 0.587 * * * * [pick]: Picked # 0.587 * * * [progress]: localizing error 0.595 * * * [progress]: generating rewritten candidates 0.595 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.603 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.612 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.613 * * * [progress]: generating series expansions 0.613 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.613 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.613 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.613 * [backup-simplify]: Simplify x into x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.613 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.613 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.613 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.614 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [backup-simplify]: Simplify y into y 0.614 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.614 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.614 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.615 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.615 * [taylor]: Taking taylor expansion of x in x 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.615 * [taylor]: Taking taylor expansion of y in x 0.615 * [backup-simplify]: Simplify y into y 0.615 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.615 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.615 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.615 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.616 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.617 * [backup-simplify]: Simplify (+ 1 0) into 1 0.617 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.617 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.617 * [taylor]: Taking taylor expansion of 1/2 in y 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [taylor]: Taking taylor expansion of y in y 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.620 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.620 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [backup-simplify]: Simplify x into x 0.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.621 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (+ 0 1) into 1 0.622 * [backup-simplify]: Simplify (sqrt 1) into 1 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.624 * [backup-simplify]: Simplify (+ 1 0) into 1 0.625 * [backup-simplify]: Simplify (sqrt 1) into 1 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.627 * [backup-simplify]: Simplify (+ 1 0) into 1 0.627 * [backup-simplify]: Simplify (sqrt 1) into 1 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.629 * [taylor]: Taking taylor expansion of 1 in y 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.631 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.631 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of 1/2 in y 0.631 * [backup-simplify]: Simplify 1/2 into 1/2 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 0 into 0 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.636 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.636 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.636 * [taylor]: Taking taylor expansion of x in y 0.636 * [backup-simplify]: Simplify x into x 0.636 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.636 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.636 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.636 * [taylor]: Taking taylor expansion of y in y 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [backup-simplify]: Simplify (+ 0 1) into 1 0.637 * [backup-simplify]: Simplify (sqrt 1) into 1 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ 0 0) into 0 0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [backup-simplify]: Simplify y into y 0.639 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.640 * [backup-simplify]: Simplify (+ 1 0) into 1 0.640 * [backup-simplify]: Simplify (sqrt 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.642 * [backup-simplify]: Simplify y into y 0.642 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.643 * [backup-simplify]: Simplify (+ 1 0) into 1 0.643 * [backup-simplify]: Simplify (sqrt 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.644 * [taylor]: Taking taylor expansion of 1 in y 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [taylor]: Taking taylor expansion of 0 in y 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.650 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.650 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of 1/2 in y 0.650 * [backup-simplify]: Simplify 1/2 into 1/2 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.655 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.655 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.655 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [backup-simplify]: Simplify x into x 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [backup-simplify]: Simplify y into y 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.655 * [taylor]: Taking taylor expansion of y in x 0.655 * [backup-simplify]: Simplify y into y 0.655 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.655 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (* 1 1) into 1 0.656 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [taylor]: Taking taylor expansion of 1 in y 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.658 * [taylor]: Taking taylor expansion of 0 in y 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.660 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.661 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.661 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [backup-simplify]: Simplify x into x 0.661 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.661 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.662 * [backup-simplify]: Simplify y into y 0.662 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.662 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.663 * [taylor]: Taking taylor expansion of y in x 0.663 * [backup-simplify]: Simplify y into y 0.663 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.664 * [backup-simplify]: Simplify (+ 1 0) into 1 0.664 * [taylor]: Taking taylor expansion of 1 in y 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.673 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.673 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [backup-simplify]: Simplify x into x 0.673 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.673 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [backup-simplify]: Simplify y into y 0.674 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.674 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (* 1 1) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [backup-simplify]: Simplify y into y 0.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.675 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.675 * [backup-simplify]: Simplify (+ 1 0) into 1 0.675 * [taylor]: Taking taylor expansion of 1 in y 0.675 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.676 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* 1 1) into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.680 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.684 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.685 * [backup-simplify]: Simplify (hypot (sqrt (+ (* x x) (* y y))) z) into (hypot (sqrt (+ (pow x 2) (pow y 2))) z) 0.685 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0 0.685 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z 0.685 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.685 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z 0.685 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z 0.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.685 * [taylor]: Taking taylor expansion of x in z 0.685 * [backup-simplify]: Simplify x into x 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.685 * [taylor]: Taking taylor expansion of y in z 0.685 * [backup-simplify]: Simplify y into y 0.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.685 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.685 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.685 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.685 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.685 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z 0.686 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.686 * [taylor]: Taking taylor expansion of x in z 0.686 * [backup-simplify]: Simplify x into x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.686 * [taylor]: Taking taylor expansion of y in z 0.686 * [backup-simplify]: Simplify y into y 0.686 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.686 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.687 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.687 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.687 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.687 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.687 * [taylor]: Taking taylor expansion of (* z z) in z 0.687 * [taylor]: Taking taylor expansion of z in z 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [taylor]: Taking taylor expansion of z in z 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 0.688 * [backup-simplify]: Simplify (* 0 0) into 0 0.688 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 0.688 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.689 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.689 * [backup-simplify]: Simplify (+ 0 0) into 0 0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.690 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y 0.690 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.690 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y 0.690 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.690 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [backup-simplify]: Simplify x into x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.690 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.690 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.690 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.691 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [backup-simplify]: Simplify x into x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.691 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.691 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.691 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.691 * [backup-simplify]: Simplify (+ 0 0) into 0 0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.692 * [taylor]: Taking taylor expansion of (* z z) in y 0.692 * [taylor]: Taking taylor expansion of z in y 0.692 * [backup-simplify]: Simplify z into z 0.692 * [taylor]: Taking taylor expansion of z in y 0.692 * [backup-simplify]: Simplify z into z 0.692 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.692 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.692 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.692 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.692 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.692 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.692 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.693 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.693 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.693 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.693 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [backup-simplify]: Simplify y into y 0.693 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.693 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.693 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.693 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.694 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [backup-simplify]: Simplify y into y 0.694 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.694 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.694 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.694 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.694 * [taylor]: Taking taylor expansion of (* z z) in x 0.694 * [taylor]: Taking taylor expansion of z in x 0.694 * [backup-simplify]: Simplify z into z 0.694 * [taylor]: Taking taylor expansion of z in x 0.695 * [backup-simplify]: Simplify z into z 0.695 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.695 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.695 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.695 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.695 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.695 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.695 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x 0.696 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z))) 0.696 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x 0.696 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.696 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [backup-simplify]: Simplify y into y 0.696 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.696 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.696 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.696 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [backup-simplify]: Simplify y into y 0.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.697 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.697 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.697 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.697 * [backup-simplify]: Simplify (+ 0 0) into 0 0.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.697 * [taylor]: Taking taylor expansion of (* z z) in x 0.697 * [taylor]: Taking taylor expansion of z in x 0.697 * [backup-simplify]: Simplify z into z 0.697 * [taylor]: Taking taylor expansion of z in x 0.697 * [backup-simplify]: Simplify z into z 0.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.697 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.698 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.698 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.698 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.698 * [backup-simplify]: Simplify (+ 0 0) into 0 0.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.698 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.699 * [taylor]: Taking taylor expansion of z in y 0.699 * [backup-simplify]: Simplify z into z 0.699 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.699 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.699 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.699 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.699 * [taylor]: Taking taylor expansion of z in z 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [taylor]: Taking taylor expansion of 0 in z 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.700 * [taylor]: Taking taylor expansion of 0 in z 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify (* 1 1) into 1 0.700 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.700 * [backup-simplify]: Simplify (+ 1 0) into 1 0.701 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.701 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.702 * [backup-simplify]: Simplify (+ 1 0) into 1 0.702 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.702 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 0.703 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.703 * [backup-simplify]: Simplify (+ 1 0) into 1 0.704 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 0.704 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.704 * [taylor]: Taking taylor expansion of 1/2 in y 0.704 * [backup-simplify]: Simplify 1/2 into 1/2 0.704 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.704 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.704 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify 1 into 1 0.704 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.704 * [taylor]: Taking taylor expansion of z in y 0.704 * [backup-simplify]: Simplify z into z 0.704 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.704 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.704 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.704 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.704 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.705 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.705 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.705 * [taylor]: Taking taylor expansion of 1/2 in z 0.705 * [backup-simplify]: Simplify 1/2 into 1/2 0.705 * [taylor]: Taking taylor expansion of z in z 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 1 into 1 0.705 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [taylor]: Taking taylor expansion of 0 in z 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify (* 1 1) into 1 0.706 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.707 * [backup-simplify]: Simplify (+ 1 0) into 1 0.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.707 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.707 * [taylor]: Taking taylor expansion of 1/2 in z 0.707 * [backup-simplify]: Simplify 1/2 into 1/2 0.707 * [taylor]: Taking taylor expansion of z in z 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.709 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ 1 z)) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) 0.709 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0 0.709 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z 0.709 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.709 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z 0.709 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.709 * [taylor]: Taking taylor expansion of x in z 0.709 * [backup-simplify]: Simplify x into x 0.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.709 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.709 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.709 * [taylor]: Taking taylor expansion of y in z 0.709 * [backup-simplify]: Simplify y into y 0.709 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.710 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.710 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.710 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.710 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.711 * [taylor]: Taking taylor expansion of x in z 0.711 * [backup-simplify]: Simplify x into x 0.711 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.711 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.711 * [taylor]: Taking taylor expansion of y in z 0.711 * [backup-simplify]: Simplify y into y 0.711 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.711 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.712 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.712 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.712 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.713 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 0.713 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.713 * [taylor]: Taking taylor expansion of z in z 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.713 * [taylor]: Taking taylor expansion of z in z 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [backup-simplify]: Simplify (/ 1 1) into 1 0.713 * [backup-simplify]: Simplify (* 1 1) into 1 0.714 * [backup-simplify]: Simplify (+ 0 1) into 1 0.714 * [backup-simplify]: Simplify (sqrt 1) into 1 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.716 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y 0.716 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.716 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.716 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.716 * [taylor]: Taking taylor expansion of x in y 0.716 * [backup-simplify]: Simplify x into x 0.716 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.716 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.717 * [backup-simplify]: Simplify (* 1 1) into 1 0.717 * [backup-simplify]: Simplify (/ 1 1) into 1 0.717 * [backup-simplify]: Simplify (+ 0 1) into 1 0.717 * [backup-simplify]: Simplify (sqrt 1) into 1 0.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.719 * [backup-simplify]: Simplify x into x 0.719 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.719 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (* 1 1) into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [backup-simplify]: Simplify (+ 0 1) into 1 0.720 * [backup-simplify]: Simplify (sqrt 1) into 1 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.721 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.721 * [taylor]: Taking taylor expansion of z in y 0.721 * [backup-simplify]: Simplify z into z 0.721 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.721 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.721 * [taylor]: Taking taylor expansion of z in y 0.721 * [backup-simplify]: Simplify z into z 0.722 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.722 * [backup-simplify]: Simplify (* 1 1) into 1 0.722 * [backup-simplify]: Simplify (+ 1 0) into 1 0.722 * [backup-simplify]: Simplify (sqrt 1) into 1 0.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.723 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.723 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.723 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.723 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [backup-simplify]: Simplify y into y 0.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.724 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.725 * [backup-simplify]: Simplify (sqrt 1) into 1 0.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* 1 1) into 1 0.727 * [backup-simplify]: Simplify (/ 1 1) into 1 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [backup-simplify]: Simplify y into y 0.727 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.727 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.727 * [backup-simplify]: Simplify (+ 1 0) into 1 0.727 * [backup-simplify]: Simplify (sqrt 1) into 1 0.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.729 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.729 * [taylor]: Taking taylor expansion of z in x 0.729 * [backup-simplify]: Simplify z into z 0.729 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.729 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.729 * [taylor]: Taking taylor expansion of z in x 0.729 * [backup-simplify]: Simplify z into z 0.729 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.729 * [backup-simplify]: Simplify (* 1 1) into 1 0.730 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (sqrt 1) into 1 0.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.731 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x 0.731 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z)))) 0.731 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x 0.731 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (* 1 1) into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [backup-simplify]: Simplify y into y 0.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.732 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (sqrt 1) into 1 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [backup-simplify]: Simplify y into y 0.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.735 * [backup-simplify]: Simplify (+ 1 0) into 1 0.735 * [backup-simplify]: Simplify (sqrt 1) into 1 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.737 * [taylor]: Taking taylor expansion of z in x 0.737 * [backup-simplify]: Simplify z into z 0.737 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.737 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.737 * [taylor]: Taking taylor expansion of z in x 0.737 * [backup-simplify]: Simplify z into z 0.737 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 0.737 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (+ 1 0) into 1 0.738 * [backup-simplify]: Simplify (sqrt 1) into 1 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.739 * [taylor]: Taking taylor expansion of 1 in y 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [taylor]: Taking taylor expansion of 1 in z 0.739 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.743 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.744 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.744 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 0.744 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.745 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.745 * [taylor]: Taking taylor expansion of 1/2 in y 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.745 * [taylor]: Taking taylor expansion of z in y 0.745 * [backup-simplify]: Simplify z into z 0.745 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.745 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.745 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (+ 0 1) into 1 0.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [taylor]: Taking taylor expansion of 0 in z 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.758 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.759 * [taylor]: Taking taylor expansion of 1/2 in z 0.759 * [backup-simplify]: Simplify 1/2 into 1/2 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.759 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.759 * [taylor]: Taking taylor expansion of z in z 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [taylor]: Taking taylor expansion of 0 in z 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [taylor]: Taking taylor expansion of 0 in z 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.767 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.768 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.769 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.769 * [taylor]: Taking taylor expansion of -1/2 in y 0.769 * [backup-simplify]: Simplify -1/2 into -1/2 0.769 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.769 * [taylor]: Taking taylor expansion of 1/4 in y 0.769 * [backup-simplify]: Simplify 1/4 into 1/4 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.769 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.769 * [taylor]: Taking taylor expansion of z in y 0.769 * [backup-simplify]: Simplify z into z 0.769 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.769 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.769 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.769 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.769 * [taylor]: Taking taylor expansion of 1/2 in y 0.769 * [backup-simplify]: Simplify 1/2 into 1/2 0.769 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.769 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.769 * [taylor]: Taking taylor expansion of z in y 0.769 * [backup-simplify]: Simplify z into z 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.770 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.770 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.770 * [taylor]: Taking taylor expansion of 1/4 in y 0.770 * [backup-simplify]: Simplify 1/4 into 1/4 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.770 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (* 1 1) into 1 0.771 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.772 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.778 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.778 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.778 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.779 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.780 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.780 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.781 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [taylor]: Taking taylor expansion of 0 in z 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.783 * [taylor]: Taking taylor expansion of 0 in z 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [taylor]: Taking taylor expansion of 0 in z 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [taylor]: Taking taylor expansion of 0 in z 0.783 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.785 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ 1 (- z))) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) 0.785 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0 0.785 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z 0.786 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.786 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z 0.786 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.786 * [taylor]: Taking taylor expansion of x in z 0.786 * [backup-simplify]: Simplify x into x 0.786 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.786 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.786 * [taylor]: Taking taylor expansion of y in z 0.786 * [backup-simplify]: Simplify y into y 0.786 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.786 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.786 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.786 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.786 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.787 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.787 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.788 * [taylor]: Taking taylor expansion of x in z 0.788 * [backup-simplify]: Simplify x into x 0.788 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.788 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.788 * [taylor]: Taking taylor expansion of y in z 0.788 * [backup-simplify]: Simplify y into y 0.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.788 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.788 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.788 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.788 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.789 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 0.789 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 0.789 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.790 * [taylor]: Taking taylor expansion of -1 in z 0.790 * [backup-simplify]: Simplify -1 into -1 0.790 * [taylor]: Taking taylor expansion of z in z 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ -1 1) into -1 0.790 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.790 * [taylor]: Taking taylor expansion of -1 in z 0.790 * [backup-simplify]: Simplify -1 into -1 0.790 * [taylor]: Taking taylor expansion of z in z 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ -1 1) into -1 0.790 * [backup-simplify]: Simplify (* -1 -1) into 1 0.791 * [backup-simplify]: Simplify (+ 0 1) into 1 0.791 * [backup-simplify]: Simplify (sqrt 1) into 1 0.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.793 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y 0.793 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.793 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y 0.793 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [backup-simplify]: Simplify x into x 0.793 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (/ 1 1) into 1 0.794 * [backup-simplify]: Simplify (+ 0 1) into 1 0.794 * [backup-simplify]: Simplify (sqrt 1) into 1 0.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [backup-simplify]: Simplify x into x 0.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.796 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (+ 0 1) into 1 0.797 * [backup-simplify]: Simplify (sqrt 1) into 1 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.799 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 0.799 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.799 * [taylor]: Taking taylor expansion of -1 in y 0.799 * [backup-simplify]: Simplify -1 into -1 0.799 * [taylor]: Taking taylor expansion of z in y 0.799 * [backup-simplify]: Simplify z into z 0.799 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.799 * [taylor]: Taking taylor expansion of (/ -1 z) in y 0.799 * [taylor]: Taking taylor expansion of -1 in y 0.799 * [backup-simplify]: Simplify -1 into -1 0.799 * [taylor]: Taking taylor expansion of z in y 0.799 * [backup-simplify]: Simplify z into z 0.799 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (sqrt 1) into 1 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.800 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.801 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.801 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.801 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [backup-simplify]: Simplify y into y 0.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.802 * [backup-simplify]: Simplify (+ 1 0) into 1 0.802 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [backup-simplify]: Simplify y into y 0.804 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.804 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.804 * [backup-simplify]: Simplify (+ 1 0) into 1 0.805 * [backup-simplify]: Simplify (sqrt 1) into 1 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.806 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.806 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [backup-simplify]: Simplify -1 into -1 0.806 * [taylor]: Taking taylor expansion of z in x 0.806 * [backup-simplify]: Simplify z into z 0.806 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.806 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.806 * [taylor]: Taking taylor expansion of -1 in x 0.806 * [backup-simplify]: Simplify -1 into -1 0.806 * [taylor]: Taking taylor expansion of z in x 0.806 * [backup-simplify]: Simplify z into z 0.806 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.807 * [backup-simplify]: Simplify (+ 1 0) into 1 0.807 * [backup-simplify]: Simplify (sqrt 1) into 1 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.808 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x 0.808 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z)))) 0.808 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x 0.808 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.808 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [backup-simplify]: Simplify y into y 0.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.809 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.810 * [backup-simplify]: Simplify (+ 1 0) into 1 0.810 * [backup-simplify]: Simplify (sqrt 1) into 1 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.812 * [taylor]: Taking taylor expansion of y in x 0.812 * [backup-simplify]: Simplify y into y 0.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.812 * [backup-simplify]: Simplify (+ 1 0) into 1 0.812 * [backup-simplify]: Simplify (sqrt 1) into 1 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.814 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 0.814 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [backup-simplify]: Simplify -1 into -1 0.814 * [taylor]: Taking taylor expansion of z in x 0.814 * [backup-simplify]: Simplify z into z 0.814 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.814 * [taylor]: Taking taylor expansion of (/ -1 z) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [backup-simplify]: Simplify -1 into -1 0.814 * [taylor]: Taking taylor expansion of z in x 0.814 * [backup-simplify]: Simplify z into z 0.814 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (sqrt 1) into 1 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.816 * [taylor]: Taking taylor expansion of 1 in y 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [taylor]: Taking taylor expansion of 1 in z 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.818 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.820 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 0.821 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 0.821 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.822 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0.822 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.822 * [taylor]: Taking taylor expansion of 1/2 in y 0.822 * [backup-simplify]: Simplify 1/2 into 1/2 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.822 * [taylor]: Taking taylor expansion of z in y 0.822 * [backup-simplify]: Simplify z into z 0.822 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.822 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (+ 0 1) into 1 0.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.824 * [taylor]: Taking taylor expansion of 0 in z 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [taylor]: Taking taylor expansion of 0 in z 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [taylor]: Taking taylor expansion of 0 in z 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.832 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.832 * [taylor]: Taking taylor expansion of 1/2 in z 0.832 * [backup-simplify]: Simplify 1/2 into 1/2 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.832 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.832 * [taylor]: Taking taylor expansion of z in z 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* 1 1) into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.834 * [taylor]: Taking taylor expansion of 0 in z 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [taylor]: Taking taylor expansion of 0 in z 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.839 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 0.840 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.840 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 0.841 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 0.842 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 0.842 * [taylor]: Taking taylor expansion of -1/2 in y 0.842 * [backup-simplify]: Simplify -1/2 into -1/2 0.842 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 0.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.842 * [taylor]: Taking taylor expansion of 1/4 in y 0.842 * [backup-simplify]: Simplify 1/4 into 1/4 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.842 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.842 * [taylor]: Taking taylor expansion of z in y 0.842 * [backup-simplify]: Simplify z into z 0.842 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.842 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.843 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.843 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.843 * [taylor]: Taking taylor expansion of 1/2 in y 0.843 * [backup-simplify]: Simplify 1/2 into 1/2 0.843 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.843 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.843 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.843 * [taylor]: Taking taylor expansion of z in y 0.843 * [backup-simplify]: Simplify z into z 0.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.843 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.843 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.843 * [taylor]: Taking taylor expansion of 1/4 in y 0.843 * [backup-simplify]: Simplify 1/4 into 1/4 0.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.843 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (* 1 1) into 1 0.844 * [backup-simplify]: Simplify (* 1 1) into 1 0.844 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.845 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.852 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.852 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.856 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.857 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.857 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.858 * [taylor]: Taking taylor expansion of 0 in z 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [taylor]: Taking taylor expansion of 0 in z 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in z 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in z 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in z 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.862 * * * [progress]: simplifying candidates 0.863 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* 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)) (expm1 (hypot (sqrt (+ (* x x) (* y y))) z)) (log1p (hypot (sqrt (+ (* x x) (* y y))) z)) (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z)) (log (hypot (sqrt (+ (* x x) (* y y))) z)) (exp (hypot (sqrt (+ (* x x) (* y y))) z)) (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) z x (* -1 x) 0.863 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) (* h1 h1)))) (log1p (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (expm1 (+ (* h0 h0) (* h1 h1))) (log1p (+ (* h0 h0) (* h1 h1))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) (expm1 (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (log1p (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h2 h2)) (log (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (exp (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (* (cbrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (cbrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2))) (cbrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (* (* (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2) (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (sqrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) (sqrt (hypot (sqrt (+ (* h0 h0) (* h1 h1))) h2)) h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) h2 h0 (* -1 h0) 0.867 * * [simplify]: iteration 0 : 152 enodes (cost 254 ) 0.871 * * [simplify]: iteration 1 : 617 enodes (cost 227 ) 0.882 * * [simplify]: iteration 2 : 1802 enodes (cost 223 ) 0.921 * * [simplify]: iteration 3 : 5002 enodes (cost 221 ) 0.923 * * * [progress]: adding candidates to table 1.063 * * [progress]: iteration 3 / 4 1.063 * * * [progress]: picking best candidate 1.067 * * * * [pick]: Picked # 1.067 * * * [progress]: localizing error 1.073 * * * [progress]: generating rewritten candidates 1.073 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.074 * * * [progress]: generating series expansions 1.074 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.074 * [backup-simplify]: Simplify (hypot (* 1 (hypot x y)) z) into (hypot (hypot x y) z) 1.074 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0 1.074 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.074 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z 1.074 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z 1.074 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.074 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.074 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.074 * [taylor]: Taking taylor expansion of (* x x) in z 1.074 * [taylor]: Taking taylor expansion of x in z 1.074 * [backup-simplify]: Simplify x into x 1.074 * [taylor]: Taking taylor expansion of x in z 1.074 * [backup-simplify]: Simplify x into x 1.074 * [taylor]: Taking taylor expansion of (* y y) in z 1.074 * [taylor]: Taking taylor expansion of y in z 1.075 * [backup-simplify]: Simplify y into y 1.075 * [taylor]: Taking taylor expansion of y in z 1.075 * [backup-simplify]: Simplify y into y 1.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.075 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.075 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.075 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.076 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.076 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.076 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.076 * [taylor]: Taking taylor expansion of (* x x) in z 1.076 * [taylor]: Taking taylor expansion of x in z 1.076 * [backup-simplify]: Simplify x into x 1.076 * [taylor]: Taking taylor expansion of x in z 1.076 * [backup-simplify]: Simplify x into x 1.076 * [taylor]: Taking taylor expansion of (* y y) in z 1.076 * [taylor]: Taking taylor expansion of y in z 1.076 * [backup-simplify]: Simplify y into y 1.076 * [taylor]: Taking taylor expansion of y in z 1.076 * [backup-simplify]: Simplify y into y 1.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.076 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.076 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.076 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.077 * [taylor]: Taking taylor expansion of (* z z) in z 1.077 * [taylor]: Taking taylor expansion of z in z 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [taylor]: Taking taylor expansion of z in z 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 1.077 * [backup-simplify]: Simplify (* 0 0) into 0 1.078 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 1.078 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.078 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.079 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.079 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y 1.079 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y 1.079 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.079 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.079 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.079 * [taylor]: Taking taylor expansion of (* x x) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.079 * [backup-simplify]: Simplify x into x 1.079 * [taylor]: Taking taylor expansion of x in y 1.079 * [backup-simplify]: Simplify x into x 1.079 * [taylor]: Taking taylor expansion of (* y y) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.080 * [backup-simplify]: Simplify (* 0 0) into 0 1.080 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.080 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.080 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.080 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.081 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.081 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.081 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.081 * [taylor]: Taking taylor expansion of (* x x) in y 1.081 * [taylor]: Taking taylor expansion of x in y 1.081 * [backup-simplify]: Simplify x into x 1.081 * [taylor]: Taking taylor expansion of x in y 1.081 * [backup-simplify]: Simplify x into x 1.081 * [taylor]: Taking taylor expansion of (* y y) in y 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of y in y 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.081 * [backup-simplify]: Simplify (* 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.082 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.082 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.082 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.082 * [taylor]: Taking taylor expansion of (* z z) in y 1.082 * [taylor]: Taking taylor expansion of z in y 1.082 * [backup-simplify]: Simplify z into z 1.082 * [taylor]: Taking taylor expansion of z in y 1.082 * [backup-simplify]: Simplify z into z 1.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.083 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.083 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 1.083 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 1.083 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.083 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 1.083 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.084 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.084 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.084 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.084 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.084 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.084 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.084 * [taylor]: Taking taylor expansion of (* x x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of (* y y) in x 1.084 * [taylor]: Taking taylor expansion of y in x 1.084 * [backup-simplify]: Simplify y into y 1.084 * [taylor]: Taking taylor expansion of y in x 1.084 * [backup-simplify]: Simplify y into y 1.084 * [backup-simplify]: Simplify (* 0 0) into 0 1.084 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.084 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.084 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.085 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.085 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.085 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.085 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.085 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.085 * [taylor]: Taking taylor expansion of (* x x) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (* y y) in x 1.085 * [taylor]: Taking taylor expansion of y in x 1.085 * [backup-simplify]: Simplify y into y 1.085 * [taylor]: Taking taylor expansion of y in x 1.086 * [backup-simplify]: Simplify y into y 1.086 * [backup-simplify]: Simplify (* 0 0) into 0 1.086 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.086 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.086 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.086 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.087 * [taylor]: Taking taylor expansion of (* z z) in x 1.087 * [taylor]: Taking taylor expansion of z in x 1.087 * [backup-simplify]: Simplify z into z 1.087 * [taylor]: Taking taylor expansion of z in x 1.087 * [backup-simplify]: Simplify z into z 1.087 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.087 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.087 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.087 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.087 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.088 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) 1.088 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x 1.088 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x 1.088 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.088 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.088 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.088 * [taylor]: Taking taylor expansion of (* x x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [taylor]: Taking taylor expansion of (* y y) in x 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [backup-simplify]: Simplify y into y 1.088 * [taylor]: Taking taylor expansion of y in x 1.088 * [backup-simplify]: Simplify y into y 1.089 * [backup-simplify]: Simplify (* 0 0) into 0 1.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.089 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.089 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.090 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.090 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.090 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.090 * [taylor]: Taking taylor expansion of (* x x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [taylor]: Taking taylor expansion of (* y y) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [backup-simplify]: Simplify y into y 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [backup-simplify]: Simplify y into y 1.090 * [backup-simplify]: Simplify (* 0 0) into 0 1.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.090 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.091 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.091 * [taylor]: Taking taylor expansion of (* z z) in x 1.091 * [taylor]: Taking taylor expansion of z in x 1.091 * [backup-simplify]: Simplify z into z 1.091 * [taylor]: Taking taylor expansion of z in x 1.091 * [backup-simplify]: Simplify z into z 1.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.092 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.092 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.092 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.092 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.092 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.093 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.093 * [taylor]: Taking taylor expansion of z in y 1.093 * [backup-simplify]: Simplify z into z 1.093 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.093 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.093 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 1.093 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 1.093 * [taylor]: Taking taylor expansion of z in z 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [taylor]: Taking taylor expansion of 0 in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [taylor]: Taking taylor expansion of 0 in z 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [taylor]: Taking taylor expansion of 0 in z 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.095 * [backup-simplify]: Simplify (+ 1 0) into 1 1.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.096 * [backup-simplify]: Simplify (+ 1 0) into 1 1.097 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.097 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 1.097 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.097 * [backup-simplify]: Simplify (+ 1 0) into 1 1.098 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 1.098 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.098 * [taylor]: Taking taylor expansion of 1/2 in y 1.098 * [backup-simplify]: Simplify 1/2 into 1/2 1.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.098 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.098 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify 1 into 1 1.098 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.098 * [taylor]: Taking taylor expansion of z in y 1.098 * [backup-simplify]: Simplify z into z 1.098 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.098 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.098 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.099 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 1.099 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 1.099 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 1.099 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.099 * [taylor]: Taking taylor expansion of 1/2 in z 1.099 * [backup-simplify]: Simplify 1/2 into 1/2 1.099 * [taylor]: Taking taylor expansion of z in z 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [taylor]: Taking taylor expansion of 0 in z 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (* 1 1) into 1 1.101 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.101 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 1.101 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.101 * [taylor]: Taking taylor expansion of 1/2 in z 1.102 * [backup-simplify]: Simplify 1/2 into 1/2 1.102 * [taylor]: Taking taylor expansion of z in z 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 1.103 * [backup-simplify]: Simplify (hypot (* 1 (hypot (/ 1 x) (/ 1 y))) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) 1.103 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0 1.103 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z 1.103 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.103 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z 1.103 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z 1.103 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.103 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.103 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.103 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.103 * [taylor]: Taking taylor expansion of x in z 1.103 * [backup-simplify]: Simplify x into x 1.103 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.103 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.103 * [taylor]: Taking taylor expansion of x in z 1.103 * [backup-simplify]: Simplify x into x 1.103 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.103 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.103 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.103 * [taylor]: Taking taylor expansion of y in z 1.103 * [backup-simplify]: Simplify y into y 1.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.103 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.103 * [taylor]: Taking taylor expansion of y in z 1.103 * [backup-simplify]: Simplify y into y 1.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.104 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 1.104 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.104 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.104 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.104 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.104 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.105 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.105 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.105 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.105 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.105 * [taylor]: Taking taylor expansion of x in z 1.105 * [backup-simplify]: Simplify x into x 1.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.105 * [taylor]: Taking taylor expansion of x in z 1.105 * [backup-simplify]: Simplify x into x 1.105 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.105 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.105 * [taylor]: Taking taylor expansion of y in z 1.105 * [backup-simplify]: Simplify y into y 1.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.105 * [taylor]: Taking taylor expansion of y in z 1.105 * [backup-simplify]: Simplify y into y 1.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.106 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 1.106 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.106 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.106 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.106 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.106 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.107 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z 1.107 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.107 * [taylor]: Taking taylor expansion of z in z 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.107 * [taylor]: Taking taylor expansion of z in z 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (/ 1 1) into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.108 * [backup-simplify]: Simplify (+ 0 1) into 1 1.108 * [backup-simplify]: Simplify (sqrt 1) into 1 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.110 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y 1.110 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.110 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y 1.110 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y 1.110 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.111 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [backup-simplify]: Simplify x into x 1.111 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [backup-simplify]: Simplify x into x 1.111 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.111 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.112 * [backup-simplify]: Simplify (+ 0 1) into 1 1.112 * [backup-simplify]: Simplify (sqrt 1) into 1 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.114 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.114 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.114 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [backup-simplify]: Simplify x into x 1.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [backup-simplify]: Simplify x into x 1.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.114 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.115 * [taylor]: Taking taylor expansion of y in y 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (/ 1 1) into 1 1.115 * [backup-simplify]: Simplify (* 1 1) into 1 1.115 * [backup-simplify]: Simplify (+ 0 1) into 1 1.116 * [backup-simplify]: Simplify (sqrt 1) into 1 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.117 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.117 * [taylor]: Taking taylor expansion of z in y 1.117 * [backup-simplify]: Simplify z into z 1.118 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 1.118 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.118 * [taylor]: Taking taylor expansion of z in y 1.118 * [backup-simplify]: Simplify z into z 1.118 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 1.118 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (+ 1 0) into 1 1.118 * [backup-simplify]: Simplify (sqrt 1) into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.119 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.119 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.120 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.120 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.120 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.120 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.120 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (/ 1 1) into 1 1.120 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [backup-simplify]: Simplify y into y 1.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [backup-simplify]: Simplify y into y 1.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.121 * [backup-simplify]: Simplify (* 1 1) into 1 1.121 * [backup-simplify]: Simplify (+ 1 0) into 1 1.121 * [backup-simplify]: Simplify (sqrt 1) into 1 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.123 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.126 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.126 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.126 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [backup-simplify]: Simplify y into y 1.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [backup-simplify]: Simplify y into y 1.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.128 * [backup-simplify]: Simplify (+ 1 0) into 1 1.128 * [backup-simplify]: Simplify (sqrt 1) into 1 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.130 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.130 * [taylor]: Taking taylor expansion of z in x 1.130 * [backup-simplify]: Simplify z into z 1.130 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 1.130 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.130 * [taylor]: Taking taylor expansion of z in x 1.130 * [backup-simplify]: Simplify z into z 1.130 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 1.130 * [backup-simplify]: Simplify (* 1 1) into 1 1.130 * [backup-simplify]: Simplify (+ 1 0) into 1 1.131 * [backup-simplify]: Simplify (sqrt 1) into 1 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.132 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1.132 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x 1.132 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x 1.132 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.132 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.132 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.132 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (/ 1 1) into 1 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.133 * [backup-simplify]: Simplify (/ 1 1) into 1 1.133 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [backup-simplify]: Simplify y into y 1.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.133 * [backup-simplify]: Simplify y into y 1.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.133 * [backup-simplify]: Simplify (* 1 1) into 1 1.133 * [backup-simplify]: Simplify (+ 1 0) into 1 1.134 * [backup-simplify]: Simplify (sqrt 1) into 1 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.135 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.135 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.135 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.136 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [backup-simplify]: Simplify y into y 1.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [backup-simplify]: Simplify y into y 1.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.137 * [backup-simplify]: Simplify (* 1 1) into 1 1.137 * [backup-simplify]: Simplify (+ 1 0) into 1 1.137 * [backup-simplify]: Simplify (sqrt 1) into 1 1.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.139 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.139 * [taylor]: Taking taylor expansion of z in x 1.139 * [backup-simplify]: Simplify z into z 1.139 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 1.139 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.139 * [taylor]: Taking taylor expansion of z in x 1.139 * [backup-simplify]: Simplify z into z 1.139 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z) 1.139 * [backup-simplify]: Simplify (* 1 1) into 1 1.140 * [backup-simplify]: Simplify (+ 1 0) into 1 1.140 * [backup-simplify]: Simplify (sqrt 1) into 1 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.141 * [taylor]: Taking taylor expansion of 1 in y 1.141 * [backup-simplify]: Simplify 1 into 1 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [taylor]: Taking taylor expansion of 1 in z 1.141 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.143 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.145 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.146 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.147 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.147 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2)) 1.147 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.148 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.148 * [taylor]: Taking taylor expansion of 1/2 in y 1.148 * [backup-simplify]: Simplify 1/2 into 1/2 1.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.148 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.148 * [taylor]: Taking taylor expansion of z in y 1.148 * [backup-simplify]: Simplify z into z 1.148 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.149 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 1 into 1 1.149 * [backup-simplify]: Simplify (* 1 1) into 1 1.149 * [backup-simplify]: Simplify (/ 1 1) into 1 1.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (+ 0 1) into 1 1.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.151 * [taylor]: Taking taylor expansion of 0 in z 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [taylor]: Taking taylor expansion of 0 in z 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [taylor]: Taking taylor expansion of 0 in z 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.154 * [backup-simplify]: Simplify (+ 0 0) into 0 1.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.156 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.156 * [backup-simplify]: Simplify (+ 0 0) into 0 1.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0 1.158 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.160 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.160 * [taylor]: Taking taylor expansion of 1/2 in z 1.160 * [backup-simplify]: Simplify 1/2 into 1/2 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.160 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.160 * [taylor]: Taking taylor expansion of z in z 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.161 * [backup-simplify]: Simplify (* 1 1) into 1 1.161 * [backup-simplify]: Simplify (/ 1 1) into 1 1.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [taylor]: Taking taylor expansion of 0 in z 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [taylor]: Taking taylor expansion of 0 in z 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.165 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.166 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.168 * [backup-simplify]: Simplify (+ 0 0) into 0 1.169 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.170 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 1.170 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.172 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 1.172 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.172 * [taylor]: Taking taylor expansion of -1/2 in y 1.172 * [backup-simplify]: Simplify -1/2 into -1/2 1.172 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.172 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.172 * [taylor]: Taking taylor expansion of 1/4 in y 1.172 * [backup-simplify]: Simplify 1/4 into 1/4 1.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.172 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.172 * [taylor]: Taking taylor expansion of z in y 1.172 * [backup-simplify]: Simplify z into z 1.172 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.172 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.172 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.172 * [taylor]: Taking taylor expansion of 1/2 in y 1.172 * [backup-simplify]: Simplify 1/2 into 1/2 1.172 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.172 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.172 * [taylor]: Taking taylor expansion of z in y 1.172 * [backup-simplify]: Simplify z into z 1.172 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.172 * [taylor]: Taking taylor expansion of y in y 1.172 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.173 * [backup-simplify]: Simplify (* 1 1) into 1 1.173 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.173 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.173 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.173 * [taylor]: Taking taylor expansion of 1/4 in y 1.173 * [backup-simplify]: Simplify 1/4 into 1/4 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.173 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (* 1 1) into 1 1.174 * [backup-simplify]: Simplify (* 1 1) into 1 1.174 * [backup-simplify]: Simplify (/ 1 1) into 1 1.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.175 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.182 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.182 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.182 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.183 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.183 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.184 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.184 * [taylor]: Taking taylor expansion of 0 in z 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [taylor]: Taking taylor expansion of 0 in z 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.186 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.187 * [taylor]: Taking taylor expansion of 0 in z 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [taylor]: Taking taylor expansion of 0 in z 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [taylor]: Taking taylor expansion of 0 in z 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.188 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 1.189 * [backup-simplify]: Simplify (hypot (* 1 (hypot (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) 1.189 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0 1.189 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z 1.189 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.189 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z 1.189 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z 1.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.189 * [taylor]: Taking taylor expansion of -1 in z 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of x in z 1.189 * [backup-simplify]: Simplify x into x 1.189 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.189 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.189 * [taylor]: Taking taylor expansion of -1 in z 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of x in z 1.189 * [backup-simplify]: Simplify x into x 1.189 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.189 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.189 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.189 * [taylor]: Taking taylor expansion of -1 in z 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of y in z 1.189 * [backup-simplify]: Simplify y into y 1.189 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.189 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.189 * [taylor]: Taking taylor expansion of -1 in z 1.189 * [backup-simplify]: Simplify -1 into -1 1.189 * [taylor]: Taking taylor expansion of y in z 1.189 * [backup-simplify]: Simplify y into y 1.189 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.190 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 1.190 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.190 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.190 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 1.190 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.190 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.190 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.191 * [backup-simplify]: Simplify (+ 0 0) into 0 1.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.191 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.191 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.191 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.191 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.191 * [taylor]: Taking taylor expansion of -1 in z 1.191 * [backup-simplify]: Simplify -1 into -1 1.191 * [taylor]: Taking taylor expansion of x in z 1.191 * [backup-simplify]: Simplify x into x 1.191 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.191 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.191 * [taylor]: Taking taylor expansion of -1 in z 1.191 * [backup-simplify]: Simplify -1 into -1 1.191 * [taylor]: Taking taylor expansion of x in z 1.191 * [backup-simplify]: Simplify x into x 1.191 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.191 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.191 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.192 * [taylor]: Taking taylor expansion of -1 in z 1.192 * [backup-simplify]: Simplify -1 into -1 1.192 * [taylor]: Taking taylor expansion of y in z 1.192 * [backup-simplify]: Simplify y into y 1.192 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.192 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.192 * [taylor]: Taking taylor expansion of -1 in z 1.192 * [backup-simplify]: Simplify -1 into -1 1.192 * [taylor]: Taking taylor expansion of y in z 1.192 * [backup-simplify]: Simplify y into y 1.192 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.192 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 1.192 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.192 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.192 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.192 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 1.193 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.193 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.193 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.193 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z 1.193 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.193 * [taylor]: Taking taylor expansion of -1 in z 1.193 * [backup-simplify]: Simplify -1 into -1 1.193 * [taylor]: Taking taylor expansion of z in z 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ -1 1) into -1 1.194 * [taylor]: Taking taylor expansion of (/ -1 z) in z 1.194 * [taylor]: Taking taylor expansion of -1 in z 1.194 * [backup-simplify]: Simplify -1 into -1 1.194 * [taylor]: Taking taylor expansion of z in z 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (/ -1 1) into -1 1.194 * [backup-simplify]: Simplify (* -1 -1) into 1 1.195 * [backup-simplify]: Simplify (+ 0 1) into 1 1.195 * [backup-simplify]: Simplify (sqrt 1) into 1 1.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.196 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.196 * [backup-simplify]: Simplify (+ 0 0) into 0 1.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.197 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y 1.197 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.197 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y 1.197 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y 1.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.197 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.197 * [taylor]: Taking taylor expansion of -1 in y 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of x in y 1.197 * [backup-simplify]: Simplify x into x 1.197 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.197 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.197 * [taylor]: Taking taylor expansion of -1 in y 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of x in y 1.197 * [backup-simplify]: Simplify x into x 1.197 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.197 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.197 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.197 * [taylor]: Taking taylor expansion of -1 in y 1.197 * [backup-simplify]: Simplify -1 into -1 1.197 * [taylor]: Taking taylor expansion of y in y 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (/ -1 1) into -1 1.198 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.198 * [taylor]: Taking taylor expansion of -1 in y 1.198 * [backup-simplify]: Simplify -1 into -1 1.198 * [taylor]: Taking taylor expansion of y in y 1.198 * [backup-simplify]: Simplify 0 into 0 1.198 * [backup-simplify]: Simplify 1 into 1 1.198 * [backup-simplify]: Simplify (/ -1 1) into -1 1.198 * [backup-simplify]: Simplify (* -1 -1) into 1 1.198 * [backup-simplify]: Simplify (+ 0 1) into 1 1.199 * [backup-simplify]: Simplify (sqrt 1) into 1 1.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.200 * [backup-simplify]: Simplify (+ 0 0) into 0 1.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.201 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.201 * [taylor]: Taking taylor expansion of -1 in y 1.201 * [backup-simplify]: Simplify -1 into -1 1.201 * [taylor]: Taking taylor expansion of x in y 1.201 * [backup-simplify]: Simplify x into x 1.201 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.201 * [taylor]: Taking taylor expansion of -1 in y 1.201 * [backup-simplify]: Simplify -1 into -1 1.201 * [taylor]: Taking taylor expansion of x in y 1.201 * [backup-simplify]: Simplify x into x 1.201 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.201 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.201 * [taylor]: Taking taylor expansion of -1 in y 1.201 * [backup-simplify]: Simplify -1 into -1 1.201 * [taylor]: Taking taylor expansion of y in y 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (/ -1 1) into -1 1.202 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.202 * [taylor]: Taking taylor expansion of -1 in y 1.202 * [backup-simplify]: Simplify -1 into -1 1.202 * [taylor]: Taking taylor expansion of y in y 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (/ -1 1) into -1 1.202 * [backup-simplify]: Simplify (* -1 -1) into 1 1.202 * [backup-simplify]: Simplify (+ 0 1) into 1 1.203 * [backup-simplify]: Simplify (sqrt 1) into 1 1.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.204 * [backup-simplify]: Simplify (+ 0 0) into 0 1.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.205 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y 1.205 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.205 * [taylor]: Taking taylor expansion of -1 in y 1.205 * [backup-simplify]: Simplify -1 into -1 1.205 * [taylor]: Taking taylor expansion of z in y 1.205 * [backup-simplify]: Simplify z into z 1.205 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 1.205 * [taylor]: Taking taylor expansion of (/ -1 z) in y 1.205 * [taylor]: Taking taylor expansion of -1 in y 1.205 * [backup-simplify]: Simplify -1 into -1 1.205 * [taylor]: Taking taylor expansion of z in y 1.205 * [backup-simplify]: Simplify z into z 1.205 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 1.205 * [backup-simplify]: Simplify (* 1 1) into 1 1.205 * [backup-simplify]: Simplify (+ 1 0) into 1 1.206 * [backup-simplify]: Simplify (sqrt 1) into 1 1.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.206 * [backup-simplify]: Simplify (+ 0 0) into 0 1.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.207 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.207 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.207 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.207 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [backup-simplify]: Simplify -1 into -1 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ -1 1) into -1 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [backup-simplify]: Simplify -1 into -1 1.208 * [taylor]: Taking taylor expansion of x in x 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 1 into 1 1.208 * [backup-simplify]: Simplify (/ -1 1) into -1 1.208 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [backup-simplify]: Simplify -1 into -1 1.208 * [taylor]: Taking taylor expansion of y in x 1.208 * [backup-simplify]: Simplify y into y 1.208 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.208 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [backup-simplify]: Simplify -1 into -1 1.208 * [taylor]: Taking taylor expansion of y in x 1.208 * [backup-simplify]: Simplify y into y 1.208 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.208 * [backup-simplify]: Simplify (* -1 -1) into 1 1.209 * [backup-simplify]: Simplify (+ 1 0) into 1 1.209 * [backup-simplify]: Simplify (sqrt 1) into 1 1.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.210 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.210 * [backup-simplify]: Simplify (+ 0 0) into 0 1.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.211 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.211 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.211 * [taylor]: Taking taylor expansion of -1 in x 1.211 * [backup-simplify]: Simplify -1 into -1 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (/ -1 1) into -1 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.211 * [taylor]: Taking taylor expansion of -1 in x 1.211 * [backup-simplify]: Simplify -1 into -1 1.211 * [taylor]: Taking taylor expansion of x in x 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 1 into 1 1.212 * [backup-simplify]: Simplify (/ -1 1) into -1 1.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.212 * [taylor]: Taking taylor expansion of -1 in x 1.212 * [backup-simplify]: Simplify -1 into -1 1.212 * [taylor]: Taking taylor expansion of y in x 1.212 * [backup-simplify]: Simplify y into y 1.212 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.212 * [taylor]: Taking taylor expansion of -1 in x 1.212 * [backup-simplify]: Simplify -1 into -1 1.212 * [taylor]: Taking taylor expansion of y in x 1.212 * [backup-simplify]: Simplify y into y 1.212 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.212 * [backup-simplify]: Simplify (* -1 -1) into 1 1.212 * [backup-simplify]: Simplify (+ 1 0) into 1 1.213 * [backup-simplify]: Simplify (sqrt 1) into 1 1.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.214 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.214 * [backup-simplify]: Simplify (+ 0 0) into 0 1.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.214 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.215 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [backup-simplify]: Simplify -1 into -1 1.215 * [taylor]: Taking taylor expansion of z in x 1.215 * [backup-simplify]: Simplify z into z 1.215 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 1.215 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.215 * [taylor]: Taking taylor expansion of -1 in x 1.215 * [backup-simplify]: Simplify -1 into -1 1.215 * [taylor]: Taking taylor expansion of z in x 1.215 * [backup-simplify]: Simplify z into z 1.215 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 1.215 * [backup-simplify]: Simplify (* 1 1) into 1 1.215 * [backup-simplify]: Simplify (+ 1 0) into 1 1.215 * [backup-simplify]: Simplify (sqrt 1) into 1 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.216 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x 1.217 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x 1.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [backup-simplify]: Simplify -1 into -1 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (/ -1 1) into -1 1.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.217 * [taylor]: Taking taylor expansion of -1 in x 1.217 * [backup-simplify]: Simplify -1 into -1 1.217 * [taylor]: Taking taylor expansion of x in x 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.218 * [backup-simplify]: Simplify (/ -1 1) into -1 1.218 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.218 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [backup-simplify]: Simplify -1 into -1 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [backup-simplify]: Simplify y into y 1.218 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.218 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.218 * [taylor]: Taking taylor expansion of -1 in x 1.218 * [backup-simplify]: Simplify -1 into -1 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [backup-simplify]: Simplify y into y 1.218 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.218 * [backup-simplify]: Simplify (* -1 -1) into 1 1.218 * [backup-simplify]: Simplify (+ 1 0) into 1 1.218 * [backup-simplify]: Simplify (sqrt 1) into 1 1.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.220 * [backup-simplify]: Simplify (+ 0 0) into 0 1.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.220 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.221 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.221 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [backup-simplify]: Simplify -1 into -1 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ -1 1) into -1 1.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [backup-simplify]: Simplify -1 into -1 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ -1 1) into -1 1.221 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [backup-simplify]: Simplify -1 into -1 1.221 * [taylor]: Taking taylor expansion of y in x 1.221 * [backup-simplify]: Simplify y into y 1.221 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.221 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [backup-simplify]: Simplify -1 into -1 1.222 * [taylor]: Taking taylor expansion of y in x 1.222 * [backup-simplify]: Simplify y into y 1.222 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.222 * [backup-simplify]: Simplify (* -1 -1) into 1 1.222 * [backup-simplify]: Simplify (+ 1 0) into 1 1.222 * [backup-simplify]: Simplify (sqrt 1) into 1 1.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.224 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.224 * [backup-simplify]: Simplify (+ 0 0) into 0 1.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.228 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x 1.228 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.228 * [taylor]: Taking taylor expansion of -1 in x 1.228 * [backup-simplify]: Simplify -1 into -1 1.228 * [taylor]: Taking taylor expansion of z in x 1.228 * [backup-simplify]: Simplify z into z 1.228 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 1.228 * [taylor]: Taking taylor expansion of (/ -1 z) in x 1.228 * [taylor]: Taking taylor expansion of -1 in x 1.228 * [backup-simplify]: Simplify -1 into -1 1.228 * [taylor]: Taking taylor expansion of z in x 1.228 * [backup-simplify]: Simplify z into z 1.228 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z) 1.228 * [backup-simplify]: Simplify (* 1 1) into 1 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.229 * [backup-simplify]: Simplify (sqrt 1) into 1 1.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.230 * [taylor]: Taking taylor expansion of 1 in y 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [taylor]: Taking taylor expansion of 0 in y 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [taylor]: Taking taylor expansion of 1 in z 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.232 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.232 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.233 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.234 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.234 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.236 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.236 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2)) 1.236 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.237 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1.237 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.237 * [taylor]: Taking taylor expansion of 1/2 in y 1.237 * [backup-simplify]: Simplify 1/2 into 1/2 1.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.237 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.237 * [taylor]: Taking taylor expansion of z in y 1.237 * [backup-simplify]: Simplify z into z 1.237 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.237 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.237 * [taylor]: Taking taylor expansion of y in y 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (* 1 1) into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (+ 0 1) into 1 1.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.239 * [taylor]: Taking taylor expansion of 0 in z 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [taylor]: Taking taylor expansion of 0 in z 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [taylor]: Taking taylor expansion of 0 in z 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.242 * [backup-simplify]: Simplify (+ 0 0) into 0 1.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 1.246 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0 1.246 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.248 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.249 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.249 * [taylor]: Taking taylor expansion of 1/2 in z 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.249 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.249 * [taylor]: Taking taylor expansion of z in z 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (* 1 1) into 1 1.249 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in z 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in z 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.253 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.256 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.256 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.258 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.259 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 1.259 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0 1.259 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 0) into 0 1.260 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 1.260 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.260 * [taylor]: Taking taylor expansion of -1/2 in y 1.260 * [backup-simplify]: Simplify -1/2 into -1/2 1.260 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.260 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.260 * [taylor]: Taking taylor expansion of 1/4 in y 1.260 * [backup-simplify]: Simplify 1/4 into 1/4 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.260 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.260 * [taylor]: Taking taylor expansion of z in y 1.260 * [backup-simplify]: Simplify z into z 1.261 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.261 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.261 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.261 * [taylor]: Taking taylor expansion of 1/2 in y 1.261 * [backup-simplify]: Simplify 1/2 into 1/2 1.261 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.261 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.261 * [taylor]: Taking taylor expansion of z in y 1.261 * [backup-simplify]: Simplify z into z 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [backup-simplify]: Simplify 1 into 1 1.261 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.261 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.262 * [taylor]: Taking taylor expansion of 1/4 in y 1.262 * [backup-simplify]: Simplify 1/4 into 1/4 1.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.262 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.262 * [taylor]: Taking taylor expansion of y in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.262 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (* 1 1) into 1 1.262 * [backup-simplify]: Simplify (/ 1 1) into 1 1.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.263 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.270 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.270 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.270 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.272 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.272 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.273 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.273 * [taylor]: Taking taylor expansion of 0 in z 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [taylor]: Taking taylor expansion of 0 in z 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.276 * [taylor]: Taking taylor expansion of 0 in z 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in z 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in z 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 1.278 * * * [progress]: simplifying candidates 1.278 * [simplify]: Simplifying: (expm1 (hypot (* 1 (hypot x y)) z)) (log1p (hypot (* 1 (hypot x y)) z)) (+ (* (* 1 (hypot x y)) (* 1 (hypot x y))) (* z z)) (log (hypot (* 1 (hypot x y)) z)) (exp (hypot (* 1 (hypot x y)) z)) (* (cbrt (hypot (* 1 (hypot x y)) z)) (cbrt (hypot (* 1 (hypot x y)) z))) (cbrt (hypot (* 1 (hypot x y)) z)) (* (* (hypot (* 1 (hypot x y)) z) (hypot (* 1 (hypot x y)) z)) (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) (sqrt (hypot (* 1 (hypot x y)) z)) z x (* -1 x) 1.278 * [simplify]: Sending expressions to egg_math: (expm1 (hypot (* 1 (hypot h0 h1)) h2)) (log1p (hypot (* 1 (hypot h0 h1)) h2)) (+ (* (* 1 (hypot h0 h1)) (* 1 (hypot h0 h1))) (* h2 h2)) (log (hypot (* 1 (hypot h0 h1)) h2)) (exp (hypot (* 1 (hypot h0 h1)) h2)) (* (cbrt (hypot (* 1 (hypot h0 h1)) h2)) (cbrt (hypot (* 1 (hypot h0 h1)) h2))) (cbrt (hypot (* 1 (hypot h0 h1)) h2)) (* (* (hypot (* 1 (hypot h0 h1)) h2) (hypot (* 1 (hypot h0 h1)) h2)) (hypot (* 1 (hypot h0 h1)) h2)) (sqrt (hypot (* 1 (hypot h0 h1)) h2)) (sqrt (hypot (* 1 (hypot h0 h1)) h2)) h2 h0 (* -1 h0) 1.281 * * [simplify]: iteration 0 : 36 enodes (cost 55 ) 1.283 * * [simplify]: iteration 1 : 47 enodes (cost 46 ) 1.285 * * [simplify]: iteration 2 : 63 enodes (cost 46 ) 1.288 * * [simplify]: iteration 3 : 116 enodes (cost 46 ) 1.291 * * [simplify]: iteration 4 : 341 enodes (cost 46 ) 1.305 * * [simplify]: iteration 5 : 1395 enodes (cost 46 ) 1.391 * * [simplify]: iteration 6 : 5001 enodes (cost 46 ) 1.392 * * * [progress]: adding candidates to table 1.428 * * [progress]: iteration 4 / 4 1.428 * * * [progress]: picking best candidate 1.430 * * * * [pick]: Picked # 1.430 * * * [progress]: localizing error 1.438 * * * [progress]: generating rewritten candidates 1.438 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.446 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.455 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 1.463 * * * [progress]: generating series expansions 1.463 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.464 * [backup-simplify]: Simplify (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) into (sqrt (+ (pow (hypot x y) 2) (pow z 2))) 1.464 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (hypot x y) 2) (pow z 2))) in (x y z) around 0 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot x y) 2) (pow z 2))) in z 1.464 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in z 1.464 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in z 1.464 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.464 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.464 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.464 * [taylor]: Taking taylor expansion of (* x x) in z 1.464 * [taylor]: Taking taylor expansion of x in z 1.464 * [backup-simplify]: Simplify x into x 1.464 * [taylor]: Taking taylor expansion of x in z 1.464 * [backup-simplify]: Simplify x into x 1.464 * [taylor]: Taking taylor expansion of (* y y) in z 1.464 * [taylor]: Taking taylor expansion of y in z 1.464 * [backup-simplify]: Simplify y into y 1.464 * [taylor]: Taking taylor expansion of y in z 1.464 * [backup-simplify]: Simplify y into y 1.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.464 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.464 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.465 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.465 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.465 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.465 * [taylor]: Taking taylor expansion of z in z 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2)) 1.466 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2)) 1.466 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.466 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot x y) 2) (pow z 2))) in y 1.467 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in y 1.467 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.467 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.467 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.467 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.467 * [taylor]: Taking taylor expansion of (* x x) in y 1.467 * [taylor]: Taking taylor expansion of x in y 1.467 * [backup-simplify]: Simplify x into x 1.467 * [taylor]: Taking taylor expansion of x in y 1.467 * [backup-simplify]: Simplify x into x 1.467 * [taylor]: Taking taylor expansion of (* y y) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.468 * [backup-simplify]: Simplify (* 0 0) into 0 1.468 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.468 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.468 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.468 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.469 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.469 * [taylor]: Taking taylor expansion of z in y 1.469 * [backup-simplify]: Simplify z into z 1.469 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.469 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.469 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 1.469 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 1.469 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.469 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot x y) 2) (pow z 2))) in x 1.470 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in x 1.470 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.470 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.470 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.470 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.470 * [taylor]: Taking taylor expansion of (* x x) in x 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of x in x 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of (* y y) in x 1.470 * [taylor]: Taking taylor expansion of y in x 1.470 * [backup-simplify]: Simplify y into y 1.470 * [taylor]: Taking taylor expansion of y in x 1.470 * [backup-simplify]: Simplify y into y 1.470 * [backup-simplify]: Simplify (* 0 0) into 0 1.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.470 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.470 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.471 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.471 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.471 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.471 * [taylor]: Taking taylor expansion of z in x 1.471 * [backup-simplify]: Simplify z into z 1.471 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.471 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.472 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.472 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.472 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.472 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.472 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot x y) 2) (pow z 2))) in x 1.472 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in x 1.472 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.472 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.472 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.472 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.472 * [taylor]: Taking taylor expansion of (* x x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of x in x 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [taylor]: Taking taylor expansion of (* y y) in x 1.473 * [taylor]: Taking taylor expansion of y in x 1.473 * [backup-simplify]: Simplify y into y 1.473 * [taylor]: Taking taylor expansion of y in x 1.473 * [backup-simplify]: Simplify y into y 1.473 * [backup-simplify]: Simplify (* 0 0) into 0 1.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.473 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.473 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.474 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.474 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.474 * [taylor]: Taking taylor expansion of z in x 1.474 * [backup-simplify]: Simplify z into z 1.474 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.474 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.474 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.474 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.474 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.475 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.475 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.475 * [taylor]: Taking taylor expansion of y in y 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.475 * [taylor]: Taking taylor expansion of z in y 1.475 * [backup-simplify]: Simplify z into z 1.475 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.475 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.475 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 1.476 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 1.476 * [taylor]: Taking taylor expansion of z in z 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [taylor]: Taking taylor expansion of 0 in y 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [taylor]: Taking taylor expansion of 0 in z 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [taylor]: Taking taylor expansion of 0 in z 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.477 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.477 * [backup-simplify]: Simplify (+ 1 0) into 1 1.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.478 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 1.478 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.479 * [backup-simplify]: Simplify (+ 1 0) into 1 1.479 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) 1.479 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.479 * [taylor]: Taking taylor expansion of 1/2 in y 1.479 * [backup-simplify]: Simplify 1/2 into 1/2 1.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.479 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.479 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.479 * [taylor]: Taking taylor expansion of y in y 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.479 * [taylor]: Taking taylor expansion of z in y 1.479 * [backup-simplify]: Simplify z into z 1.480 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.480 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.480 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.480 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 1.480 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 1.481 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 1.481 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.481 * [taylor]: Taking taylor expansion of 1/2 in z 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of z in z 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [taylor]: Taking taylor expansion of 0 in z 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (* 1 1) into 1 1.482 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.482 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 1.483 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.483 * [taylor]: Taking taylor expansion of 1/2 in z 1.483 * [backup-simplify]: Simplify 1/2 into 1/2 1.483 * [taylor]: Taking taylor expansion of z in z 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 1.484 * [backup-simplify]: Simplify (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2)))) 1.484 * [approximate]: Taking taylor expansion of (sqrt (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2)))) in (x y z) around 0 1.484 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2)))) in z 1.484 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in z 1.484 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in z 1.484 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.485 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.485 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.485 * [taylor]: Taking taylor expansion of x in z 1.485 * [backup-simplify]: Simplify x into x 1.485 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.485 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.485 * [taylor]: Taking taylor expansion of x in z 1.485 * [backup-simplify]: Simplify x into x 1.485 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.485 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.485 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.485 * [taylor]: Taking taylor expansion of y in z 1.485 * [backup-simplify]: Simplify y into y 1.485 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.485 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.485 * [taylor]: Taking taylor expansion of y in z 1.485 * [backup-simplify]: Simplify y into y 1.485 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.485 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 1.485 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.485 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.485 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.486 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.486 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.487 * [taylor]: Taking taylor expansion of z in z 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify (sqrt 1) into 1 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2)))) in y 1.489 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in y 1.489 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.489 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.489 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.489 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.489 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.489 * [taylor]: Taking taylor expansion of x in y 1.489 * [backup-simplify]: Simplify x into x 1.489 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.489 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.489 * [taylor]: Taking taylor expansion of x in y 1.489 * [backup-simplify]: Simplify x into x 1.489 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.489 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.489 * [taylor]: Taking taylor expansion of y in y 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.490 * [taylor]: Taking taylor expansion of y in y 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (+ 0 1) into 1 1.491 * [backup-simplify]: Simplify (sqrt 1) into 1 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.493 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.493 * [taylor]: Taking taylor expansion of z in y 1.493 * [backup-simplify]: Simplify z into z 1.493 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.493 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (+ 1 0) into 1 1.494 * [backup-simplify]: Simplify (sqrt 1) into 1 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.498 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2)))) in x 1.498 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in x 1.498 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.498 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.498 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.498 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.499 * [taylor]: Taking taylor expansion of y in x 1.499 * [backup-simplify]: Simplify y into y 1.499 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.499 * [taylor]: Taking taylor expansion of y in x 1.499 * [backup-simplify]: Simplify y into y 1.499 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (+ 1 0) into 1 1.500 * [backup-simplify]: Simplify (sqrt 1) into 1 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.502 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.502 * [taylor]: Taking taylor expansion of z in x 1.502 * [backup-simplify]: Simplify z into z 1.502 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.502 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (+ 1 0) into 1 1.503 * [backup-simplify]: Simplify (sqrt 1) into 1 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2)))) in x 1.504 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in x 1.504 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.504 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.504 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.504 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.504 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.504 * [taylor]: Taking taylor expansion of x in x 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [backup-simplify]: Simplify y into y 1.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.505 * [taylor]: Taking taylor expansion of y in x 1.505 * [backup-simplify]: Simplify y into y 1.505 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.505 * [backup-simplify]: Simplify (sqrt 1) into 1 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.507 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.507 * [taylor]: Taking taylor expansion of z in x 1.507 * [backup-simplify]: Simplify z into z 1.507 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.508 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.508 * [backup-simplify]: Simplify (+ 1 0) into 1 1.508 * [backup-simplify]: Simplify (sqrt 1) into 1 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.509 * [taylor]: Taking taylor expansion of 1 in y 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [taylor]: Taking taylor expansion of 0 in y 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [taylor]: Taking taylor expansion of 1 in z 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.511 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.511 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.512 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.513 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.513 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.514 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1.514 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.514 * [taylor]: Taking taylor expansion of 1/2 in y 1.514 * [backup-simplify]: Simplify 1/2 into 1/2 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.514 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.514 * [taylor]: Taking taylor expansion of z in y 1.514 * [backup-simplify]: Simplify z into z 1.514 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.514 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.514 * [taylor]: Taking taylor expansion of y in y 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify (+ 0 0) into 0 1.516 * [backup-simplify]: Simplify (+ 0 1) into 1 1.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in z 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in z 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 0 in z 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.518 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.522 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.522 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.522 * [taylor]: Taking taylor expansion of 1/2 in z 1.522 * [backup-simplify]: Simplify 1/2 into 1/2 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.523 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.523 * [taylor]: Taking taylor expansion of z in z 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [taylor]: Taking taylor expansion of 0 in z 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [taylor]: Taking taylor expansion of 0 in z 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.529 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.529 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 1.531 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.531 * [taylor]: Taking taylor expansion of -1/2 in y 1.531 * [backup-simplify]: Simplify -1/2 into -1/2 1.531 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.531 * [taylor]: Taking taylor expansion of 1/4 in y 1.531 * [backup-simplify]: Simplify 1/4 into 1/4 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.531 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.531 * [taylor]: Taking taylor expansion of z in y 1.531 * [backup-simplify]: Simplify z into z 1.531 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.531 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.531 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.531 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.531 * [taylor]: Taking taylor expansion of 1/2 in y 1.531 * [backup-simplify]: Simplify 1/2 into 1/2 1.531 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.531 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.531 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.531 * [taylor]: Taking taylor expansion of z in y 1.532 * [backup-simplify]: Simplify z into z 1.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.532 * [backup-simplify]: Simplify (* 1 1) into 1 1.532 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.532 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.532 * [taylor]: Taking taylor expansion of 1/4 in y 1.532 * [backup-simplify]: Simplify 1/4 into 1/4 1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.532 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.532 * [taylor]: Taking taylor expansion of y in y 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.533 * [backup-simplify]: Simplify (/ 1 1) into 1 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.533 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.534 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.540 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.540 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.542 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.542 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.543 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.543 * [taylor]: Taking taylor expansion of 0 in z 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [taylor]: Taking taylor expansion of 0 in z 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.546 * [taylor]: Taking taylor expansion of 0 in z 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in z 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [taylor]: Taking taylor expansion of 0 in z 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 1.548 * [backup-simplify]: Simplify (sqrt (+ (* (hypot (/ 1 (- x)) (/ 1 (- y))) (hypot (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) 1.548 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in (x y z) around 0 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in z 1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in z 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.548 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.548 * [taylor]: Taking taylor expansion of z in z 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1 1) into 1 1.549 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in z 1.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.549 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.549 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.549 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.549 * [taylor]: Taking taylor expansion of -1 in z 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [taylor]: Taking taylor expansion of x in z 1.549 * [backup-simplify]: Simplify x into x 1.549 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.549 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.549 * [taylor]: Taking taylor expansion of -1 in z 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [taylor]: Taking taylor expansion of x in z 1.549 * [backup-simplify]: Simplify x into x 1.549 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.549 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.549 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.549 * [taylor]: Taking taylor expansion of -1 in z 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [taylor]: Taking taylor expansion of y in z 1.549 * [backup-simplify]: Simplify y into y 1.549 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.549 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.549 * [taylor]: Taking taylor expansion of -1 in z 1.549 * [backup-simplify]: Simplify -1 into -1 1.549 * [taylor]: Taking taylor expansion of y in z 1.549 * [backup-simplify]: Simplify y into y 1.549 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.549 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 1.549 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.550 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.550 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.550 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.550 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.550 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.551 * [backup-simplify]: Simplify (+ 1 0) into 1 1.551 * [backup-simplify]: Simplify (sqrt 1) into 1 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in y 1.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.553 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.553 * [taylor]: Taking taylor expansion of z in y 1.553 * [backup-simplify]: Simplify z into z 1.553 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.553 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.553 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.553 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.553 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.553 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.553 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.553 * [taylor]: Taking taylor expansion of -1 in y 1.553 * [backup-simplify]: Simplify -1 into -1 1.553 * [taylor]: Taking taylor expansion of x in y 1.553 * [backup-simplify]: Simplify x into x 1.553 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.553 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.554 * [taylor]: Taking taylor expansion of -1 in y 1.554 * [backup-simplify]: Simplify -1 into -1 1.554 * [taylor]: Taking taylor expansion of x in y 1.554 * [backup-simplify]: Simplify x into x 1.554 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.554 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.554 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.554 * [taylor]: Taking taylor expansion of -1 in y 1.554 * [backup-simplify]: Simplify -1 into -1 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ -1 1) into -1 1.554 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.554 * [taylor]: Taking taylor expansion of -1 in y 1.554 * [backup-simplify]: Simplify -1 into -1 1.554 * [taylor]: Taking taylor expansion of y in y 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.554 * [backup-simplify]: Simplify (/ -1 1) into -1 1.555 * [backup-simplify]: Simplify (* -1 -1) into 1 1.555 * [backup-simplify]: Simplify (+ 0 1) into 1 1.555 * [backup-simplify]: Simplify (sqrt 1) into 1 1.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.557 * [backup-simplify]: Simplify (+ 0 1) into 1 1.558 * [backup-simplify]: Simplify (sqrt 1) into 1 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.559 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.559 * [taylor]: Taking taylor expansion of z in x 1.559 * [backup-simplify]: Simplify z into z 1.559 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.559 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.559 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.559 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [backup-simplify]: Simplify -1 into -1 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (/ -1 1) into -1 1.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [backup-simplify]: Simplify -1 into -1 1.560 * [taylor]: Taking taylor expansion of x in x 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (/ -1 1) into -1 1.560 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.560 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [backup-simplify]: Simplify -1 into -1 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [backup-simplify]: Simplify y into y 1.560 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.560 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.560 * [taylor]: Taking taylor expansion of -1 in x 1.560 * [backup-simplify]: Simplify -1 into -1 1.560 * [taylor]: Taking taylor expansion of y in x 1.560 * [backup-simplify]: Simplify y into y 1.560 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.561 * [backup-simplify]: Simplify (* -1 -1) into 1 1.561 * [backup-simplify]: Simplify (+ 1 0) into 1 1.561 * [backup-simplify]: Simplify (sqrt 1) into 1 1.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (+ 0 1) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2))) in x 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.565 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.565 * [taylor]: Taking taylor expansion of z in x 1.565 * [backup-simplify]: Simplify z into z 1.565 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.565 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.565 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.565 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.565 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.565 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.565 * [taylor]: Taking taylor expansion of -1 in x 1.565 * [backup-simplify]: Simplify -1 into -1 1.565 * [taylor]: Taking taylor expansion of x in x 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (/ -1 1) into -1 1.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.566 * [taylor]: Taking taylor expansion of -1 in x 1.566 * [backup-simplify]: Simplify -1 into -1 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (/ -1 1) into -1 1.566 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.566 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.566 * [taylor]: Taking taylor expansion of -1 in x 1.566 * [backup-simplify]: Simplify -1 into -1 1.566 * [taylor]: Taking taylor expansion of y in x 1.566 * [backup-simplify]: Simplify y into y 1.566 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.566 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.566 * [taylor]: Taking taylor expansion of -1 in x 1.566 * [backup-simplify]: Simplify -1 into -1 1.566 * [taylor]: Taking taylor expansion of y in x 1.566 * [backup-simplify]: Simplify y into y 1.566 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.567 * [backup-simplify]: Simplify (* -1 -1) into 1 1.567 * [backup-simplify]: Simplify (+ 1 0) into 1 1.567 * [backup-simplify]: Simplify (sqrt 1) into 1 1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (+ 0 1) into 1 1.570 * [backup-simplify]: Simplify (sqrt 1) into 1 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.571 * [taylor]: Taking taylor expansion of 1 in y 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [taylor]: Taking taylor expansion of 0 in y 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [taylor]: Taking taylor expansion of 1 in z 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.573 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.574 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.574 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.575 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1.575 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.575 * [taylor]: Taking taylor expansion of 1/2 in y 1.575 * [backup-simplify]: Simplify 1/2 into 1/2 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.575 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.575 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.575 * [taylor]: Taking taylor expansion of z in y 1.575 * [backup-simplify]: Simplify z into z 1.575 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.576 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (* 1 1) into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 1) into 1 1.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [taylor]: Taking taylor expansion of 0 in z 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.580 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.580 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.582 * [taylor]: Taking taylor expansion of 0 in y 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.584 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.584 * [taylor]: Taking taylor expansion of 1/2 in z 1.584 * [backup-simplify]: Simplify 1/2 into 1/2 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.584 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.584 * [taylor]: Taking taylor expansion of z in z 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.585 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [taylor]: Taking taylor expansion of 0 in z 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.589 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.591 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.593 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) 1.593 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y 1.593 * [taylor]: Taking taylor expansion of -1/2 in y 1.593 * [backup-simplify]: Simplify -1/2 into -1/2 1.593 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y 1.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.593 * [taylor]: Taking taylor expansion of 1/4 in y 1.593 * [backup-simplify]: Simplify 1/4 into 1/4 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.593 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.593 * [taylor]: Taking taylor expansion of z in y 1.593 * [backup-simplify]: Simplify z into z 1.593 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.593 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.593 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.593 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.593 * [taylor]: Taking taylor expansion of 1/2 in y 1.594 * [backup-simplify]: Simplify 1/2 into 1/2 1.594 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.594 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.594 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.594 * [taylor]: Taking taylor expansion of z in y 1.594 * [backup-simplify]: Simplify z into z 1.594 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.594 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.594 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.594 * [taylor]: Taking taylor expansion of 1/4 in y 1.594 * [backup-simplify]: Simplify 1/4 into 1/4 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.594 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.594 * [taylor]: Taking taylor expansion of y in y 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.596 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.606 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.606 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.607 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.608 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.608 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.608 * [taylor]: Taking taylor expansion of 0 in z 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [taylor]: Taking taylor expansion of 0 in z 1.608 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [taylor]: Taking taylor expansion of 0 in z 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 1.613 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.613 * [backup-simplify]: Simplify (+ (* (hypot x y) (hypot x y)) (* z z)) into (+ (pow (hypot x y) 2) (pow z 2)) 1.613 * [approximate]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in (x y z) around 0 1.613 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in z 1.613 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in z 1.613 * [taylor]: Taking taylor expansion of (hypot x y) in z 1.613 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.613 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z 1.613 * [taylor]: Taking taylor expansion of (* x x) in z 1.613 * [taylor]: Taking taylor expansion of x in z 1.613 * [backup-simplify]: Simplify x into x 1.613 * [taylor]: Taking taylor expansion of x in z 1.613 * [backup-simplify]: Simplify x into x 1.613 * [taylor]: Taking taylor expansion of (* y y) in z 1.613 * [taylor]: Taking taylor expansion of y in z 1.613 * [backup-simplify]: Simplify y into y 1.613 * [taylor]: Taking taylor expansion of y in z 1.613 * [backup-simplify]: Simplify y into y 1.613 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.613 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.614 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.614 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.614 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.614 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.614 * [taylor]: Taking taylor expansion of z in z 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in y 1.615 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.615 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.615 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.615 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.615 * [taylor]: Taking taylor expansion of (* x x) in y 1.615 * [taylor]: Taking taylor expansion of x in y 1.615 * [backup-simplify]: Simplify x into x 1.615 * [taylor]: Taking taylor expansion of x in y 1.615 * [backup-simplify]: Simplify x into x 1.615 * [taylor]: Taking taylor expansion of (* y y) in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of y in y 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.615 * [backup-simplify]: Simplify (* 0 0) into 0 1.615 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.615 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.615 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.616 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.616 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.616 * [taylor]: Taking taylor expansion of z in y 1.616 * [backup-simplify]: Simplify z into z 1.616 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in x 1.616 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.616 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.616 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.616 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.616 * [taylor]: Taking taylor expansion of (* x x) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of (* y y) in x 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [backup-simplify]: Simplify y into y 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [backup-simplify]: Simplify y into y 1.617 * [backup-simplify]: Simplify (* 0 0) into 0 1.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.617 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.617 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.617 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.618 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.618 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.618 * [taylor]: Taking taylor expansion of z in x 1.618 * [backup-simplify]: Simplify z into z 1.618 * [taylor]: Taking taylor expansion of (+ (pow (hypot x y) 2) (pow z 2)) in x 1.618 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.618 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.618 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.618 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.618 * [taylor]: Taking taylor expansion of (* x x) in x 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of x in x 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [taylor]: Taking taylor expansion of (* y y) in x 1.618 * [taylor]: Taking taylor expansion of y in x 1.618 * [backup-simplify]: Simplify y into y 1.618 * [taylor]: Taking taylor expansion of y in x 1.618 * [backup-simplify]: Simplify y into y 1.619 * [backup-simplify]: Simplify (* 0 0) into 0 1.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.619 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.619 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.619 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.620 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.620 * [taylor]: Taking taylor expansion of z in x 1.620 * [backup-simplify]: Simplify z into z 1.620 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.620 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.620 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.620 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.620 * [taylor]: Taking taylor expansion of z in y 1.620 * [backup-simplify]: Simplify z into z 1.620 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.620 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.620 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.620 * [taylor]: Taking taylor expansion of z in z 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.620 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in y 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [taylor]: Taking taylor expansion of 0 in z 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [taylor]: Taking taylor expansion of 0 in z 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.622 * [backup-simplify]: Simplify (+ 1 0) into 1 1.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.623 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 1.623 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.624 * [backup-simplify]: Simplify (+ 1 0) into 1 1.624 * [taylor]: Taking taylor expansion of 1 in y 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of 1 in z 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of 0 in z 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.624 * [backup-simplify]: Simplify (+ 1 0) into 1 1.624 * [taylor]: Taking taylor expansion of 1 in z 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify (* 1 1) into 1 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1.626 * [backup-simplify]: Simplify (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) 1.626 * [approximate]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in (x y z) around 0 1.626 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in z 1.626 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in z 1.626 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.626 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z 1.626 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.626 * [taylor]: Taking taylor expansion of x in z 1.626 * [backup-simplify]: Simplify x into x 1.626 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.626 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.626 * [taylor]: Taking taylor expansion of x in z 1.626 * [backup-simplify]: Simplify x into x 1.626 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.626 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z 1.626 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.626 * [taylor]: Taking taylor expansion of y in z 1.626 * [backup-simplify]: Simplify y into y 1.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.626 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.626 * [taylor]: Taking taylor expansion of y in z 1.626 * [backup-simplify]: Simplify y into y 1.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.626 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 1.626 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.627 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.627 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.628 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.628 * [taylor]: Taking taylor expansion of z in z 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (* 1 1) into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in y 1.628 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.628 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.629 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [backup-simplify]: Simplify x into x 1.629 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [backup-simplify]: Simplify x into x 1.629 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.629 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (* 1 1) into 1 1.630 * [backup-simplify]: Simplify (+ 0 1) into 1 1.630 * [backup-simplify]: Simplify (sqrt 1) into 1 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.632 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.632 * [taylor]: Taking taylor expansion of z in y 1.632 * [backup-simplify]: Simplify z into z 1.632 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.632 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.632 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in x 1.632 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.632 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.633 * [taylor]: Taking taylor expansion of x in x 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.633 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.633 * [taylor]: Taking taylor expansion of y in x 1.633 * [backup-simplify]: Simplify y into y 1.633 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.633 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.633 * [taylor]: Taking taylor expansion of y in x 1.633 * [backup-simplify]: Simplify y into y 1.633 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.634 * [backup-simplify]: Simplify (+ 1 0) into 1 1.634 * [backup-simplify]: Simplify (sqrt 1) into 1 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.636 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.636 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.636 * [taylor]: Taking taylor expansion of z in x 1.636 * [backup-simplify]: Simplify z into z 1.636 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.636 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.636 * [taylor]: Taking taylor expansion of (+ (pow (hypot (/ 1 x) (/ 1 y)) 2) (/ 1 (pow z 2))) in x 1.636 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.636 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.636 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.636 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (/ 1 1) into 1 1.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ 1 1) into 1 1.637 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.637 * [taylor]: Taking taylor expansion of y in x 1.637 * [backup-simplify]: Simplify y into y 1.637 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.637 * [taylor]: Taking taylor expansion of y in x 1.637 * [backup-simplify]: Simplify y into y 1.637 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.637 * [backup-simplify]: Simplify (* 1 1) into 1 1.637 * [backup-simplify]: Simplify (+ 1 0) into 1 1.638 * [backup-simplify]: Simplify (sqrt 1) into 1 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (+ 0 0) into 0 1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.639 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.639 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.639 * [taylor]: Taking taylor expansion of z in x 1.639 * [backup-simplify]: Simplify z into z 1.640 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.640 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (+ 1 0) into 1 1.640 * [taylor]: Taking taylor expansion of 1 in y 1.640 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.641 * [taylor]: Taking taylor expansion of 0 in y 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.643 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.643 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.644 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.644 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.644 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.645 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.645 * [taylor]: Taking taylor expansion of z in y 1.645 * [backup-simplify]: Simplify z into z 1.645 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.645 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.645 * [taylor]: Taking taylor expansion of y in y 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.646 * [backup-simplify]: Simplify (+ 0 1) into 1 1.646 * [taylor]: Taking taylor expansion of 1 in z 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of 1 in z 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [taylor]: Taking taylor expansion of 0 in y 1.649 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.651 * [taylor]: Taking taylor expansion of 0 in z 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [taylor]: Taking taylor expansion of 0 in z 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [taylor]: Taking taylor expansion of 0 in z 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.653 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.655 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.655 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [taylor]: Taking taylor expansion of 0 in y 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.657 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.657 * [taylor]: Taking taylor expansion of z in z 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (* 1 1) into 1 1.658 * [backup-simplify]: Simplify (/ 1 1) into 1 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of 0 in z 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [taylor]: Taking taylor expansion of 0 in z 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1.659 * [backup-simplify]: Simplify (+ (* (hypot (/ 1 (- x)) (/ 1 (- y))) (hypot (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) 1.659 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in (x y z) around 0 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in z 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.659 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.659 * [taylor]: Taking taylor expansion of z in z 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (* 1 1) into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in z 1.660 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z 1.660 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.660 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z 1.660 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z 1.660 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.660 * [taylor]: Taking taylor expansion of -1 in z 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of x in z 1.660 * [backup-simplify]: Simplify x into x 1.660 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.660 * [taylor]: Taking taylor expansion of (/ -1 x) in z 1.660 * [taylor]: Taking taylor expansion of -1 in z 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of x in z 1.660 * [backup-simplify]: Simplify x into x 1.660 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.660 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z 1.660 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.660 * [taylor]: Taking taylor expansion of -1 in z 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of y in z 1.660 * [backup-simplify]: Simplify y into y 1.660 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.660 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.660 * [taylor]: Taking taylor expansion of -1 in z 1.660 * [backup-simplify]: Simplify -1 into -1 1.660 * [taylor]: Taking taylor expansion of y in z 1.660 * [backup-simplify]: Simplify y into y 1.660 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.660 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 1.660 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.660 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.661 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.661 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.661 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 1.661 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.661 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.661 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.662 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in y 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.662 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.662 * [taylor]: Taking taylor expansion of z in y 1.662 * [backup-simplify]: Simplify z into z 1.662 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.662 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.662 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.662 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.662 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.662 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.662 * [taylor]: Taking taylor expansion of -1 in y 1.662 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of x in y 1.662 * [backup-simplify]: Simplify x into x 1.662 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.662 * [taylor]: Taking taylor expansion of -1 in y 1.662 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of x in y 1.662 * [backup-simplify]: Simplify x into x 1.662 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.662 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.662 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.662 * [taylor]: Taking taylor expansion of -1 in y 1.662 * [backup-simplify]: Simplify -1 into -1 1.662 * [taylor]: Taking taylor expansion of y in y 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ -1 1) into -1 1.663 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.663 * [taylor]: Taking taylor expansion of -1 in y 1.663 * [backup-simplify]: Simplify -1 into -1 1.663 * [taylor]: Taking taylor expansion of y in y 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ -1 1) into -1 1.664 * [backup-simplify]: Simplify (* -1 -1) into 1 1.664 * [backup-simplify]: Simplify (+ 0 1) into 1 1.664 * [backup-simplify]: Simplify (sqrt 1) into 1 1.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.666 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.666 * [taylor]: Taking taylor expansion of z in x 1.666 * [backup-simplify]: Simplify z into z 1.666 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.666 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.666 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.666 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.666 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.666 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.666 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.666 * [taylor]: Taking taylor expansion of -1 in x 1.666 * [backup-simplify]: Simplify -1 into -1 1.666 * [taylor]: Taking taylor expansion of x in x 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ -1 1) into -1 1.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [backup-simplify]: Simplify -1 into -1 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ -1 1) into -1 1.667 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.667 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [backup-simplify]: Simplify -1 into -1 1.667 * [taylor]: Taking taylor expansion of y in x 1.667 * [backup-simplify]: Simplify y into y 1.667 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.667 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.667 * [taylor]: Taking taylor expansion of -1 in x 1.667 * [backup-simplify]: Simplify -1 into -1 1.667 * [taylor]: Taking taylor expansion of y in x 1.667 * [backup-simplify]: Simplify y into y 1.667 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.668 * [backup-simplify]: Simplify (* -1 -1) into 1 1.668 * [backup-simplify]: Simplify (+ 1 0) into 1 1.668 * [backup-simplify]: Simplify (sqrt 1) into 1 1.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.670 * [backup-simplify]: Simplify (+ 0 0) into 0 1.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (pow (hypot (/ -1 x) (/ -1 y)) 2)) in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.670 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.670 * [taylor]: Taking taylor expansion of z in x 1.670 * [backup-simplify]: Simplify z into z 1.670 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.670 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.670 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.670 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.671 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.671 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.671 * [taylor]: Taking taylor expansion of -1 in x 1.671 * [backup-simplify]: Simplify -1 into -1 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (/ -1 1) into -1 1.671 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.671 * [taylor]: Taking taylor expansion of -1 in x 1.671 * [backup-simplify]: Simplify -1 into -1 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (/ -1 1) into -1 1.671 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.671 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.671 * [taylor]: Taking taylor expansion of -1 in x 1.671 * [backup-simplify]: Simplify -1 into -1 1.671 * [taylor]: Taking taylor expansion of y in x 1.671 * [backup-simplify]: Simplify y into y 1.671 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.671 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.672 * [taylor]: Taking taylor expansion of -1 in x 1.672 * [backup-simplify]: Simplify -1 into -1 1.672 * [taylor]: Taking taylor expansion of y in x 1.672 * [backup-simplify]: Simplify y into y 1.672 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.672 * [backup-simplify]: Simplify (* -1 -1) into 1 1.672 * [backup-simplify]: Simplify (+ 1 0) into 1 1.672 * [backup-simplify]: Simplify (sqrt 1) into 1 1.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.674 * [backup-simplify]: Simplify (* 1 1) into 1 1.675 * [backup-simplify]: Simplify (+ 0 1) into 1 1.675 * [taylor]: Taking taylor expansion of 1 in y 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (+ 0 0) into 0 1.675 * [taylor]: Taking taylor expansion of 0 in y 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.677 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.677 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.678 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.678 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.679 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.679 * [taylor]: Taking taylor expansion of z in y 1.679 * [backup-simplify]: Simplify z into z 1.679 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.679 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.679 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.679 * [taylor]: Taking taylor expansion of y in y 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify (+ 0 1) into 1 1.680 * [taylor]: Taking taylor expansion of 1 in z 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [taylor]: Taking taylor expansion of 1 in z 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.682 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in y 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [taylor]: Taking taylor expansion of 0 in z 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [taylor]: Taking taylor expansion of 0 in z 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [taylor]: Taking taylor expansion of 0 in z 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.688 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.690 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.690 * [taylor]: Taking taylor expansion of 0 in y 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.692 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.692 * [taylor]: Taking taylor expansion of z in z 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [taylor]: Taking taylor expansion of 0 in z 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [taylor]: Taking taylor expansion of 0 in z 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1.693 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 1.693 * [backup-simplify]: Simplify (* (hypot x y) (hypot x y)) into (pow (hypot x y) 2) 1.693 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0 1.693 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 1.694 * [taylor]: Taking taylor expansion of (hypot x y) in y 1.694 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.694 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 1.694 * [taylor]: Taking taylor expansion of (* x x) in y 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [backup-simplify]: Simplify x into x 1.694 * [taylor]: Taking taylor expansion of x in y 1.694 * [backup-simplify]: Simplify x into x 1.694 * [taylor]: Taking taylor expansion of (* y y) in y 1.694 * [taylor]: Taking taylor expansion of y in y 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [taylor]: Taking taylor expansion of y in y 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 1 into 1 1.694 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.694 * [backup-simplify]: Simplify (* 0 0) into 0 1.694 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.694 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.694 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.695 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.695 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.695 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.695 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.695 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.695 * [taylor]: Taking taylor expansion of (* x x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [taylor]: Taking taylor expansion of x in x 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [taylor]: Taking taylor expansion of (* y y) in x 1.695 * [taylor]: Taking taylor expansion of y in x 1.695 * [backup-simplify]: Simplify y into y 1.695 * [taylor]: Taking taylor expansion of y in x 1.695 * [backup-simplify]: Simplify y into y 1.696 * [backup-simplify]: Simplify (* 0 0) into 0 1.696 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.696 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.696 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.696 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.696 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.697 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 1.697 * [taylor]: Taking taylor expansion of (hypot x y) in x 1.697 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 1.697 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 1.697 * [taylor]: Taking taylor expansion of (* x x) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [taylor]: Taking taylor expansion of x in x 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [taylor]: Taking taylor expansion of (* y y) in x 1.697 * [taylor]: Taking taylor expansion of y in x 1.697 * [backup-simplify]: Simplify y into y 1.697 * [taylor]: Taking taylor expansion of y in x 1.697 * [backup-simplify]: Simplify y into y 1.697 * [backup-simplify]: Simplify (* 0 0) into 0 1.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.698 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.698 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.698 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.698 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.699 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.699 * [taylor]: Taking taylor expansion of y in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.699 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.700 * [backup-simplify]: Simplify (+ 1 0) into 1 1.700 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.700 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1 1.700 * [taylor]: Taking taylor expansion of 1 in y 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify (* 1 1) into 1 1.704 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.705 * [backup-simplify]: Simplify (+ 0 0) into 0 1.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (/ 1/2 y)) (+ (* (/ 1/2 y) 0) (* 0 y)))) into 0 1.706 * [taylor]: Taking taylor expansion of 0 in y 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 y)) into (/ -1/8 (pow y 3)) 1.709 * [backup-simplify]: Simplify (+ (* y (/ -1/8 (pow y 3))) (+ (* 0 0) (+ (* (/ 1/2 y) (/ 1/2 y)) (+ (* 0 0) (* (/ -1/8 (pow y 3)) y))))) into 0 1.709 * [taylor]: Taking taylor expansion of 0 in y 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.710 * [backup-simplify]: Simplify (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) into (pow (hypot (/ 1 x) (/ 1 y)) 2) 1.710 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0 1.710 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 1.710 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 1.710 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.710 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 1.710 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.710 * [taylor]: Taking taylor expansion of x in y 1.710 * [backup-simplify]: Simplify x into x 1.710 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.710 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.710 * [taylor]: Taking taylor expansion of x in y 1.710 * [backup-simplify]: Simplify x into x 1.710 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.710 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 1.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.710 * [taylor]: Taking taylor expansion of y in y 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.711 * [taylor]: Taking taylor expansion of y in y 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.711 * [backup-simplify]: Simplify (* 1 1) into 1 1.711 * [backup-simplify]: Simplify (+ 0 1) into 1 1.712 * [backup-simplify]: Simplify (sqrt 1) into 1 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.714 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.714 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.714 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.714 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.714 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (/ 1 1) into 1 1.714 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [backup-simplify]: Simplify y into y 1.715 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.715 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.715 * [taylor]: Taking taylor expansion of y in x 1.715 * [backup-simplify]: Simplify y into y 1.715 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.715 * [backup-simplify]: Simplify (* 1 1) into 1 1.715 * [backup-simplify]: Simplify (+ 1 0) into 1 1.715 * [backup-simplify]: Simplify (sqrt 1) into 1 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.717 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 1.717 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 1.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 1.717 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 1.717 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.718 * [backup-simplify]: Simplify y into y 1.718 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.718 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.718 * [taylor]: Taking taylor expansion of y in x 1.718 * [backup-simplify]: Simplify y into y 1.718 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.718 * [backup-simplify]: Simplify (* 1 1) into 1 1.719 * [backup-simplify]: Simplify (+ 1 0) into 1 1.719 * [backup-simplify]: Simplify (sqrt 1) into 1 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.720 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.721 * [backup-simplify]: Simplify (* 1 1) into 1 1.721 * [taylor]: Taking taylor expansion of 1 in y 1.721 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.721 * [taylor]: Taking taylor expansion of 0 in y 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.723 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2)) 1.723 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.724 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.724 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.725 * [taylor]: Taking taylor expansion of y in y 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.727 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in y 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.731 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.734 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.734 * [taylor]: Taking taylor expansion of 0 in y 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.735 * [backup-simplify]: Simplify (* (hypot (/ 1 (- x)) (/ 1 (- y))) (hypot (/ 1 (- x)) (/ 1 (- y)))) into (pow (hypot (/ -1 x) (/ -1 y)) 2) 1.735 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 1.735 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 1.735 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 1.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.735 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 1.735 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 1.735 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.735 * [taylor]: Taking taylor expansion of -1 in y 1.735 * [backup-simplify]: Simplify -1 into -1 1.735 * [taylor]: Taking taylor expansion of x in y 1.735 * [backup-simplify]: Simplify x into x 1.736 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.736 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.736 * [taylor]: Taking taylor expansion of -1 in y 1.736 * [backup-simplify]: Simplify -1 into -1 1.736 * [taylor]: Taking taylor expansion of x in y 1.736 * [backup-simplify]: Simplify x into x 1.736 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 1.736 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 1.736 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.736 * [taylor]: Taking taylor expansion of -1 in y 1.736 * [backup-simplify]: Simplify -1 into -1 1.736 * [taylor]: Taking taylor expansion of y in y 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (/ -1 1) into -1 1.736 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.736 * [taylor]: Taking taylor expansion of -1 in y 1.736 * [backup-simplify]: Simplify -1 into -1 1.736 * [taylor]: Taking taylor expansion of y in y 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ -1 1) into -1 1.737 * [backup-simplify]: Simplify (* -1 -1) into 1 1.737 * [backup-simplify]: Simplify (+ 0 1) into 1 1.737 * [backup-simplify]: Simplify (sqrt 1) into 1 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.739 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.739 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.739 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.739 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.739 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.739 * [taylor]: Taking taylor expansion of -1 in x 1.739 * [backup-simplify]: Simplify -1 into -1 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ -1 1) into -1 1.740 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.740 * [taylor]: Taking taylor expansion of -1 in x 1.740 * [backup-simplify]: Simplify -1 into -1 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (/ -1 1) into -1 1.740 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.740 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.740 * [taylor]: Taking taylor expansion of -1 in x 1.740 * [backup-simplify]: Simplify -1 into -1 1.740 * [taylor]: Taking taylor expansion of y in x 1.740 * [backup-simplify]: Simplify y into y 1.740 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.740 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.740 * [taylor]: Taking taylor expansion of -1 in x 1.740 * [backup-simplify]: Simplify -1 into -1 1.740 * [taylor]: Taking taylor expansion of y in x 1.740 * [backup-simplify]: Simplify y into y 1.740 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.741 * [backup-simplify]: Simplify (* -1 -1) into 1 1.741 * [backup-simplify]: Simplify (+ 1 0) into 1 1.741 * [backup-simplify]: Simplify (sqrt 1) into 1 1.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.743 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 1.743 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 1.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 1.743 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 1.743 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.743 * [taylor]: Taking taylor expansion of -1 in x 1.743 * [backup-simplify]: Simplify -1 into -1 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ -1 1) into -1 1.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [backup-simplify]: Simplify -1 into -1 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ -1 1) into -1 1.744 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 1.744 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [backup-simplify]: Simplify -1 into -1 1.744 * [taylor]: Taking taylor expansion of y in x 1.744 * [backup-simplify]: Simplify y into y 1.744 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.744 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [backup-simplify]: Simplify -1 into -1 1.744 * [taylor]: Taking taylor expansion of y in x 1.744 * [backup-simplify]: Simplify y into y 1.744 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.745 * [backup-simplify]: Simplify (* -1 -1) into 1 1.745 * [backup-simplify]: Simplify (+ 1 0) into 1 1.745 * [backup-simplify]: Simplify (sqrt 1) into 1 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.747 * [backup-simplify]: Simplify (* 1 1) into 1 1.747 * [taylor]: Taking taylor expansion of 1 in y 1.747 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.748 * [taylor]: Taking taylor expansion of 0 in y 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.749 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2)) 1.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.750 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.751 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2)) 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.751 * [taylor]: Taking taylor expansion of y in y 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* 1 1) into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.753 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0 1.755 * [taylor]: Taking taylor expansion of 0 in y 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4)) 1.760 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0 1.760 * [taylor]: Taking taylor expansion of 0 in y 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.762 * * * [progress]: simplifying candidates 1.762 * [simplify]: Simplifying: (expm1 (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (log1p (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (log (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (exp (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (* (cbrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (cbrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))))) (cbrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (* (* (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (sqrt (* (cbrt (+ (* (hypot x y) (hypot x y)) (* z z))) (cbrt (+ (* (hypot x y) (hypot x y)) (* z z))))) (sqrt (cbrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (sqrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (sqrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (sqrt 1) (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) (sqrt (+ (pow (* (hypot x y) (hypot x y)) 3) (pow (* z z) 3))) (sqrt (+ (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (- (* (* z z) (* z z)) (* (* (hypot x y) (hypot x y)) (* z z))))) (sqrt (- (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (* z z) (* z z)))) (sqrt (- (* (hypot x y) (hypot x y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (sqrt (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (expm1 (+ (* (hypot x y) (hypot x y)) (* z z))) (log1p (+ (* (hypot x y) (hypot x y)) (* z z))) (* (exp (* (hypot x y) (hypot x y))) (exp (* z z))) (log (+ (* (hypot x y) (hypot x y)) (* z z))) (exp (+ (* (hypot x y) (hypot x y)) (* z z))) (* (cbrt (+ (* (hypot x y) (hypot x y)) (* z z))) (cbrt (+ (* (hypot x y) (hypot x y)) (* z z)))) (cbrt (+ (* (hypot x y) (hypot x y)) (* z z))) (* (* (+ (* (hypot x y) (hypot x y)) (* z z)) (+ (* (hypot x y) (hypot x y)) (* z z))) (+ (* (hypot x y) (hypot x y)) (* z z))) (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))) (+ (pow (* (hypot x y) (hypot x y)) 3) (pow (* z z) 3)) (+ (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (- (* (* z z) (* z z)) (* (* (hypot x y) (hypot x y)) (* z z)))) (- (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (* z z) (* z z))) (- (* (hypot x y) (hypot x y)) (* z z)) (expm1 (* (hypot x y) (hypot x y))) (log1p (* (hypot x y) (hypot x y))) (+ 1 1) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (hypot x y)) (log (hypot x y))) (log (* (hypot x y) (hypot x y))) (exp (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y)))) (cbrt (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (hypot x y) (hypot x y))) (sqrt (* (hypot x y) (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 1 1) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 2 1) (* (hypot x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (hypot x y) (sqrt (hypot x y))) (* (hypot x y) 1) (* (cbrt (hypot x y)) (hypot x y)) (* (sqrt (hypot x y)) (hypot x y)) (* (hypot x y) (hypot x y)) z x (* -1 x) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (+ (pow y 2) (pow z 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.763 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (log1p (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (log (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (exp (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (* (cbrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (cbrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))))) (cbrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (* (* (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (sqrt (* (cbrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (cbrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))))) (sqrt (cbrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (sqrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (sqrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (sqrt 1) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (sqrt (+ (pow (* (hypot h0 h1) (hypot h0 h1)) 3) (pow (* h2 h2) 3))) (sqrt (+ (* (* (hypot h0 h1) (hypot h0 h1)) (* (hypot h0 h1) (hypot h0 h1))) (- (* (* h2 h2) (* h2 h2)) (* (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))))) (sqrt (- (* (* (hypot h0 h1) (hypot h0 h1)) (* (hypot h0 h1) (hypot h0 h1))) (* (* h2 h2) (* h2 h2)))) (sqrt (- (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (/ 1 2) (sqrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (sqrt (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (expm1 (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (log1p (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (* (exp (* (hypot h0 h1) (hypot h0 h1))) (exp (* h2 h2))) (log (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (exp (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (* (cbrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (cbrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (cbrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (* (* (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)) (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (sqrt (+ (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2))) (+ (pow (* (hypot h0 h1) (hypot h0 h1)) 3) (pow (* h2 h2) 3)) (+ (* (* (hypot h0 h1) (hypot h0 h1)) (* (hypot h0 h1) (hypot h0 h1))) (- (* (* h2 h2) (* h2 h2)) (* (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)))) (- (* (* (hypot h0 h1) (hypot h0 h1)) (* (hypot h0 h1) (hypot h0 h1))) (* (* h2 h2) (* h2 h2))) (- (* (hypot h0 h1) (hypot h0 h1)) (* h2 h2)) (expm1 (* (hypot h0 h1) (hypot h0 h1))) (log1p (* (hypot h0 h1) (hypot h0 h1))) (+ 1 1) (* (hypot h0 h1) (hypot h0 h1)) (+ 1 1) (+ (log (hypot h0 h1)) (log (hypot h0 h1))) (log (* (hypot h0 h1) (hypot h0 h1))) (exp (* (hypot h0 h1) (hypot h0 h1))) (* (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1)) (* (* (hypot h0 h1) (hypot h0 h1)) (hypot h0 h1))) (* (cbrt (* (hypot h0 h1) (hypot h0 h1))) (cbrt (* (hypot h0 h1) (hypot h0 h1)))) (cbrt (* (hypot h0 h1) (hypot h0 h1))) (* (* (* (hypot h0 h1) (hypot h0 h1)) (* (hypot h0 h1) (hypot h0 h1))) (* (hypot h0 h1) (hypot h0 h1))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (sqrt (* (hypot h0 h1) (hypot h0 h1))) (sqrt (* (hypot h0 h1) (hypot h0 h1))) (* (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* 1 1) (* (hypot h0 h1) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* (sqrt (hypot h0 h1)) (sqrt (hypot h0 h1))) (* 2 1) (* (hypot h0 h1) (* (cbrt (hypot h0 h1)) (cbrt (hypot h0 h1)))) (* (hypot h0 h1) (sqrt (hypot h0 h1))) (* (hypot h0 h1) 1) (* (cbrt (hypot h0 h1)) (hypot h0 h1)) (* (sqrt (hypot h0 h1)) (hypot h0 h1)) (* (hypot h0 h1) (hypot h0 h1)) h2 h0 (* -1 h0) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (+ (pow h1 2) (pow h2 2))) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 1.767 * * [simplify]: iteration 0 : 197 enodes (cost 373 ) 1.773 * * [simplify]: iteration 1 : 823 enodes (cost 333 ) 1.791 * * [simplify]: iteration 2 : 3442 enodes (cost 318 ) 1.880 * * [simplify]: iteration 3 : 5001 enodes (cost 317 ) 1.883 * * * [progress]: adding candidates to table 2.051 * [progress]: [Phase 3 of 3] Extracting. 2.051 * * [regime]: Finding splitpoints for: (# #) 2.051 * * * [regime-changes]: Trying 4 branch expressions: ((* z z) z y x) 2.051 * * * * [regimes]: Trying to branch on (* z z) from (# #) 2.064 * * * * [regimes]: Trying to branch on z from (# #) 2.077 * * * * [regimes]: Trying to branch on y from (# #) 2.093 * * * * [regimes]: Trying to branch on x from (# #) 2.106 * * * [regime]: Found split indices: #