19.469 * [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. 0.019 * [simplify]: Simplifying: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.019 * [simplify]: Sending expressions to egg_math: (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) 0.021 * * [simplify]: iteration 0 : 15 enodes (cost 7 ) 0.022 * * [simplify]: iteration 1 : 22 enodes (cost 7 ) 0.024 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.025 * * [simplify]: iteration 3 : 24 enodes (cost 7 ) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.142 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) 0.142 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.142 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.142 * [taylor]: Taking taylor expansion of x in z 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.142 * [taylor]: Taking taylor expansion of y in z 0.142 * [backup-simplify]: Simplify y into y 0.142 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.142 * [taylor]: Taking taylor expansion of z in z 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.142 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.142 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.142 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.142 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.142 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.142 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.143 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.143 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.144 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.144 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.144 * [taylor]: Taking taylor expansion of z in y 0.144 * [backup-simplify]: Simplify z into z 0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.144 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.145 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.145 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.145 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.145 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.145 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.146 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.146 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.146 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.146 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.146 * [taylor]: Taking taylor expansion of z in x 0.146 * [backup-simplify]: Simplify z into z 0.146 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.146 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.147 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.147 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.147 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.147 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.147 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.148 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.148 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.148 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.148 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.148 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [backup-simplify]: Simplify y into y 0.149 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.149 * [taylor]: Taking taylor expansion of z in x 0.149 * [backup-simplify]: Simplify z into z 0.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.149 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.149 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.149 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.149 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.149 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.152 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.152 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.152 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.152 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.153 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) 0.153 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.153 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 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) 0.153 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.153 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.153 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.154 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.154 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.154 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.154 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.155 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333)) 0.155 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.155 * [taylor]: Taking taylor expansion of z in z 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.155 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.155 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.155 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.156 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in y 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 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in z 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333) 0.158 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.159 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.160 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [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))))) 0.161 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) 0.161 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y 0.161 * [taylor]: Taking taylor expansion of 1/2 in y 0.161 * [backup-simplify]: Simplify 1/2 into 1/2 0.161 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.162 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.162 * [taylor]: Taking taylor expansion of z in y 0.162 * [backup-simplify]: Simplify z into z 0.162 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.162 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.162 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.162 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.163 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.163 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.163 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.163 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.163 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z) 0.164 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z)) 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.164 * [taylor]: Taking taylor expansion of 1/2 in z 0.164 * [backup-simplify]: Simplify 1/2 into 1/2 0.164 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.164 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.164 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.164 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.164 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.165 * [taylor]: Taking taylor expansion of z in z 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [taylor]: Taking taylor expansion of 0 in z 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.168 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z)) 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.168 * [taylor]: Taking taylor expansion of 1/2 in z 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.168 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.169 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.169 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.169 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.169 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.169 * [taylor]: Taking taylor expansion of z in z 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333)) 0.173 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0)) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) 0.173 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.173 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.173 * [taylor]: Taking taylor expansion of x in z 0.173 * [backup-simplify]: Simplify x into x 0.173 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.173 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.173 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.173 * [taylor]: Taking taylor expansion of z in z 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.174 * [taylor]: Taking taylor expansion of y in z 0.174 * [backup-simplify]: Simplify y into y 0.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.176 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.177 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.177 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [backup-simplify]: Simplify x into x 0.177 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.177 * [taylor]: Taking taylor expansion of z in y 0.177 * [backup-simplify]: Simplify z into z 0.177 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (+ 0 1) into 1 0.179 * [backup-simplify]: Simplify (sqrt 1) into 1 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.180 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.180 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.180 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.180 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.182 * [taylor]: Taking taylor expansion of z in x 0.182 * [backup-simplify]: Simplify z into z 0.182 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.184 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.184 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.184 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.184 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.184 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.185 * [taylor]: Taking taylor expansion of z in x 0.185 * [backup-simplify]: Simplify z into z 0.185 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.185 * [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 (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 (* 2 (sqrt 1))) into 0 0.187 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.187 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.187 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.188 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.189 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333) 0.189 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.189 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.189 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.189 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.190 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.190 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.190 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.191 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.192 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.193 * [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)))) 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) 0.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.194 * [taylor]: Taking taylor expansion of 1/2 in y 0.194 * [backup-simplify]: Simplify 1/2 into 1/2 0.194 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.194 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.194 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.194 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.195 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.195 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.195 * [taylor]: Taking taylor expansion of z in y 0.195 * [backup-simplify]: Simplify z into z 0.195 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.195 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.195 * [taylor]: Taking taylor expansion of 1/2 in y 0.195 * [backup-simplify]: Simplify 1/2 into 1/2 0.195 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.196 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.196 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.196 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [taylor]: Taking taylor expansion of 0 in z 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.206 * [taylor]: Taking taylor expansion of 1/2 in z 0.206 * [backup-simplify]: Simplify 1/2 into 1/2 0.206 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.206 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.206 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.206 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.206 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.207 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.207 * [taylor]: Taking taylor expansion of z in z 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.209 * [taylor]: Taking taylor expansion of 0 in z 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.212 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [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 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) 0.216 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.216 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.216 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.216 * [taylor]: Taking taylor expansion of 1/8 in y 0.216 * [backup-simplify]: Simplify 1/8 into 1/8 0.216 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.216 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.216 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.216 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.216 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.216 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.217 * [taylor]: Taking taylor expansion of z in y 0.217 * [backup-simplify]: Simplify z into z 0.217 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.217 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.217 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4)) 0.217 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.217 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) 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 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.217 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.217 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.217 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.217 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.218 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.218 * [taylor]: Taking taylor expansion of z in y 0.218 * [backup-simplify]: Simplify z into z 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.219 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.219 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.219 * [taylor]: Taking taylor expansion of 1/8 in y 0.219 * [backup-simplify]: Simplify 1/8 into 1/8 0.219 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.219 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.219 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.219 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.219 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.219 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.221 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.221 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.223 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.231 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in z 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333)) 0.237 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0)) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) 0.237 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.237 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.237 * [taylor]: Taking taylor expansion of x in z 0.237 * [backup-simplify]: Simplify x into x 0.237 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.237 * [taylor]: Taking taylor expansion of z in z 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.238 * [taylor]: Taking taylor expansion of y in z 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.240 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.240 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.240 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.240 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.243 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.243 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.244 * [taylor]: Taking taylor expansion of z in y 0.244 * [backup-simplify]: Simplify z into z 0.244 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 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 (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.247 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.247 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.248 * [taylor]: Taking taylor expansion of z in x 0.248 * [backup-simplify]: Simplify z into z 0.248 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.249 * [backup-simplify]: Simplify (sqrt 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.250 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.250 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.250 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.251 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 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 0.251 * [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 z 2)) (/ 1 (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.251 * [taylor]: Taking taylor expansion of z in x 0.251 * [backup-simplify]: Simplify z into z 0.251 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.251 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (sqrt 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.253 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.253 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.253 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.253 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.254 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333) 0.254 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.254 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.254 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.255 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.256 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.256 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.256 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.258 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.259 * [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)))) 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) 0.260 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.260 * [taylor]: Taking taylor expansion of 1/2 in y 0.260 * [backup-simplify]: Simplify 1/2 into 1/2 0.260 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.260 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.260 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.260 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.260 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.261 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.261 * [taylor]: Taking taylor expansion of z in y 0.261 * [backup-simplify]: Simplify z into z 0.261 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.261 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of 1/2 in y 0.261 * [backup-simplify]: Simplify 1/2 into 1/2 0.261 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.261 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.261 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in z 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.269 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.271 * [taylor]: Taking taylor expansion of 1/2 in z 0.271 * [backup-simplify]: Simplify 1/2 into 1/2 0.271 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.271 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.271 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.271 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.272 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.272 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.272 * [taylor]: Taking taylor expansion of z in z 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [taylor]: Taking taylor expansion of 0 in z 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in z 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.278 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [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)))))) 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) 0.281 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.281 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.281 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.281 * [taylor]: Taking taylor expansion of 1/8 in y 0.281 * [backup-simplify]: Simplify 1/8 into 1/8 0.281 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.281 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.281 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.282 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.282 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.282 * [taylor]: Taking taylor expansion of z in y 0.282 * [backup-simplify]: Simplify z into z 0.282 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.282 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.282 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4)) 0.282 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.282 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.283 * [taylor]: Taking taylor expansion of 1/4 in y 0.283 * [backup-simplify]: Simplify 1/4 into 1/4 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.283 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.283 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.283 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.283 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.283 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.283 * [taylor]: Taking taylor expansion of z in y 0.283 * [backup-simplify]: Simplify z into z 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.284 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.284 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.284 * [taylor]: Taking taylor expansion of 1/8 in y 0.284 * [backup-simplify]: Simplify 1/8 into 1/8 0.284 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.284 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.284 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.284 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.284 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.285 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.286 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [taylor]: Taking taylor expansion of 0 in z 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [taylor]: Taking taylor expansion of 0 in z 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.295 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [taylor]: Taking taylor expansion of 0 in z 0.298 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.299 * [taylor]: Taking taylor expansion of 0 in z 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333))) 0.301 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.301 * [backup-simplify]: Simplify (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) into (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.302 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.302 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.302 * [taylor]: Taking taylor expansion of x in z 0.302 * [backup-simplify]: Simplify x into x 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.302 * [taylor]: Taking taylor expansion of y in z 0.302 * [backup-simplify]: Simplify y into y 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.302 * [taylor]: Taking taylor expansion of z in z 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.302 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [backup-simplify]: Simplify x into x 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.302 * [taylor]: Taking taylor expansion of z in y 0.302 * [backup-simplify]: Simplify z into z 0.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.302 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.302 * [taylor]: Taking taylor expansion of z in x 0.302 * [backup-simplify]: Simplify z into z 0.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.302 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.302 * [taylor]: Taking taylor expansion of z in x 0.302 * [backup-simplify]: Simplify z into z 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.303 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.303 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.303 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.303 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.303 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.303 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.303 * [taylor]: Taking taylor expansion of z in y 0.303 * [backup-simplify]: Simplify z into z 0.303 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.303 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.303 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2)) 0.303 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z 0.303 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.303 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.303 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.303 * [taylor]: Taking taylor expansion of z in z 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.304 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [taylor]: Taking taylor expansion of 0 in z 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in z 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.306 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.307 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333 0.307 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.307 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.307 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.307 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.307 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.307 * [taylor]: Taking taylor expansion of 0 in z 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333 0.308 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.308 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.308 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.309 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.309 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* y 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 x)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.310 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.310 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.310 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.310 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.310 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.310 * [taylor]: Taking taylor expansion of x in z 0.310 * [backup-simplify]: Simplify x into x 0.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.310 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.310 * [taylor]: Taking taylor expansion of z in z 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.310 * [taylor]: Taking taylor expansion of y in z 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.311 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.311 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.311 * [taylor]: Taking taylor expansion of z in y 0.311 * [backup-simplify]: Simplify z into z 0.311 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.312 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.312 * [taylor]: Taking taylor expansion of z in x 0.312 * [backup-simplify]: Simplify z into z 0.312 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.312 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.312 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.312 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.313 * [taylor]: Taking taylor expansion of z in x 0.313 * [backup-simplify]: Simplify z into z 0.313 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.313 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.314 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.317 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.317 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) 0.317 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.317 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.317 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.317 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.317 * [taylor]: Taking taylor expansion of z in y 0.317 * [backup-simplify]: Simplify z into z 0.317 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.317 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.318 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.318 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.319 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.319 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.319 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [taylor]: Taking taylor expansion of 0 in z 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2)) 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow z 2)) 0) into (* 0.3333333333333333 (/ 1 (pow z 2))) 0.328 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.328 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.328 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.328 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.328 * [taylor]: Taking taylor expansion of z in z 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.329 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.329 * [taylor]: Taking taylor expansion of 0 in z 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [taylor]: Taking taylor expansion of 0 in z 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.329 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.330 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.330 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) 0.330 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.330 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.330 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.330 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.330 * [taylor]: Taking taylor expansion of x in z 0.330 * [backup-simplify]: Simplify x into x 0.330 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.330 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.330 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.330 * [taylor]: Taking taylor expansion of z in z 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.333 * [taylor]: Taking taylor expansion of y in z 0.333 * [backup-simplify]: Simplify y into y 0.333 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.333 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.333 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.333 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.333 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [backup-simplify]: Simplify x into x 0.334 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.334 * [taylor]: Taking taylor expansion of z in y 0.334 * [backup-simplify]: Simplify z into z 0.334 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.334 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.334 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.335 * [taylor]: Taking taylor expansion of z in x 0.335 * [backup-simplify]: Simplify z into z 0.335 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.335 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.335 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.335 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.336 * [taylor]: Taking taylor expansion of z in x 0.336 * [backup-simplify]: Simplify z into z 0.336 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [backup-simplify]: Simplify y into y 0.336 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.337 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.337 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.340 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.340 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) 0.340 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow z 2))) (* 0.3333333333333333 (/ 1 (pow y 2)))) in y 0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y 0.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.340 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.340 * [taylor]: Taking taylor expansion of z in y 0.340 * [backup-simplify]: Simplify z into z 0.340 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.340 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.340 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.340 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.341 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 0.341 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.341 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.342 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.342 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.343 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in z 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [taylor]: Taking taylor expansion of 0 in z 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [taylor]: Taking taylor expansion of 0 in z 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.347 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))))) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2)) 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (+ (/ 0.3333333333333333 (pow z 2)) 0) into (* 0.3333333333333333 (/ 1 (pow z 2))) 0.351 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z 0.351 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.351 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.351 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.351 * [taylor]: Taking taylor expansion of z in z 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 0.352 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.352 * [taylor]: Taking taylor expansion of 0 in z 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [taylor]: Taking taylor expansion of 0 in z 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.352 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.352 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.352 * * * [progress]: simplifying candidates 0.353 * [simplify]: Simplifying: (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) 0.354 * [simplify]: Sending expressions to egg_math: (log (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (exp (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (* (cbrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (cbrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)))) (cbrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (* (* (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (sqrt (* (cbrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (cbrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)))) (sqrt (cbrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (sqrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (sqrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (sqrt (/ (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (cbrt h3) (cbrt h3)))) (sqrt (/ (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt h3))) (sqrt (/ (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt h3))) (sqrt (/ (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (sqrt (/ (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) 1)) (sqrt (/ (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) h3)) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (cbrt h3) (cbrt h3)))) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt h3))) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 1)) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) h3)) (sqrt (/ 1 (* (cbrt h3) (cbrt h3)))) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (cbrt h3))) (sqrt (/ 1 (sqrt h3))) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (sqrt h3))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (sqrt 1) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3)) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (sqrt (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (- (log (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (log h3)) (log (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (exp (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (/ (* (* (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (* h3 h3) h3)) (* (cbrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (cbrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3))) (cbrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (* (* (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (sqrt (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3)) (- (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (- h3) (/ (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (cbrt h3) (cbrt h3))) (/ (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt h3)) (/ (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt h3)) (/ (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)) (/ (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) 1) (/ (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) h3) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (cbrt h3) (cbrt h3))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt h3)) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 1) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) h3) (/ 1 (* (cbrt h3) (cbrt h3))) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (cbrt h3)) (/ 1 (sqrt h3)) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (sqrt h3)) (/ 1 1) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3) (/ 1 h3) (/ h3 (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (* (cbrt h3) (cbrt h3))) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (sqrt h3)) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) 1) (/ h3 (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (/ h3 (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (/ h3 (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* h3 (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (* h3 (- (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* h2 (sqrt h4)) (* h0 (sqrt h4)) (* -1 (* h0 (sqrt h4))) (+ (* h4 (pow h0 2)) (+ (* h4 (pow h1 2)) (* h4 (pow h2 2)))) (+ (* h4 (pow h0 2)) (+ (* h4 (pow h1 2)) (* h4 (pow h2 2)))) (+ (* h4 (pow h0 2)) (+ (* h4 (pow h1 2)) (* h4 (pow h2 2)))) 0.358 * * [simplify]: iteration 0 : 214 enodes (cost 630 ) 0.362 * * [simplify]: iteration 1 : 835 enodes (cost 578 ) 0.375 * * [simplify]: iteration 2 : 3408 enodes (cost 576 ) 0.440 * * [simplify]: iteration 3 : 5001 enodes (cost 574 ) 0.442 * * * [progress]: adding candidates to table 0.587 * * [progress]: iteration 2 / 4 0.588 * * * [progress]: picking best candidate 0.595 * * * * [pick]: Picked # 0.595 * * * [progress]: localizing error 0.606 * * * [progress]: generating rewritten candidates 0.606 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.636 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.725 * * * [progress]: generating series expansions 0.725 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.725 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 0.725 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.725 * [taylor]: Taking taylor expansion of x in z 0.726 * [backup-simplify]: Simplify x into x 0.726 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.726 * [taylor]: Taking taylor expansion of y in z 0.726 * [backup-simplify]: Simplify y into y 0.726 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.726 * [taylor]: Taking taylor expansion of z in z 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.726 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.726 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.726 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.726 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.726 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.726 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.727 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.727 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [backup-simplify]: Simplify x into x 0.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.727 * [taylor]: Taking taylor expansion of z in y 0.727 * [backup-simplify]: Simplify z into z 0.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.727 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.727 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.728 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.728 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.728 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.728 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.729 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [backup-simplify]: Simplify y into y 0.729 * [taylor]: Taking taylor expansion of (pow z 2) 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 (* y y) into (pow y 2) 0.729 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.729 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.729 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.729 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.729 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.729 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.730 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.730 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.730 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [backup-simplify]: Simplify y into y 0.730 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.730 * [taylor]: Taking taylor expansion of z in x 0.730 * [backup-simplify]: Simplify z into z 0.730 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.730 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.730 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.730 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.731 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.731 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.731 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.731 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.731 * [taylor]: Taking taylor expansion of z in y 0.732 * [backup-simplify]: Simplify z into z 0.732 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.732 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.732 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.732 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.732 * [taylor]: Taking taylor expansion of z in z 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [taylor]: Taking taylor expansion of 0 in z 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [taylor]: Taking taylor expansion of 0 in z 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.733 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (+ 1 0) into 1 0.734 * [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))))) 0.734 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 0.734 * [taylor]: Taking taylor expansion of 1/2 in y 0.734 * [backup-simplify]: Simplify 1/2 into 1/2 0.734 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.734 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.734 * [taylor]: Taking taylor expansion of z in y 0.734 * [backup-simplify]: Simplify z into z 0.734 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.734 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.735 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.735 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.735 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.735 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 0.735 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.735 * [taylor]: Taking taylor expansion of 1/2 in z 0.735 * [backup-simplify]: Simplify 1/2 into 1/2 0.735 * [taylor]: Taking taylor expansion of z in z 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [taylor]: Taking taylor expansion of 0 in z 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.737 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.737 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 0.737 * [taylor]: Taking taylor expansion of 1/2 in z 0.737 * [backup-simplify]: Simplify 1/2 into 1/2 0.737 * [taylor]: Taking taylor expansion of z in z 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 0.739 * [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))))) 0.739 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.739 * [taylor]: Taking taylor expansion of x in z 0.739 * [backup-simplify]: Simplify x into x 0.739 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.739 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.739 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.739 * [taylor]: Taking taylor expansion of z in z 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.740 * [taylor]: Taking taylor expansion of y in z 0.740 * [backup-simplify]: Simplify y into y 0.740 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.740 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.740 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (+ 0 1) into 1 0.740 * [backup-simplify]: Simplify (sqrt 1) into 1 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [backup-simplify]: Simplify x into x 0.742 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.742 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.743 * [taylor]: Taking taylor expansion of z in y 0.743 * [backup-simplify]: Simplify z into z 0.743 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.743 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.743 * [backup-simplify]: Simplify (/ 1 1) into 1 0.743 * [backup-simplify]: Simplify (+ 0 1) into 1 0.744 * [backup-simplify]: Simplify (+ 0 1) into 1 0.744 * [backup-simplify]: Simplify (sqrt 1) into 1 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.745 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (* 1 1) into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.746 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.746 * [taylor]: Taking taylor expansion of z in x 0.746 * [backup-simplify]: Simplify z into z 0.746 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.746 * [taylor]: Taking taylor expansion of y in x 0.746 * [backup-simplify]: Simplify y into y 0.746 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.747 * [backup-simplify]: Simplify (+ 1 0) into 1 0.747 * [backup-simplify]: Simplify (sqrt 1) into 1 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (* 1 1) into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.749 * [taylor]: Taking taylor expansion of z in x 0.749 * [backup-simplify]: Simplify z into z 0.749 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.749 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [backup-simplify]: Simplify y into y 0.749 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.749 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.749 * [backup-simplify]: Simplify (+ 1 0) into 1 0.750 * [backup-simplify]: Simplify (sqrt 1) into 1 0.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.751 * [taylor]: Taking taylor expansion of 1 in y 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [taylor]: Taking taylor expansion of 1 in z 0.751 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.752 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.753 * [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)))) 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.753 * [taylor]: Taking taylor expansion of 1/2 in y 0.753 * [backup-simplify]: Simplify 1/2 into 1/2 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.753 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.753 * [taylor]: Taking taylor expansion of z in y 0.753 * [backup-simplify]: Simplify z into z 0.753 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.754 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (+ 0 1) into 1 0.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.756 * [taylor]: Taking taylor expansion of 0 in z 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [taylor]: Taking taylor expansion of 0 in z 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [taylor]: Taking taylor expansion of 0 in z 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.757 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.763 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.763 * [taylor]: Taking taylor expansion of 1/2 in z 0.763 * [backup-simplify]: Simplify 1/2 into 1/2 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.763 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.763 * [taylor]: Taking taylor expansion of z in z 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* 1 1) into 1 0.763 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in z 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [taylor]: Taking taylor expansion of 0 in z 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.767 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [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)))))) 0.768 * [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 0.768 * [taylor]: Taking taylor expansion of -1/2 in y 0.768 * [backup-simplify]: Simplify -1/2 into -1/2 0.768 * [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 0.768 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.768 * [taylor]: Taking taylor expansion of 1/4 in y 0.768 * [backup-simplify]: Simplify 1/4 into 1/4 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.768 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.768 * [taylor]: Taking taylor expansion of z in y 0.768 * [backup-simplify]: Simplify z into z 0.768 * [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 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.769 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.769 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 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 y 4)) in y 0.769 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (* 1 1) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.770 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.771 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.777 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.777 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.778 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.778 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.779 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.779 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.779 * [taylor]: Taking taylor expansion of 0 in z 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [taylor]: Taking taylor expansion of 0 in z 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in z 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in z 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [taylor]: Taking taylor expansion of 0 in z 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 0.784 * [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))))) 0.784 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.784 * [taylor]: Taking taylor expansion of x in z 0.784 * [backup-simplify]: Simplify x into x 0.784 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.784 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.784 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.784 * [taylor]: Taking taylor expansion of z in z 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (* 1 1) into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.784 * [taylor]: Taking taylor expansion of y in z 0.784 * [backup-simplify]: Simplify y into y 0.784 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.785 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.785 * [backup-simplify]: Simplify (+ 1 0) into 1 0.785 * [backup-simplify]: Simplify (+ 0 1) into 1 0.785 * [backup-simplify]: Simplify (sqrt 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [backup-simplify]: Simplify x into x 0.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.787 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.787 * [taylor]: Taking taylor expansion of z in y 0.787 * [backup-simplify]: Simplify z into z 0.787 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.787 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* 1 1) into 1 0.788 * [backup-simplify]: Simplify (/ 1 1) into 1 0.788 * [backup-simplify]: Simplify (+ 0 1) into 1 0.788 * [backup-simplify]: Simplify (+ 0 1) into 1 0.788 * [backup-simplify]: Simplify (sqrt 1) into 1 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.790 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.790 * [taylor]: Taking taylor expansion of x in x 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 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.791 * [taylor]: Taking taylor expansion of z in x 0.791 * [backup-simplify]: Simplify z into z 0.791 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.791 * [taylor]: Taking taylor expansion of y in x 0.791 * [backup-simplify]: Simplify y into y 0.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.791 * [backup-simplify]: Simplify (+ 1 0) into 1 0.792 * [backup-simplify]: Simplify (sqrt 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.793 * [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 (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.793 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.794 * [taylor]: Taking taylor expansion of z in x 0.794 * [backup-simplify]: Simplify z into z 0.794 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.794 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [backup-simplify]: Simplify y into y 0.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.794 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.794 * [backup-simplify]: Simplify (+ 1 0) 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 1 in y 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [taylor]: Taking taylor expansion of 1 in z 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.797 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.798 * [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)))) 0.798 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.798 * [taylor]: Taking taylor expansion of 1/2 in y 0.798 * [backup-simplify]: Simplify 1/2 into 1/2 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.798 * [taylor]: Taking taylor expansion of z in y 0.798 * [backup-simplify]: Simplify z into z 0.798 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 1) into 1 0.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.800 * [taylor]: Taking taylor expansion of 0 in z 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [taylor]: Taking taylor expansion of 0 in z 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [taylor]: Taking taylor expansion of 0 in z 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.802 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 0.804 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 0.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 0.804 * [taylor]: Taking taylor expansion of 1/2 in z 0.804 * [backup-simplify]: Simplify 1/2 into 1/2 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.805 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.805 * [taylor]: Taking taylor expansion of z in z 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in z 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [taylor]: Taking taylor expansion of 0 in z 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.808 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [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)))))) 0.810 * [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 0.810 * [taylor]: Taking taylor expansion of -1/2 in y 0.810 * [backup-simplify]: Simplify -1/2 into -1/2 0.810 * [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 0.810 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 0.810 * [taylor]: Taking taylor expansion of 1/4 in y 0.810 * [backup-simplify]: Simplify 1/4 into 1/4 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 0.810 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.810 * [taylor]: Taking taylor expansion of z in y 0.810 * [backup-simplify]: Simplify z into z 0.810 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.810 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.810 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 0.810 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 0.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 0.810 * [taylor]: Taking taylor expansion of 1/2 in y 0.810 * [backup-simplify]: Simplify 1/2 into 1/2 0.810 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.810 * [taylor]: Taking taylor expansion of z in y 0.810 * [backup-simplify]: Simplify z into z 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.811 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.811 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.811 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 0.811 * [taylor]: Taking taylor expansion of 1/4 in y 0.811 * [backup-simplify]: Simplify 1/4 into 1/4 0.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.811 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.812 * [backup-simplify]: Simplify (/ 1 1) into 1 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.812 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.812 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 0.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 0.819 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 0.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 0.820 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.820 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 0.821 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 0.821 * [taylor]: Taking taylor expansion of 0 in z 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [taylor]: Taking taylor expansion of 0 in z 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in z 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [taylor]: Taking taylor expansion of 0 in z 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [taylor]: Taking taylor expansion of 0 in z 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 0.825 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.826 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) 0.826 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.826 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.826 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.826 * [taylor]: Taking taylor expansion of x in z 0.826 * [backup-simplify]: Simplify x into x 0.826 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.826 * [taylor]: Taking taylor expansion of y in z 0.826 * [backup-simplify]: Simplify y into y 0.826 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.826 * [taylor]: Taking taylor expansion of z in z 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.826 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.826 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 0.826 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 0.826 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.826 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 0.827 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.827 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.827 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.827 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.828 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.828 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 0.828 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.828 * [taylor]: Taking taylor expansion of x in y 0.828 * [backup-simplify]: Simplify x into x 0.828 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.828 * [taylor]: Taking taylor expansion of z in y 0.828 * [backup-simplify]: Simplify z into z 0.828 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.828 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.828 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.828 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 0.828 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 0.829 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.829 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 0.829 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.829 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.829 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.829 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.830 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.830 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.830 * [taylor]: Taking taylor expansion of y in x 0.830 * [backup-simplify]: Simplify y into y 0.830 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.830 * [taylor]: Taking taylor expansion of z in x 0.830 * [backup-simplify]: Simplify z into z 0.830 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.830 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.830 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.830 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.831 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.831 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.831 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.831 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.831 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.831 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.832 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.832 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 0.832 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.832 * [backup-simplify]: Simplify y into y 0.832 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.832 * [taylor]: Taking taylor expansion of z in x 0.832 * [backup-simplify]: Simplify z into z 0.832 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.832 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.832 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 0.833 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 0.833 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 0.833 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.833 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 0.833 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.834 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.834 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.834 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.835 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) 0.835 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 0.835 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 0.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.835 * [taylor]: Taking taylor expansion of z in y 0.835 * [backup-simplify]: Simplify z into z 0.835 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.835 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.835 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 0.835 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 0.835 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.835 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.835 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.836 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.836 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333)) 0.836 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z 0.836 * [taylor]: Taking taylor expansion of z in z 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.836 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.836 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.837 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.837 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [taylor]: Taking taylor expansion of 0 in z 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in z 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333) 0.840 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.840 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.841 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.841 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ 1 0) into 1 0.842 * [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))))) 0.843 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) 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 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 0.843 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 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 * [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 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.843 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 0.844 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.844 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 0.844 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 0.844 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.844 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.844 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.844 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.845 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z) 0.845 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z)) 0.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.845 * [taylor]: Taking taylor expansion of 1/2 in z 0.845 * [backup-simplify]: Simplify 1/2 into 1/2 0.846 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.846 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.846 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.846 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.846 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.846 * [taylor]: Taking taylor expansion of z in z 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [taylor]: Taking taylor expansion of 0 in z 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.850 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 0.850 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z)) 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z 0.850 * [taylor]: Taking taylor expansion of 1/2 in z 0.850 * [backup-simplify]: Simplify 1/2 into 1/2 0.850 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z 0.850 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.850 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.850 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.850 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.851 * [taylor]: Taking taylor expansion of z in z 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333)) 0.858 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) 0.858 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.858 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.858 * [taylor]: Taking taylor expansion of x in z 0.858 * [backup-simplify]: Simplify x into x 0.858 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.858 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.858 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.858 * [taylor]: Taking taylor expansion of z in z 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.859 * [taylor]: Taking taylor expansion of y in z 0.859 * [backup-simplify]: Simplify y into y 0.859 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.859 * [backup-simplify]: Simplify (+ 1 0) into 1 0.859 * [backup-simplify]: Simplify (+ 0 1) into 1 0.860 * [backup-simplify]: Simplify (sqrt 1) into 1 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.861 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.861 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.861 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.861 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.862 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [backup-simplify]: Simplify x into x 0.862 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.862 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.862 * [taylor]: Taking taylor expansion of z in y 0.862 * [backup-simplify]: Simplify z into z 0.862 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.862 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (* 1 1) into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [backup-simplify]: Simplify (+ 0 1) into 1 0.863 * [backup-simplify]: Simplify (+ 0 1) into 1 0.863 * [backup-simplify]: Simplify (sqrt 1) into 1 0.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.865 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.865 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.865 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.865 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.866 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.866 * [taylor]: Taking taylor expansion of z in x 0.866 * [backup-simplify]: Simplify z into z 0.866 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.866 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [backup-simplify]: Simplify y into y 0.867 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.867 * [backup-simplify]: Simplify (sqrt 1) into 1 0.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.869 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.869 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.869 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.869 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.869 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.869 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (* 1 1) into 1 0.870 * [backup-simplify]: Simplify (/ 1 1) into 1 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.870 * [taylor]: Taking taylor expansion of z in x 0.870 * [backup-simplify]: Simplify z into z 0.870 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.870 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [backup-simplify]: Simplify y into y 0.870 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.870 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.870 * [backup-simplify]: Simplify (+ 1 0) into 1 0.871 * [backup-simplify]: Simplify (sqrt 1) into 1 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.872 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.872 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.872 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.872 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.873 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333) 0.873 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.873 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.873 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.874 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.874 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.874 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.875 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.877 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.878 * [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)))) 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) 0.879 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.879 * [taylor]: Taking taylor expansion of 1/2 in y 0.879 * [backup-simplify]: Simplify 1/2 into 1/2 0.879 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.879 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.879 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.879 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.879 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.880 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.880 * [taylor]: Taking taylor expansion of z in y 0.880 * [backup-simplify]: Simplify z into z 0.880 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.880 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.880 * [taylor]: Taking taylor expansion of 1/2 in y 0.880 * [backup-simplify]: Simplify 1/2 into 1/2 0.880 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.880 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.880 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.880 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.883 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [taylor]: Taking taylor expansion of 0 in z 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [taylor]: Taking taylor expansion of 0 in z 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [taylor]: Taking taylor expansion of 0 in z 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.885 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.891 * [taylor]: Taking taylor expansion of 1/2 in z 0.891 * [backup-simplify]: Simplify 1/2 into 1/2 0.891 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.891 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.891 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.891 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.891 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.891 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.891 * [taylor]: Taking taylor expansion of z in z 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [taylor]: Taking taylor expansion of 0 in z 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.894 * [taylor]: Taking taylor expansion of 0 in z 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.898 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [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)))))) 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) 0.901 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.901 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.901 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.901 * [taylor]: Taking taylor expansion of 1/8 in y 0.901 * [backup-simplify]: Simplify 1/8 into 1/8 0.901 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.901 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.901 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.901 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.901 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.902 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.902 * [taylor]: Taking taylor expansion of z in y 0.902 * [backup-simplify]: Simplify z into z 0.902 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.902 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.902 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4)) 0.902 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.903 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.903 * [taylor]: Taking taylor expansion of 1/4 in y 0.903 * [backup-simplify]: Simplify 1/4 into 1/4 0.903 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.903 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.903 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.903 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.903 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.903 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.903 * [taylor]: Taking taylor expansion of z in y 0.903 * [backup-simplify]: Simplify z into z 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.904 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.904 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.904 * [taylor]: Taking taylor expansion of 1/8 in y 0.904 * [backup-simplify]: Simplify 1/8 into 1/8 0.904 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.904 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.904 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.904 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.904 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.905 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.907 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- 0) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in z 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [taylor]: Taking taylor expansion of 0 in z 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in z 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [taylor]: Taking taylor expansion of 0 in z 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in z 0.919 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333)) 0.923 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt (/ 1 3.0))) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) 0.923 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.923 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in z 0.923 * [taylor]: Taking taylor expansion of x in z 0.923 * [backup-simplify]: Simplify x into x 0.923 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.923 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.923 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.923 * [taylor]: Taking taylor expansion of z in z 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.924 * [taylor]: Taking taylor expansion of y in z 0.924 * [backup-simplify]: Simplify y into y 0.924 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.924 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.924 * [backup-simplify]: Simplify (+ 1 0) into 1 0.924 * [backup-simplify]: Simplify (+ 0 1) into 1 0.925 * [backup-simplify]: Simplify (sqrt 1) into 1 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.926 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.926 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.926 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.926 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.927 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [backup-simplify]: Simplify x into x 0.927 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.927 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.927 * [taylor]: Taking taylor expansion of z in y 0.927 * [backup-simplify]: Simplify z into z 0.927 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.927 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (* 1 1) into 1 0.928 * [backup-simplify]: Simplify (/ 1 1) into 1 0.928 * [backup-simplify]: Simplify (+ 0 1) into 1 0.928 * [backup-simplify]: Simplify (+ 0 1) into 1 0.928 * [backup-simplify]: Simplify (sqrt 1) into 1 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.930 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.930 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.930 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.930 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.931 * [taylor]: Taking taylor expansion of z in x 0.931 * [backup-simplify]: Simplify z into z 0.931 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [backup-simplify]: Simplify y into y 0.932 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.932 * [backup-simplify]: Simplify (+ 1 0) into 1 0.932 * [backup-simplify]: Simplify (sqrt 1) into 1 0.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.934 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.934 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.934 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.934 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.934 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.935 * [taylor]: Taking taylor expansion of z in x 0.935 * [backup-simplify]: Simplify z into z 0.935 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.935 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [backup-simplify]: Simplify y into y 0.935 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.935 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.935 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify (sqrt 1) into 1 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (+ 0 0) into 0 0.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.937 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x 0.937 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x 0.937 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.937 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.938 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333) 0.938 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.938 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.938 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.939 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [backup-simplify]: Simplify 0 into 0 0.940 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.940 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.940 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.940 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.942 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 0.943 * [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)))) 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) 0.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y 0.947 * [taylor]: Taking taylor expansion of 1/2 in y 0.947 * [backup-simplify]: Simplify 1/2 into 1/2 0.947 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y 0.947 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.947 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.947 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.947 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.948 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.948 * [taylor]: Taking taylor expansion of z in y 0.948 * [backup-simplify]: Simplify z into z 0.948 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.948 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y 0.948 * [taylor]: Taking taylor expansion of 1/2 in y 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y 0.948 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.948 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.948 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.949 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.950 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [taylor]: Taking taylor expansion of 0 in z 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in z 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [taylor]: Taking taylor expansion of 0 in z 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 0.954 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z 0.959 * [taylor]: Taking taylor expansion of 1/2 in z 0.959 * [backup-simplify]: Simplify 1/2 into 1/2 0.959 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z 0.959 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z 0.959 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z 0.959 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.959 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.959 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.960 * [taylor]: Taking taylor expansion of z in z 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (* 1 1) into 1 0.960 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [taylor]: Taking taylor expansion of 0 in z 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.962 * [taylor]: Taking taylor expansion of 0 in z 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 0.965 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.966 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [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)))))) 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) 0.969 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))))) in y 0.969 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))))) in y 0.969 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y 0.969 * [taylor]: Taking taylor expansion of 1/8 in y 0.969 * [backup-simplify]: Simplify 1/8 into 1/8 0.969 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y 0.969 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.969 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.969 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.969 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.970 * [taylor]: Taking taylor expansion of (pow z 4) in y 0.970 * [taylor]: Taking taylor expansion of z in y 0.970 * [backup-simplify]: Simplify z into z 0.970 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.970 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 0.970 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4)) 0.970 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4)))) in y 0.970 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y 0.970 * [taylor]: Taking taylor expansion of 1/4 in y 0.970 * [backup-simplify]: Simplify 1/4 into 1/4 0.970 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y 0.970 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.970 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.970 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.971 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.971 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 0.971 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.971 * [taylor]: Taking taylor expansion of z in y 0.971 * [backup-simplify]: Simplify z into z 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* z z) into (pow z 2) 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 0.972 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2)) 0.972 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y 0.972 * [taylor]: Taking taylor expansion of 1/8 in y 0.972 * [backup-simplify]: Simplify 1/8 into 1/8 0.972 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y 0.972 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y 0.972 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y 0.972 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.972 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333) 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0 0.973 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333) 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.974 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.976 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (- 0) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in z 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [taylor]: Taking taylor expansion of 0 in z 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 0.983 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0 0.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [taylor]: Taking taylor expansion of 0 in z 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [taylor]: Taking taylor expansion of 0 in z 0.986 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0 0.987 * [taylor]: Taking taylor expansion of 0 in z 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333))) 0.990 * * * [progress]: simplifying candidates 0.991 * [simplify]: Simplifying: (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)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0)))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1)) (* (sqrt (- (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt (/ 1 3.0))) (cbrt (sqrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt (/ 1 3.0)) (cbrt (/ 1 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ (sqrt 1) 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 (sqrt 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 1))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (/ 1 3.0))) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (/ 1 3.0))) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) 0.991 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (exp (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 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(* (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (/ 1 h3)) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3))) (* (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) (/ 1 h3)) (+ (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (log (sqrt (/ 1 h3)))) (log (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3)))) (exp (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3)))) (* (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (* (sqrt (/ 1 h3)) (sqrt (/ 1 h3))) (sqrt (/ 1 h3)))) (* (cbrt (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3)))) (cbrt (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3))))) (cbrt (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3)))) (* (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt 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(sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 (sqrt h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ (sqrt 1) (sqrt h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ (sqrt 1) (sqrt h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 (sqrt h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 (sqrt h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (cbrt (sqrt (/ 1 h3))) (cbrt (sqrt (/ 1 h3))))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (* (cbrt (/ 1 h3)) (cbrt (/ 1 h3))))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h3) (cbrt h3))))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ (sqrt 1) (* (cbrt h3) (cbrt h3))))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ (sqrt 1) (sqrt h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ (sqrt 1) 1))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 (* (cbrt h3) (cbrt h3))))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 (sqrt h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 1))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt 1)) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt 1)) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (sqrt (/ 1 h3)))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 1) (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 h3))) (* (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 h3))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 h3))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3))) (* (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (/ 1 h3))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (/ 1 h3))) (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt 1)) (* (sqrt (+ (pow (+ (* h0 h0) (* h1 h1)) 3) (pow (* h2 h2) 3))) (sqrt (/ 1 h3))) (* (sqrt (- (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (* (* h2 h2) (* h2 h2)))) (sqrt (/ 1 h3))) h2 h0 (* -1 h0) (* h2 (sqrt h4)) (* h0 (sqrt h4)) (* -1 (* h0 (sqrt h4))) 0.996 * * [simplify]: iteration 0 : 235 enodes (cost 788 ) 1.001 * * [simplify]: iteration 1 : 772 enodes (cost 762 ) 1.015 * * [simplify]: iteration 2 : 2635 enodes (cost 738 ) 1.053 * * [simplify]: iteration 3 : 5001 enodes (cost 725 ) 1.056 * * * [progress]: adding candidates to table 1.206 * * [progress]: iteration 3 / 4 1.206 * * * [progress]: picking best candidate 1.211 * * * * [pick]: Picked # 1.212 * * * [progress]: localizing error 1.222 * * * [progress]: generating rewritten candidates 1.222 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.249 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.301 * * * [progress]: generating series expansions 1.301 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.301 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) 1.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.301 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.301 * [taylor]: Taking taylor expansion of x in z 1.301 * [backup-simplify]: Simplify x into x 1.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.301 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.301 * [taylor]: Taking taylor expansion of y in z 1.301 * [backup-simplify]: Simplify y into y 1.301 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.301 * [taylor]: Taking taylor expansion of z in z 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.302 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.302 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.302 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.302 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.303 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.303 * [taylor]: Taking taylor expansion of x in y 1.303 * [backup-simplify]: Simplify x into x 1.303 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.303 * [taylor]: Taking taylor expansion of z in y 1.303 * [backup-simplify]: Simplify z into z 1.303 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.303 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.303 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.304 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 1.304 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 1.304 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.304 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.304 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 1.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.305 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.305 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.305 * [taylor]: Taking taylor expansion of x in x 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.305 * [taylor]: Taking taylor expansion of y in x 1.305 * [backup-simplify]: Simplify y into y 1.305 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.305 * [taylor]: Taking taylor expansion of z in x 1.305 * [backup-simplify]: Simplify z into z 1.305 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.305 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.305 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.305 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.305 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.305 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.305 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.306 * [taylor]: Taking taylor expansion of y in x 1.306 * [backup-simplify]: Simplify y into y 1.306 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.306 * [taylor]: Taking taylor expansion of z in x 1.306 * [backup-simplify]: Simplify z into z 1.306 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.306 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.306 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.307 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.307 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.307 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.307 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.308 * [taylor]: Taking taylor expansion of z in y 1.308 * [backup-simplify]: Simplify z into z 1.308 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.308 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.308 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 1.308 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 1.308 * [taylor]: Taking taylor expansion of z in z 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [taylor]: Taking taylor expansion of 0 in y 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [taylor]: Taking taylor expansion of 0 in z 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [taylor]: Taking taylor expansion of 0 in z 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.309 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.310 * [backup-simplify]: Simplify (+ 1 0) into 1 1.311 * [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))))) 1.311 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y 1.311 * [taylor]: Taking taylor expansion of 1/2 in y 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.311 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.311 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.311 * [taylor]: Taking taylor expansion of y in y 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.311 * [taylor]: Taking taylor expansion of z in y 1.311 * [backup-simplify]: Simplify z into z 1.311 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.311 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.311 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.311 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 1.311 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 1.312 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z) 1.312 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.312 * [taylor]: Taking taylor expansion of 1/2 in z 1.312 * [backup-simplify]: Simplify 1/2 into 1/2 1.312 * [taylor]: Taking taylor expansion of z in z 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [taylor]: Taking taylor expansion of 0 in z 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.313 * [backup-simplify]: Simplify (+ 1 0) into 1 1.314 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 1.314 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z 1.314 * [taylor]: Taking taylor expansion of 1/2 in z 1.314 * [backup-simplify]: Simplify 1/2 into 1/2 1.314 * [taylor]: Taking taylor expansion of z in z 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z 1.316 * [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))))) 1.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.316 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.316 * [taylor]: Taking taylor expansion of x in z 1.316 * [backup-simplify]: Simplify x into x 1.316 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.316 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.316 * [taylor]: Taking taylor expansion of z in z 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.317 * [backup-simplify]: Simplify (/ 1 1) into 1 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.317 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.317 * [taylor]: Taking taylor expansion of y in z 1.317 * [backup-simplify]: Simplify y into y 1.317 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.317 * [backup-simplify]: Simplify (+ 1 0) into 1 1.317 * [backup-simplify]: Simplify (+ 0 1) into 1 1.318 * [backup-simplify]: Simplify (sqrt 1) into 1 1.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [backup-simplify]: Simplify x into x 1.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.322 * [taylor]: Taking taylor expansion of z in y 1.322 * [backup-simplify]: Simplify z into z 1.322 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.322 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (* 1 1) into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [backup-simplify]: Simplify (+ 0 1) into 1 1.323 * [backup-simplify]: Simplify (+ 0 1) into 1 1.324 * [backup-simplify]: Simplify (sqrt 1) into 1 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1 1) into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.326 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.326 * [taylor]: Taking taylor expansion of z in x 1.326 * [backup-simplify]: Simplify z into z 1.326 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.326 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.326 * [taylor]: Taking taylor expansion of y in x 1.326 * [backup-simplify]: Simplify y into y 1.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.326 * [backup-simplify]: Simplify (+ 1 0) into 1 1.327 * [backup-simplify]: Simplify (sqrt 1) into 1 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.328 * [taylor]: Taking taylor expansion of x in x 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (* 1 1) into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.329 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.329 * [taylor]: Taking taylor expansion of z in x 1.329 * [backup-simplify]: Simplify z into z 1.329 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.329 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.329 * [taylor]: Taking taylor expansion of y in x 1.329 * [backup-simplify]: Simplify y into y 1.329 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.329 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.329 * [backup-simplify]: Simplify (+ 1 0) into 1 1.330 * [backup-simplify]: Simplify (sqrt 1) into 1 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.331 * [taylor]: Taking taylor expansion of 1 in y 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of 0 in y 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [taylor]: Taking taylor expansion of 1 in z 1.331 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.333 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.334 * [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)))) 1.334 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.334 * [taylor]: Taking taylor expansion of 1/2 in y 1.334 * [backup-simplify]: Simplify 1/2 into 1/2 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.334 * [taylor]: Taking taylor expansion of z in y 1.334 * [backup-simplify]: Simplify z into z 1.334 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.334 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (* 1 1) into 1 1.334 * [backup-simplify]: Simplify (/ 1 1) into 1 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [backup-simplify]: Simplify (+ 0 1) into 1 1.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in z 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [taylor]: Taking taylor expansion of 0 in z 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [taylor]: Taking taylor expansion of 0 in z 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.340 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.340 * [taylor]: Taking taylor expansion of 1/2 in z 1.340 * [backup-simplify]: Simplify 1/2 into 1/2 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.340 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.340 * [taylor]: Taking taylor expansion of z in z 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [backup-simplify]: Simplify (/ 1 1) into 1 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [taylor]: Taking taylor expansion of 0 in z 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [taylor]: Taking taylor expansion of 0 in z 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.344 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [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)))))) 1.346 * [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 1.346 * [taylor]: Taking taylor expansion of -1/2 in y 1.346 * [backup-simplify]: Simplify -1/2 into -1/2 1.346 * [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 1.346 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.346 * [taylor]: Taking taylor expansion of 1/4 in y 1.346 * [backup-simplify]: Simplify 1/4 into 1/4 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.346 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.346 * [taylor]: Taking taylor expansion of z in y 1.346 * [backup-simplify]: Simplify z into z 1.346 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.346 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.346 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.346 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.346 * [taylor]: Taking taylor expansion of 1/2 in y 1.346 * [backup-simplify]: Simplify 1/2 into 1/2 1.346 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.346 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.346 * [taylor]: Taking taylor expansion of z in y 1.346 * [backup-simplify]: Simplify z into z 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.347 * [backup-simplify]: Simplify (* 1 1) into 1 1.347 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.347 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.347 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.347 * [taylor]: Taking taylor expansion of 1/4 in y 1.347 * [backup-simplify]: Simplify 1/4 into 1/4 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.347 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ 1 1) into 1 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.348 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.355 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.355 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.356 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.356 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.357 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.357 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in z 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [taylor]: Taking taylor expansion of 0 in z 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.360 * [taylor]: Taking taylor expansion of 0 in z 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [taylor]: Taking taylor expansion of 0 in z 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [taylor]: Taking taylor expansion of 0 in z 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x 1.362 * [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))))) 1.362 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.362 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.362 * [taylor]: Taking taylor expansion of x in z 1.362 * [backup-simplify]: Simplify x into x 1.362 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.362 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.362 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.362 * [taylor]: Taking taylor expansion of z in z 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (* 1 1) into 1 1.363 * [backup-simplify]: Simplify (/ 1 1) into 1 1.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.363 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.363 * [taylor]: Taking taylor expansion of y in z 1.363 * [backup-simplify]: Simplify y into y 1.363 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.363 * [backup-simplify]: Simplify (+ 1 0) into 1 1.363 * [backup-simplify]: Simplify (+ 0 1) into 1 1.364 * [backup-simplify]: Simplify (sqrt 1) into 1 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [backup-simplify]: Simplify x into x 1.366 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.366 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.366 * [taylor]: Taking taylor expansion of z in y 1.366 * [backup-simplify]: Simplify z into z 1.366 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.366 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [backup-simplify]: Simplify (+ 0 1) into 1 1.367 * [backup-simplify]: Simplify (+ 0 1) into 1 1.367 * [backup-simplify]: Simplify (sqrt 1) into 1 1.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (/ 1 1) into 1 1.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.369 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.369 * [taylor]: Taking taylor expansion of z in x 1.370 * [backup-simplify]: Simplify z into z 1.370 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.370 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.370 * [taylor]: Taking taylor expansion of y in x 1.370 * [backup-simplify]: Simplify y into y 1.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.370 * [backup-simplify]: Simplify (+ 1 0) into 1 1.370 * [backup-simplify]: Simplify (sqrt 1) into 1 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (/ 1 1) into 1 1.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.372 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.372 * [taylor]: Taking taylor expansion of z in x 1.372 * [backup-simplify]: Simplify z into z 1.372 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.373 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.373 * [taylor]: Taking taylor expansion of y in x 1.373 * [backup-simplify]: Simplify y into y 1.373 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.373 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.373 * [backup-simplify]: Simplify (+ 1 0) into 1 1.373 * [backup-simplify]: Simplify (sqrt 1) into 1 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.375 * [taylor]: Taking taylor expansion of 1 in y 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [taylor]: Taking taylor expansion of 0 in y 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 1 in z 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.376 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.377 * [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)))) 1.377 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.377 * [taylor]: Taking taylor expansion of 1/2 in y 1.377 * [backup-simplify]: Simplify 1/2 into 1/2 1.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.377 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.377 * [taylor]: Taking taylor expansion of z in y 1.377 * [backup-simplify]: Simplify z into z 1.377 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.377 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.377 * [taylor]: Taking taylor expansion of y in y 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (* 1 1) into 1 1.378 * [backup-simplify]: Simplify (/ 1 1) into 1 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 1) into 1 1.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.379 * [taylor]: Taking taylor expansion of 0 in z 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [taylor]: Taking taylor expansion of 0 in z 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [taylor]: Taking taylor expansion of 0 in z 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.382 * [taylor]: Taking taylor expansion of 0 in y 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2)) 1.384 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2))) 1.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z 1.384 * [taylor]: Taking taylor expansion of 1/2 in z 1.384 * [backup-simplify]: Simplify 1/2 into 1/2 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.384 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.384 * [taylor]: Taking taylor expansion of z in z 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (* 1 1) into 1 1.384 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in z 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [taylor]: Taking taylor expansion of 0 in z 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.387 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [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)))))) 1.389 * [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 1.389 * [taylor]: Taking taylor expansion of -1/2 in y 1.389 * [backup-simplify]: Simplify -1/2 into -1/2 1.389 * [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 1.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y 1.389 * [taylor]: Taking taylor expansion of 1/4 in y 1.389 * [backup-simplify]: Simplify 1/4 into 1/4 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y 1.389 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.389 * [taylor]: Taking taylor expansion of z in y 1.389 * [backup-simplify]: Simplify z into z 1.389 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.389 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.389 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4)) 1.389 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y 1.389 * [taylor]: Taking taylor expansion of 1/2 in y 1.389 * [backup-simplify]: Simplify 1/2 into 1/2 1.390 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y 1.390 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y 1.390 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.390 * [taylor]: Taking taylor expansion of z in y 1.390 * [backup-simplify]: Simplify z into z 1.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.390 * [backup-simplify]: Simplify (* 1 1) into 1 1.390 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2) 1.390 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.390 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y 1.390 * [taylor]: Taking taylor expansion of 1/4 in y 1.390 * [backup-simplify]: Simplify 1/4 into 1/4 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 1.390 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.390 * [taylor]: Taking taylor expansion of y in y 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.392 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2)) 1.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 1.398 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2))) 1.398 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2))) 1.399 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (* 1/4 1) into 1/4 1.400 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.400 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4 1.401 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in z 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [taylor]: Taking taylor expansion of 0 in z 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0 1.403 * [taylor]: Taking taylor expansion of 0 in z 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [taylor]: Taking taylor expansion of 0 in z 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [taylor]: Taking taylor expansion of 0 in z 1.403 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x) 1.405 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.405 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) into (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) 1.405 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z 1.405 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.405 * [taylor]: Taking taylor expansion of x in z 1.405 * [backup-simplify]: Simplify x into x 1.405 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.405 * [taylor]: Taking taylor expansion of y in z 1.406 * [backup-simplify]: Simplify y into y 1.406 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.406 * [taylor]: Taking taylor expansion of z in z 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.406 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.406 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2)) 1.406 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2))) 1.406 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.406 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0 1.407 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.407 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.407 * [taylor]: Taking taylor expansion of 3.0 in z 1.407 * [backup-simplify]: Simplify 3.0 into 3.0 1.407 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.408 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.408 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.408 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y 1.408 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.408 * [taylor]: Taking taylor expansion of x in y 1.408 * [backup-simplify]: Simplify x into x 1.408 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.408 * [taylor]: Taking taylor expansion of y in y 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.408 * [taylor]: Taking taylor expansion of z in y 1.408 * [backup-simplify]: Simplify z into z 1.408 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.408 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.408 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.409 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2)) 1.409 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2))) 1.409 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.409 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0 1.409 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.409 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.409 * [taylor]: Taking taylor expansion of 3.0 in y 1.409 * [backup-simplify]: Simplify 3.0 into 3.0 1.410 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.411 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.411 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.411 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.411 * [taylor]: Taking taylor expansion of y in x 1.411 * [backup-simplify]: Simplify y into y 1.411 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.411 * [taylor]: Taking taylor expansion of z in x 1.411 * [backup-simplify]: Simplify z into z 1.411 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.411 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.411 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.411 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.411 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.411 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.411 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.412 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.412 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.412 * [taylor]: Taking taylor expansion of 3.0 in x 1.412 * [backup-simplify]: Simplify 3.0 into 3.0 1.412 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.413 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.413 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in x 1.413 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x 1.413 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x 1.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x 1.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.413 * [backup-simplify]: Simplify y into y 1.414 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.414 * [taylor]: Taking taylor expansion of z in x 1.414 * [backup-simplify]: Simplify z into z 1.414 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.414 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.414 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2)) 1.414 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2)) 1.417 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2))) 1.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.417 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0 1.418 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.418 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.418 * [taylor]: Taking taylor expansion of 3.0 in x 1.418 * [backup-simplify]: Simplify 3.0 into 3.0 1.418 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.419 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.420 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) into (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) 1.420 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (/ 1 (sqrt 3.0))) in y 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y 1.420 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.420 * [taylor]: Taking taylor expansion of y in y 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.420 * [taylor]: Taking taylor expansion of z in y 1.420 * [backup-simplify]: Simplify z into z 1.420 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.420 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.420 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z 1.420 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0 1.421 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.421 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.421 * [taylor]: Taking taylor expansion of 3.0 in y 1.421 * [backup-simplify]: Simplify 3.0 into 3.0 1.421 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.422 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.423 * [backup-simplify]: Simplify (* z (/ 1 (sqrt 3.0))) into (/ z (sqrt 3.0)) 1.423 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z 1.423 * [taylor]: Taking taylor expansion of z in z 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.423 * [taylor]: Taking taylor expansion of 3.0 in z 1.423 * [backup-simplify]: Simplify 3.0 into 3.0 1.423 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.424 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.425 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.425 * [taylor]: Taking taylor expansion of 0 in y 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in z 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.426 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in z 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.428 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.429 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (+ 1 0) into 1 1.430 * [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))))) 1.431 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (/ 1 (sqrt 3.0))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) 1.431 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0)))) in y 1.431 * [taylor]: Taking taylor expansion of 1/2 in y 1.431 * [backup-simplify]: Simplify 1/2 into 1/2 1.431 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y 1.431 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y 1.431 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y 1.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.431 * [taylor]: Taking taylor expansion of z in y 1.431 * [backup-simplify]: Simplify z into z 1.431 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.431 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2) 1.431 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.432 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z) 1.432 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0 1.432 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.432 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.432 * [taylor]: Taking taylor expansion of 3.0 in y 1.432 * [backup-simplify]: Simplify 3.0 into 3.0 1.432 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.433 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.434 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 (sqrt 3.0))) into (/ 1 (* z (sqrt 3.0))) 1.434 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* z (sqrt 3.0)))) into (/ 1/2 (* z (sqrt 3.0))) 1.434 * [taylor]: Taking taylor expansion of (/ 1/2 (* z (sqrt 3.0))) in z 1.434 * [taylor]: Taking taylor expansion of 1/2 in z 1.434 * [backup-simplify]: Simplify 1/2 into 1/2 1.434 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.434 * [taylor]: Taking taylor expansion of z in z 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.434 * [taylor]: Taking taylor expansion of 3.0 in z 1.434 * [backup-simplify]: Simplify 3.0 into 3.0 1.435 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.435 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0 1.436 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0) 1.437 * [backup-simplify]: Simplify (/ 1/2 (sqrt 3.0)) into (/ 1/2 (sqrt 3.0)) 1.437 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0 1.439 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1/2 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [taylor]: Taking taylor expansion of 0 in z 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.441 * [backup-simplify]: Simplify (+ 1 0) into 1 1.441 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z) 1.442 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (/ 1 (sqrt 3.0))))) into (* 1/2 (/ 1 (* z (sqrt 3.0)))) 1.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* z (sqrt 3.0)))) in z 1.442 * [taylor]: Taking taylor expansion of 1/2 in z 1.442 * [backup-simplify]: Simplify 1/2 into 1/2 1.442 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z 1.442 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.442 * [taylor]: Taking taylor expansion of z in z 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.442 * [taylor]: Taking taylor expansion of 3.0 in z 1.442 * [backup-simplify]: Simplify 3.0 into 3.0 1.442 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.443 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0 1.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0) 1.445 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* z (* 1 1))) into (/ z (sqrt 3.0)) 1.449 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) (sqrt 3.0)) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) 1.449 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.449 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.449 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.449 * [taylor]: Taking taylor expansion of x in z 1.449 * [backup-simplify]: Simplify x into x 1.449 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.449 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.449 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.449 * [taylor]: Taking taylor expansion of z in z 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.450 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.450 * [taylor]: Taking taylor expansion of y in z 1.450 * [backup-simplify]: Simplify y into y 1.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (+ 0 1) into 1 1.451 * [backup-simplify]: Simplify (sqrt 1) into 1 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.452 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.452 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.452 * [taylor]: Taking taylor expansion of 3.0 in z 1.452 * [backup-simplify]: Simplify 3.0 into 3.0 1.453 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.454 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.454 * [taylor]: Taking taylor expansion of x in y 1.454 * [backup-simplify]: Simplify x into x 1.454 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.454 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.454 * [taylor]: Taking taylor expansion of z in y 1.454 * [backup-simplify]: Simplify z into z 1.454 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.454 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.454 * [taylor]: Taking taylor expansion of y in y 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* 1 1) into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [backup-simplify]: Simplify (+ 0 1) into 1 1.455 * [backup-simplify]: Simplify (+ 0 1) into 1 1.455 * [backup-simplify]: Simplify (sqrt 1) into 1 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.457 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.457 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.457 * [taylor]: Taking taylor expansion of 3.0 in y 1.457 * [backup-simplify]: Simplify 3.0 into 3.0 1.457 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.458 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.458 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.458 * [taylor]: Taking taylor expansion of x in x 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.459 * [taylor]: Taking taylor expansion of z in x 1.459 * [backup-simplify]: Simplify z into z 1.459 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.459 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [backup-simplify]: Simplify y into y 1.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.459 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.459 * [backup-simplify]: Simplify (+ 1 0) into 1 1.460 * [backup-simplify]: Simplify (sqrt 1) into 1 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.461 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.461 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.461 * [taylor]: Taking taylor expansion of 3.0 in x 1.461 * [backup-simplify]: Simplify 3.0 into 3.0 1.461 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.462 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.462 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (* 1 1) into 1 1.463 * [backup-simplify]: Simplify (/ 1 1) into 1 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.463 * [taylor]: Taking taylor expansion of z in x 1.463 * [backup-simplify]: Simplify z into z 1.463 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.463 * [taylor]: Taking taylor expansion of y in x 1.463 * [backup-simplify]: Simplify y into y 1.463 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.463 * [backup-simplify]: Simplify (+ 1 0) into 1 1.464 * [backup-simplify]: Simplify (sqrt 1) into 1 1.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.465 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.465 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.465 * [taylor]: Taking taylor expansion of 3.0 in x 1.465 * [backup-simplify]: Simplify 3.0 into 3.0 1.465 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.466 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.467 * [backup-simplify]: Simplify (* 1 (/ 1 (sqrt 3.0))) into (/ 1 (sqrt 3.0)) 1.467 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.467 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.467 * [taylor]: Taking taylor expansion of 3.0 in y 1.467 * [backup-simplify]: Simplify 3.0 into 3.0 1.467 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.468 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.469 * [taylor]: Taking taylor expansion of 0 in y 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.469 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.469 * [taylor]: Taking taylor expansion of 3.0 in z 1.469 * [backup-simplify]: Simplify 3.0 into 3.0 1.470 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.471 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.473 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.474 * [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)))) 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (/ 1 (sqrt 3.0))))) into (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) 1.475 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) in y 1.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y 1.475 * [taylor]: Taking taylor expansion of 1/2 in y 1.475 * [backup-simplify]: Simplify 1/2 into 1/2 1.476 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y 1.476 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y 1.476 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.476 * [taylor]: Taking taylor expansion of z in y 1.476 * [backup-simplify]: Simplify z into z 1.476 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.476 * [taylor]: Taking taylor expansion of 3.0 in y 1.476 * [backup-simplify]: Simplify 3.0 into 3.0 1.476 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.476 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.477 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0)) 1.477 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0))) 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y 1.477 * [taylor]: Taking taylor expansion of 1/2 in y 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y 1.477 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.477 * [taylor]: Taking taylor expansion of y in y 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.477 * [taylor]: Taking taylor expansion of 3.0 in y 1.477 * [backup-simplify]: Simplify 3.0 into 3.0 1.477 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.479 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in z 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [taylor]: Taking taylor expansion of 0 in z 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) 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 (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0 1.487 * [taylor]: Taking taylor expansion of 0 in y 1.487 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0))) 1.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0 1.491 * [backup-simplify]: Simplify (+ (/ 1/2 (* (pow z 2) (sqrt 3.0))) 0) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z 1.491 * [taylor]: Taking taylor expansion of 1/2 in z 1.491 * [backup-simplify]: Simplify 1/2 into 1/2 1.491 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z 1.491 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z 1.491 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.491 * [taylor]: Taking taylor expansion of z in z 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.491 * [taylor]: Taking taylor expansion of 3.0 in z 1.491 * [backup-simplify]: Simplify 3.0 into 3.0 1.491 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.492 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.493 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [taylor]: Taking taylor expansion of 0 in z 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.496 * [taylor]: Taking taylor expansion of 0 in z 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.497 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.500 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [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)))))) 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (/ 1 (sqrt 3.0))))))) into (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))))) 1.507 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))))) in y 1.507 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))))) in y 1.507 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y 1.507 * [taylor]: Taking taylor expansion of 1/8 in y 1.507 * [backup-simplify]: Simplify 1/8 into 1/8 1.507 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y 1.507 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y 1.507 * [taylor]: Taking taylor expansion of (pow z 4) in y 1.507 * [taylor]: Taking taylor expansion of z in y 1.507 * [backup-simplify]: Simplify z into z 1.507 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.508 * [taylor]: Taking taylor expansion of 3.0 in y 1.508 * [backup-simplify]: Simplify 3.0 into 3.0 1.508 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.508 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.509 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.509 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0)) 1.509 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0))) 1.509 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))) in y 1.509 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y 1.509 * [taylor]: Taking taylor expansion of 1/4 in y 1.509 * [backup-simplify]: Simplify 1/4 into 1/4 1.509 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y 1.509 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y 1.509 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.509 * [taylor]: Taking taylor expansion of z in y 1.509 * [backup-simplify]: Simplify z into z 1.510 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.510 * [taylor]: Taking taylor expansion of y in y 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.510 * [taylor]: Taking taylor expansion of 3.0 in y 1.510 * [backup-simplify]: Simplify 3.0 into 3.0 1.510 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.510 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.511 * [backup-simplify]: Simplify (* 1 1) into 1 1.511 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.511 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0)) 1.512 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0))) 1.512 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y 1.512 * [taylor]: Taking taylor expansion of 1/8 in y 1.512 * [backup-simplify]: Simplify 1/8 into 1/8 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y 1.512 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y 1.512 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.512 * [taylor]: Taking taylor expansion of y in y 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.512 * [taylor]: Taking taylor expansion of 3.0 in y 1.512 * [backup-simplify]: Simplify 3.0 into 3.0 1.512 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.513 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (* 1 1) into 1 1.513 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.514 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.515 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.515 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0 1.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0 1.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.525 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (- 0) into 0 1.526 * [taylor]: Taking taylor expansion of 0 in z 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in z 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.526 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0 1.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0 1.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.531 * [taylor]: Taking taylor expansion of 0 in z 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [taylor]: Taking taylor expansion of 0 in z 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.532 * [taylor]: Taking taylor expansion of 0 in z 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 x))))) into (/ x (sqrt 3.0)) 1.537 * [backup-simplify]: Simplify (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) (sqrt 3.0)) into (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) 1.537 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.537 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z 1.537 * [taylor]: Taking taylor expansion of (pow x 2) in z 1.537 * [taylor]: Taking taylor expansion of x in z 1.537 * [backup-simplify]: Simplify x into x 1.537 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.537 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 1.537 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.537 * [taylor]: Taking taylor expansion of z in z 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.538 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in z 1.538 * [taylor]: Taking taylor expansion of y in z 1.538 * [backup-simplify]: Simplify y into y 1.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.538 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.538 * [backup-simplify]: Simplify (+ 1 0) into 1 1.538 * [backup-simplify]: Simplify (+ 0 1) into 1 1.539 * [backup-simplify]: Simplify (sqrt 1) into 1 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.540 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.540 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.540 * [taylor]: Taking taylor expansion of 3.0 in z 1.540 * [backup-simplify]: Simplify 3.0 into 3.0 1.540 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.541 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.541 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.542 * [taylor]: Taking taylor expansion of x in y 1.542 * [backup-simplify]: Simplify x into x 1.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.542 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 1.542 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.542 * [taylor]: Taking taylor expansion of z in y 1.542 * [backup-simplify]: Simplify z into z 1.542 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.542 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.542 * [taylor]: Taking taylor expansion of y in y 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.543 * [backup-simplify]: Simplify (/ 1 1) into 1 1.543 * [backup-simplify]: Simplify (+ 0 1) into 1 1.543 * [backup-simplify]: Simplify (+ 0 1) into 1 1.543 * [backup-simplify]: Simplify (sqrt 1) into 1 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.545 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.545 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.545 * [taylor]: Taking taylor expansion of 3.0 in y 1.545 * [backup-simplify]: Simplify 3.0 into 3.0 1.546 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.546 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.547 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.547 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (* 1 1) into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.547 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.547 * [taylor]: Taking taylor expansion of z in x 1.547 * [backup-simplify]: Simplify z into z 1.547 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.547 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.547 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.547 * [taylor]: Taking taylor expansion of y in x 1.547 * [backup-simplify]: Simplify y into y 1.547 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.548 * [backup-simplify]: Simplify (+ 1 0) into 1 1.548 * [backup-simplify]: Simplify (sqrt 1) into 1 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.550 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.550 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.550 * [taylor]: Taking taylor expansion of 3.0 in x 1.550 * [backup-simplify]: Simplify 3.0 into 3.0 1.550 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.551 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.551 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in x 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* 1 1) into 1 1.551 * [backup-simplify]: Simplify (/ 1 1) into 1 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 1.551 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.551 * [taylor]: Taking taylor expansion of z in x 1.551 * [backup-simplify]: Simplify z into z 1.552 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.552 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2)) 1.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.552 * [taylor]: Taking taylor expansion of y in x 1.552 * [backup-simplify]: Simplify y into y 1.552 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.552 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.552 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (sqrt 1) into 1 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.554 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in x 1.554 * [taylor]: Taking taylor expansion of (sqrt 3.0) in x 1.554 * [taylor]: Taking taylor expansion of 3.0 in x 1.554 * [backup-simplify]: Simplify 3.0 into 3.0 1.554 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.555 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.556 * [backup-simplify]: Simplify (* 1 (/ 1 (sqrt 3.0))) into (/ 1 (sqrt 3.0)) 1.556 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in y 1.556 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.556 * [taylor]: Taking taylor expansion of 3.0 in y 1.556 * [backup-simplify]: Simplify 3.0 into 3.0 1.556 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.557 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in z 1.558 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.558 * [taylor]: Taking taylor expansion of 3.0 in z 1.558 * [backup-simplify]: Simplify 3.0 into 3.0 1.559 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.560 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.560 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.562 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) 1.563 * [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)))) 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (/ 1 (sqrt 3.0))))) into (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) 1.564 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0))))) in y 1.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in y 1.564 * [taylor]: Taking taylor expansion of 1/2 in y 1.564 * [backup-simplify]: Simplify 1/2 into 1/2 1.564 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in y 1.565 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in y 1.565 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.565 * [taylor]: Taking taylor expansion of z in y 1.565 * [backup-simplify]: Simplify z into z 1.565 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.565 * [taylor]: Taking taylor expansion of 3.0 in y 1.565 * [backup-simplify]: Simplify 3.0 into 3.0 1.565 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.565 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.566 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0)) 1.566 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0))) 1.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y 2) (sqrt 3.0)))) in y 1.566 * [taylor]: Taking taylor expansion of 1/2 in y 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (sqrt 3.0))) in y 1.566 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.566 * [taylor]: Taking taylor expansion of 3.0 in y 1.566 * [backup-simplify]: Simplify 3.0 into 3.0 1.566 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.567 * [backup-simplify]: Simplify (* 1 1) into 1 1.567 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.568 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [taylor]: Taking taylor expansion of 0 in z 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [taylor]: Taking taylor expansion of 0 in z 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.571 * [taylor]: Taking taylor expansion of 0 in z 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0 1.574 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0 1.577 * [taylor]: Taking taylor expansion of 0 in y 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) into (/ 1/2 (* (pow z 2) (sqrt 3.0))) 1.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0 1.581 * [backup-simplify]: Simplify (+ (/ 1/2 (* (pow z 2) (sqrt 3.0))) 0) into (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) 1.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (sqrt 3.0)))) in z 1.581 * [taylor]: Taking taylor expansion of 1/2 in z 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (sqrt 3.0))) in z 1.581 * [taylor]: Taking taylor expansion of (* (pow z 2) (sqrt 3.0)) in z 1.581 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.581 * [taylor]: Taking taylor expansion of z in z 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.581 * [taylor]: Taking taylor expansion of 3.0 in z 1.581 * [backup-simplify]: Simplify 3.0 into 3.0 1.581 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.582 * [backup-simplify]: Simplify (* 1 1) into 1 1.582 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.583 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 3.0)))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [taylor]: Taking taylor expansion of 0 in z 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) 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 1.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0 1.590 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [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)))))) 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (/ 1 (sqrt 3.0))))))) into (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))))) 1.594 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))))) in y 1.594 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))))) in y 1.594 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow z 4) (sqrt 3.0)))) in y 1.594 * [taylor]: Taking taylor expansion of 1/8 in y 1.594 * [backup-simplify]: Simplify 1/8 into 1/8 1.594 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 4) (sqrt 3.0))) in y 1.594 * [taylor]: Taking taylor expansion of (* (pow z 4) (sqrt 3.0)) in y 1.594 * [taylor]: Taking taylor expansion of (pow z 4) 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 (sqrt 3.0) in y 1.594 * [taylor]: Taking taylor expansion of 3.0 in y 1.594 * [backup-simplify]: Simplify 3.0 into 3.0 1.595 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.595 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.595 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4) 1.596 * [backup-simplify]: Simplify (* (pow z 4) (sqrt 3.0)) into (* (pow z 4) (sqrt 3.0)) 1.596 * [backup-simplify]: Simplify (/ 1 (* (pow z 4) (sqrt 3.0))) into (/ 1 (* (pow z 4) (sqrt 3.0))) 1.596 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0))))) in y 1.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0))))) in y 1.599 * [taylor]: Taking taylor expansion of 1/4 in y 1.599 * [backup-simplify]: Simplify 1/4 into 1/4 1.599 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (* (pow y 2) (sqrt 3.0)))) in y 1.599 * [taylor]: Taking taylor expansion of (* (pow z 2) (* (pow y 2) (sqrt 3.0))) in y 1.599 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.599 * [taylor]: Taking taylor expansion of z in y 1.599 * [backup-simplify]: Simplify z into z 1.599 * [taylor]: Taking taylor expansion of (* (pow y 2) (sqrt 3.0)) in y 1.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.599 * [taylor]: Taking taylor expansion of y in y 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.599 * [taylor]: Taking taylor expansion of 3.0 in y 1.599 * [backup-simplify]: Simplify 3.0 into 3.0 1.600 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.600 * [backup-simplify]: Simplify (* z z) into (pow z 2) 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.601 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.601 * [backup-simplify]: Simplify (* (pow z 2) (sqrt 3.0)) into (* (pow z 2) (sqrt 3.0)) 1.602 * [backup-simplify]: Simplify (/ 1 (* (pow z 2) (sqrt 3.0))) into (/ 1 (* (pow z 2) (sqrt 3.0))) 1.602 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (* (pow y 4) (sqrt 3.0)))) in y 1.602 * [taylor]: Taking taylor expansion of 1/8 in y 1.602 * [backup-simplify]: Simplify 1/8 into 1/8 1.602 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 4) (sqrt 3.0))) in y 1.602 * [taylor]: Taking taylor expansion of (* (pow y 4) (sqrt 3.0)) in y 1.602 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.602 * [taylor]: Taking taylor expansion of y in y 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [taylor]: Taking taylor expansion of (sqrt 3.0) in y 1.602 * [taylor]: Taking taylor expansion of 3.0 in y 1.602 * [backup-simplify]: Simplify 3.0 into 3.0 1.602 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (* 1 (sqrt 3.0)) into (sqrt 3.0) 1.604 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.605 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.605 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0 1.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0 1.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0 1.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0 1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 3.0))) into 0 1.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0 1.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.615 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [taylor]: Taking taylor expansion of 0 in z 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [taylor]: Taking taylor expansion of 0 in z 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0 1.616 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 (sqrt 3.0))) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow z 2) (sqrt 3.0))) (/ 0 (* (pow z 2) (sqrt 3.0)))))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (pow z 2) (sqrt 3.0))))) into 0 1.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0 1.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0)))))) 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 * [taylor]: Taking taylor expansion of 0 in z 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in z 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0)))) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 3.0))))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (/ x (sqrt 3.0))) 1.627 * * * [progress]: simplifying candidates 1.628 * [simplify]: Simplifying: (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)))) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt 3.0))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (- (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (- (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ 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(cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt 1) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ 1 (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ 1 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) z x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* 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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)))) (- (log (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (log (sqrt h3))) (log (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (exp (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (/ (* (* (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (* (sqrt h3) (sqrt h3)) (sqrt h3))) (* (cbrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (cbrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)))) (cbrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (* (* (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (/ (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)) h3) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (sqrt (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3))) (- (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (- (sqrt h3)) (/ (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt h3))) (/ (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (* (cbrt h3) (cbrt h3)))) (/ (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (cbrt h3))) (/ (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (sqrt h3))) (/ (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt h3))) (/ (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt 1)) (/ (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt h3)) (/ (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (sqrt h3))) (/ (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (sqrt h3))) (/ (* (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) 1) (/ (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt h3)) (/ (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (cbrt (sqrt h3))) (/ (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (* (cbrt h3) (cbrt h3)))) (/ (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (sqrt (cbrt h3))) (/ (sqrt (* (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (sqrt (sqrt h3))) (/ 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h0 h0) (* h1 h1)) (* h2 h2))) (cbrt (sqrt h3))) (/ 1 (sqrt (* (cbrt h3) (cbrt h3)))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (cbrt h3))) (/ 1 (sqrt (sqrt h3))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (sqrt h3))) (/ 1 (sqrt 1)) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)) (/ 1 (sqrt (sqrt h3))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (sqrt h3))) (/ 1 1) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt h3)) (/ 1 (sqrt h3)) (/ (sqrt h3) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (* (cbrt h3) (cbrt h3)))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (sqrt h3))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt 1)) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) (sqrt (sqrt h3))) (/ (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))) 1) (/ (sqrt h3) (cbrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (/ (sqrt h3) (sqrt (cbrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (/ (sqrt h3) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (/ (sqrt h3) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (/ (sqrt h3) (sqrt (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2))))) (/ (sqrt h3) (sqrt (+ (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) (* (sqrt h3) (sqrt (+ (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h2) (* h2 h2)) (* (+ (* h0 h0) (* h1 h1)) (* h2 h2)))))) (* (sqrt h3) (sqrt (- (+ (* h0 h0) (* h1 h1)) (* h2 h2)))) h2 h0 (* -1 h0) (/ h2 (sqrt h3)) (/ h0 (sqrt h3)) (* -1 (/ h0 (sqrt h3))) 1.634 * * [simplify]: iteration 0 : 211 enodes (cost 1119 ) 1.639 * * [simplify]: iteration 1 : 625 enodes (cost 1058 ) 1.651 * * [simplify]: iteration 2 : 2289 enodes (cost 1035 ) 1.681 * * [simplify]: iteration 3 : 5001 enodes (cost 1035 ) 1.685 * * * [progress]: adding candidates to table 1.848 * * [progress]: iteration 4 / 4 1.848 * * * [progress]: picking best candidate 1.856 * * * * [pick]: Picked # 1.856 * * * [progress]: localizing error 1.859 * * * [progress]: generating rewritten candidates 1.859 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.867 * * * [progress]: generating series expansions 1.867 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.867 * [backup-simplify]: Simplify (/ z (sqrt 3.0)) into (/ z (sqrt 3.0)) 1.867 * [approximate]: Taking taylor expansion of (/ z (sqrt 3.0)) in (z) around 0 1.867 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z 1.867 * [taylor]: Taking taylor expansion of z in z 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.867 * [taylor]: Taking taylor expansion of 3.0 in z 1.867 * [backup-simplify]: Simplify 3.0 into 3.0 1.868 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.869 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.869 * [taylor]: Taking taylor expansion of (/ z (sqrt 3.0)) in z 1.869 * [taylor]: Taking taylor expansion of z in z 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.869 * [taylor]: Taking taylor expansion of 3.0 in z 1.869 * [backup-simplify]: Simplify 3.0 into 3.0 1.869 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.870 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.871 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.871 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.873 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.877 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.878 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) z) into (/ z (sqrt 3.0)) 1.879 * [backup-simplify]: Simplify (/ (/ 1 z) (sqrt 3.0)) into (/ 1 (* z (sqrt 3.0))) 1.879 * [approximate]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in (z) around 0 1.879 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z 1.879 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.879 * [taylor]: Taking taylor expansion of z in z 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.879 * [taylor]: Taking taylor expansion of 3.0 in z 1.879 * [backup-simplify]: Simplify 3.0 into 3.0 1.880 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.880 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0 1.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0) 1.882 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.882 * [taylor]: Taking taylor expansion of (/ 1 (* z (sqrt 3.0))) in z 1.882 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.882 * [taylor]: Taking taylor expansion of z in z 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.882 * [taylor]: Taking taylor expansion of 3.0 in z 1.882 * [backup-simplify]: Simplify 3.0 into 3.0 1.882 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.883 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0 1.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0) 1.885 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.885 * [backup-simplify]: Simplify (/ 1 (sqrt 3.0)) into (/ 1 (sqrt 3.0)) 1.886 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.889 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0)))))) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))))) into 0 1.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0)))))))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))))))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (* (/ 1 (sqrt 3.0)) (/ 1 (/ 1 z))) into (/ z (sqrt 3.0)) 1.900 * [backup-simplify]: Simplify (/ (/ 1 (- z)) (sqrt 3.0)) into (/ -1 (* z (sqrt 3.0))) 1.900 * [approximate]: Taking taylor expansion of (/ -1 (* z (sqrt 3.0))) in (z) around 0 1.900 * [taylor]: Taking taylor expansion of (/ -1 (* z (sqrt 3.0))) in z 1.900 * [taylor]: Taking taylor expansion of -1 in z 1.900 * [backup-simplify]: Simplify -1 into -1 1.900 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.900 * [taylor]: Taking taylor expansion of z in z 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.900 * [taylor]: Taking taylor expansion of 3.0 in z 1.900 * [backup-simplify]: Simplify 3.0 into 3.0 1.900 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.901 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0 1.902 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0) 1.902 * [backup-simplify]: Simplify (/ -1 (sqrt 3.0)) into (/ -1 (sqrt 3.0)) 1.902 * [taylor]: Taking taylor expansion of (/ -1 (* z (sqrt 3.0))) in z 1.902 * [taylor]: Taking taylor expansion of -1 in z 1.902 * [backup-simplify]: Simplify -1 into -1 1.902 * [taylor]: Taking taylor expansion of (* z (sqrt 3.0)) in z 1.902 * [taylor]: Taking taylor expansion of z in z 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of (sqrt 3.0) in z 1.903 * [taylor]: Taking taylor expansion of 3.0 in z 1.903 * [backup-simplify]: Simplify 3.0 into 3.0 1.903 * [backup-simplify]: Simplify (sqrt 3.0) into (sqrt 3.0) 1.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 3.0))) into 0 1.903 * [backup-simplify]: Simplify (* 0 (sqrt 3.0)) into 0 1.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 3.0))) into (sqrt 3.0) 1.905 * [backup-simplify]: Simplify (/ -1 (sqrt 3.0)) into (/ -1 (sqrt 3.0)) 1.906 * [backup-simplify]: Simplify (/ -1 (sqrt 3.0)) into (/ -1 (sqrt 3.0)) 1.906 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 3.0))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 3.0)))) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ -1 (sqrt 3.0)) (/ 0 (sqrt 3.0))))) into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 3.0))))) into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ -1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0)))))) into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ -1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))))) into 0 1.918 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ -1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0)))))))) into 0 1.920 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ -1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.920 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 3.0))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 3.0))))))))) into 0 1.922 * [backup-simplify]: Simplify (- (/ 0 (sqrt 3.0)) (+ (* (/ -1 (sqrt 3.0)) (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))) (* 0 (/ 0 (sqrt 3.0))))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (* (/ -1 (sqrt 3.0)) (/ 1 (/ 1 (- z)))) into (/ z (sqrt 3.0)) 1.923 * * * [progress]: simplifying candidates 1.924 * [simplify]: Simplifying: (- (log z) (log (sqrt 3.0))) (log (/ z (sqrt 3.0))) (exp (/ z (sqrt 3.0))) (/ (* (* z z) z) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ z (sqrt 3.0)))) (cbrt (/ z (sqrt 3.0))) (* (* (/ z (sqrt 3.0)) (/ z (sqrt 3.0))) (/ z (sqrt 3.0))) (sqrt (/ z (sqrt 3.0))) (sqrt (/ z (sqrt 3.0))) (- z) (- (sqrt 3.0)) (/ (* (cbrt z) (cbrt z)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt z) (cbrt (sqrt 3.0))) (/ (* (cbrt z) (cbrt z)) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt z) (sqrt (cbrt 3.0))) (/ (* (cbrt z) (cbrt z)) (sqrt (sqrt 3.0))) (/ (cbrt z) (sqrt (sqrt 3.0))) (/ (* (cbrt z) (cbrt z)) (sqrt 1)) (/ (cbrt z) (sqrt 3.0)) (/ (* (cbrt z) (cbrt z)) (sqrt (sqrt 3.0))) (/ (cbrt z) (sqrt (sqrt 3.0))) (/ (* (cbrt z) (cbrt z)) 1) (/ (cbrt z) (sqrt 3.0)) (/ (sqrt z) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt z) (cbrt (sqrt 3.0))) (/ (sqrt z) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt z) (sqrt (cbrt 3.0))) (/ (sqrt z) (sqrt (sqrt 3.0))) (/ (sqrt z) (sqrt (sqrt 3.0))) (/ (sqrt z) (sqrt 1)) (/ (sqrt z) (sqrt 3.0)) (/ (sqrt z) (sqrt (sqrt 3.0))) (/ (sqrt z) (sqrt (sqrt 3.0))) (/ (sqrt z) 1) (/ (sqrt z) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ z (cbrt (sqrt 3.0))) (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ z (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ z (sqrt (sqrt 3.0))) (/ 1 (sqrt 1)) (/ z (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ z (sqrt (sqrt 3.0))) (/ 1 1) (/ z (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) z) (/ z (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ z (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ z (sqrt (sqrt 3.0))) (/ z (sqrt 1)) (/ z (sqrt (sqrt 3.0))) (/ z 1) (/ (sqrt 3.0) (cbrt z)) (/ (sqrt 3.0) (sqrt z)) (/ (sqrt 3.0) z) (/ z (sqrt 3.0)) (/ z (sqrt 3.0)) (/ z (sqrt 3.0)) 1.924 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (sqrt h1))) (log (/ h0 (sqrt h1))) (exp (/ h0 (sqrt h1))) (/ (* (* h0 h0) h0) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (cbrt (/ h0 (sqrt h1))) (cbrt (/ h0 (sqrt h1)))) (cbrt (/ h0 (sqrt h1))) (* (* (/ h0 (sqrt h1)) (/ h0 (sqrt h1))) (/ h0 (sqrt h1))) (sqrt (/ h0 (sqrt h1))) (sqrt (/ h0 (sqrt h1))) (- h0) (- (sqrt h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (cbrt h0) (cbrt (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (cbrt h0) (sqrt (cbrt h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (sqrt h1))) (/ (cbrt h0) (sqrt (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt 1)) (/ (cbrt h0) (sqrt h1)) (/ (* (cbrt h0) (cbrt h0)) (sqrt (sqrt h1))) (/ (cbrt h0) (sqrt (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (sqrt h1)) (/ (sqrt h0) (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ (sqrt h0) (cbrt (sqrt h1))) (/ (sqrt h0) (sqrt (* (cbrt h1) (cbrt h1)))) (/ (sqrt h0) (sqrt (cbrt h1))) (/ (sqrt h0) (sqrt (sqrt h1))) (/ (sqrt h0) (sqrt (sqrt h1))) (/ (sqrt h0) (sqrt 1)) (/ (sqrt h0) (sqrt h1)) (/ (sqrt h0) (sqrt (sqrt h1))) (/ (sqrt h0) (sqrt (sqrt h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (sqrt h1)) (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h0 (cbrt (sqrt h1))) (/ 1 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h0 (sqrt (cbrt h1))) (/ 1 (sqrt (sqrt h1))) (/ h0 (sqrt (sqrt h1))) (/ 1 (sqrt 1)) (/ h0 (sqrt h1)) (/ 1 (sqrt (sqrt h1))) (/ h0 (sqrt (sqrt h1))) (/ 1 1) (/ h0 (sqrt h1)) (/ 1 (sqrt h1)) (/ (sqrt h1) h0) (/ h0 (* (cbrt (sqrt h1)) (cbrt (sqrt h1)))) (/ h0 (sqrt (* (cbrt h1) (cbrt h1)))) (/ h0 (sqrt (sqrt h1))) (/ h0 (sqrt 1)) (/ h0 (sqrt (sqrt h1))) (/ h0 1) (/ (sqrt h1) (cbrt h0)) (/ (sqrt h1) (sqrt h0)) (/ (sqrt h1) h0) (/ h0 (sqrt h1)) (/ h0 (sqrt h1)) (/ h0 (sqrt h1)) 1.927 * * [simplify]: iteration 0 : 103 enodes (cost 217 ) 1.930 * * [simplify]: iteration 1 : 273 enodes (cost 207 ) 1.934 * * [simplify]: iteration 2 : 729 enodes (cost 197 ) 1.946 * * [simplify]: iteration 3 : 2027 enodes (cost 197 ) 1.975 * * [simplify]: iteration 4 : 5001 enodes (cost 196 ) 1.976 * * * [progress]: adding candidates to table 2.035 * [progress]: [Phase 3 of 3] Extracting. 2.035 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.036 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) z y x) 2.036 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # # # # # # # # #) 2.084 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # #) 2.117 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # # # #) 2.157 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # # # #) 2.195 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # #) 2.227 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # # # # # # # #) 2.267 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # # # #) 2.300 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # # # # # # # # # # #) 2.341 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# #) 2.356 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # # #) 2.400 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # #) 2.460 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # #) 2.527 * * * [regime]: Found split indices: #