60.660 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.027 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.032 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.032 * * [simplify]: iteration 0: 9 enodes
0.033 * * [simplify]: iteration 1: 14 enodes
0.035 * * [simplify]: iteration 2: 24 enodes
0.038 * * [simplify]: iteration 3: 31 enodes
0.041 * * [simplify]: iteration complete: 31 enodes
0.041 * * [simplify]: Extracting #0: cost 1 inf + 0
0.041 * * [simplify]: Extracting #1: cost 2 inf + 0
0.041 * * [simplify]: Extracting #2: cost 11 inf + 0
0.041 * * [simplify]: Extracting #3: cost 7 inf + 6
0.042 * * [simplify]: Extracting #4: cost 0 inf + 49
0.042 * [simplify]: Simplified to:
  (sqrt (fma z z (fma y y (* x x))))
0.047 * * [progress]: iteration 1 / 4
0.048 * * * [progress]: picking best candidate
0.052 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.052 * * * [progress]: localizing error
0.068 * * * [progress]: generating rewritten candidates
0.069 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.100 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
0.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.142 * * * [progress]: generating series expansions
0.142 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.143 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.143 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.143 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.143 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.143 * [taylor]: Taking taylor expansion of y in z
0.143 * [backup-simplify]: Simplify y into y
0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.143 * [taylor]: Taking taylor expansion of x in z
0.143 * [backup-simplify]: Simplify x into x
0.143 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.143 * [taylor]: Taking taylor expansion of z in z
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.143 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.143 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.143 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.144 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.144 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.144 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.144 * [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 y 2) (pow x 2))))) into 0
0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.145 * [taylor]: Taking taylor expansion of y in y
0.145 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify 1 into 1
0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.145 * [taylor]: Taking taylor expansion of x in y
0.145 * [backup-simplify]: Simplify x into x
0.145 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.145 * [taylor]: Taking taylor expansion of z in y
0.145 * [backup-simplify]: Simplify z into z
0.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.145 * [backup-simplify]: Simplify (* z z) 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 (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.146 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.146 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.146 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.147 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.147 * [taylor]: Taking taylor expansion of x in x
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.147 * [taylor]: Taking taylor expansion of z in x
0.147 * [backup-simplify]: Simplify z into z
0.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.147 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.147 * [backup-simplify]: Simplify (+ 0 (pow z 2)) 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 (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
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [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 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.148 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.148 * [taylor]: Taking taylor expansion of y in x
0.148 * [backup-simplify]: Simplify y into y
0.148 * [taylor]: Taking taylor expansion of (+ (pow x 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
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
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 (+ 0 (pow z 2)) 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 (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
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.150 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.150 * [taylor]: Taking taylor expansion of y in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.150 * [taylor]: Taking taylor expansion of z in y
0.150 * [backup-simplify]: Simplify z into z
0.150 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.150 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.150 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.151 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.151 * [taylor]: Taking taylor expansion of z in z
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [taylor]: Taking taylor expansion of 0 in z
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [taylor]: Taking taylor expansion of 0 in z
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (+ 0 1) into 1
0.154 * [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)))))
0.154 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.154 * [taylor]: Taking taylor expansion of 1/2 in y
0.154 * [backup-simplify]: Simplify 1/2 into 1/2
0.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.154 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.154 * [taylor]: Taking taylor expansion of y in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.154 * [taylor]: Taking taylor expansion of z in y
0.154 * [backup-simplify]: Simplify z into z
0.154 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.154 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.154 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.154 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.154 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.155 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.155 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.155 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.155 * [taylor]: Taking taylor expansion of 1/2 in z
0.155 * [backup-simplify]: Simplify 1/2 into 1/2
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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
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
0.156 * [backup-simplify]: Simplify (* 1 1) into 1
0.157 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.157 * [backup-simplify]: Simplify (+ 1 0) into 1
0.157 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.157 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.158 * [taylor]: Taking taylor expansion of 1/2 in z
0.158 * [backup-simplify]: Simplify 1/2 into 1/2
0.158 * [taylor]: Taking taylor expansion of z in z
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.159 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.159 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.159 * [taylor]: Taking taylor expansion of y in z
0.159 * [backup-simplify]: Simplify y into y
0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.159 * [taylor]: Taking taylor expansion of x in z
0.160 * [backup-simplify]: Simplify x into x
0.160 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.160 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.160 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.160 * [taylor]: Taking taylor expansion of z in z
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [backup-simplify]: Simplify (* 1 1) into 1
0.160 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [backup-simplify]: Simplify (+ 0 1) into 1
0.161 * [backup-simplify]: Simplify (+ 0 1) into 1
0.161 * [backup-simplify]: Simplify (sqrt 1) into 1
0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.163 * [taylor]: Taking taylor expansion of y in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* 1 1) into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.164 * [taylor]: Taking taylor expansion of x in y
0.164 * [backup-simplify]: Simplify x into x
0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.164 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.164 * [taylor]: Taking taylor expansion of z in y
0.164 * [backup-simplify]: Simplify z into z
0.164 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.164 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.165 * [backup-simplify]: Simplify (+ 1 0) into 1
0.165 * [backup-simplify]: Simplify (sqrt 1) into 1
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.167 * [taylor]: Taking taylor expansion of y in x
0.167 * [backup-simplify]: Simplify y into y
0.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.167 * [taylor]: Taking taylor expansion of x in x
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* 1 1) into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.168 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.168 * [taylor]: Taking taylor expansion of z in x
0.168 * [backup-simplify]: Simplify z into z
0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.168 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.168 * [backup-simplify]: Simplify (+ 1 0) into 1
0.168 * [backup-simplify]: Simplify (+ 0 1) into 1
0.169 * [backup-simplify]: Simplify (sqrt 1) into 1
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.171 * [backup-simplify]: Simplify y into y
0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.171 * [taylor]: Taking taylor expansion of x in x
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (* 1 1) into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.172 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.172 * [taylor]: Taking taylor expansion of z in x
0.172 * [backup-simplify]: Simplify z into z
0.172 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.172 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.172 * [backup-simplify]: Simplify (+ 1 0) into 1
0.172 * [backup-simplify]: Simplify (+ 0 1) into 1
0.173 * [backup-simplify]: Simplify (sqrt 1) into 1
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.175 * [taylor]: Taking taylor expansion of 1 in y
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of 0 in y
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [taylor]: Taking taylor expansion of 1 in z
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.176 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.178 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.178 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.178 * [taylor]: Taking taylor expansion of 1/2 in y
0.178 * [backup-simplify]: Simplify 1/2 into 1/2
0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.178 * [taylor]: Taking taylor expansion of y in y
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.179 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.179 * [taylor]: Taking taylor expansion of z in y
0.179 * [backup-simplify]: Simplify z into z
0.179 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (+ 1 0) into 1
0.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.182 * [taylor]: Taking taylor expansion of 0 in z
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [taylor]: Taking taylor expansion of 0 in z
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [taylor]: Taking taylor expansion of 0 in z
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.187 * [taylor]: Taking taylor expansion of 0 in y
0.187 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.190 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.190 * [taylor]: Taking taylor expansion of 1/2 in z
0.190 * [backup-simplify]: Simplify 1/2 into 1/2
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.190 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.190 * [taylor]: Taking taylor expansion of z in z
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (* 1 1) into 1
0.191 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [taylor]: Taking taylor expansion of 0 in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [taylor]: Taking taylor expansion of 0 in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.198 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
0.198 * [taylor]: Taking taylor expansion of -1/2 in y
0.198 * [backup-simplify]: Simplify -1/2 into -1/2
0.198 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.198 * [taylor]: Taking taylor expansion of 1/2 in y
0.198 * [backup-simplify]: Simplify 1/2 into 1/2
0.198 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.198 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.198 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.198 * [taylor]: Taking taylor expansion of z in y
0.198 * [backup-simplify]: Simplify z into z
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.198 * [taylor]: Taking taylor expansion of y in y
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.199 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.199 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.199 * [taylor]: Taking taylor expansion of 1/4 in y
0.199 * [backup-simplify]: Simplify 1/4 into 1/4
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.199 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.199 * [taylor]: Taking taylor expansion of y in y
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.200 * [taylor]: Taking taylor expansion of 1/4 in y
0.200 * [backup-simplify]: Simplify 1/4 into 1/4
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.200 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.200 * [taylor]: Taking taylor expansion of z in y
0.200 * [backup-simplify]: Simplify z into z
0.200 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.200 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.200 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.201 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.213 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.214 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.214 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.215 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.215 * [taylor]: Taking taylor expansion of 0 in z
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [taylor]: Taking taylor expansion of 0 in z
0.215 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.218 * [taylor]: Taking taylor expansion of 0 in z
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [taylor]: Taking taylor expansion of 0 in z
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [taylor]: Taking taylor expansion of 0 in z
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.221 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.221 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.221 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.221 * [taylor]: Taking taylor expansion of y in z
0.221 * [backup-simplify]: Simplify y into y
0.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.222 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.222 * [taylor]: Taking taylor expansion of x in z
0.222 * [backup-simplify]: Simplify x into x
0.222 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.222 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.222 * [taylor]: Taking taylor expansion of z in z
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [backup-simplify]: Simplify (+ 0 1) into 1
0.224 * [backup-simplify]: Simplify (+ 0 1) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.227 * [taylor]: Taking taylor expansion of y in y
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (* 1 1) into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.228 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.228 * [taylor]: Taking taylor expansion of x in y
0.228 * [backup-simplify]: Simplify x into x
0.228 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.228 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.228 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.228 * [taylor]: Taking taylor expansion of z in y
0.228 * [backup-simplify]: Simplify z into z
0.229 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.229 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.229 * [backup-simplify]: Simplify (+ 1 0) into 1
0.230 * [backup-simplify]: Simplify (sqrt 1) into 1
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.232 * [taylor]: Taking taylor expansion of y in x
0.232 * [backup-simplify]: Simplify y into y
0.232 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.232 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.233 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.234 * [taylor]: Taking taylor expansion of z in x
0.234 * [backup-simplify]: Simplify z into z
0.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.234 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [backup-simplify]: Simplify (+ 0 1) into 1
0.235 * [backup-simplify]: Simplify (sqrt 1) into 1
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.238 * [taylor]: Taking taylor expansion of y in x
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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.238 * [taylor]: Taking taylor expansion of x in x
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.239 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (/ 1 1) into 1
0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.239 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.239 * [taylor]: Taking taylor expansion of z in x
0.239 * [backup-simplify]: Simplify z into z
0.239 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.239 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.240 * [backup-simplify]: Simplify (+ 1 0) into 1
0.240 * [backup-simplify]: Simplify (+ 0 1) into 1
0.241 * [backup-simplify]: Simplify (sqrt 1) into 1
0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.242 * [taylor]: Taking taylor expansion of 1 in y
0.242 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of 0 in y
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [taylor]: Taking taylor expansion of 1 in z
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.244 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.245 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.245 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.245 * [taylor]: Taking taylor expansion of 1/2 in y
0.245 * [backup-simplify]: Simplify 1/2 into 1/2
0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.245 * [taylor]: Taking taylor expansion of y in y
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (/ 1 1) into 1
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.246 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.246 * [taylor]: Taking taylor expansion of z in y
0.246 * [backup-simplify]: Simplify z into z
0.246 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.246 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (+ 1 0) into 1
0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.248 * [taylor]: Taking taylor expansion of 0 in z
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in z
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in z
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.251 * [taylor]: Taking taylor expansion of 0 in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.253 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.253 * [taylor]: Taking taylor expansion of 1/2 in z
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.253 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.253 * [taylor]: Taking taylor expansion of z in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [taylor]: Taking taylor expansion of 0 in z
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [taylor]: Taking taylor expansion of 0 in z
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.260 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) 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 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
0.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 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 (/ 1 (* (pow z 2) (pow y 2))) in y
0.260 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.260 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.260 * [taylor]: Taking taylor expansion of z in y
0.260 * [backup-simplify]: Simplify z into z
0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.260 * [taylor]: Taking taylor expansion of y in y
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.261 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.261 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.261 * [taylor]: Taking taylor expansion of 1/4 in y
0.261 * [backup-simplify]: Simplify 1/4 into 1/4
0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.261 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.261 * [taylor]: Taking taylor expansion of y in y
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.262 * [taylor]: Taking taylor expansion of 1/4 in y
0.262 * [backup-simplify]: Simplify 1/4 into 1/4
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.262 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.262 * [taylor]: Taking taylor expansion of z in y
0.262 * [backup-simplify]: Simplify z into z
0.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.263 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.263 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.264 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.275 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.277 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.277 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.278 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.278 * [taylor]: Taking taylor expansion of 0 in z
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [taylor]: Taking taylor expansion of 0 in z
0.278 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.282 * [taylor]: Taking taylor expansion of 0 in z
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [taylor]: Taking taylor expansion of 0 in z
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [taylor]: Taking taylor expansion of 0 in z
0.282 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.285 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
0.285 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.285 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.285 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.285 * [taylor]: Taking taylor expansion of x in y
0.285 * [backup-simplify]: Simplify x into x
0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.285 * [taylor]: Taking taylor expansion of y in x
0.285 * [backup-simplify]: Simplify y into y
0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.286 * [taylor]: Taking taylor expansion of y in x
0.286 * [backup-simplify]: Simplify y into y
0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.286 * [taylor]: Taking taylor expansion of x in x
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.286 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.286 * [taylor]: Taking taylor expansion of y in y
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in y
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.288 * [backup-simplify]: Simplify (* 1 1) into 1
0.288 * [backup-simplify]: Simplify (+ 0 1) into 1
0.288 * [taylor]: Taking taylor expansion of 1 in y
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [taylor]: Taking taylor expansion of 0 in y
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [taylor]: Taking taylor expansion of 0 in y
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.295 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.295 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.295 * [taylor]: Taking taylor expansion of y in y
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.296 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.296 * [taylor]: Taking taylor expansion of x in y
0.296 * [backup-simplify]: Simplify x into x
0.296 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.296 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.296 * [taylor]: Taking taylor expansion of y in x
0.296 * [backup-simplify]: Simplify y into y
0.296 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.297 * [taylor]: Taking taylor expansion of x in x
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.298 * [taylor]: Taking taylor expansion of y in x
0.298 * [backup-simplify]: Simplify y into y
0.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [backup-simplify]: Simplify (+ 0 1) into 1
0.299 * [taylor]: Taking taylor expansion of 1 in y
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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
0.304 * [backup-simplify]: Simplify (* 1 1) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [taylor]: Taking taylor expansion of 0 in y
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.312 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.315 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.315 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.315 * [taylor]: Taking taylor expansion of y in y
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.316 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.316 * [taylor]: Taking taylor expansion of x in y
0.316 * [backup-simplify]: Simplify x into x
0.316 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.316 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.317 * [taylor]: Taking taylor expansion of y in x
0.317 * [backup-simplify]: Simplify y into y
0.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.317 * [taylor]: Taking taylor expansion of x in x
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [backup-simplify]: Simplify y into y
0.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (* 1 1) into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [backup-simplify]: Simplify (+ 0 1) into 1
0.320 * [taylor]: Taking taylor expansion of 1 in y
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) 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 0) (* 0 1))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.324 * [taylor]: Taking taylor expansion of y in y
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [taylor]: Taking taylor expansion of 0 in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [taylor]: Taking taylor expansion of 0 in y
0.333 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.338 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.338 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.338 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
0.338 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.338 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.338 * [taylor]: Taking taylor expansion of y in z
0.338 * [backup-simplify]: Simplify y into y
0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.338 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.338 * [taylor]: Taking taylor expansion of x in z
0.338 * [backup-simplify]: Simplify x into x
0.338 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.338 * [taylor]: Taking taylor expansion of z in z
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.339 * [taylor]: Taking taylor expansion of y in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.339 * [taylor]: Taking taylor expansion of x in y
0.339 * [backup-simplify]: Simplify x into x
0.339 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.339 * [taylor]: Taking taylor expansion of z in y
0.339 * [backup-simplify]: Simplify z into z
0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.339 * [taylor]: Taking taylor expansion of y in x
0.339 * [backup-simplify]: Simplify y into y
0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.339 * [taylor]: Taking taylor expansion of x in x
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.339 * [taylor]: Taking taylor expansion of z in x
0.339 * [backup-simplify]: Simplify z into z
0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.339 * [taylor]: Taking taylor expansion of y in x
0.339 * [backup-simplify]: Simplify y into y
0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.339 * [taylor]: Taking taylor expansion of x in x
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.339 * [taylor]: Taking taylor expansion of z in x
0.339 * [backup-simplify]: Simplify z into z
0.340 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.340 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.340 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.340 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 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
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
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)
0.341 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.341 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.341 * [taylor]: Taking taylor expansion of z in z
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.341 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in y
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [taylor]: Taking taylor expansion of 0 in z
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in z
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.344 * [backup-simplify]: Simplify (* 1 1) into 1
0.344 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.344 * [backup-simplify]: Simplify (+ 1 0) into 1
0.345 * [backup-simplify]: Simplify (+ 0 1) into 1
0.345 * [taylor]: Taking taylor expansion of 1 in y
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of 1 in z
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of 0 in z
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.346 * [taylor]: Taking taylor expansion of 1 in z
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.348 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.348 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.348 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.348 * [taylor]: Taking taylor expansion of y in z
0.348 * [backup-simplify]: Simplify y into y
0.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.349 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.349 * [taylor]: Taking taylor expansion of x in z
0.349 * [backup-simplify]: Simplify x into x
0.349 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.349 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.349 * [taylor]: Taking taylor expansion of z in z
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.350 * [taylor]: Taking taylor expansion of y in y
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.350 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.350 * [taylor]: Taking taylor expansion of x in y
0.350 * [backup-simplify]: Simplify x into x
0.350 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.351 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.351 * [taylor]: Taking taylor expansion of z in y
0.351 * [backup-simplify]: Simplify z into z
0.351 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.351 * [taylor]: Taking taylor expansion of y in x
0.351 * [backup-simplify]: Simplify y into y
0.351 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.351 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.351 * [taylor]: Taking taylor expansion of x in x
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
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.352 * [taylor]: Taking taylor expansion of z in x
0.352 * [backup-simplify]: Simplify z into z
0.352 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.352 * [taylor]: Taking taylor expansion of y in x
0.352 * [backup-simplify]: Simplify y into y
0.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.352 * [taylor]: Taking taylor expansion of x in x
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.353 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.353 * [taylor]: Taking taylor expansion of z in x
0.353 * [backup-simplify]: Simplify z into z
0.353 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.354 * [backup-simplify]: Simplify (+ 0 1) into 1
0.354 * [taylor]: Taking taylor expansion of 1 in y
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [taylor]: Taking taylor expansion of 0 in y
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.357 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.357 * [taylor]: Taking taylor expansion of y in y
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.358 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.358 * [taylor]: Taking taylor expansion of z in y
0.358 * [backup-simplify]: Simplify z into z
0.358 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.358 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.358 * [backup-simplify]: Simplify (+ 1 0) into 1
0.358 * [taylor]: Taking taylor expansion of 1 in z
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [taylor]: Taking taylor expansion of 1 in z
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [taylor]: Taking taylor expansion of 0 in y
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [taylor]: Taking taylor expansion of 0 in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [taylor]: Taking taylor expansion of 0 in z
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [taylor]: Taking taylor expansion of 0 in y
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.367 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.367 * [taylor]: Taking taylor expansion of z in z
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [taylor]: Taking taylor expansion of 0 in z
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [taylor]: Taking taylor expansion of 0 in z
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.369 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
0.369 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.369 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.369 * [taylor]: Taking taylor expansion of y in z
0.369 * [backup-simplify]: Simplify y into y
0.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.369 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.369 * [taylor]: Taking taylor expansion of x in z
0.369 * [backup-simplify]: Simplify x into x
0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.369 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.369 * [taylor]: Taking taylor expansion of z in z
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.370 * [taylor]: Taking taylor expansion of y in y
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.371 * [taylor]: Taking taylor expansion of x in y
0.371 * [backup-simplify]: Simplify x into x
0.371 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.371 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.371 * [taylor]: Taking taylor expansion of z in y
0.371 * [backup-simplify]: Simplify z into z
0.371 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.371 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.371 * [taylor]: Taking taylor expansion of y in x
0.371 * [backup-simplify]: Simplify y into y
0.371 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.371 * [taylor]: Taking taylor expansion of x in x
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.372 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.372 * [taylor]: Taking taylor expansion of z in x
0.372 * [backup-simplify]: Simplify z into z
0.372 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.372 * [taylor]: Taking taylor expansion of y in x
0.372 * [backup-simplify]: Simplify y into y
0.372 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.372 * [taylor]: Taking taylor expansion of x in x
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (* 1 1) into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.373 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.373 * [taylor]: Taking taylor expansion of z in x
0.373 * [backup-simplify]: Simplify z into z
0.373 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.373 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.374 * [backup-simplify]: Simplify (+ 1 0) into 1
0.374 * [backup-simplify]: Simplify (+ 0 1) into 1
0.374 * [taylor]: Taking taylor expansion of 1 in y
0.374 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.377 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (/ 1 1) into 1
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.378 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.378 * [taylor]: Taking taylor expansion of z in y
0.378 * [backup-simplify]: Simplify z into z
0.378 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.378 * [backup-simplify]: Simplify (+ 1 0) into 1
0.378 * [taylor]: Taking taylor expansion of 1 in z
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [taylor]: Taking taylor expansion of 1 in z
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.380 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [taylor]: Taking taylor expansion of 0 in y
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.382 * [taylor]: Taking taylor expansion of 0 in z
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [taylor]: Taking taylor expansion of 0 in z
0.382 * [backup-simplify]: Simplify 0 into 0
0.382 * [taylor]: Taking taylor expansion of 0 in z
0.382 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.385 * [taylor]: Taking taylor expansion of 0 in y
0.385 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.387 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.387 * [taylor]: Taking taylor expansion of z in z
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [backup-simplify]: Simplify 1 into 1
0.388 * [taylor]: Taking taylor expansion of 0 in z
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [taylor]: Taking taylor expansion of 0 in z
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify 1 into 1
0.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.389 * * * [progress]: simplifying candidates
0.389 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (expm1 (+ (+ (* x x) (* y y)) (* z z)))
  (log1p (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
0.391 * * [simplify]: iteration 0: 80 enodes
0.411 * * [simplify]: iteration 1: 253 enodes
0.550 * * [simplify]: iteration 2: 1572 enodes
1.225 * * [simplify]: iteration complete: 5000 enodes
1.225 * * [simplify]: Extracting #0: cost 46 inf + 0
1.226 * * [simplify]: Extracting #1: cost 509 inf + 4
1.235 * * [simplify]: Extracting #2: cost 1519 inf + 620
1.252 * * [simplify]: Extracting #3: cost 776 inf + 5760
1.261 * * [simplify]: Extracting #4: cost 155 inf + 11675
1.269 * * [simplify]: Extracting #5: cost 19 inf + 12378
1.277 * * [simplify]: Extracting #6: cost 0 inf + 12525
1.285 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x (fma y y (* z z)))))
  (log1p (sqrt (fma x x (fma y y (* z z)))))
  (log (sqrt (fma x x (fma y y (* z z)))))
  (exp (sqrt (fma x x (fma y y (* z z)))))
  (* (cbrt (sqrt (fma x x (fma y y (* z z))))) (cbrt (sqrt (fma x x (fma y y (* z z))))))
  (cbrt (sqrt (fma x x (fma y y (* z z)))))
  (pow (sqrt (fma x x (fma y y (* z z)))) 3)
  (fabs (cbrt (fma x x (fma y y (* z z)))))
  (sqrt (cbrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  1
  (sqrt (fma x x (fma y y (* z z))))
  (hypot (pow z 3) (pow (fma x x (* y y)) 3/2))
  (sqrt (fma (* z z) (fma z z (- (fma x x (* y y)))) (* (fma x x (* y y)) (fma x x (* y y)))))
  (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4)))
  (sqrt (fma x x (fma y y (- (* z z)))))
  1/2
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (+ (pow y 6) (pow x 6))
  (fma (* y y) (* (+ y x) (- y x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (fma y (- y) (* x x))
  (expm1 (fma x x (fma y y (* z z))))
  (log1p (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (log (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (* (cbrt (fma x x (fma y y (* z z)))) (cbrt (fma x x (fma y y (* z z)))))
  (cbrt (fma x x (fma y y (* z z))))
  (pow (fma x x (fma y y (* z z))) 3)
  (sqrt (fma x x (fma y y (* z z))))
  (sqrt (fma x x (fma y y (* z z))))
  (+ (pow (fma x x (* y y)) 3) (pow z 6))
  (fma (* z z) (fma z z (- (fma x x (* y y)))) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4))
  (fma x x (fma y y (- (* z z))))
  (fma y y (* z z))
  z
  x
  (- x)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
1.286 * * * [progress]: adding candidates to table
1.591 * * [progress]: iteration 2 / 4
1.591 * * * [progress]: picking best candidate
1.620 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
1.620 * * * [progress]: localizing error
1.633 * * * [progress]: generating rewritten candidates
1.634 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
1.641 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
1.647 * * * [progress]: generating series expansions
1.647 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
1.648 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.648 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.648 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.648 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.648 * [taylor]: Taking taylor expansion of y in y
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify 1 into 1
1.648 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.648 * [taylor]: Taking taylor expansion of x in y
1.648 * [backup-simplify]: Simplify x into x
1.648 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.648 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.648 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.648 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.649 * [backup-simplify]: Simplify (+ 0 0) into 0
1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.649 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.649 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.649 * [taylor]: Taking taylor expansion of y in x
1.649 * [backup-simplify]: Simplify y into y
1.649 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.649 * [taylor]: Taking taylor expansion of x in x
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 1 into 1
1.649 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.649 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.649 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.649 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.650 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.650 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.650 * [taylor]: Taking taylor expansion of y in x
1.650 * [backup-simplify]: Simplify y into y
1.650 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.650 * [taylor]: Taking taylor expansion of x in x
1.650 * [backup-simplify]: Simplify 0 into 0
1.650 * [backup-simplify]: Simplify 1 into 1
1.650 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.650 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.650 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.650 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.651 * [backup-simplify]: Simplify (+ 0 0) into 0
1.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.651 * [taylor]: Taking taylor expansion of y in y
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [taylor]: Taking taylor expansion of 0 in y
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify 1 into 1
1.651 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.652 * [backup-simplify]: Simplify (* 1 1) into 1
1.652 * [backup-simplify]: Simplify (+ 0 1) into 1
1.653 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.653 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.653 * [taylor]: Taking taylor expansion of 1/2 in y
1.653 * [backup-simplify]: Simplify 1/2 into 1/2
1.653 * [taylor]: Taking taylor expansion of y in y
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.655 * [backup-simplify]: Simplify (+ 0 0) into 0
1.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.655 * [taylor]: Taking taylor expansion of 0 in y
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.656 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.656 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.656 * [taylor]: Taking taylor expansion of y in y
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (* 1 1) into 1
1.657 * [backup-simplify]: Simplify (/ 1 1) into 1
1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.657 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.657 * [taylor]: Taking taylor expansion of x in y
1.657 * [backup-simplify]: Simplify x into x
1.657 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.657 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.657 * [backup-simplify]: Simplify (+ 1 0) into 1
1.658 * [backup-simplify]: Simplify (sqrt 1) into 1
1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.659 * [backup-simplify]: Simplify (+ 0 0) into 0
1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.659 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.659 * [taylor]: Taking taylor expansion of y in x
1.659 * [backup-simplify]: Simplify y into y
1.659 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.660 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.660 * [taylor]: Taking taylor expansion of x in x
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.660 * [backup-simplify]: Simplify (* 1 1) into 1
1.660 * [backup-simplify]: Simplify (/ 1 1) into 1
1.661 * [backup-simplify]: Simplify (+ 0 1) into 1
1.661 * [backup-simplify]: Simplify (sqrt 1) into 1
1.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.662 * [backup-simplify]: Simplify (+ 0 0) into 0
1.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.663 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.663 * [taylor]: Taking taylor expansion of y in x
1.663 * [backup-simplify]: Simplify y into y
1.663 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.663 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.663 * [taylor]: Taking taylor expansion of x in x
1.663 * [backup-simplify]: Simplify 0 into 0
1.663 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (* 1 1) into 1
1.664 * [backup-simplify]: Simplify (/ 1 1) into 1
1.664 * [backup-simplify]: Simplify (+ 0 1) into 1
1.664 * [backup-simplify]: Simplify (sqrt 1) into 1
1.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.666 * [taylor]: Taking taylor expansion of 1 in y
1.666 * [backup-simplify]: Simplify 1 into 1
1.666 * [taylor]: Taking taylor expansion of 0 in y
1.666 * [backup-simplify]: Simplify 0 into 0
1.666 * [backup-simplify]: Simplify 1 into 1
1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.667 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.669 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.669 * [taylor]: Taking taylor expansion of 1/2 in y
1.669 * [backup-simplify]: Simplify 1/2 into 1/2
1.669 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.669 * [taylor]: Taking taylor expansion of y in y
1.669 * [backup-simplify]: Simplify 0 into 0
1.669 * [backup-simplify]: Simplify 1 into 1
1.669 * [backup-simplify]: Simplify (* 1 1) into 1
1.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.672 * [backup-simplify]: Simplify (+ 0 0) into 0
1.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.673 * [taylor]: Taking taylor expansion of 0 in y
1.673 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.675 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.675 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.675 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.675 * [taylor]: Taking taylor expansion of y in y
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify 1 into 1
1.675 * [backup-simplify]: Simplify (* 1 1) into 1
1.675 * [backup-simplify]: Simplify (/ 1 1) into 1
1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.675 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.675 * [taylor]: Taking taylor expansion of x in y
1.675 * [backup-simplify]: Simplify x into x
1.675 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.676 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.676 * [backup-simplify]: Simplify (+ 1 0) into 1
1.676 * [backup-simplify]: Simplify (sqrt 1) into 1
1.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.677 * [backup-simplify]: Simplify (+ 0 0) into 0
1.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.678 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.678 * [taylor]: Taking taylor expansion of y in x
1.678 * [backup-simplify]: Simplify y into y
1.678 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.678 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.678 * [taylor]: Taking taylor expansion of x in x
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify 1 into 1
1.679 * [backup-simplify]: Simplify (* 1 1) into 1
1.679 * [backup-simplify]: Simplify (/ 1 1) into 1
1.679 * [backup-simplify]: Simplify (+ 0 1) into 1
1.679 * [backup-simplify]: Simplify (sqrt 1) into 1
1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.681 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.681 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.681 * [taylor]: Taking taylor expansion of y in x
1.681 * [backup-simplify]: Simplify y into y
1.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.681 * [taylor]: Taking taylor expansion of x in x
1.681 * [backup-simplify]: Simplify 0 into 0
1.681 * [backup-simplify]: Simplify 1 into 1
1.682 * [backup-simplify]: Simplify (* 1 1) into 1
1.682 * [backup-simplify]: Simplify (/ 1 1) into 1
1.682 * [backup-simplify]: Simplify (+ 0 1) into 1
1.683 * [backup-simplify]: Simplify (sqrt 1) into 1
1.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.684 * [backup-simplify]: Simplify (+ 0 0) into 0
1.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.684 * [taylor]: Taking taylor expansion of 1 in y
1.684 * [backup-simplify]: Simplify 1 into 1
1.684 * [taylor]: Taking taylor expansion of 0 in y
1.684 * [backup-simplify]: Simplify 0 into 0
1.684 * [backup-simplify]: Simplify 1 into 1
1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.692 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.693 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.693 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.694 * [taylor]: Taking taylor expansion of 1/2 in y
1.694 * [backup-simplify]: Simplify 1/2 into 1/2
1.694 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.694 * [taylor]: Taking taylor expansion of y in y
1.694 * [backup-simplify]: Simplify 0 into 0
1.694 * [backup-simplify]: Simplify 1 into 1
1.694 * [backup-simplify]: Simplify (* 1 1) into 1
1.695 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.696 * [backup-simplify]: Simplify 0 into 0
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [backup-simplify]: Simplify 0 into 0
1.697 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.701 * [backup-simplify]: Simplify (+ 0 0) into 0
1.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.702 * [taylor]: Taking taylor expansion of 0 in y
1.702 * [backup-simplify]: Simplify 0 into 0
1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.704 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
1.705 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.705 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.705 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.705 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.705 * [taylor]: Taking taylor expansion of y in y
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.705 * [taylor]: Taking taylor expansion of x in y
1.705 * [backup-simplify]: Simplify x into x
1.705 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.705 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.705 * [taylor]: Taking taylor expansion of y in x
1.705 * [backup-simplify]: Simplify y into y
1.705 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.705 * [taylor]: Taking taylor expansion of x in x
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.705 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.705 * [taylor]: Taking taylor expansion of y in x
1.705 * [backup-simplify]: Simplify y into y
1.705 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.705 * [taylor]: Taking taylor expansion of x in x
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.706 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.706 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.706 * [taylor]: Taking taylor expansion of y in y
1.706 * [backup-simplify]: Simplify 0 into 0
1.706 * [backup-simplify]: Simplify 1 into 1
1.706 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.707 * [backup-simplify]: Simplify (+ 0 0) into 0
1.707 * [taylor]: Taking taylor expansion of 0 in y
1.707 * [backup-simplify]: Simplify 0 into 0
1.707 * [backup-simplify]: Simplify 0 into 0
1.707 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.708 * [backup-simplify]: Simplify (* 1 1) into 1
1.708 * [backup-simplify]: Simplify (+ 0 1) into 1
1.708 * [taylor]: Taking taylor expansion of 1 in y
1.708 * [backup-simplify]: Simplify 1 into 1
1.708 * [backup-simplify]: Simplify 1 into 1
1.709 * [backup-simplify]: Simplify 0 into 0
1.709 * [backup-simplify]: Simplify (* 1 1) into 1
1.709 * [backup-simplify]: Simplify 1 into 1
1.710 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.711 * [backup-simplify]: Simplify (+ 0 0) into 0
1.711 * [taylor]: Taking taylor expansion of 0 in y
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 0 into 0
1.711 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.712 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.715 * [backup-simplify]: Simplify (+ 0 0) into 0
1.715 * [taylor]: Taking taylor expansion of 0 in y
1.715 * [backup-simplify]: Simplify 0 into 0
1.715 * [backup-simplify]: Simplify 0 into 0
1.715 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.716 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.716 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.716 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.716 * [taylor]: Taking taylor expansion of y in y
1.716 * [backup-simplify]: Simplify 0 into 0
1.716 * [backup-simplify]: Simplify 1 into 1
1.716 * [backup-simplify]: Simplify (* 1 1) into 1
1.717 * [backup-simplify]: Simplify (/ 1 1) into 1
1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.717 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.717 * [taylor]: Taking taylor expansion of x in y
1.717 * [backup-simplify]: Simplify x into x
1.717 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.717 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.717 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.717 * [taylor]: Taking taylor expansion of y in x
1.717 * [backup-simplify]: Simplify y into y
1.717 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.717 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.717 * [taylor]: Taking taylor expansion of x in x
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.718 * [backup-simplify]: Simplify (* 1 1) into 1
1.718 * [backup-simplify]: Simplify (/ 1 1) into 1
1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.718 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.718 * [taylor]: Taking taylor expansion of y in x
1.718 * [backup-simplify]: Simplify y into y
1.718 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.718 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.719 * [taylor]: Taking taylor expansion of x in x
1.719 * [backup-simplify]: Simplify 0 into 0
1.719 * [backup-simplify]: Simplify 1 into 1
1.719 * [backup-simplify]: Simplify (* 1 1) into 1
1.719 * [backup-simplify]: Simplify (/ 1 1) into 1
1.719 * [backup-simplify]: Simplify (+ 0 1) into 1
1.720 * [taylor]: Taking taylor expansion of 1 in y
1.720 * [backup-simplify]: Simplify 1 into 1
1.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.721 * [backup-simplify]: Simplify (+ 0 0) into 0
1.721 * [taylor]: Taking taylor expansion of 0 in y
1.721 * [backup-simplify]: Simplify 0 into 0
1.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.722 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.722 * [taylor]: Taking taylor expansion of y in y
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 1 into 1
1.723 * [backup-simplify]: Simplify (* 1 1) into 1
1.723 * [backup-simplify]: Simplify (/ 1 1) into 1
1.723 * [backup-simplify]: Simplify 1 into 1
1.723 * [backup-simplify]: Simplify 1 into 1
1.723 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ 0 0) into 0
1.725 * [taylor]: Taking taylor expansion of 0 in y
1.725 * [backup-simplify]: Simplify 0 into 0
1.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify 0 into 0
1.726 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.728 * [backup-simplify]: Simplify (+ 0 0) into 0
1.728 * [taylor]: Taking taylor expansion of 0 in y
1.728 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.729 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.730 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.730 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.730 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.730 * [taylor]: Taking taylor expansion of y in y
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 1 into 1
1.731 * [backup-simplify]: Simplify (* 1 1) into 1
1.731 * [backup-simplify]: Simplify (/ 1 1) into 1
1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.731 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.731 * [taylor]: Taking taylor expansion of x in y
1.731 * [backup-simplify]: Simplify x into x
1.731 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.731 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.731 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.731 * [taylor]: Taking taylor expansion of y in x
1.731 * [backup-simplify]: Simplify y into y
1.731 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.731 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.731 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.731 * [taylor]: Taking taylor expansion of x in x
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.732 * [backup-simplify]: Simplify (* 1 1) into 1
1.732 * [backup-simplify]: Simplify (/ 1 1) into 1
1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.732 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.732 * [taylor]: Taking taylor expansion of y in x
1.732 * [backup-simplify]: Simplify y into y
1.732 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.732 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.732 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.732 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.732 * [taylor]: Taking taylor expansion of x in x
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.733 * [backup-simplify]: Simplify (* 1 1) into 1
1.733 * [backup-simplify]: Simplify (/ 1 1) into 1
1.733 * [backup-simplify]: Simplify (+ 0 1) into 1
1.733 * [taylor]: Taking taylor expansion of 1 in y
1.733 * [backup-simplify]: Simplify 1 into 1
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.734 * [backup-simplify]: Simplify (+ 0 0) into 0
1.734 * [taylor]: Taking taylor expansion of 0 in y
1.734 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.736 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.736 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.736 * [taylor]: Taking taylor expansion of y in y
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify 1 into 1
1.736 * [backup-simplify]: Simplify (* 1 1) into 1
1.736 * [backup-simplify]: Simplify (/ 1 1) into 1
1.736 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.738 * [backup-simplify]: Simplify (+ 0 0) into 0
1.738 * [taylor]: Taking taylor expansion of 0 in y
1.738 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.739 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.742 * [backup-simplify]: Simplify (+ 0 0) into 0
1.742 * [taylor]: Taking taylor expansion of 0 in y
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify 0 into 0
1.743 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.743 * * * [progress]: simplifying candidates
1.744 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
1.745 * * [simplify]: iteration 0: 52 enodes
1.755 * * [simplify]: iteration 1: 151 enodes
1.858 * * [simplify]: iteration 2: 823 enodes
2.360 * * [simplify]: iteration complete: 5001 enodes
2.360 * * [simplify]: Extracting #0: cost 32 inf + 0
2.361 * * [simplify]: Extracting #1: cost 408 inf + 4
2.370 * * [simplify]: Extracting #2: cost 1963 inf + 649
2.383 * * [simplify]: Extracting #3: cost 686 inf + 9532
2.396 * * [simplify]: Extracting #4: cost 89 inf + 14772
2.410 * * [simplify]: Extracting #5: cost 19 inf + 14972
2.422 * * [simplify]: Extracting #6: cost 0 inf + 15142
2.434 * [simplify]: Simplified to:
  (expm1 (hypot y x))
  (log1p (hypot y x))
  (log (hypot y x))
  (exp (hypot y x))
  (* (cbrt (hypot y x)) (cbrt (hypot y x)))
  (cbrt (hypot y x))
  (pow (hypot y x) 3)
  (fabs (cbrt (fma y y (* x x))))
  (sqrt (cbrt (fma y y (* x x))))
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  1
  (hypot y x)
  (hypot (pow x 3) (pow y 3))
  (sqrt (fma (* (+ y x) (- y x)) (pow y 2) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  (expm1 (fma y y (* x x)))
  (log1p (fma y y (* x x)))
  (exp (fma y y (* x x)))
  (* 2 (log (hypot y x)))
  (exp (fma y y (* x x)))
  (* (cbrt (fma y y (* x x))) (cbrt (fma y y (* x x))))
  (cbrt (fma y y (* x x)))
  (pow (fma y y (* x x)) 3)
  (hypot y x)
  (hypot y x)
  (+ (pow y 6) (pow x 6))
  (fma (* (+ y x) (- y x)) (pow y 2) (pow x 4))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  y
  x
  (- x)
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y y (* x x))
2.436 * * * [progress]: adding candidates to table
2.680 * * [progress]: iteration 3 / 4
2.680 * * * [progress]: picking best candidate
2.694 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (hypot x y) z))>
2.694 * * * [progress]: localizing error
2.705 * * * [progress]: generating rewritten candidates
2.705 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
2.706 * * * [progress]: generating series expansions
2.706 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
2.706 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
2.706 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
2.706 * [taylor]: Taking taylor expansion of (hypot x y) in y
2.706 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.706 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
2.706 * [taylor]: Taking taylor expansion of (* x x) in y
2.706 * [taylor]: Taking taylor expansion of x in y
2.706 * [backup-simplify]: Simplify x into x
2.706 * [taylor]: Taking taylor expansion of x in y
2.706 * [backup-simplify]: Simplify x into x
2.706 * [taylor]: Taking taylor expansion of (* y y) in y
2.706 * [taylor]: Taking taylor expansion of y in y
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [taylor]: Taking taylor expansion of y in y
2.706 * [backup-simplify]: Simplify 0 into 0
2.707 * [backup-simplify]: Simplify 1 into 1
2.707 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.707 * [backup-simplify]: Simplify (* 0 0) into 0
2.707 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.708 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.708 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.708 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.709 * [backup-simplify]: Simplify (+ 0 0) into 0
2.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.709 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.709 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.709 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.709 * [taylor]: Taking taylor expansion of (* x x) in x
2.709 * [taylor]: Taking taylor expansion of x in x
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [taylor]: Taking taylor expansion of x in x
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [taylor]: Taking taylor expansion of (* y y) in x
2.709 * [taylor]: Taking taylor expansion of y in x
2.709 * [backup-simplify]: Simplify y into y
2.709 * [taylor]: Taking taylor expansion of y in x
2.709 * [backup-simplify]: Simplify y into y
2.710 * [backup-simplify]: Simplify (* 0 0) into 0
2.710 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.710 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.710 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.711 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.711 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.711 * [backup-simplify]: Simplify (+ 0 0) into 0
2.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.711 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.711 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.712 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.712 * [taylor]: Taking taylor expansion of (* x x) in x
2.712 * [taylor]: Taking taylor expansion of x in x
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.712 * [taylor]: Taking taylor expansion of x in x
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.712 * [taylor]: Taking taylor expansion of (* y y) in x
2.712 * [taylor]: Taking taylor expansion of y in x
2.712 * [backup-simplify]: Simplify y into y
2.712 * [taylor]: Taking taylor expansion of y in x
2.712 * [backup-simplify]: Simplify y into y
2.712 * [backup-simplify]: Simplify (* 0 0) into 0
2.712 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.712 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.713 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.713 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.713 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.714 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.714 * [taylor]: Taking taylor expansion of y in y
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [taylor]: Taking taylor expansion of 0 in y
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.715 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.716 * [backup-simplify]: Simplify (+ 1 0) into 1
2.716 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.716 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.716 * [taylor]: Taking taylor expansion of 1/2 in y
2.716 * [backup-simplify]: Simplify 1/2 into 1/2
2.717 * [taylor]: Taking taylor expansion of y in y
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 1 into 1
2.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.720 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.720 * [backup-simplify]: Simplify (+ 0 0) into 0
2.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.720 * [taylor]: Taking taylor expansion of 0 in y
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.721 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
2.721 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
2.721 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.722 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.722 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.722 * [taylor]: Taking taylor expansion of x in y
2.722 * [backup-simplify]: Simplify x into x
2.722 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.722 * [taylor]: Taking taylor expansion of x in y
2.722 * [backup-simplify]: Simplify x into x
2.722 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.722 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.722 * [taylor]: Taking taylor expansion of y in y
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.722 * [backup-simplify]: Simplify (/ 1 1) into 1
2.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.722 * [taylor]: Taking taylor expansion of y in y
2.722 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (/ 1 1) into 1
2.723 * [backup-simplify]: Simplify (* 1 1) into 1
2.724 * [backup-simplify]: Simplify (+ 0 1) into 1
2.724 * [backup-simplify]: Simplify (sqrt 1) into 1
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.726 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.727 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.727 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.727 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.727 * [taylor]: Taking taylor expansion of x in x
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (/ 1 1) into 1
2.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.728 * [taylor]: Taking taylor expansion of x in x
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 1 into 1
2.728 * [backup-simplify]: Simplify (/ 1 1) into 1
2.728 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.728 * [taylor]: Taking taylor expansion of y in x
2.728 * [backup-simplify]: Simplify y into y
2.728 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.728 * [taylor]: Taking taylor expansion of y in x
2.728 * [backup-simplify]: Simplify y into y
2.728 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.729 * [backup-simplify]: Simplify (* 1 1) into 1
2.729 * [backup-simplify]: Simplify (+ 1 0) into 1
2.730 * [backup-simplify]: Simplify (sqrt 1) into 1
2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.737 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.737 * [taylor]: Taking taylor expansion of x in x
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.738 * [taylor]: Taking taylor expansion of x in x
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.738 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.738 * [taylor]: Taking taylor expansion of y in x
2.739 * [backup-simplify]: Simplify y into y
2.739 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.739 * [taylor]: Taking taylor expansion of y in x
2.739 * [backup-simplify]: Simplify y into y
2.739 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.739 * [backup-simplify]: Simplify (* 1 1) into 1
2.740 * [backup-simplify]: Simplify (+ 1 0) into 1
2.740 * [backup-simplify]: Simplify (sqrt 1) into 1
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.743 * [taylor]: Taking taylor expansion of 1 in y
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of 0 in y
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.746 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.748 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.748 * [taylor]: Taking taylor expansion of 1/2 in y
2.748 * [backup-simplify]: Simplify 1/2 into 1/2
2.748 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.748 * [taylor]: Taking taylor expansion of y in y
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (* 1 1) into 1
2.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.753 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.753 * [backup-simplify]: Simplify (+ 0 0) into 0
2.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.754 * [taylor]: Taking taylor expansion of 0 in y
2.754 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.756 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
2.756 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
2.756 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.756 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.756 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.756 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.757 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.757 * [taylor]: Taking taylor expansion of -1 in y
2.757 * [backup-simplify]: Simplify -1 into -1
2.757 * [taylor]: Taking taylor expansion of x in y
2.757 * [backup-simplify]: Simplify x into x
2.757 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.757 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.757 * [taylor]: Taking taylor expansion of -1 in y
2.757 * [backup-simplify]: Simplify -1 into -1
2.757 * [taylor]: Taking taylor expansion of x in y
2.757 * [backup-simplify]: Simplify x into x
2.757 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.757 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.757 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.757 * [taylor]: Taking taylor expansion of -1 in y
2.757 * [backup-simplify]: Simplify -1 into -1
2.757 * [taylor]: Taking taylor expansion of y in y
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (/ -1 1) into -1
2.758 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.758 * [taylor]: Taking taylor expansion of -1 in y
2.758 * [backup-simplify]: Simplify -1 into -1
2.758 * [taylor]: Taking taylor expansion of y in y
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (/ -1 1) into -1
2.758 * [backup-simplify]: Simplify (* -1 -1) into 1
2.759 * [backup-simplify]: Simplify (+ 0 1) into 1
2.759 * [backup-simplify]: Simplify (sqrt 1) into 1
2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.762 * [backup-simplify]: Simplify (+ 0 0) into 0
2.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.762 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.763 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.763 * [taylor]: Taking taylor expansion of -1 in x
2.763 * [backup-simplify]: Simplify -1 into -1
2.763 * [taylor]: Taking taylor expansion of x in x
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 1 into 1
2.763 * [backup-simplify]: Simplify (/ -1 1) into -1
2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.763 * [taylor]: Taking taylor expansion of -1 in x
2.763 * [backup-simplify]: Simplify -1 into -1
2.763 * [taylor]: Taking taylor expansion of x in x
2.763 * [backup-simplify]: Simplify 0 into 0
2.763 * [backup-simplify]: Simplify 1 into 1
2.764 * [backup-simplify]: Simplify (/ -1 1) into -1
2.764 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.764 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.764 * [taylor]: Taking taylor expansion of -1 in x
2.764 * [backup-simplify]: Simplify -1 into -1
2.764 * [taylor]: Taking taylor expansion of y in x
2.764 * [backup-simplify]: Simplify y into y
2.764 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.764 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.764 * [taylor]: Taking taylor expansion of -1 in x
2.764 * [backup-simplify]: Simplify -1 into -1
2.764 * [taylor]: Taking taylor expansion of y in x
2.764 * [backup-simplify]: Simplify y into y
2.764 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.764 * [backup-simplify]: Simplify (* -1 -1) into 1
2.765 * [backup-simplify]: Simplify (+ 1 0) into 1
2.765 * [backup-simplify]: Simplify (sqrt 1) into 1
2.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.767 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.768 * [backup-simplify]: Simplify (+ 0 0) into 0
2.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.768 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.768 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.768 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.768 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.769 * [taylor]: Taking taylor expansion of -1 in x
2.769 * [backup-simplify]: Simplify -1 into -1
2.769 * [taylor]: Taking taylor expansion of x in x
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (/ -1 1) into -1
2.769 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.769 * [taylor]: Taking taylor expansion of -1 in x
2.769 * [backup-simplify]: Simplify -1 into -1
2.769 * [taylor]: Taking taylor expansion of x in x
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify 1 into 1
2.770 * [backup-simplify]: Simplify (/ -1 1) into -1
2.770 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.770 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.770 * [taylor]: Taking taylor expansion of -1 in x
2.770 * [backup-simplify]: Simplify -1 into -1
2.770 * [taylor]: Taking taylor expansion of y in x
2.770 * [backup-simplify]: Simplify y into y
2.770 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.770 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.770 * [taylor]: Taking taylor expansion of -1 in x
2.770 * [backup-simplify]: Simplify -1 into -1
2.770 * [taylor]: Taking taylor expansion of y in x
2.770 * [backup-simplify]: Simplify y into y
2.770 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.770 * [backup-simplify]: Simplify (* -1 -1) into 1
2.771 * [backup-simplify]: Simplify (+ 1 0) into 1
2.771 * [backup-simplify]: Simplify (sqrt 1) into 1
2.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.774 * [taylor]: Taking taylor expansion of 1 in y
2.774 * [backup-simplify]: Simplify 1 into 1
2.774 * [taylor]: Taking taylor expansion of 0 in y
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [backup-simplify]: Simplify 1 into 1
2.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.777 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.777 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.779 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.779 * [taylor]: Taking taylor expansion of 1/2 in y
2.779 * [backup-simplify]: Simplify 1/2 into 1/2
2.779 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.779 * [taylor]: Taking taylor expansion of y in y
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 1 into 1
2.779 * [backup-simplify]: Simplify (* 1 1) into 1
2.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify 0 into 0
2.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.784 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.784 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.784 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.784 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.785 * [backup-simplify]: Simplify (+ 0 0) into 0
2.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.785 * [taylor]: Taking taylor expansion of 0 in y
2.785 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.787 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.787 * * * [progress]: simplifying candidates
2.788 * [simplify]: Simplifying:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (* -1 x)
2.788 * * [simplify]: iteration 0: 17 enodes
2.791 * * [simplify]: iteration 1: 22 enodes
2.795 * * [simplify]: iteration 2: 25 enodes
2.800 * * [simplify]: iteration 3: 30 enodes
2.807 * * [simplify]: iteration 4: 38 enodes
2.819 * * [simplify]: iteration 5: 72 enodes
2.840 * * [simplify]: iteration 6: 141 enodes
2.872 * * [simplify]: iteration 7: 324 enodes
3.042 * * [simplify]: iteration 8: 1049 enodes
3.933 * * [simplify]: iteration complete: 5001 enodes
3.933 * * [simplify]: Extracting #0: cost 12 inf + 0
3.933 * * [simplify]: Extracting #1: cost 198 inf + 2
3.937 * * [simplify]: Extracting #2: cost 1414 inf + 73
3.943 * * [simplify]: Extracting #3: cost 1506 inf + 138
3.949 * * [simplify]: Extracting #4: cost 882 inf + 7164
3.958 * * [simplify]: Extracting #5: cost 45 inf + 20851
3.964 * * [simplify]: Extracting #6: cost 0 inf + 21350
3.969 * * [simplify]: Extracting #7: cost 0 inf + 21348
3.974 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (- x)
3.974 * * * [progress]: adding candidates to table
4.055 * * [progress]: iteration 4 / 4
4.055 * * * [progress]: picking best candidate
4.060 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z))>
4.060 * * * [progress]: localizing error
4.078 * * * [progress]: generating rewritten candidates
4.078 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.094 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
4.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
4.098 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1)
4.101 * * * [progress]: generating series expansions
4.101 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.101 * [backup-simplify]: Simplify (* (sqrt (hypot x y)) (sqrt (hypot x y))) into (hypot x y)
4.101 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
4.101 * [taylor]: Taking taylor expansion of (hypot x y) in y
4.101 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.101 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
4.101 * [taylor]: Taking taylor expansion of (* x x) in y
4.101 * [taylor]: Taking taylor expansion of x in y
4.101 * [backup-simplify]: Simplify x into x
4.101 * [taylor]: Taking taylor expansion of x in y
4.101 * [backup-simplify]: Simplify x into x
4.101 * [taylor]: Taking taylor expansion of (* y y) in y
4.101 * [taylor]: Taking taylor expansion of y in y
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify 1 into 1
4.102 * [taylor]: Taking taylor expansion of y in y
4.102 * [backup-simplify]: Simplify 0 into 0
4.102 * [backup-simplify]: Simplify 1 into 1
4.102 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.102 * [backup-simplify]: Simplify (* 0 0) into 0
4.102 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.102 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.102 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.103 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.103 * [backup-simplify]: Simplify (+ 0 0) into 0
4.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.104 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.108 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.108 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.108 * [taylor]: Taking taylor expansion of (* x x) in x
4.108 * [taylor]: Taking taylor expansion of x in x
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [taylor]: Taking taylor expansion of x in x
4.108 * [backup-simplify]: Simplify 0 into 0
4.108 * [backup-simplify]: Simplify 1 into 1
4.108 * [taylor]: Taking taylor expansion of (* y y) in x
4.109 * [taylor]: Taking taylor expansion of y in x
4.109 * [backup-simplify]: Simplify y into y
4.109 * [taylor]: Taking taylor expansion of y in x
4.109 * [backup-simplify]: Simplify y into y
4.109 * [backup-simplify]: Simplify (* 0 0) into 0
4.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.110 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.110 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.110 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.111 * [backup-simplify]: Simplify (+ 0 0) into 0
4.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.111 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.111 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.111 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.111 * [taylor]: Taking taylor expansion of (* x x) in x
4.111 * [taylor]: Taking taylor expansion of x in x
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 1 into 1
4.111 * [taylor]: Taking taylor expansion of x in x
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 1 into 1
4.111 * [taylor]: Taking taylor expansion of (* y y) in x
4.111 * [taylor]: Taking taylor expansion of y in x
4.111 * [backup-simplify]: Simplify y into y
4.111 * [taylor]: Taking taylor expansion of y in x
4.112 * [backup-simplify]: Simplify y into y
4.112 * [backup-simplify]: Simplify (* 0 0) into 0
4.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.112 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.112 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.113 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.114 * [backup-simplify]: Simplify (+ 0 0) into 0
4.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.114 * [taylor]: Taking taylor expansion of y in y
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [taylor]: Taking taylor expansion of 0 in y
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 0 into 0
4.114 * [backup-simplify]: Simplify 1 into 1
4.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.116 * [backup-simplify]: Simplify (+ 1 0) into 1
4.116 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.116 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.116 * [taylor]: Taking taylor expansion of 1/2 in y
4.117 * [backup-simplify]: Simplify 1/2 into 1/2
4.117 * [taylor]: Taking taylor expansion of y in y
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 1 into 1
4.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.120 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.120 * [taylor]: Taking taylor expansion of 0 in y
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.121 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 x) (/ 1 y))) (sqrt (hypot (/ 1 x) (/ 1 y)))) into (hypot (/ 1 x) (/ 1 y))
4.121 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
4.122 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
4.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.122 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
4.122 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.122 * [taylor]: Taking taylor expansion of x in y
4.122 * [backup-simplify]: Simplify x into x
4.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.122 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.122 * [taylor]: Taking taylor expansion of x in y
4.122 * [backup-simplify]: Simplify x into x
4.122 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.122 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
4.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.122 * [taylor]: Taking taylor expansion of y in y
4.122 * [backup-simplify]: Simplify 0 into 0
4.122 * [backup-simplify]: Simplify 1 into 1
4.123 * [backup-simplify]: Simplify (/ 1 1) into 1
4.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.123 * [taylor]: Taking taylor expansion of y in y
4.123 * [backup-simplify]: Simplify 0 into 0
4.123 * [backup-simplify]: Simplify 1 into 1
4.123 * [backup-simplify]: Simplify (/ 1 1) into 1
4.124 * [backup-simplify]: Simplify (* 1 1) into 1
4.124 * [backup-simplify]: Simplify (+ 0 1) into 1
4.125 * [backup-simplify]: Simplify (sqrt 1) into 1
4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.127 * [backup-simplify]: Simplify (+ 0 0) into 0
4.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.128 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.128 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.128 * [taylor]: Taking taylor expansion of x in x
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 1 into 1
4.128 * [backup-simplify]: Simplify (/ 1 1) into 1
4.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.128 * [taylor]: Taking taylor expansion of x in x
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify 1 into 1
4.129 * [backup-simplify]: Simplify (/ 1 1) into 1
4.129 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.129 * [taylor]: Taking taylor expansion of y in x
4.129 * [backup-simplify]: Simplify y into y
4.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.129 * [taylor]: Taking taylor expansion of y in x
4.129 * [backup-simplify]: Simplify y into y
4.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.129 * [backup-simplify]: Simplify (* 1 1) into 1
4.130 * [backup-simplify]: Simplify (+ 1 0) into 1
4.130 * [backup-simplify]: Simplify (sqrt 1) into 1
4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.132 * [backup-simplify]: Simplify (+ 0 0) into 0
4.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.133 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.133 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.133 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.133 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.133 * [taylor]: Taking taylor expansion of x in x
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 1 into 1
4.134 * [backup-simplify]: Simplify (/ 1 1) into 1
4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.134 * [taylor]: Taking taylor expansion of x in x
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 1 into 1
4.134 * [backup-simplify]: Simplify (/ 1 1) into 1
4.134 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.134 * [taylor]: Taking taylor expansion of y in x
4.134 * [backup-simplify]: Simplify y into y
4.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.134 * [taylor]: Taking taylor expansion of y in x
4.134 * [backup-simplify]: Simplify y into y
4.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.135 * [backup-simplify]: Simplify (* 1 1) into 1
4.135 * [backup-simplify]: Simplify (+ 1 0) into 1
4.135 * [backup-simplify]: Simplify (sqrt 1) into 1
4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.138 * [taylor]: Taking taylor expansion of 1 in y
4.138 * [backup-simplify]: Simplify 1 into 1
4.138 * [taylor]: Taking taylor expansion of 0 in y
4.138 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify 1 into 1
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.141 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
4.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.143 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.143 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.143 * [taylor]: Taking taylor expansion of 1/2 in y
4.143 * [backup-simplify]: Simplify 1/2 into 1/2
4.143 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.143 * [taylor]: Taking taylor expansion of y in y
4.143 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify 1 into 1
4.143 * [backup-simplify]: Simplify (* 1 1) into 1
4.144 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.147 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
4.148 * [backup-simplify]: Simplify (+ 0 0) into 0
4.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.148 * [taylor]: Taking taylor expansion of 0 in y
4.148 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.151 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- x)) (/ 1 (- y)))) (sqrt (hypot (/ 1 (- x)) (/ 1 (- y))))) into (hypot (/ -1 x) (/ -1 y))
4.151 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
4.151 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
4.151 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.151 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
4.151 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.151 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.151 * [taylor]: Taking taylor expansion of -1 in y
4.151 * [backup-simplify]: Simplify -1 into -1
4.151 * [taylor]: Taking taylor expansion of x in y
4.151 * [backup-simplify]: Simplify x into x
4.151 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.151 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.151 * [taylor]: Taking taylor expansion of -1 in y
4.151 * [backup-simplify]: Simplify -1 into -1
4.151 * [taylor]: Taking taylor expansion of x in y
4.151 * [backup-simplify]: Simplify x into x
4.151 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.151 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
4.151 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.151 * [taylor]: Taking taylor expansion of -1 in y
4.151 * [backup-simplify]: Simplify -1 into -1
4.151 * [taylor]: Taking taylor expansion of y in y
4.151 * [backup-simplify]: Simplify 0 into 0
4.151 * [backup-simplify]: Simplify 1 into 1
4.152 * [backup-simplify]: Simplify (/ -1 1) into -1
4.152 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.152 * [taylor]: Taking taylor expansion of -1 in y
4.152 * [backup-simplify]: Simplify -1 into -1
4.152 * [taylor]: Taking taylor expansion of y in y
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 1 into 1
4.152 * [backup-simplify]: Simplify (/ -1 1) into -1
4.153 * [backup-simplify]: Simplify (* -1 -1) into 1
4.153 * [backup-simplify]: Simplify (+ 0 1) into 1
4.154 * [backup-simplify]: Simplify (sqrt 1) into 1
4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.156 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.157 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.157 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.157 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.157 * [taylor]: Taking taylor expansion of -1 in x
4.157 * [backup-simplify]: Simplify -1 into -1
4.157 * [taylor]: Taking taylor expansion of x in x
4.157 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify 1 into 1
4.157 * [backup-simplify]: Simplify (/ -1 1) into -1
4.157 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.158 * [taylor]: Taking taylor expansion of -1 in x
4.158 * [backup-simplify]: Simplify -1 into -1
4.158 * [taylor]: Taking taylor expansion of x in x
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 1 into 1
4.158 * [backup-simplify]: Simplify (/ -1 1) into -1
4.158 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.158 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.158 * [taylor]: Taking taylor expansion of -1 in x
4.158 * [backup-simplify]: Simplify -1 into -1
4.158 * [taylor]: Taking taylor expansion of y in x
4.158 * [backup-simplify]: Simplify y into y
4.158 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.158 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.158 * [taylor]: Taking taylor expansion of -1 in x
4.158 * [backup-simplify]: Simplify -1 into -1
4.158 * [taylor]: Taking taylor expansion of y in x
4.158 * [backup-simplify]: Simplify y into y
4.158 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.159 * [backup-simplify]: Simplify (* -1 -1) into 1
4.159 * [backup-simplify]: Simplify (+ 1 0) into 1
4.159 * [backup-simplify]: Simplify (sqrt 1) into 1
4.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.161 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.162 * [backup-simplify]: Simplify (+ 0 0) into 0
4.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.162 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.163 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.163 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.163 * [taylor]: Taking taylor expansion of -1 in x
4.163 * [backup-simplify]: Simplify -1 into -1
4.163 * [taylor]: Taking taylor expansion of x in x
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.163 * [backup-simplify]: Simplify (/ -1 1) into -1
4.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.163 * [taylor]: Taking taylor expansion of -1 in x
4.163 * [backup-simplify]: Simplify -1 into -1
4.163 * [taylor]: Taking taylor expansion of x in x
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 1 into 1
4.164 * [backup-simplify]: Simplify (/ -1 1) into -1
4.164 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.164 * [taylor]: Taking taylor expansion of -1 in x
4.164 * [backup-simplify]: Simplify -1 into -1
4.164 * [taylor]: Taking taylor expansion of y in x
4.164 * [backup-simplify]: Simplify y into y
4.164 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.164 * [taylor]: Taking taylor expansion of -1 in x
4.164 * [backup-simplify]: Simplify -1 into -1
4.164 * [taylor]: Taking taylor expansion of y in x
4.164 * [backup-simplify]: Simplify y into y
4.164 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.165 * [backup-simplify]: Simplify (* -1 -1) into 1
4.165 * [backup-simplify]: Simplify (+ 1 0) into 1
4.165 * [backup-simplify]: Simplify (sqrt 1) into 1
4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.167 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.168 * [backup-simplify]: Simplify (+ 0 0) into 0
4.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.168 * [taylor]: Taking taylor expansion of 1 in y
4.168 * [backup-simplify]: Simplify 1 into 1
4.168 * [taylor]: Taking taylor expansion of 0 in y
4.169 * [backup-simplify]: Simplify 0 into 0
4.169 * [backup-simplify]: Simplify 1 into 1
4.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.171 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
4.171 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.173 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.173 * [taylor]: Taking taylor expansion of 1/2 in y
4.173 * [backup-simplify]: Simplify 1/2 into 1/2
4.173 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.173 * [taylor]: Taking taylor expansion of y in y
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 1 into 1
4.173 * [backup-simplify]: Simplify (* 1 1) into 1
4.174 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.178 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.178 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.178 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.178 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
4.179 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.179 * [taylor]: Taking taylor expansion of 0 in y
4.179 * [backup-simplify]: Simplify 0 into 0
4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.181 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
4.182 * [backup-simplify]: Simplify (sqrt (hypot x y)) into (sqrt (hypot x y))
4.182 * [approximate]: Taking taylor expansion of (sqrt (hypot x y)) in (x y) around 0
4.182 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y
4.182 * [taylor]: Taking taylor expansion of (hypot x y) in y
4.182 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.182 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
4.182 * [taylor]: Taking taylor expansion of (* x x) in y
4.182 * [taylor]: Taking taylor expansion of x in y
4.182 * [backup-simplify]: Simplify x into x
4.182 * [taylor]: Taking taylor expansion of x in y
4.182 * [backup-simplify]: Simplify x into x
4.182 * [taylor]: Taking taylor expansion of (* y y) in y
4.182 * [taylor]: Taking taylor expansion of y in y
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 1 into 1
4.182 * [taylor]: Taking taylor expansion of y in y
4.182 * [backup-simplify]: Simplify 0 into 0
4.182 * [backup-simplify]: Simplify 1 into 1
4.182 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.183 * [backup-simplify]: Simplify (* 0 0) into 0
4.183 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.183 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.183 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.184 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.184 * [backup-simplify]: Simplify (+ 0 0) into 0
4.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.185 * [backup-simplify]: Simplify (sqrt x) into (sqrt x)
4.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt x))) into 0
4.185 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x
4.185 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.185 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.185 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.185 * [taylor]: Taking taylor expansion of (* x x) in x
4.185 * [taylor]: Taking taylor expansion of x in x
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of x in x
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of (* y y) in x
4.185 * [taylor]: Taking taylor expansion of y in x
4.185 * [backup-simplify]: Simplify y into y
4.185 * [taylor]: Taking taylor expansion of y in x
4.185 * [backup-simplify]: Simplify y into y
4.186 * [backup-simplify]: Simplify (* 0 0) into 0
4.186 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.186 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.186 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.187 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.187 * [backup-simplify]: Simplify (+ 0 0) into 0
4.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.187 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.187 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x
4.187 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.187 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.188 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.188 * [taylor]: Taking taylor expansion of (* x x) in x
4.188 * [taylor]: Taking taylor expansion of x in x
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 1 into 1
4.188 * [taylor]: Taking taylor expansion of x in x
4.188 * [backup-simplify]: Simplify 0 into 0
4.188 * [backup-simplify]: Simplify 1 into 1
4.188 * [taylor]: Taking taylor expansion of (* y y) in x
4.188 * [taylor]: Taking taylor expansion of y in x
4.188 * [backup-simplify]: Simplify y into y
4.188 * [taylor]: Taking taylor expansion of y in x
4.188 * [backup-simplify]: Simplify y into y
4.188 * [backup-simplify]: Simplify (* 0 0) into 0
4.188 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.188 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.189 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.189 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.189 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.190 * [backup-simplify]: Simplify (+ 0 0) into 0
4.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.190 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.190 * [taylor]: Taking taylor expansion of (sqrt y) in y
4.190 * [taylor]: Taking taylor expansion of y in y
4.190 * [backup-simplify]: Simplify 0 into 0
4.190 * [backup-simplify]: Simplify 1 into 1
4.190 * [backup-simplify]: Simplify (sqrt 0) into 0
4.192 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [taylor]: Taking taylor expansion of 0 in y
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.194 * [backup-simplify]: Simplify (+ 1 0) into 1
4.194 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.195 * [backup-simplify]: Simplify (/ (- (/ 1/2 y) (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/4 (sqrt (/ 1 (pow y 3))))
4.195 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y
4.195 * [taylor]: Taking taylor expansion of 1/4 in y
4.195 * [backup-simplify]: Simplify 1/4 into 1/4
4.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y
4.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.195 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.195 * [taylor]: Taking taylor expansion of y in y
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.196 * [backup-simplify]: Simplify (* 1 1) into 1
4.196 * [backup-simplify]: Simplify (* 1 1) into 1
4.196 * [backup-simplify]: Simplify (/ 1 1) into 1
4.197 * [backup-simplify]: Simplify (sqrt 0) into 0
4.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.202 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.204 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
4.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.205 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.207 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.208 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
4.209 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 x) (/ 1 y))) into (sqrt (hypot (/ 1 x) (/ 1 y)))
4.209 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in (x y) around 0
4.209 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y
4.209 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
4.209 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.209 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
4.209 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.209 * [taylor]: Taking taylor expansion of x in y
4.209 * [backup-simplify]: Simplify x into x
4.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.209 * [taylor]: Taking taylor expansion of x in y
4.209 * [backup-simplify]: Simplify x into x
4.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.209 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
4.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.209 * [taylor]: Taking taylor expansion of y in y
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify (/ 1 1) into 1
4.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.210 * [taylor]: Taking taylor expansion of y in y
4.210 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify (/ 1 1) into 1
4.210 * [backup-simplify]: Simplify (* 1 1) into 1
4.211 * [backup-simplify]: Simplify (+ 0 1) into 1
4.211 * [backup-simplify]: Simplify (sqrt 1) into 1
4.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.214 * [backup-simplify]: Simplify (sqrt 0) into 0
4.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.216 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x
4.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.216 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.216 * [taylor]: Taking taylor expansion of x in x
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 1 into 1
4.216 * [backup-simplify]: Simplify (/ 1 1) into 1
4.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.216 * [taylor]: Taking taylor expansion of x in x
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 1 into 1
4.217 * [backup-simplify]: Simplify (/ 1 1) into 1
4.217 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.217 * [taylor]: Taking taylor expansion of y in x
4.217 * [backup-simplify]: Simplify y into y
4.217 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.217 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.217 * [taylor]: Taking taylor expansion of y in x
4.217 * [backup-simplify]: Simplify y into y
4.217 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.217 * [backup-simplify]: Simplify (* 1 1) into 1
4.218 * [backup-simplify]: Simplify (+ 1 0) into 1
4.218 * [backup-simplify]: Simplify (sqrt 1) into 1
4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.220 * [backup-simplify]: Simplify (+ 0 0) into 0
4.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.221 * [backup-simplify]: Simplify (sqrt 0) into 0
4.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.223 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x
4.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.223 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.223 * [taylor]: Taking taylor expansion of x in x
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 1 into 1
4.223 * [backup-simplify]: Simplify (/ 1 1) into 1
4.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.223 * [taylor]: Taking taylor expansion of x in x
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 1 into 1
4.224 * [backup-simplify]: Simplify (/ 1 1) into 1
4.224 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.224 * [taylor]: Taking taylor expansion of y in x
4.224 * [backup-simplify]: Simplify y into y
4.224 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.224 * [taylor]: Taking taylor expansion of y in x
4.224 * [backup-simplify]: Simplify y into y
4.224 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.224 * [backup-simplify]: Simplify (* 1 1) into 1
4.225 * [backup-simplify]: Simplify (+ 1 0) into 1
4.225 * [backup-simplify]: Simplify (sqrt 1) into 1
4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.227 * [backup-simplify]: Simplify (+ 0 0) into 0
4.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.228 * [backup-simplify]: Simplify (sqrt 0) into 0
4.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.229 * [taylor]: Taking taylor expansion of 0 in y
4.229 * [backup-simplify]: Simplify 0 into 0
4.229 * [taylor]: Taking taylor expansion of +nan.0 in y
4.229 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.229 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.231 * [taylor]: Taking taylor expansion of +nan.0 in y
4.231 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.231 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.231 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.233 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
4.234 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.236 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0))
4.236 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y
4.236 * [taylor]: Taking taylor expansion of +nan.0 in y
4.236 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.236 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y
4.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.236 * [taylor]: Taking taylor expansion of 1/2 in y
4.236 * [backup-simplify]: Simplify 1/2 into 1/2
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.236 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.236 * [taylor]: Taking taylor expansion of y in y
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (* 1 1) into 1
4.237 * [backup-simplify]: Simplify (/ 1 1) into 1
4.237 * [taylor]: Taking taylor expansion of +nan.0 in y
4.237 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.238 * [backup-simplify]: Simplify (+ 0 0) into 0
4.239 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.239 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.242 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
4.242 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.242 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.244 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
4.245 * [backup-simplify]: Simplify (+ 0 0) into 0
4.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.246 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))
4.246 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
4.246 * [taylor]: Taking taylor expansion of +nan.0 in y
4.246 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.246 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
4.246 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
4.246 * [taylor]: Taking taylor expansion of +nan.0 in y
4.246 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.246 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.246 * [taylor]: Taking taylor expansion of y in y
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify 1 into 1
4.247 * [backup-simplify]: Simplify (* 1 1) into 1
4.247 * [backup-simplify]: Simplify (/ 1 1) into 1
4.247 * [taylor]: Taking taylor expansion of (- +nan.0) in y
4.247 * [taylor]: Taking taylor expansion of +nan.0 in y
4.247 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.248 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
4.249 * [backup-simplify]: Simplify (+ 0 0) into 0
4.249 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
4.249 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
4.250 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.252 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.252 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
4.254 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
4.254 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.255 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 x)) 2)) (+ (* +nan.0 (* 1 (/ 1 x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
4.255 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (hypot (/ -1 x) (/ -1 y)))
4.255 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in (x y) around 0
4.255 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y
4.255 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
4.255 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.255 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
4.255 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.255 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.255 * [taylor]: Taking taylor expansion of -1 in y
4.255 * [backup-simplify]: Simplify -1 into -1
4.255 * [taylor]: Taking taylor expansion of x in y
4.255 * [backup-simplify]: Simplify x into x
4.255 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.255 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.255 * [taylor]: Taking taylor expansion of -1 in y
4.255 * [backup-simplify]: Simplify -1 into -1
4.255 * [taylor]: Taking taylor expansion of x in y
4.255 * [backup-simplify]: Simplify x into x
4.255 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.255 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
4.255 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.255 * [taylor]: Taking taylor expansion of -1 in y
4.255 * [backup-simplify]: Simplify -1 into -1
4.255 * [taylor]: Taking taylor expansion of y in y
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 1 into 1
4.256 * [backup-simplify]: Simplify (/ -1 1) into -1
4.256 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.256 * [taylor]: Taking taylor expansion of -1 in y
4.256 * [backup-simplify]: Simplify -1 into -1
4.256 * [taylor]: Taking taylor expansion of y in y
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 1 into 1
4.256 * [backup-simplify]: Simplify (/ -1 1) into -1
4.256 * [backup-simplify]: Simplify (* -1 -1) into 1
4.257 * [backup-simplify]: Simplify (+ 0 1) into 1
4.257 * [backup-simplify]: Simplify (sqrt 1) into 1
4.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.258 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.259 * [backup-simplify]: Simplify (+ 0 0) into 0
4.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.259 * [backup-simplify]: Simplify (sqrt 0) into 0
4.260 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.260 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x
4.260 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.261 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.261 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.261 * [taylor]: Taking taylor expansion of -1 in x
4.261 * [backup-simplify]: Simplify -1 into -1
4.261 * [taylor]: Taking taylor expansion of x in x
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 1 into 1
4.261 * [backup-simplify]: Simplify (/ -1 1) into -1
4.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.261 * [taylor]: Taking taylor expansion of -1 in x
4.261 * [backup-simplify]: Simplify -1 into -1
4.261 * [taylor]: Taking taylor expansion of x in x
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 1 into 1
4.262 * [backup-simplify]: Simplify (/ -1 1) into -1
4.262 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.262 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.262 * [taylor]: Taking taylor expansion of -1 in x
4.262 * [backup-simplify]: Simplify -1 into -1
4.262 * [taylor]: Taking taylor expansion of y in x
4.262 * [backup-simplify]: Simplify y into y
4.262 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.262 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.262 * [taylor]: Taking taylor expansion of -1 in x
4.262 * [backup-simplify]: Simplify -1 into -1
4.262 * [taylor]: Taking taylor expansion of y in x
4.262 * [backup-simplify]: Simplify y into y
4.262 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.262 * [backup-simplify]: Simplify (* -1 -1) into 1
4.263 * [backup-simplify]: Simplify (+ 1 0) into 1
4.263 * [backup-simplify]: Simplify (sqrt 1) into 1
4.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.266 * [backup-simplify]: Simplify (+ 0 0) into 0
4.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.267 * [backup-simplify]: Simplify (sqrt 0) into 0
4.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.268 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x
4.268 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.268 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.268 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.268 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.268 * [taylor]: Taking taylor expansion of -1 in x
4.268 * [backup-simplify]: Simplify -1 into -1
4.268 * [taylor]: Taking taylor expansion of x in x
4.268 * [backup-simplify]: Simplify 0 into 0
4.268 * [backup-simplify]: Simplify 1 into 1
4.269 * [backup-simplify]: Simplify (/ -1 1) into -1
4.269 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.269 * [taylor]: Taking taylor expansion of -1 in x
4.269 * [backup-simplify]: Simplify -1 into -1
4.269 * [taylor]: Taking taylor expansion of x in x
4.269 * [backup-simplify]: Simplify 0 into 0
4.269 * [backup-simplify]: Simplify 1 into 1
4.269 * [backup-simplify]: Simplify (/ -1 1) into -1
4.269 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.269 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.269 * [taylor]: Taking taylor expansion of -1 in x
4.269 * [backup-simplify]: Simplify -1 into -1
4.269 * [taylor]: Taking taylor expansion of y in x
4.269 * [backup-simplify]: Simplify y into y
4.269 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.270 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.270 * [taylor]: Taking taylor expansion of -1 in x
4.270 * [backup-simplify]: Simplify -1 into -1
4.270 * [taylor]: Taking taylor expansion of y in x
4.270 * [backup-simplify]: Simplify y into y
4.270 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.270 * [backup-simplify]: Simplify (* -1 -1) into 1
4.270 * [backup-simplify]: Simplify (+ 1 0) into 1
4.271 * [backup-simplify]: Simplify (sqrt 1) into 1
4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.273 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.273 * [backup-simplify]: Simplify (+ 0 0) into 0
4.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.274 * [backup-simplify]: Simplify (sqrt 0) into 0
4.275 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.276 * [taylor]: Taking taylor expansion of 0 in y
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [taylor]: Taking taylor expansion of +nan.0 in y
4.276 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.276 * [backup-simplify]: Simplify 0 into 0
4.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.278 * [taylor]: Taking taylor expansion of +nan.0 in y
4.278 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.279 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.279 * [backup-simplify]: Simplify 0 into 0
4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.281 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
4.282 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.285 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0))
4.285 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y
4.285 * [taylor]: Taking taylor expansion of +nan.0 in y
4.285 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.285 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y
4.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.285 * [taylor]: Taking taylor expansion of 1/2 in y
4.285 * [backup-simplify]: Simplify 1/2 into 1/2
4.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.285 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.285 * [taylor]: Taking taylor expansion of y in y
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [backup-simplify]: Simplify (* 1 1) into 1
4.286 * [backup-simplify]: Simplify (/ 1 1) into 1
4.286 * [taylor]: Taking taylor expansion of +nan.0 in y
4.286 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.289 * [backup-simplify]: Simplify (+ 0 0) into 0
4.289 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.289 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 0 into 0
4.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.293 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.293 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.293 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
4.294 * [backup-simplify]: Simplify (+ 0 0) into 0
4.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.296 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))
4.296 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
4.296 * [taylor]: Taking taylor expansion of +nan.0 in y
4.296 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.296 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
4.296 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
4.296 * [taylor]: Taking taylor expansion of +nan.0 in y
4.296 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.296 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.296 * [taylor]: Taking taylor expansion of y in y
4.296 * [backup-simplify]: Simplify 0 into 0
4.296 * [backup-simplify]: Simplify 1 into 1
4.296 * [backup-simplify]: Simplify (* 1 1) into 1
4.297 * [backup-simplify]: Simplify (/ 1 1) into 1
4.297 * [taylor]: Taking taylor expansion of (- +nan.0) in y
4.297 * [taylor]: Taking taylor expansion of +nan.0 in y
4.297 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.299 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
4.299 * [backup-simplify]: Simplify (+ 0 0) into 0
4.299 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
4.300 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
4.300 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
4.301 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.303 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.304 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
4.306 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
4.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.308 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- x))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- x)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
4.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
4.308 * [backup-simplify]: Simplify (sqrt (hypot x y)) into (sqrt (hypot x y))
4.308 * [approximate]: Taking taylor expansion of (sqrt (hypot x y)) in (x y) around 0
4.308 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y
4.308 * [taylor]: Taking taylor expansion of (hypot x y) in y
4.308 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.308 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
4.308 * [taylor]: Taking taylor expansion of (* x x) in y
4.308 * [taylor]: Taking taylor expansion of x in y
4.308 * [backup-simplify]: Simplify x into x
4.308 * [taylor]: Taking taylor expansion of x in y
4.308 * [backup-simplify]: Simplify x into x
4.308 * [taylor]: Taking taylor expansion of (* y y) in y
4.308 * [taylor]: Taking taylor expansion of y in y
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.308 * [taylor]: Taking taylor expansion of y in y
4.308 * [backup-simplify]: Simplify 0 into 0
4.308 * [backup-simplify]: Simplify 1 into 1
4.308 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.309 * [backup-simplify]: Simplify (* 0 0) into 0
4.309 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.309 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.309 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.310 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.310 * [backup-simplify]: Simplify (+ 0 0) into 0
4.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.310 * [backup-simplify]: Simplify (sqrt x) into (sqrt x)
4.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt x))) into 0
4.311 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x
4.311 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.311 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.311 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.311 * [taylor]: Taking taylor expansion of (* x x) in x
4.311 * [taylor]: Taking taylor expansion of x in x
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 1 into 1
4.311 * [taylor]: Taking taylor expansion of x in x
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 1 into 1
4.311 * [taylor]: Taking taylor expansion of (* y y) in x
4.311 * [taylor]: Taking taylor expansion of y in x
4.311 * [backup-simplify]: Simplify y into y
4.311 * [taylor]: Taking taylor expansion of y in x
4.311 * [backup-simplify]: Simplify y into y
4.311 * [backup-simplify]: Simplify (* 0 0) into 0
4.311 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.312 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.312 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.312 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.312 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.313 * [backup-simplify]: Simplify (+ 0 0) into 0
4.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.313 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.313 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x
4.313 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.313 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.313 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.313 * [taylor]: Taking taylor expansion of (* x x) in x
4.313 * [taylor]: Taking taylor expansion of x in x
4.313 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify 1 into 1
4.313 * [taylor]: Taking taylor expansion of x in x
4.313 * [backup-simplify]: Simplify 0 into 0
4.313 * [backup-simplify]: Simplify 1 into 1
4.313 * [taylor]: Taking taylor expansion of (* y y) in x
4.313 * [taylor]: Taking taylor expansion of y in x
4.314 * [backup-simplify]: Simplify y into y
4.314 * [taylor]: Taking taylor expansion of y in x
4.314 * [backup-simplify]: Simplify y into y
4.314 * [backup-simplify]: Simplify (* 0 0) into 0
4.314 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.314 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.314 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.315 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.315 * [backup-simplify]: Simplify (+ 0 0) into 0
4.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.316 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
4.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
4.316 * [taylor]: Taking taylor expansion of (sqrt y) in y
4.316 * [taylor]: Taking taylor expansion of y in y
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 1 into 1
4.316 * [backup-simplify]: Simplify (sqrt 0) into 0
4.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [taylor]: Taking taylor expansion of 0 in y
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.319 * [backup-simplify]: Simplify (+ 1 0) into 1
4.320 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.321 * [backup-simplify]: Simplify (/ (- (/ 1/2 y) (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/4 (sqrt (/ 1 (pow y 3))))
4.321 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y
4.321 * [taylor]: Taking taylor expansion of 1/4 in y
4.321 * [backup-simplify]: Simplify 1/4 into 1/4
4.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y
4.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
4.321 * [taylor]: Taking taylor expansion of (pow y 3) in y
4.321 * [taylor]: Taking taylor expansion of y in y
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 1 into 1
4.321 * [backup-simplify]: Simplify (* 1 1) into 1
4.322 * [backup-simplify]: Simplify (* 1 1) into 1
4.322 * [backup-simplify]: Simplify (/ 1 1) into 1
4.322 * [backup-simplify]: Simplify (sqrt 0) into 0
4.324 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.328 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.330 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
4.330 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.330 * [backup-simplify]: Simplify 0 into 0
4.333 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.333 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.334 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
4.334 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 x) (/ 1 y))) into (sqrt (hypot (/ 1 x) (/ 1 y)))
4.334 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in (x y) around 0
4.334 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y
4.334 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
4.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
4.334 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.334 * [taylor]: Taking taylor expansion of x in y
4.334 * [backup-simplify]: Simplify x into x
4.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.334 * [taylor]: Taking taylor expansion of x in y
4.335 * [backup-simplify]: Simplify x into x
4.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.335 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
4.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.335 * [taylor]: Taking taylor expansion of y in y
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.335 * [backup-simplify]: Simplify (/ 1 1) into 1
4.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.335 * [taylor]: Taking taylor expansion of y in y
4.335 * [backup-simplify]: Simplify 0 into 0
4.335 * [backup-simplify]: Simplify 1 into 1
4.336 * [backup-simplify]: Simplify (/ 1 1) into 1
4.336 * [backup-simplify]: Simplify (* 1 1) into 1
4.336 * [backup-simplify]: Simplify (+ 0 1) into 1
4.337 * [backup-simplify]: Simplify (sqrt 1) into 1
4.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.339 * [backup-simplify]: Simplify (+ 0 0) into 0
4.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.340 * [backup-simplify]: Simplify (sqrt 0) into 0
4.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.341 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x
4.341 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.341 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.341 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.342 * [taylor]: Taking taylor expansion of x in x
4.342 * [backup-simplify]: Simplify 0 into 0
4.342 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.342 * [taylor]: Taking taylor expansion of x in x
4.342 * [backup-simplify]: Simplify 0 into 0
4.342 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.342 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.343 * [taylor]: Taking taylor expansion of y in x
4.343 * [backup-simplify]: Simplify y into y
4.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.343 * [taylor]: Taking taylor expansion of y in x
4.343 * [backup-simplify]: Simplify y into y
4.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.343 * [backup-simplify]: Simplify (* 1 1) into 1
4.343 * [backup-simplify]: Simplify (+ 1 0) into 1
4.344 * [backup-simplify]: Simplify (sqrt 1) into 1
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.346 * [backup-simplify]: Simplify (+ 0 0) into 0
4.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.347 * [backup-simplify]: Simplify (sqrt 0) into 0
4.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.349 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x
4.349 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.349 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.349 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.349 * [taylor]: Taking taylor expansion of x in x
4.349 * [backup-simplify]: Simplify 0 into 0
4.349 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (/ 1 1) into 1
4.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.349 * [taylor]: Taking taylor expansion of x in x
4.349 * [backup-simplify]: Simplify 0 into 0
4.350 * [backup-simplify]: Simplify 1 into 1
4.350 * [backup-simplify]: Simplify (/ 1 1) into 1
4.350 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.350 * [taylor]: Taking taylor expansion of y in x
4.350 * [backup-simplify]: Simplify y into y
4.350 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.350 * [taylor]: Taking taylor expansion of y in x
4.350 * [backup-simplify]: Simplify y into y
4.350 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.350 * [backup-simplify]: Simplify (* 1 1) into 1
4.351 * [backup-simplify]: Simplify (+ 1 0) into 1
4.351 * [backup-simplify]: Simplify (sqrt 1) into 1
4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.353 * [backup-simplify]: Simplify (+ 0 0) into 0
4.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.354 * [backup-simplify]: Simplify (sqrt 0) into 0
4.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.356 * [taylor]: Taking taylor expansion of 0 in y
4.356 * [backup-simplify]: Simplify 0 into 0
4.356 * [taylor]: Taking taylor expansion of +nan.0 in y
4.356 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.356 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.359 * [taylor]: Taking taylor expansion of +nan.0 in y
4.359 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.359 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.359 * [backup-simplify]: Simplify 0 into 0
4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.361 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
4.361 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.365 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0))
4.365 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y
4.365 * [taylor]: Taking taylor expansion of +nan.0 in y
4.365 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.365 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y
4.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.365 * [taylor]: Taking taylor expansion of 1/2 in y
4.365 * [backup-simplify]: Simplify 1/2 into 1/2
4.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.365 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.365 * [taylor]: Taking taylor expansion of y in y
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify 1 into 1
4.365 * [backup-simplify]: Simplify (* 1 1) into 1
4.366 * [backup-simplify]: Simplify (/ 1 1) into 1
4.366 * [taylor]: Taking taylor expansion of +nan.0 in y
4.366 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.368 * [backup-simplify]: Simplify (+ 0 0) into 0
4.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.371 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.372 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.375 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
4.376 * [backup-simplify]: Simplify (+ 0 0) into 0
4.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.377 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))
4.377 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
4.377 * [taylor]: Taking taylor expansion of +nan.0 in y
4.377 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.377 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
4.377 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
4.377 * [taylor]: Taking taylor expansion of +nan.0 in y
4.377 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.377 * [taylor]: Taking taylor expansion of y in y
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (* 1 1) into 1
4.378 * [backup-simplify]: Simplify (/ 1 1) into 1
4.378 * [taylor]: Taking taylor expansion of (- +nan.0) in y
4.378 * [taylor]: Taking taylor expansion of +nan.0 in y
4.378 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.379 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
4.380 * [backup-simplify]: Simplify (+ 0 0) into 0
4.380 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
4.380 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
4.381 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.383 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.383 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
4.385 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
4.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.386 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 x)) 2)) (+ (* +nan.0 (* 1 (/ 1 x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
4.386 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (hypot (/ -1 x) (/ -1 y)))
4.387 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in (x y) around 0
4.387 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y
4.387 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
4.387 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.387 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
4.387 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.387 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.387 * [taylor]: Taking taylor expansion of -1 in y
4.387 * [backup-simplify]: Simplify -1 into -1
4.387 * [taylor]: Taking taylor expansion of x in y
4.387 * [backup-simplify]: Simplify x into x
4.387 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.387 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.387 * [taylor]: Taking taylor expansion of -1 in y
4.387 * [backup-simplify]: Simplify -1 into -1
4.387 * [taylor]: Taking taylor expansion of x in y
4.387 * [backup-simplify]: Simplify x into x
4.387 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.387 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
4.387 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.387 * [taylor]: Taking taylor expansion of -1 in y
4.387 * [backup-simplify]: Simplify -1 into -1
4.387 * [taylor]: Taking taylor expansion of y in y
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify 1 into 1
4.388 * [backup-simplify]: Simplify (/ -1 1) into -1
4.388 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.388 * [taylor]: Taking taylor expansion of -1 in y
4.388 * [backup-simplify]: Simplify -1 into -1
4.388 * [taylor]: Taking taylor expansion of y in y
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify 1 into 1
4.388 * [backup-simplify]: Simplify (/ -1 1) into -1
4.389 * [backup-simplify]: Simplify (* -1 -1) into 1
4.389 * [backup-simplify]: Simplify (+ 0 1) into 1
4.390 * [backup-simplify]: Simplify (sqrt 1) into 1
4.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.392 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.392 * [backup-simplify]: Simplify (+ 0 0) into 0
4.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.393 * [backup-simplify]: Simplify (sqrt 0) into 0
4.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.394 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x
4.395 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.395 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.395 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.395 * [taylor]: Taking taylor expansion of -1 in x
4.395 * [backup-simplify]: Simplify -1 into -1
4.395 * [taylor]: Taking taylor expansion of x in x
4.395 * [backup-simplify]: Simplify 0 into 0
4.395 * [backup-simplify]: Simplify 1 into 1
4.395 * [backup-simplify]: Simplify (/ -1 1) into -1
4.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.395 * [taylor]: Taking taylor expansion of -1 in x
4.395 * [backup-simplify]: Simplify -1 into -1
4.395 * [taylor]: Taking taylor expansion of x in x
4.395 * [backup-simplify]: Simplify 0 into 0
4.396 * [backup-simplify]: Simplify 1 into 1
4.396 * [backup-simplify]: Simplify (/ -1 1) into -1
4.396 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.396 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.396 * [taylor]: Taking taylor expansion of -1 in x
4.396 * [backup-simplify]: Simplify -1 into -1
4.396 * [taylor]: Taking taylor expansion of y in x
4.396 * [backup-simplify]: Simplify y into y
4.396 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.396 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.396 * [taylor]: Taking taylor expansion of -1 in x
4.396 * [backup-simplify]: Simplify -1 into -1
4.396 * [taylor]: Taking taylor expansion of y in x
4.396 * [backup-simplify]: Simplify y into y
4.396 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.397 * [backup-simplify]: Simplify (* -1 -1) into 1
4.397 * [backup-simplify]: Simplify (+ 1 0) into 1
4.397 * [backup-simplify]: Simplify (sqrt 1) into 1
4.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.399 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.400 * [backup-simplify]: Simplify (+ 0 0) into 0
4.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.401 * [backup-simplify]: Simplify (sqrt 0) into 0
4.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.402 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x
4.402 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.402 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.402 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.402 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.403 * [taylor]: Taking taylor expansion of -1 in x
4.403 * [backup-simplify]: Simplify -1 into -1
4.403 * [taylor]: Taking taylor expansion of x in x
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 1 into 1
4.403 * [backup-simplify]: Simplify (/ -1 1) into -1
4.403 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.403 * [taylor]: Taking taylor expansion of -1 in x
4.403 * [backup-simplify]: Simplify -1 into -1
4.403 * [taylor]: Taking taylor expansion of x in x
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 1 into 1
4.404 * [backup-simplify]: Simplify (/ -1 1) into -1
4.404 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.404 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.404 * [taylor]: Taking taylor expansion of -1 in x
4.404 * [backup-simplify]: Simplify -1 into -1
4.404 * [taylor]: Taking taylor expansion of y in x
4.404 * [backup-simplify]: Simplify y into y
4.404 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.404 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.404 * [taylor]: Taking taylor expansion of -1 in x
4.404 * [backup-simplify]: Simplify -1 into -1
4.404 * [taylor]: Taking taylor expansion of y in x
4.404 * [backup-simplify]: Simplify y into y
4.404 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.404 * [backup-simplify]: Simplify (* -1 -1) into 1
4.405 * [backup-simplify]: Simplify (+ 1 0) into 1
4.405 * [backup-simplify]: Simplify (sqrt 1) into 1
4.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.407 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.408 * [backup-simplify]: Simplify (+ 0 0) into 0
4.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.409 * [backup-simplify]: Simplify (sqrt 0) into 0
4.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.410 * [taylor]: Taking taylor expansion of 0 in y
4.410 * [backup-simplify]: Simplify 0 into 0
4.410 * [taylor]: Taking taylor expansion of +nan.0 in y
4.410 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.410 * [backup-simplify]: Simplify 0 into 0
4.413 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.413 * [taylor]: Taking taylor expansion of +nan.0 in y
4.413 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.413 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.413 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.415 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.416 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
4.416 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.417 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.419 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow y 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0))
4.419 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y
4.419 * [taylor]: Taking taylor expansion of +nan.0 in y
4.419 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.419 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y
4.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.419 * [taylor]: Taking taylor expansion of 1/2 in y
4.419 * [backup-simplify]: Simplify 1/2 into 1/2
4.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.419 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.419 * [taylor]: Taking taylor expansion of y in y
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify 1 into 1
4.420 * [backup-simplify]: Simplify (* 1 1) into 1
4.420 * [backup-simplify]: Simplify (/ 1 1) into 1
4.420 * [taylor]: Taking taylor expansion of +nan.0 in y
4.420 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.422 * [backup-simplify]: Simplify (+ 0 0) into 0
4.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.423 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.424 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
4.424 * [backup-simplify]: Simplify 0 into 0
4.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.424 * [backup-simplify]: Simplify 0 into 0
4.424 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.427 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.427 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.427 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
4.428 * [backup-simplify]: Simplify (+ 0 0) into 0
4.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.430 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))
4.430 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
4.430 * [taylor]: Taking taylor expansion of +nan.0 in y
4.430 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.430 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
4.430 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
4.430 * [taylor]: Taking taylor expansion of +nan.0 in y
4.430 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.430 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.430 * [taylor]: Taking taylor expansion of y in y
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (* 1 1) into 1
4.431 * [backup-simplify]: Simplify (/ 1 1) into 1
4.431 * [taylor]: Taking taylor expansion of (- +nan.0) in y
4.431 * [taylor]: Taking taylor expansion of +nan.0 in y
4.431 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.433 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
4.433 * [backup-simplify]: Simplify (+ 0 0) into 0
4.434 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
4.434 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
4.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
4.435 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.438 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.439 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
4.441 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
4.442 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.443 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- x))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- x)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
4.443 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1)
4.443 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
4.443 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
4.443 * [taylor]: Taking taylor expansion of (hypot x y) in y
4.443 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.443 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
4.443 * [taylor]: Taking taylor expansion of (* x x) in y
4.443 * [taylor]: Taking taylor expansion of x in y
4.443 * [backup-simplify]: Simplify x into x
4.443 * [taylor]: Taking taylor expansion of x in y
4.443 * [backup-simplify]: Simplify x into x
4.443 * [taylor]: Taking taylor expansion of (* y y) in y
4.443 * [taylor]: Taking taylor expansion of y in y
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify 1 into 1
4.443 * [taylor]: Taking taylor expansion of y in y
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify 1 into 1
4.444 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.444 * [backup-simplify]: Simplify (* 0 0) into 0
4.445 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.445 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.445 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.446 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.446 * [backup-simplify]: Simplify (+ 0 0) into 0
4.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.446 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.447 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.447 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.447 * [taylor]: Taking taylor expansion of (* x x) in x
4.447 * [taylor]: Taking taylor expansion of x in x
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 1 into 1
4.447 * [taylor]: Taking taylor expansion of x in x
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 1 into 1
4.447 * [taylor]: Taking taylor expansion of (* y y) in x
4.447 * [taylor]: Taking taylor expansion of y in x
4.447 * [backup-simplify]: Simplify y into y
4.447 * [taylor]: Taking taylor expansion of y in x
4.447 * [backup-simplify]: Simplify y into y
4.448 * [backup-simplify]: Simplify (* 0 0) into 0
4.448 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.448 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.448 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.449 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.449 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.449 * [backup-simplify]: Simplify (+ 0 0) into 0
4.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.450 * [taylor]: Taking taylor expansion of (hypot x y) in x
4.450 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.450 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
4.450 * [taylor]: Taking taylor expansion of (* x x) in x
4.450 * [taylor]: Taking taylor expansion of x in x
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 1 into 1
4.450 * [taylor]: Taking taylor expansion of x in x
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 1 into 1
4.450 * [taylor]: Taking taylor expansion of (* y y) in x
4.450 * [taylor]: Taking taylor expansion of y in x
4.450 * [backup-simplify]: Simplify y into y
4.450 * [taylor]: Taking taylor expansion of y in x
4.450 * [backup-simplify]: Simplify y into y
4.451 * [backup-simplify]: Simplify (* 0 0) into 0
4.451 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.451 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.451 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.452 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.452 * [backup-simplify]: Simplify (+ 0 0) into 0
4.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.453 * [taylor]: Taking taylor expansion of y in y
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify 1 into 1
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [taylor]: Taking taylor expansion of 0 in y
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify 0 into 0
4.453 * [backup-simplify]: Simplify 1 into 1
4.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.454 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.454 * [backup-simplify]: Simplify (+ 1 0) into 1
4.455 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.455 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.455 * [taylor]: Taking taylor expansion of 1/2 in y
4.455 * [backup-simplify]: Simplify 1/2 into 1/2
4.455 * [taylor]: Taking taylor expansion of y in y
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [backup-simplify]: Simplify 1 into 1
4.455 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.456 * [backup-simplify]: Simplify 0 into 0
4.456 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.459 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.459 * [backup-simplify]: Simplify (+ 0 0) into 0
4.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.459 * [taylor]: Taking taylor expansion of 0 in y
4.459 * [backup-simplify]: Simplify 0 into 0
4.459 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify 0 into 0
4.460 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.461 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
4.461 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
4.461 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
4.461 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.461 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
4.461 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.461 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.461 * [taylor]: Taking taylor expansion of x in y
4.461 * [backup-simplify]: Simplify x into x
4.461 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.461 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.461 * [taylor]: Taking taylor expansion of x in y
4.461 * [backup-simplify]: Simplify x into x
4.461 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.461 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
4.461 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.461 * [taylor]: Taking taylor expansion of y in y
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 1 into 1
4.462 * [backup-simplify]: Simplify (/ 1 1) into 1
4.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.462 * [taylor]: Taking taylor expansion of y in y
4.462 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify 1 into 1
4.462 * [backup-simplify]: Simplify (/ 1 1) into 1
4.463 * [backup-simplify]: Simplify (* 1 1) into 1
4.463 * [backup-simplify]: Simplify (+ 0 1) into 1
4.464 * [backup-simplify]: Simplify (sqrt 1) into 1
4.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.466 * [backup-simplify]: Simplify (+ 0 0) into 0
4.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.467 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.467 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.467 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.467 * [taylor]: Taking taylor expansion of x in x
4.467 * [backup-simplify]: Simplify 0 into 0
4.467 * [backup-simplify]: Simplify 1 into 1
4.468 * [backup-simplify]: Simplify (/ 1 1) into 1
4.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.468 * [taylor]: Taking taylor expansion of x in x
4.468 * [backup-simplify]: Simplify 0 into 0
4.468 * [backup-simplify]: Simplify 1 into 1
4.468 * [backup-simplify]: Simplify (/ 1 1) into 1
4.468 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.468 * [taylor]: Taking taylor expansion of y in x
4.468 * [backup-simplify]: Simplify y into y
4.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.468 * [taylor]: Taking taylor expansion of y in x
4.468 * [backup-simplify]: Simplify y into y
4.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.469 * [backup-simplify]: Simplify (* 1 1) into 1
4.469 * [backup-simplify]: Simplify (+ 1 0) into 1
4.470 * [backup-simplify]: Simplify (sqrt 1) into 1
4.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.472 * [backup-simplify]: Simplify (+ 0 0) into 0
4.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.473 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
4.473 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
4.473 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
4.473 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.473 * [taylor]: Taking taylor expansion of x in x
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [backup-simplify]: Simplify (/ 1 1) into 1
4.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.474 * [taylor]: Taking taylor expansion of x in x
4.474 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify 1 into 1
4.474 * [backup-simplify]: Simplify (/ 1 1) into 1
4.474 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
4.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.474 * [taylor]: Taking taylor expansion of y in x
4.474 * [backup-simplify]: Simplify y into y
4.474 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.474 * [taylor]: Taking taylor expansion of y in x
4.474 * [backup-simplify]: Simplify y into y
4.474 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.475 * [backup-simplify]: Simplify (* 1 1) into 1
4.475 * [backup-simplify]: Simplify (+ 1 0) into 1
4.475 * [backup-simplify]: Simplify (sqrt 1) into 1
4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.477 * [backup-simplify]: Simplify (+ 0 0) into 0
4.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.477 * [taylor]: Taking taylor expansion of 1 in y
4.477 * [backup-simplify]: Simplify 1 into 1
4.477 * [taylor]: Taking taylor expansion of 0 in y
4.477 * [backup-simplify]: Simplify 0 into 0
4.477 * [backup-simplify]: Simplify 1 into 1
4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.479 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
4.479 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.480 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.480 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.480 * [taylor]: Taking taylor expansion of 1/2 in y
4.480 * [backup-simplify]: Simplify 1/2 into 1/2
4.480 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.480 * [taylor]: Taking taylor expansion of y in y
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 1 into 1
4.481 * [backup-simplify]: Simplify (* 1 1) into 1
4.481 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.484 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
4.484 * [backup-simplify]: Simplify (+ 0 0) into 0
4.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.485 * [taylor]: Taking taylor expansion of 0 in y
4.485 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify 0 into 0
4.486 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.486 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
4.486 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
4.486 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
4.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.486 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
4.486 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.486 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.486 * [taylor]: Taking taylor expansion of -1 in y
4.486 * [backup-simplify]: Simplify -1 into -1
4.486 * [taylor]: Taking taylor expansion of x in y
4.486 * [backup-simplify]: Simplify x into x
4.487 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.487 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.487 * [taylor]: Taking taylor expansion of -1 in y
4.487 * [backup-simplify]: Simplify -1 into -1
4.487 * [taylor]: Taking taylor expansion of x in y
4.487 * [backup-simplify]: Simplify x into x
4.487 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.487 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
4.487 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.487 * [taylor]: Taking taylor expansion of -1 in y
4.487 * [backup-simplify]: Simplify -1 into -1
4.487 * [taylor]: Taking taylor expansion of y in y
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [backup-simplify]: Simplify (/ -1 1) into -1
4.487 * [taylor]: Taking taylor expansion of (/ -1 y) in y
4.487 * [taylor]: Taking taylor expansion of -1 in y
4.487 * [backup-simplify]: Simplify -1 into -1
4.487 * [taylor]: Taking taylor expansion of y in y
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [backup-simplify]: Simplify (/ -1 1) into -1
4.488 * [backup-simplify]: Simplify (* -1 -1) into 1
4.488 * [backup-simplify]: Simplify (+ 0 1) into 1
4.488 * [backup-simplify]: Simplify (sqrt 1) into 1
4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.490 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.490 * [backup-simplify]: Simplify (+ 0 0) into 0
4.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.490 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.491 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.491 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.491 * [taylor]: Taking taylor expansion of -1 in x
4.491 * [backup-simplify]: Simplify -1 into -1
4.491 * [taylor]: Taking taylor expansion of x in x
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (/ -1 1) into -1
4.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.491 * [taylor]: Taking taylor expansion of -1 in x
4.491 * [backup-simplify]: Simplify -1 into -1
4.491 * [taylor]: Taking taylor expansion of x in x
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (/ -1 1) into -1
4.491 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.492 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.492 * [taylor]: Taking taylor expansion of -1 in x
4.492 * [backup-simplify]: Simplify -1 into -1
4.492 * [taylor]: Taking taylor expansion of y in x
4.492 * [backup-simplify]: Simplify y into y
4.492 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.492 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.492 * [taylor]: Taking taylor expansion of -1 in x
4.492 * [backup-simplify]: Simplify -1 into -1
4.492 * [taylor]: Taking taylor expansion of y in x
4.492 * [backup-simplify]: Simplify y into y
4.492 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.492 * [backup-simplify]: Simplify (* -1 -1) into 1
4.492 * [backup-simplify]: Simplify (+ 1 0) into 1
4.493 * [backup-simplify]: Simplify (sqrt 1) into 1
4.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.494 * [backup-simplify]: Simplify (+ 0 0) into 0
4.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.495 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
4.495 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
4.495 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
4.495 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.495 * [taylor]: Taking taylor expansion of -1 in x
4.495 * [backup-simplify]: Simplify -1 into -1
4.495 * [taylor]: Taking taylor expansion of x in x
4.495 * [backup-simplify]: Simplify 0 into 0
4.495 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (/ -1 1) into -1
4.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.495 * [taylor]: Taking taylor expansion of -1 in x
4.495 * [backup-simplify]: Simplify -1 into -1
4.495 * [taylor]: Taking taylor expansion of x in x
4.495 * [backup-simplify]: Simplify 0 into 0
4.496 * [backup-simplify]: Simplify 1 into 1
4.496 * [backup-simplify]: Simplify (/ -1 1) into -1
4.496 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
4.496 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.496 * [taylor]: Taking taylor expansion of -1 in x
4.496 * [backup-simplify]: Simplify -1 into -1
4.496 * [taylor]: Taking taylor expansion of y in x
4.496 * [backup-simplify]: Simplify y into y
4.496 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.496 * [taylor]: Taking taylor expansion of (/ -1 y) in x
4.496 * [taylor]: Taking taylor expansion of -1 in x
4.496 * [backup-simplify]: Simplify -1 into -1
4.496 * [taylor]: Taking taylor expansion of y in x
4.496 * [backup-simplify]: Simplify y into y
4.496 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
4.496 * [backup-simplify]: Simplify (* -1 -1) into 1
4.497 * [backup-simplify]: Simplify (+ 1 0) into 1
4.497 * [backup-simplify]: Simplify (sqrt 1) into 1
4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.500 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.501 * [backup-simplify]: Simplify (+ 0 0) into 0
4.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.501 * [taylor]: Taking taylor expansion of 1 in y
4.502 * [backup-simplify]: Simplify 1 into 1
4.502 * [taylor]: Taking taylor expansion of 0 in y
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify 1 into 1
4.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.505 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
4.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.507 * [taylor]: Taking taylor expansion of 1/2 in y
4.507 * [backup-simplify]: Simplify 1/2 into 1/2
4.507 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.507 * [taylor]: Taking taylor expansion of y in y
4.507 * [backup-simplify]: Simplify 0 into 0
4.507 * [backup-simplify]: Simplify 1 into 1
4.507 * [backup-simplify]: Simplify (* 1 1) into 1
4.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.510 * [backup-simplify]: Simplify 0 into 0
4.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.513 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.513 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.513 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
4.514 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
4.514 * [backup-simplify]: Simplify (+ 0 0) into 0
4.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.515 * [taylor]: Taking taylor expansion of 0 in y
4.515 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify 0 into 0
4.517 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.518 * * * [progress]: simplifying candidates
4.520 * [simplify]: Simplifying:
  (expm1 (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (log1p (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot x y) (hypot x y))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* (hypot x y) (hypot x y))
  (+ 1 1)
  (+ (log (sqrt (hypot x y))) (log (sqrt (hypot x y))))
  (log (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (exp (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))))
  (* (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))))
  (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (* (hypot x y) (hypot x y))
  (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y))))
  (* (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))))
  (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))
  (* (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))))
  (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* 1 1)
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot x y)) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))))
  (* (sqrt (hypot x y)) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))))
  (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y))))
  (* (sqrt (hypot x y)) (sqrt 1))
  (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y))))
  (* (sqrt (hypot x y)) 1)
  (* (cbrt (sqrt (hypot x y))) (sqrt (hypot x y)))
  (* (sqrt (cbrt (hypot x y))) (sqrt (hypot x y)))
  (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y)))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y)))
  (* (sqrt (hypot x y)) (sqrt (hypot x y)))
  (expm1 (sqrt (hypot x y)))
  (log1p (sqrt (hypot x y)))
  (log (sqrt (hypot x y)))
  (exp (sqrt (hypot x y)))
  (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))
  (cbrt (sqrt (hypot x y)))
  (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))
  (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))
  (sqrt (cbrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (sqrt 1)
  (sqrt (hypot x y))
  (/ 1 2)
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (expm1 (sqrt (hypot x y)))
  (log1p (sqrt (hypot x y)))
  (log (sqrt (hypot x y)))
  (exp (sqrt (hypot x y)))
  (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))
  (cbrt (sqrt (hypot x y)))
  (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))
  (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))
  (sqrt (cbrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (sqrt 1)
  (sqrt (hypot x y))
  (/ 1 2)
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (* -1 x)
  (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
  (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
  y
  x
  (* -1 x)
4.522 * * [simplify]: iteration 0: 86 enodes
4.549 * * [simplify]: iteration 1: 191 enodes
4.627 * * [simplify]: iteration 2: 768 enodes
5.575 * * [simplify]: iteration complete: 5000 enodes
5.576 * * [simplify]: Extracting #0: cost 34 inf + 0
5.579 * * [simplify]: Extracting #1: cost 986 inf + 5
5.585 * * [simplify]: Extracting #2: cost 1351 inf + 1161
5.593 * * [simplify]: Extracting #3: cost 402 inf + 9559
5.602 * * [simplify]: Extracting #4: cost 14 inf + 13486
5.607 * * [simplify]: Extracting #5: cost 0 inf + 13633
5.613 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  1
  1
  2
  1
  1
  (* (hypot x y) (hypot x y))
  (hypot x y)
  (* (hypot x y) (hypot x y))
  2
  (log (hypot x y))
  (log (hypot x y))
  (exp (hypot x y))
  (pow (hypot x y) 3)
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (* (hypot x y) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (pow (cbrt (sqrt (hypot x y))) (+ 3 1))
  (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  (hypot x y)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  (hypot x y)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  2
  1
  (* (pow (cbrt (sqrt (hypot x y))) (+ 3 1)) (cbrt (sqrt (hypot x y))))
  (* (sqrt (hypot x y)) (fabs (cbrt (hypot x y))))
  (pow (sqrt (sqrt (hypot x y))) 3)
  (sqrt (hypot x y))
  (pow (sqrt (sqrt (hypot x y))) 3)
  (sqrt (hypot x y))
  (pow (cbrt (sqrt (hypot x y))) (+ 3 1))
  (* (sqrt (hypot x y)) (sqrt (cbrt (hypot x y))))
  (pow (sqrt (sqrt (hypot x y))) 3)
  (hypot x y)
  (pow (sqrt (sqrt (hypot x y))) 3)
  (hypot x y)
  (expm1 (sqrt (hypot x y)))
  (log1p (sqrt (hypot x y)))
  (log (sqrt (hypot x y)))
  (exp (sqrt (hypot x y)))
  (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))
  (cbrt (sqrt (hypot x y)))
  (pow (sqrt (hypot x y)) 3)
  (fabs (cbrt (hypot x y)))
  (sqrt (cbrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  1
  (sqrt (hypot x y))
  1/2
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (expm1 (sqrt (hypot x y)))
  (log1p (sqrt (hypot x y)))
  (log (sqrt (hypot x y)))
  (exp (sqrt (hypot x y)))
  (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))
  (cbrt (sqrt (hypot x y)))
  (pow (sqrt (hypot x y)) 3)
  (fabs (cbrt (hypot x y)))
  (sqrt (cbrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  1
  (sqrt (hypot x y))
  1/2
  (sqrt (sqrt (hypot x y)))
  (sqrt (sqrt (hypot x y)))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma y y (pow x 2))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  x
  (- x)
  (* +nan.0 (+ (- (pow x 2) y) (- (* y y))))
  (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))
  (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))
  (* +nan.0 (+ (- (pow x 2) y) (- (* y y))))
  (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))
  (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x))
  y
  x
  (- x)
5.614 * * * [progress]: adding candidates to table
6.046 * [progress]: [Phase 3 of 3] Extracting.
6.046 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
6.047 * * * [regime-changes]: Trying 3 branch expressions: (z y x)
6.047 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
6.089 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
6.135 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
6.181 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
6.182 * [simplify]: Simplifying:
  (hypot (hypot x y) z)
6.182 * * [simplify]: iteration 0: 5 enodes
6.182 * * [simplify]: iteration complete: 5 enodes
6.182 * * [simplify]: Extracting #0: cost 1 inf + 0
6.182 * * [simplify]: Extracting #1: cost 3 inf + 0
6.182 * * [simplify]: Extracting #2: cost 4 inf + 1
6.182 * * [simplify]: Extracting #3: cost 2 inf + 3
6.182 * * [simplify]: Extracting #4: cost 0 inf + 11
6.182 * [simplify]: Simplified to:
  (hypot (hypot x y) z)
7.659 * [regime-testing]: Baseline error score: 0.004750593824228029
7.668 * [regime-testing]: Oracle error score: 0.004625578197274659
7.687 * [regime-testing]: End program error score: 0.004750593824228029
7.823 * [regime-testing]: Target error score: 24.786703258971635