62.509 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.023 * * * [progress]: [2/2] Setting up program.
0.027 * [progress]: [Phase 2 of 3] Improving.
0.027 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.027 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.027 * * [simplify]: iteration 0: 9 enodes
0.030 * * [simplify]: iteration 1: 14 enodes
0.035 * * [simplify]: iteration 2: 24 enodes
0.041 * * [simplify]: iteration 3: 29 enodes
0.047 * * [simplify]: iteration complete: 29 enodes
0.047 * * [simplify]: Extracting #0: cost 1 inf + 0
0.047 * * [simplify]: Extracting #1: cost 2 inf + 0
0.047 * * [simplify]: Extracting #2: cost 11 inf + 0
0.047 * * [simplify]: Extracting #3: cost 7 inf + 44
0.048 * * [simplify]: Extracting #4: cost 0 inf + 763
0.048 * [simplify]: Simplified to:
  (sqrt (fma z z (fma y y (* x x))))
0.055 * * [progress]: iteration 1 / 4
0.055 * * * [progress]: picking best candidate
0.061 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.061 * * * [progress]: localizing error
0.107 * * * [progress]: generating rewritten candidates
0.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.157 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.166 * * * [progress]: generating series expansions
0.166 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.166 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.166 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.166 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.166 * [taylor]: Taking taylor expansion of y in z
0.166 * [backup-simplify]: Simplify y into y
0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.166 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.166 * [taylor]: Taking taylor expansion of x in z
0.166 * [backup-simplify]: Simplify x into x
0.166 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.166 * [taylor]: Taking taylor expansion of z in z
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.166 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.166 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.166 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.167 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.168 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.168 * [taylor]: Taking taylor expansion of y in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.168 * [taylor]: Taking taylor expansion of x in y
0.168 * [backup-simplify]: Simplify x into x
0.168 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.168 * [taylor]: Taking taylor expansion of z in y
0.168 * [backup-simplify]: Simplify z into z
0.168 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.168 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.168 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.168 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.168 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.168 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.169 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.169 * [taylor]: Taking taylor expansion of y in x
0.169 * [backup-simplify]: Simplify y into y
0.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.169 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.169 * [taylor]: Taking taylor expansion of z in x
0.169 * [backup-simplify]: Simplify z into z
0.169 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.169 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.169 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.170 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.170 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.170 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) 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 (+ (pow y 2) (pow z 2))))) into 0
0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.171 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 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 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.171 * [taylor]: Taking taylor expansion of z in x
0.171 * [backup-simplify]: Simplify z into z
0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.171 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.171 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.171 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.171 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.171 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.171 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.172 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.172 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.172 * [taylor]: Taking taylor expansion of y in y
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.172 * [taylor]: Taking taylor expansion of z in y
0.172 * [backup-simplify]: Simplify z into z
0.172 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.172 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.172 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.173 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.173 * [taylor]: Taking taylor expansion of z in z
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [taylor]: Taking taylor expansion of 0 in y
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [taylor]: Taking taylor expansion of 0 in z
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [taylor]: Taking taylor expansion of 0 in z
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.174 * [backup-simplify]: Simplify (* 1 1) into 1
0.174 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.174 * [backup-simplify]: Simplify (+ 1 0) into 1
0.175 * [backup-simplify]: Simplify (+ 0 1) into 1
0.175 * [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)))))
0.175 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.175 * [taylor]: Taking taylor expansion of 1/2 in y
0.175 * [backup-simplify]: Simplify 1/2 into 1/2
0.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.175 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.175 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.176 * [taylor]: Taking taylor expansion of y in y
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.176 * [taylor]: Taking taylor expansion of z in y
0.176 * [backup-simplify]: Simplify z into z
0.176 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.176 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.176 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.176 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.177 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.177 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.177 * [taylor]: Taking taylor expansion of 1/2 in z
0.177 * [backup-simplify]: Simplify 1/2 into 1/2
0.177 * [taylor]: Taking taylor expansion of z in z
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [taylor]: Taking taylor expansion of 0 in z
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.178 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.179 * [backup-simplify]: Simplify (+ 1 0) into 1
0.179 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.179 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.179 * [taylor]: Taking taylor expansion of 1/2 in z
0.179 * [backup-simplify]: Simplify 1/2 into 1/2
0.179 * [taylor]: Taking taylor expansion of z in z
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.181 * [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)))))
0.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.181 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.181 * [taylor]: Taking taylor expansion of y in z
0.181 * [backup-simplify]: Simplify y into y
0.181 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.181 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.181 * [taylor]: Taking taylor expansion of x in z
0.181 * [backup-simplify]: Simplify x into x
0.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.181 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.181 * [taylor]: Taking taylor expansion of z in z
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (* 1 1) into 1
0.182 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [backup-simplify]: Simplify (+ 0 1) into 1
0.183 * [backup-simplify]: Simplify (+ 0 1) into 1
0.183 * [backup-simplify]: Simplify (sqrt 1) into 1
0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.185 * [taylor]: Taking taylor expansion of y in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (* 1 1) into 1
0.185 * [backup-simplify]: Simplify (/ 1 1) into 1
0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.185 * [taylor]: Taking taylor expansion of x in y
0.185 * [backup-simplify]: Simplify x into x
0.185 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.186 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.186 * [taylor]: Taking taylor expansion of z in y
0.186 * [backup-simplify]: Simplify z into z
0.186 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.186 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.186 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [backup-simplify]: Simplify (sqrt 1) into 1
0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.188 * [taylor]: Taking taylor expansion of y in x
0.188 * [backup-simplify]: Simplify y into y
0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.188 * [taylor]: Taking taylor expansion of x in x
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.189 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.189 * [taylor]: Taking taylor expansion of z in x
0.189 * [backup-simplify]: Simplify z into z
0.189 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.189 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [backup-simplify]: Simplify (+ 0 1) into 1
0.190 * [backup-simplify]: Simplify (sqrt 1) into 1
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [backup-simplify]: Simplify y into y
0.192 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.192 * [taylor]: Taking taylor expansion of x in x
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (* 1 1) into 1
0.193 * [backup-simplify]: Simplify (/ 1 1) into 1
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.193 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.193 * [taylor]: Taking taylor expansion of z in x
0.193 * [backup-simplify]: Simplify z into z
0.193 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.193 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.193 * [backup-simplify]: Simplify (+ 1 0) into 1
0.193 * [backup-simplify]: Simplify (+ 0 1) into 1
0.194 * [backup-simplify]: Simplify (sqrt 1) into 1
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.196 * [taylor]: Taking taylor expansion of 1 in y
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [taylor]: Taking taylor expansion of 1 in z
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.197 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.198 * [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))))
0.198 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 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 y 2)) (/ 1 (pow z 2))) in y
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* 1 1) into 1
0.199 * [backup-simplify]: Simplify (/ 1 1) into 1
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.199 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.199 * [taylor]: Taking taylor expansion of z in y
0.199 * [backup-simplify]: Simplify z into z
0.199 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (+ 1 0) into 1
0.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.201 * [taylor]: Taking taylor expansion of 0 in z
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [taylor]: Taking taylor expansion of 0 in z
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [taylor]: Taking taylor expansion of 0 in z
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.209 * [taylor]: Taking taylor expansion of 0 in y
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.213 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.213 * [taylor]: Taking taylor expansion of 1/2 in z
0.214 * [backup-simplify]: Simplify 1/2 into 1/2
0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.214 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.214 * [taylor]: Taking taylor expansion of z in z
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (* 1 1) into 1
0.215 * [backup-simplify]: Simplify (/ 1 1) into 1
0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
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 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [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))))))
0.226 * [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
0.226 * [taylor]: Taking taylor expansion of -1/2 in y
0.226 * [backup-simplify]: Simplify -1/2 into -1/2
0.226 * [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
0.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.226 * [taylor]: Taking taylor expansion of 1/2 in y
0.226 * [backup-simplify]: Simplify 1/2 into 1/2
0.226 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.226 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.226 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.226 * [taylor]: Taking taylor expansion of z in y
0.227 * [backup-simplify]: Simplify z into z
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
0.227 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.227 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.228 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.228 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.228 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.228 * [taylor]: Taking taylor expansion of 1/4 in y
0.228 * [backup-simplify]: Simplify 1/4 into 1/4
0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.228 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.228 * [taylor]: Taking taylor expansion of y in y
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (* 1 1) into 1
0.229 * [backup-simplify]: Simplify (* 1 1) into 1
0.229 * [backup-simplify]: Simplify (/ 1 1) into 1
0.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.229 * [taylor]: Taking taylor expansion of 1/4 in y
0.229 * [backup-simplify]: Simplify 1/4 into 1/4
0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.229 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.229 * [taylor]: Taking taylor expansion of z in y
0.229 * [backup-simplify]: Simplify z into z
0.230 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.230 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.230 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.231 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.232 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.248 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.248 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.249 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.250 * [taylor]: Taking taylor expansion of 0 in z
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [taylor]: Taking taylor expansion of 0 in z
0.250 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.253 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.254 * [taylor]: Taking taylor expansion of 0 in z
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in z
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in z
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.258 * [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)))))
0.258 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.258 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.258 * [taylor]: Taking taylor expansion of y in z
0.258 * [backup-simplify]: Simplify y into y
0.258 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.258 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.258 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.258 * [taylor]: Taking taylor expansion of x in z
0.258 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.259 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.259 * [taylor]: Taking taylor expansion of z in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [backup-simplify]: Simplify (+ 0 1) into 1
0.260 * [backup-simplify]: Simplify (+ 0 1) into 1
0.260 * [backup-simplify]: Simplify (sqrt 1) into 1
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.262 * [taylor]: Taking taylor expansion of y in y
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.263 * [taylor]: Taking taylor expansion of x in y
0.263 * [backup-simplify]: Simplify x into x
0.263 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.263 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.263 * [taylor]: Taking taylor expansion of z in y
0.263 * [backup-simplify]: Simplify z into z
0.263 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.266 * [taylor]: Taking taylor expansion of y in x
0.266 * [backup-simplify]: Simplify y into y
0.267 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.267 * [taylor]: Taking taylor expansion of x in x
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.267 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.267 * [taylor]: Taking taylor expansion of z in x
0.267 * [backup-simplify]: Simplify z into z
0.268 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.268 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.268 * [backup-simplify]: Simplify (+ 1 0) into 1
0.268 * [backup-simplify]: Simplify (+ 0 1) into 1
0.269 * [backup-simplify]: Simplify (sqrt 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.271 * [backup-simplify]: Simplify y into y
0.271 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.271 * [taylor]: Taking taylor expansion of x in x
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.272 * [taylor]: Taking taylor expansion of z in x
0.272 * [backup-simplify]: Simplify z into z
0.272 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (+ 0 1) into 1
0.273 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.274 * [taylor]: Taking taylor expansion of 1 in y
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [taylor]: Taking taylor expansion of 0 in y
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [taylor]: Taking taylor expansion of 1 in z
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.276 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.277 * [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))))
0.277 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
0.277 * [taylor]: Taking taylor expansion of 1/2 in y
0.277 * [backup-simplify]: Simplify 1/2 into 1/2
0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.277 * [taylor]: Taking taylor expansion of y in y
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.278 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.278 * [taylor]: Taking taylor expansion of z in y
0.278 * [backup-simplify]: Simplify z into z
0.278 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.278 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in z
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [taylor]: Taking taylor expansion of 0 in z
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [taylor]: Taking taylor expansion of 0 in z
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.283 * [taylor]: Taking taylor expansion of 0 in y
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [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 (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.285 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.285 * [taylor]: Taking taylor expansion of 1/2 in z
0.285 * [backup-simplify]: Simplify 1/2 into 1/2
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.285 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.285 * [taylor]: Taking taylor expansion of z in z
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (* 1 1) into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [taylor]: Taking taylor expansion of 0 in z
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [taylor]: Taking taylor expansion of 0 in z
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [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))))))
0.297 * [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
0.297 * [taylor]: Taking taylor expansion of -1/2 in y
0.297 * [backup-simplify]: Simplify -1/2 into -1/2
0.297 * [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
0.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.297 * [taylor]: Taking taylor expansion of 1/2 in y
0.297 * [backup-simplify]: Simplify 1/2 into 1/2
0.297 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.297 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.297 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.297 * [taylor]: Taking taylor expansion of z in y
0.297 * [backup-simplify]: Simplify z into z
0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.297 * [taylor]: Taking taylor expansion of y in y
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.298 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
0.298 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.298 * [taylor]: Taking taylor expansion of 1/4 in y
0.298 * [backup-simplify]: Simplify 1/4 into 1/4
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.298 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.298 * [taylor]: Taking taylor expansion of y in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.300 * [taylor]: Taking taylor expansion of 1/4 in y
0.300 * [backup-simplify]: Simplify 1/4 into 1/4
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.300 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.300 * [taylor]: Taking taylor expansion of z in y
0.300 * [backup-simplify]: Simplify z into z
0.300 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.301 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.301 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.303 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.313 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.314 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.314 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.315 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.315 * [taylor]: Taking taylor expansion of 0 in z
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [taylor]: Taking taylor expansion of 0 in z
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in z
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [taylor]: Taking taylor expansion of 0 in z
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [taylor]: Taking taylor expansion of 0 in z
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.320 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.321 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
0.321 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
0.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.321 * [taylor]: Taking taylor expansion of y in y
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.321 * [taylor]: Taking taylor expansion of x in y
0.321 * [backup-simplify]: Simplify x into x
0.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.321 * [taylor]: Taking taylor expansion of y in x
0.321 * [backup-simplify]: Simplify y into y
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.321 * [taylor]: Taking taylor expansion of y in x
0.321 * [backup-simplify]: Simplify y into y
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.321 * [taylor]: Taking taylor expansion of x in x
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.321 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.321 * [taylor]: Taking taylor expansion of y in y
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in y
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (+ 0 1) into 1
0.323 * [taylor]: Taking taylor expansion of 1 in y
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in y
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
0.327 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.327 * [taylor]: Taking taylor expansion of y in y
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.328 * [taylor]: Taking taylor expansion of x in y
0.328 * [backup-simplify]: Simplify x into x
0.328 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.328 * [taylor]: Taking taylor expansion of y in x
0.328 * [backup-simplify]: Simplify y into y
0.328 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.328 * [taylor]: Taking taylor expansion of x in x
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.329 * [taylor]: Taking taylor expansion of y in x
0.329 * [backup-simplify]: Simplify y into y
0.329 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.329 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.329 * [taylor]: Taking taylor expansion of x in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 0 1) into 1
0.330 * [taylor]: Taking taylor expansion of 1 in y
0.330 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in y
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.333 * [taylor]: Taking taylor expansion of y in y
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (* 1 1) into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in y
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in y
0.345 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
0.348 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.348 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.348 * [taylor]: Taking taylor expansion of y in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [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 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)
0.350 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.350 * [taylor]: Taking taylor expansion of y in x
0.350 * [backup-simplify]: Simplify y into y
0.350 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.350 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.350 * [taylor]: Taking taylor expansion of x in x
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 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
0.352 * [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)) 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
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.353 * [backup-simplify]: Simplify (/ 1 1) into 1
0.353 * [backup-simplify]: Simplify (+ 0 1) into 1
0.353 * [taylor]: Taking taylor expansion of 1 in y
0.353 * [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
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [taylor]: Taking taylor expansion of 0 in y
0.356 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.358 * [taylor]: Taking taylor expansion of y in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [taylor]: Taking taylor expansion of 0 in y
0.369 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
0.372 * * * [progress]: simplifying candidates
0.372 * * * * [progress]: [ 1 / 40 ] simplifiying candidate #<alt (λ (x y z) (log1p (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.372 * * * * [progress]: [ 2 / 40 ] simplifiying candidate #<alt (λ (x y z) (expm1 (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.372 * * * * [progress]: [ 3 / 40 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
0.372 * * * * [progress]: [ 4 / 40 ] simplifiying candidate #<alt (λ (x y z) (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2))>
0.372 * * * * [progress]: [ 5 / 40 ] simplifiying candidate #<alt (λ (x y z) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))>
0.372 * * * * [progress]: [ 6 / 40 ] simplifiying candidate #<alt (λ (x y z) (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.372 * * * * [progress]: [ 7 / 40 ] simplifiying candidate #<alt (λ (x y z) (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.373 * * * * [progress]: [ 8 / 40 ] simplifiying candidate #<alt (λ (x y 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))))))>
0.373 * * * * [progress]: [ 9 / 40 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.373 * * * * [progress]: [ 10 / 40 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.373 * * * * [progress]: [ 11 / 40 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.373 * * * * [progress]: [ 12 / 40 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))>
0.373 * * * * [progress]: [ 13 / 40 ] simplifiying candidate #<alt (λ (x y 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)))))))>
0.373 * * * * [progress]: [ 14 / 40 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))>
0.373 * * * * [progress]: [ 15 / 40 ] simplifiying candidate #<alt (λ (x y z) (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)))>
0.373 * * * * [progress]: [ 16 / 40 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.373 * * * * [progress]: [ 17 / 40 ] simplifiying candidate #<alt (λ (x y z) (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))))>
0.373 * * * * [progress]: [ 18 / 40 ] simplifiying candidate #<alt (λ (x y z) (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))))>
0.373 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
0.373 * * * * [progress]: [ 20 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (log1p (expm1 (+ (* x x) (* y y)))) (* z z))))>
0.373 * * * * [progress]: [ 21 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (expm1 (log1p (+ (* x x) (* y y)))) (* z z))))>
0.373 * * * * [progress]: [ 22 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (fma x x (* y y)) (* z z))))>
0.374 * * * * [progress]: [ 23 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (log (* (exp (* x x)) (exp (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 24 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (pow (+ (* x x) (* y y)) 1) (* z z))))>
0.374 * * * * [progress]: [ 25 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (exp (log (+ (* x x) (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 26 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (log (exp (+ (* x x) (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 27 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 28 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 29 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 30 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* z z))))>
0.374 * * * * [progress]: [ 31 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 1 (+ (* x x) (* y y))) (* z z))))>
0.374 * * * * [progress]: [ 32 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* z z))))>
0.374 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (posit16->real (real->posit16 (+ (* x x) (* y y)))) (* z z))))>
0.374 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (+ (* y y) (* x x)) (* z z))))>
0.374 * * * * [progress]: [ 35 / 40 ] simplifiying candidate #<alt (λ (x y z) z)>
0.374 * * * * [progress]: [ 36 / 40 ] simplifiying candidate #<alt (λ (x y z) x)>
0.374 * * * * [progress]: [ 37 / 40 ] simplifiying candidate #<alt (λ (x y z) (* -1 x))>
0.374 * * * * [progress]: [ 38 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (+ (pow y 2) (pow x 2)) (* z z))))>
0.375 * * * * [progress]: [ 39 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (+ (pow y 2) (pow x 2)) (* z z))))>
0.375 * * * * [progress]: [ 40 / 40 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (+ (pow y 2) (pow x 2)) (* z z))))>
0.375 * [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))))
  (real->posit16 (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))
  (real->posit16 (+ (* x x) (* y y)))
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
0.377 * * [simplify]: iteration 0: 69 enodes
0.409 * * [simplify]: iteration 1: 188 enodes
0.524 * * [simplify]: iteration 2: 608 enodes
0.740 * * [simplify]: iteration complete: 2004 enodes
0.740 * * [simplify]: Extracting #0: cost 35 inf + 0
0.740 * * [simplify]: Extracting #1: cost 190 inf + 45
0.742 * * [simplify]: Extracting #2: cost 543 inf + 2826
0.755 * * [simplify]: Extracting #3: cost 347 inf + 47191
0.776 * * [simplify]: Extracting #4: cost 91 inf + 105910
0.821 * * [simplify]: Extracting #5: cost 10 inf + 120777
0.848 * * [simplify]: Extracting #6: cost 0 inf + 123727
0.880 * * [simplify]: Extracting #7: cost 0 inf + 123687
0.904 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma y y (* x x)))))
  (log1p (sqrt (fma z z (fma y y (* x x)))))
  (log (sqrt (fma z z (fma y y (* x x)))))
  (exp (sqrt (fma z z (fma y y (* x x)))))
  (* (cbrt (sqrt (fma z z (fma y y (* x x))))) (cbrt (sqrt (fma z z (fma y y (* x x))))))
  (cbrt (sqrt (fma z z (fma y y (* x x)))))
  (* (fma z z (fma y y (* x x))) (sqrt (fma z z (fma y y (* x x)))))
  (fabs (cbrt (fma z z (fma y y (* x x)))))
  (sqrt (cbrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  1
  (sqrt (fma z z (fma y y (* x x))))
  (sqrt (fma (* (* z z) (* z z)) (* z z) (* (fma y y (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))))
  (sqrt (fma (fma y y (* x x)) (fma y y (* x x)) (* (* z z) (- (* z z) (fma y y (* x x))))))
  (sqrt (- (* (fma y y (* x x)) (fma y y (* x x))) (* (* z z) (* z z))))
  (sqrt (- (fma y y (* x x)) (* z z)))
  1/2
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (real->posit16 (sqrt (fma z z (fma y y (* x x)))))
  (expm1 (fma y y (* x x)))
  (log1p (fma y y (* x x)))
  (exp (fma y y (* x x)))
  (log (fma y y (* x 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)))
  (* (fma y y (* x x)) (* (fma y y (* x x)) (fma y y (* x x))))
  (hypot x y)
  (hypot x y)
  (fma (* (* x x) x) (* (* x x) x) (* (* y y) (* (* y y) (* y y))))
  (fma (* x x) (* x x) (* (* y y) (- (* y y) (* x x))))
  (* (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (- (* x x) (* y y))
  (real->posit16 (fma y y (* x x)))
  z
  x
  (- x)
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y y (* x x))
0.906 * * * [progress]: adding candidates to table
1.146 * * [progress]: iteration 2 / 4
1.146 * * * [progress]: picking best candidate
1.161 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
1.162 * * * [progress]: localizing error
1.191 * * * [progress]: generating rewritten candidates
1.192 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.210 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
1.211 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
1.226 * * * [progress]: generating series expansions
1.226 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.227 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
1.227 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.227 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.227 * [taylor]: Taking taylor expansion of y in y
1.227 * [backup-simplify]: Simplify 0 into 0
1.227 * [backup-simplify]: Simplify 1 into 1
1.227 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.227 * [taylor]: Taking taylor expansion of x in y
1.227 * [backup-simplify]: Simplify x into x
1.227 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.227 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.227 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.227 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.229 * [backup-simplify]: Simplify (+ 0 0) into 0
1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.229 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.229 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.229 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.229 * [taylor]: Taking taylor expansion of y in x
1.229 * [backup-simplify]: Simplify y into y
1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.229 * [taylor]: Taking taylor expansion of x in x
1.229 * [backup-simplify]: Simplify 0 into 0
1.229 * [backup-simplify]: Simplify 1 into 1
1.230 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.230 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.230 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.230 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.231 * [backup-simplify]: Simplify (+ 0 0) into 0
1.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.231 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.231 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.231 * [taylor]: Taking taylor expansion of y in x
1.231 * [backup-simplify]: Simplify y into y
1.231 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.231 * [taylor]: Taking taylor expansion of x in x
1.231 * [backup-simplify]: Simplify 0 into 0
1.231 * [backup-simplify]: Simplify 1 into 1
1.231 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.231 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.231 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.232 * [backup-simplify]: Simplify (+ 0 0) into 0
1.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.232 * [taylor]: Taking taylor expansion of y in y
1.232 * [backup-simplify]: Simplify 0 into 0
1.232 * [backup-simplify]: Simplify 1 into 1
1.232 * [backup-simplify]: Simplify 0 into 0
1.232 * [taylor]: Taking taylor expansion of 0 in y
1.232 * [backup-simplify]: Simplify 0 into 0
1.232 * [backup-simplify]: Simplify 0 into 0
1.232 * [backup-simplify]: Simplify 1 into 1
1.233 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.233 * [backup-simplify]: Simplify (* 1 1) into 1
1.234 * [backup-simplify]: Simplify (+ 0 1) into 1
1.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.235 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.235 * [taylor]: Taking taylor expansion of 1/2 in y
1.235 * [backup-simplify]: Simplify 1/2 into 1/2
1.235 * [taylor]: Taking taylor expansion of y in y
1.235 * [backup-simplify]: Simplify 0 into 0
1.235 * [backup-simplify]: Simplify 1 into 1
1.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.236 * [backup-simplify]: Simplify 0 into 0
1.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.238 * [backup-simplify]: Simplify (+ 0 0) into 0
1.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
1.239 * [taylor]: Taking taylor expansion of 0 in y
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
1.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.240 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.240 * [taylor]: Taking taylor expansion of y in y
1.240 * [backup-simplify]: Simplify 0 into 0
1.240 * [backup-simplify]: Simplify 1 into 1
1.241 * [backup-simplify]: Simplify (* 1 1) into 1
1.241 * [backup-simplify]: Simplify (/ 1 1) into 1
1.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.242 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.242 * [taylor]: Taking taylor expansion of x in y
1.242 * [backup-simplify]: Simplify x into x
1.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.242 * [backup-simplify]: Simplify (+ 1 0) into 1
1.243 * [backup-simplify]: Simplify (sqrt 1) into 1
1.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.245 * [backup-simplify]: Simplify (+ 0 0) into 0
1.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.246 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.246 * [taylor]: Taking taylor expansion of y in x
1.246 * [backup-simplify]: Simplify y into y
1.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.246 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.246 * [taylor]: Taking taylor expansion of x in x
1.246 * [backup-simplify]: Simplify 0 into 0
1.246 * [backup-simplify]: Simplify 1 into 1
1.247 * [backup-simplify]: Simplify (* 1 1) into 1
1.247 * [backup-simplify]: Simplify (/ 1 1) into 1
1.248 * [backup-simplify]: Simplify (+ 0 1) into 1
1.248 * [backup-simplify]: Simplify (sqrt 1) into 1
1.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.250 * [backup-simplify]: Simplify (+ 0 0) into 0
1.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.251 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.251 * [taylor]: Taking taylor expansion of y in x
1.251 * [backup-simplify]: Simplify y into y
1.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.251 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.251 * [taylor]: Taking taylor expansion of x in x
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 1 into 1
1.252 * [backup-simplify]: Simplify (* 1 1) into 1
1.253 * [backup-simplify]: Simplify (/ 1 1) into 1
1.253 * [backup-simplify]: Simplify (+ 0 1) into 1
1.254 * [backup-simplify]: Simplify (sqrt 1) into 1
1.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.256 * [backup-simplify]: Simplify (+ 0 0) into 0
1.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.256 * [taylor]: Taking taylor expansion of 1 in y
1.256 * [backup-simplify]: Simplify 1 into 1
1.257 * [taylor]: Taking taylor expansion of 0 in y
1.257 * [backup-simplify]: Simplify 0 into 0
1.257 * [backup-simplify]: Simplify 1 into 1
1.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.259 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.261 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.261 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.261 * [taylor]: Taking taylor expansion of 1/2 in y
1.261 * [backup-simplify]: Simplify 1/2 into 1/2
1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.261 * [taylor]: Taking taylor expansion of y in y
1.261 * [backup-simplify]: Simplify 0 into 0
1.261 * [backup-simplify]: Simplify 1 into 1
1.262 * [backup-simplify]: Simplify (* 1 1) into 1
1.262 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify 0 into 0
1.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.269 * [taylor]: Taking taylor expansion of 0 in y
1.269 * [backup-simplify]: Simplify 0 into 0
1.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.271 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
1.272 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.272 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
1.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.272 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.272 * [taylor]: Taking taylor expansion of y in y
1.272 * [backup-simplify]: Simplify 0 into 0
1.272 * [backup-simplify]: Simplify 1 into 1
1.273 * [backup-simplify]: Simplify (* 1 1) into 1
1.273 * [backup-simplify]: Simplify (/ 1 1) into 1
1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.273 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.273 * [taylor]: Taking taylor expansion of x in y
1.273 * [backup-simplify]: Simplify x into x
1.273 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.273 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.274 * [backup-simplify]: Simplify (+ 1 0) into 1
1.274 * [backup-simplify]: Simplify (sqrt 1) into 1
1.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.276 * [backup-simplify]: Simplify (+ 0 0) into 0
1.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.277 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.277 * [taylor]: Taking taylor expansion of y in x
1.277 * [backup-simplify]: Simplify y into y
1.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.277 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.277 * [taylor]: Taking taylor expansion of x in x
1.277 * [backup-simplify]: Simplify 0 into 0
1.277 * [backup-simplify]: Simplify 1 into 1
1.278 * [backup-simplify]: Simplify (* 1 1) into 1
1.278 * [backup-simplify]: Simplify (/ 1 1) into 1
1.279 * [backup-simplify]: Simplify (+ 0 1) into 1
1.279 * [backup-simplify]: Simplify (sqrt 1) into 1
1.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.282 * [taylor]: Taking taylor expansion of y in x
1.282 * [backup-simplify]: Simplify y into y
1.282 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.282 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.282 * [taylor]: Taking taylor expansion of x in x
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 1 into 1
1.283 * [backup-simplify]: Simplify (* 1 1) into 1
1.283 * [backup-simplify]: Simplify (/ 1 1) into 1
1.284 * [backup-simplify]: Simplify (+ 0 1) into 1
1.284 * [backup-simplify]: Simplify (sqrt 1) into 1
1.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.286 * [backup-simplify]: Simplify (+ 0 0) into 0
1.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.287 * [taylor]: Taking taylor expansion of 1 in y
1.287 * [backup-simplify]: Simplify 1 into 1
1.287 * [taylor]: Taking taylor expansion of 0 in y
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 1 into 1
1.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.290 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
1.292 * [taylor]: Taking taylor expansion of 1/2 in y
1.292 * [backup-simplify]: Simplify 1/2 into 1/2
1.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.292 * [taylor]: Taking taylor expansion of y in y
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 1 into 1
1.293 * [backup-simplify]: Simplify (* 1 1) into 1
1.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 0 into 0
1.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.299 * [backup-simplify]: Simplify (+ 0 0) into 0
1.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.300 * [taylor]: Taking taylor expansion of 0 in y
1.300 * [backup-simplify]: Simplify 0 into 0
1.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 0 into 0
1.303 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
1.303 * * * * [progress]: [ 2 / 3 ] generating series at (2)
1.303 * [backup-simplify]: Simplify (hypot (sqrt (+ (* x x) (* y y))) z) into (hypot (sqrt (+ (pow y 2) (pow x 2))) z)
1.303 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow y 2) (pow x 2))) z) in (x y z) around 0
1.303 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow y 2) (pow x 2))) z) in z
1.303 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)))
1.303 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)) in z
1.303 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) in z
1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in z
1.303 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in z
1.303 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.303 * [taylor]: Taking taylor expansion of y in z
1.303 * [backup-simplify]: Simplify y into y
1.303 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.303 * [taylor]: Taking taylor expansion of x in z
1.303 * [backup-simplify]: Simplify x into x
1.303 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.303 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.304 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.304 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.304 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.304 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.305 * [backup-simplify]: Simplify (+ 0 0) into 0
1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in z
1.305 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in z
1.305 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.305 * [taylor]: Taking taylor expansion of y in z
1.305 * [backup-simplify]: Simplify y into y
1.305 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.305 * [taylor]: Taking taylor expansion of x in z
1.305 * [backup-simplify]: Simplify x into x
1.305 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.305 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.305 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.305 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.306 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.306 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.306 * [backup-simplify]: Simplify (+ 0 0) into 0
1.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.307 * [taylor]: Taking taylor expansion of (* z z) in z
1.307 * [taylor]: Taking taylor expansion of z in z
1.307 * [backup-simplify]: Simplify 0 into 0
1.307 * [backup-simplify]: Simplify 1 into 1
1.307 * [taylor]: Taking taylor expansion of z in z
1.307 * [backup-simplify]: Simplify 0 into 0
1.307 * [backup-simplify]: Simplify 1 into 1
1.307 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) into (+ (pow y 2) (pow x 2))
1.308 * [backup-simplify]: Simplify (* 0 0) into 0
1.308 * [backup-simplify]: Simplify (+ (+ (pow y 2) (pow x 2)) 0) into (+ (pow y 2) (pow x 2))
1.308 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.308 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow x 2))) 0) (* 0 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.309 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.310 * [backup-simplify]: Simplify (+ 0 0) into 0
1.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.310 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow y 2) (pow x 2))) z) in y
1.310 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)))
1.310 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)) in y
1.310 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) in y
1.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.310 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.310 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.311 * [taylor]: Taking taylor expansion of y in y
1.311 * [backup-simplify]: Simplify 0 into 0
1.311 * [backup-simplify]: Simplify 1 into 1
1.311 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.311 * [taylor]: Taking taylor expansion of x in y
1.311 * [backup-simplify]: Simplify x into x
1.311 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.311 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.311 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.311 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.312 * [backup-simplify]: Simplify (+ 0 0) into 0
1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
1.312 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.312 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.312 * [taylor]: Taking taylor expansion of y in y
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 1 into 1
1.312 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.312 * [taylor]: Taking taylor expansion of x in y
1.312 * [backup-simplify]: Simplify x into x
1.312 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.312 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.312 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
1.312 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.313 * [backup-simplify]: Simplify (+ 0 0) into 0
1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
1.313 * [taylor]: Taking taylor expansion of (* z z) in y
1.313 * [taylor]: Taking taylor expansion of z in y
1.313 * [backup-simplify]: Simplify z into z
1.313 * [taylor]: Taking taylor expansion of z in y
1.313 * [backup-simplify]: Simplify z into z
1.313 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.313 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.313 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.314 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.314 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.314 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.314 * [backup-simplify]: Simplify (+ 0 0) into 0
1.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.315 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow y 2) (pow x 2))) z) in x
1.315 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)))
1.315 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)) in x
1.315 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) in x
1.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.315 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.315 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.315 * [taylor]: Taking taylor expansion of y in x
1.315 * [backup-simplify]: Simplify y into y
1.315 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.315 * [taylor]: Taking taylor expansion of x in x
1.315 * [backup-simplify]: Simplify 0 into 0
1.315 * [backup-simplify]: Simplify 1 into 1
1.315 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.315 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.315 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.316 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.316 * [taylor]: Taking taylor expansion of y in x
1.316 * [backup-simplify]: Simplify y into y
1.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.316 * [taylor]: Taking taylor expansion of x in x
1.316 * [backup-simplify]: Simplify 0 into 0
1.316 * [backup-simplify]: Simplify 1 into 1
1.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.317 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.317 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.317 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.317 * [backup-simplify]: Simplify (+ 0 0) into 0
1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.318 * [taylor]: Taking taylor expansion of (* z z) in x
1.318 * [taylor]: Taking taylor expansion of z in x
1.318 * [backup-simplify]: Simplify z into z
1.318 * [taylor]: Taking taylor expansion of z in x
1.318 * [backup-simplify]: Simplify z into z
1.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.318 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.318 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.318 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.318 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.318 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.319 * [backup-simplify]: Simplify (+ 0 0) into 0
1.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.319 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow y 2) (pow x 2))) z) in x
1.319 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)))
1.319 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) (* z z)) in x
1.319 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) in x
1.319 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.319 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.319 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.320 * [taylor]: Taking taylor expansion of y in x
1.320 * [backup-simplify]: Simplify y into y
1.320 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.320 * [taylor]: Taking taylor expansion of x in x
1.320 * [backup-simplify]: Simplify 0 into 0
1.320 * [backup-simplify]: Simplify 1 into 1
1.320 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.320 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.320 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.321 * [backup-simplify]: Simplify (+ 0 0) into 0
1.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
1.321 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.321 * [taylor]: Taking taylor expansion of y in x
1.321 * [backup-simplify]: Simplify y into y
1.321 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.321 * [taylor]: Taking taylor expansion of x in x
1.321 * [backup-simplify]: Simplify 0 into 0
1.321 * [backup-simplify]: Simplify 1 into 1
1.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.321 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.321 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.322 * [backup-simplify]: Simplify (+ 0 0) into 0
1.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.322 * [taylor]: Taking taylor expansion of (* z z) in x
1.322 * [taylor]: Taking taylor expansion of z in x
1.322 * [backup-simplify]: Simplify z into z
1.322 * [taylor]: Taking taylor expansion of z in x
1.322 * [backup-simplify]: Simplify z into z
1.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.322 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.323 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.323 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.323 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.324 * [backup-simplify]: Simplify (+ 0 0) into 0
1.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.324 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.324 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.324 * [taylor]: Taking taylor expansion of y in y
1.324 * [backup-simplify]: Simplify 0 into 0
1.324 * [backup-simplify]: Simplify 1 into 1
1.324 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.324 * [taylor]: Taking taylor expansion of z in y
1.324 * [backup-simplify]: Simplify z into z
1.324 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.324 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.324 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.324 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.325 * [backup-simplify]: Simplify (+ 0 0) into 0
1.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.325 * [taylor]: Taking taylor expansion of z in z
1.325 * [backup-simplify]: Simplify 0 into 0
1.325 * [backup-simplify]: Simplify 1 into 1
1.325 * [backup-simplify]: Simplify 0 into 0
1.325 * [taylor]: Taking taylor expansion of 0 in y
1.325 * [backup-simplify]: Simplify 0 into 0
1.326 * [taylor]: Taking taylor expansion of 0 in z
1.326 * [backup-simplify]: Simplify 0 into 0
1.326 * [backup-simplify]: Simplify 0 into 0
1.326 * [taylor]: Taking taylor expansion of 0 in z
1.326 * [backup-simplify]: Simplify 0 into 0
1.326 * [backup-simplify]: Simplify 0 into 0
1.326 * [backup-simplify]: Simplify 1 into 1
1.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.327 * [backup-simplify]: Simplify (* 1 1) into 1
1.327 * [backup-simplify]: Simplify (+ 0 1) into 1
1.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.329 * [backup-simplify]: Simplify (* 1 1) into 1
1.330 * [backup-simplify]: Simplify (+ 0 1) into 1
1.331 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.332 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
1.332 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.333 * [backup-simplify]: Simplify (+ 1 0) into 1
1.334 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
1.334 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.334 * [taylor]: Taking taylor expansion of 1/2 in y
1.334 * [backup-simplify]: Simplify 1/2 into 1/2
1.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.334 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.334 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.334 * [taylor]: Taking taylor expansion of y in y
1.334 * [backup-simplify]: Simplify 0 into 0
1.334 * [backup-simplify]: Simplify 1 into 1
1.334 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.334 * [taylor]: Taking taylor expansion of z in y
1.334 * [backup-simplify]: Simplify z into z
1.334 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.334 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.334 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.335 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.335 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.335 * [backup-simplify]: Simplify (+ 0 0) into 0
1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.336 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.336 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.336 * [taylor]: Taking taylor expansion of 1/2 in z
1.336 * [backup-simplify]: Simplify 1/2 into 1/2
1.336 * [taylor]: Taking taylor expansion of z in z
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify 1 into 1
1.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [taylor]: Taking taylor expansion of 0 in z
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify (* 1 1) into 1
1.339 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.339 * [backup-simplify]: Simplify (+ 1 0) into 1
1.340 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.340 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.340 * [taylor]: Taking taylor expansion of 1/2 in z
1.340 * [backup-simplify]: Simplify 1/2 into 1/2
1.340 * [taylor]: Taking taylor expansion of z in z
1.340 * [backup-simplify]: Simplify 0 into 0
1.340 * [backup-simplify]: Simplify 1 into 1
1.340 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.341 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify 0 into 0
1.341 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.341 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ 1 z)) into (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ 1 z))
1.341 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ 1 z)) in (x y z) around 0
1.341 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ 1 z)) in z
1.341 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))))
1.341 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))) in z
1.341 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in z
1.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in z
1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in z
1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.341 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.341 * [taylor]: Taking taylor expansion of y in z
1.342 * [backup-simplify]: Simplify y into y
1.342 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.342 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.342 * [taylor]: Taking taylor expansion of x in z
1.342 * [backup-simplify]: Simplify x into x
1.342 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.342 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.342 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.342 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.342 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.342 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
1.343 * [backup-simplify]: Simplify (+ 0 0) into 0
1.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
1.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in z
1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in z
1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.343 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.343 * [taylor]: Taking taylor expansion of y in z
1.343 * [backup-simplify]: Simplify y into y
1.343 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.343 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.343 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.343 * [taylor]: Taking taylor expansion of x in z
1.343 * [backup-simplify]: Simplify x into x
1.343 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.343 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.343 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.343 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.343 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.344 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
1.344 * [backup-simplify]: Simplify (+ 0 0) into 0
1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
1.344 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.344 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.344 * [taylor]: Taking taylor expansion of z in z
1.344 * [backup-simplify]: Simplify 0 into 0
1.344 * [backup-simplify]: Simplify 1 into 1
1.345 * [backup-simplify]: Simplify (/ 1 1) into 1
1.345 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.345 * [taylor]: Taking taylor expansion of z in z
1.345 * [backup-simplify]: Simplify 0 into 0
1.345 * [backup-simplify]: Simplify 1 into 1
1.345 * [backup-simplify]: Simplify (/ 1 1) into 1
1.345 * [backup-simplify]: Simplify (* 1 1) into 1
1.346 * [backup-simplify]: Simplify (+ 0 1) into 1
1.346 * [backup-simplify]: Simplify (sqrt 1) into 1
1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.348 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ 1 z)) in y
1.348 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))))
1.348 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))) in y
1.348 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.348 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.348 * [taylor]: Taking taylor expansion of y in y
1.348 * [backup-simplify]: Simplify 0 into 0
1.348 * [backup-simplify]: Simplify 1 into 1
1.348 * [backup-simplify]: Simplify (* 1 1) into 1
1.349 * [backup-simplify]: Simplify (/ 1 1) into 1
1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.349 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.349 * [taylor]: Taking taylor expansion of x in y
1.349 * [backup-simplify]: Simplify x into x
1.349 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.349 * [backup-simplify]: Simplify (+ 1 0) into 1
1.349 * [backup-simplify]: Simplify (sqrt 1) into 1
1.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.351 * [backup-simplify]: Simplify (+ 0 0) into 0
1.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.351 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.351 * [taylor]: Taking taylor expansion of y in y
1.351 * [backup-simplify]: Simplify 0 into 0
1.351 * [backup-simplify]: Simplify 1 into 1
1.351 * [backup-simplify]: Simplify (* 1 1) into 1
1.352 * [backup-simplify]: Simplify (/ 1 1) into 1
1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.352 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.352 * [taylor]: Taking taylor expansion of x in y
1.352 * [backup-simplify]: Simplify x into x
1.352 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.352 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.352 * [backup-simplify]: Simplify (+ 1 0) into 1
1.352 * [backup-simplify]: Simplify (sqrt 1) into 1
1.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.353 * [backup-simplify]: Simplify (+ 0 0) into 0
1.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.354 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
1.354 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.354 * [taylor]: Taking taylor expansion of z in y
1.354 * [backup-simplify]: Simplify z into z
1.354 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.354 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.354 * [taylor]: Taking taylor expansion of z in y
1.354 * [backup-simplify]: Simplify z into z
1.354 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.354 * [backup-simplify]: Simplify (* 1 1) into 1
1.355 * [backup-simplify]: Simplify (+ 1 0) into 1
1.355 * [backup-simplify]: Simplify (sqrt 1) into 1
1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.356 * [backup-simplify]: Simplify (+ 0 0) into 0
1.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.356 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ 1 z)) in x
1.356 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))))
1.356 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))) in x
1.356 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.356 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.356 * [taylor]: Taking taylor expansion of y in x
1.356 * [backup-simplify]: Simplify y into y
1.356 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.356 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.356 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.356 * [taylor]: Taking taylor expansion of x in x
1.356 * [backup-simplify]: Simplify 0 into 0
1.356 * [backup-simplify]: Simplify 1 into 1
1.357 * [backup-simplify]: Simplify (* 1 1) into 1
1.357 * [backup-simplify]: Simplify (/ 1 1) into 1
1.357 * [backup-simplify]: Simplify (+ 0 1) into 1
1.359 * [backup-simplify]: Simplify (sqrt 1) into 1
1.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.361 * [backup-simplify]: Simplify (+ 0 0) into 0
1.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.362 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.362 * [taylor]: Taking taylor expansion of y in x
1.362 * [backup-simplify]: Simplify y into y
1.362 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.362 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.362 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.362 * [taylor]: Taking taylor expansion of x in x
1.362 * [backup-simplify]: Simplify 0 into 0
1.362 * [backup-simplify]: Simplify 1 into 1
1.362 * [backup-simplify]: Simplify (* 1 1) into 1
1.362 * [backup-simplify]: Simplify (/ 1 1) into 1
1.363 * [backup-simplify]: Simplify (+ 0 1) into 1
1.363 * [backup-simplify]: Simplify (sqrt 1) into 1
1.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.364 * [backup-simplify]: Simplify (+ 0 0) into 0
1.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.365 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
1.365 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.365 * [taylor]: Taking taylor expansion of z in x
1.365 * [backup-simplify]: Simplify z into z
1.365 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.365 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.365 * [taylor]: Taking taylor expansion of z in x
1.365 * [backup-simplify]: Simplify z into z
1.365 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.365 * [backup-simplify]: Simplify (* 1 1) into 1
1.365 * [backup-simplify]: Simplify (+ 1 0) into 1
1.366 * [backup-simplify]: Simplify (sqrt 1) into 1
1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.366 * [backup-simplify]: Simplify (+ 0 0) into 0
1.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.367 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ 1 z)) in x
1.367 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))))
1.367 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ 1 z) (/ 1 z))) in x
1.367 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.367 * [taylor]: Taking taylor expansion of y in x
1.367 * [backup-simplify]: Simplify y into y
1.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.367 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.367 * [taylor]: Taking taylor expansion of x in x
1.367 * [backup-simplify]: Simplify 0 into 0
1.367 * [backup-simplify]: Simplify 1 into 1
1.367 * [backup-simplify]: Simplify (* 1 1) into 1
1.368 * [backup-simplify]: Simplify (/ 1 1) into 1
1.368 * [backup-simplify]: Simplify (+ 0 1) into 1
1.368 * [backup-simplify]: Simplify (sqrt 1) into 1
1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.369 * [backup-simplify]: Simplify (+ 0 0) into 0
1.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.370 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.370 * [taylor]: Taking taylor expansion of y in x
1.370 * [backup-simplify]: Simplify y into y
1.370 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.370 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.370 * [taylor]: Taking taylor expansion of x in x
1.370 * [backup-simplify]: Simplify 0 into 0
1.370 * [backup-simplify]: Simplify 1 into 1
1.370 * [backup-simplify]: Simplify (* 1 1) into 1
1.371 * [backup-simplify]: Simplify (/ 1 1) into 1
1.371 * [backup-simplify]: Simplify (+ 0 1) into 1
1.372 * [backup-simplify]: Simplify (sqrt 1) into 1
1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.373 * [backup-simplify]: Simplify (+ 0 0) into 0
1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.373 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
1.373 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.373 * [taylor]: Taking taylor expansion of z in x
1.373 * [backup-simplify]: Simplify z into z
1.373 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.373 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.373 * [taylor]: Taking taylor expansion of z in x
1.373 * [backup-simplify]: Simplify z into z
1.373 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.374 * [backup-simplify]: Simplify (* 1 1) into 1
1.374 * [backup-simplify]: Simplify (+ 1 0) into 1
1.374 * [backup-simplify]: Simplify (sqrt 1) into 1
1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.375 * [backup-simplify]: Simplify (+ 0 0) into 0
1.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.375 * [taylor]: Taking taylor expansion of 1 in y
1.375 * [backup-simplify]: Simplify 1 into 1
1.375 * [taylor]: Taking taylor expansion of 0 in y
1.375 * [backup-simplify]: Simplify 0 into 0
1.375 * [taylor]: Taking taylor expansion of 1 in z
1.375 * [backup-simplify]: Simplify 1 into 1
1.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.377 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.378 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.379 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.380 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.381 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
1.381 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
1.381 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.383 * [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))))
1.383 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.383 * [taylor]: Taking taylor expansion of 1/2 in y
1.383 * [backup-simplify]: Simplify 1/2 into 1/2
1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.383 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.383 * [taylor]: Taking taylor expansion of y in y
1.383 * [backup-simplify]: Simplify 0 into 0
1.383 * [backup-simplify]: Simplify 1 into 1
1.384 * [backup-simplify]: Simplify (* 1 1) into 1
1.384 * [backup-simplify]: Simplify (/ 1 1) into 1
1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.384 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.384 * [taylor]: Taking taylor expansion of z in y
1.384 * [backup-simplify]: Simplify z into z
1.384 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.385 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.387 * [backup-simplify]: Simplify (+ 0 0) into 0
1.387 * [backup-simplify]: Simplify (+ 1 0) into 1
1.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.388 * [taylor]: Taking taylor expansion of 0 in z
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [taylor]: Taking taylor expansion of 0 in z
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [taylor]: Taking taylor expansion of 0 in z
1.388 * [backup-simplify]: Simplify 0 into 0
1.388 * [backup-simplify]: Simplify 1 into 1
1.388 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.390 * [backup-simplify]: Simplify (+ 0 0) into 0
1.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.390 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.392 * [backup-simplify]: Simplify (+ 0 0) into 0
1.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
1.393 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
1.393 * [backup-simplify]: Simplify (+ 0 0) into 0
1.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.394 * [taylor]: Taking taylor expansion of 0 in y
1.394 * [backup-simplify]: Simplify 0 into 0
1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.396 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.396 * [taylor]: Taking taylor expansion of 1/2 in z
1.396 * [backup-simplify]: Simplify 1/2 into 1/2
1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.396 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.396 * [taylor]: Taking taylor expansion of z in z
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify 1 into 1
1.396 * [backup-simplify]: Simplify (* 1 1) into 1
1.396 * [backup-simplify]: Simplify (/ 1 1) into 1
1.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [taylor]: Taking taylor expansion of 0 in z
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [taylor]: Taking taylor expansion of 0 in z
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify 0 into 0
1.398 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.400 * [backup-simplify]: Simplify (+ 0 0) into 0
1.401 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
1.401 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.403 * [backup-simplify]: Simplify (+ 0 0) into 0
1.404 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
1.405 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
1.405 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
1.406 * [backup-simplify]: Simplify (+ 0 0) into 0
1.407 * [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))))))
1.407 * [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
1.407 * [taylor]: Taking taylor expansion of -1/2 in y
1.407 * [backup-simplify]: Simplify -1/2 into -1/2
1.407 * [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
1.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.407 * [taylor]: Taking taylor expansion of 1/2 in y
1.407 * [backup-simplify]: Simplify 1/2 into 1/2
1.407 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.407 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.407 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.407 * [taylor]: Taking taylor expansion of z in y
1.407 * [backup-simplify]: Simplify z into z
1.408 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.408 * [taylor]: Taking taylor expansion of y in y
1.408 * [backup-simplify]: Simplify 0 into 0
1.408 * [backup-simplify]: Simplify 1 into 1
1.408 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.408 * [backup-simplify]: Simplify (* 1 1) into 1
1.408 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.409 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.409 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.409 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.409 * [taylor]: Taking taylor expansion of 1/4 in y
1.409 * [backup-simplify]: Simplify 1/4 into 1/4
1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.409 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.409 * [taylor]: Taking taylor expansion of y in y
1.409 * [backup-simplify]: Simplify 0 into 0
1.409 * [backup-simplify]: Simplify 1 into 1
1.409 * [backup-simplify]: Simplify (* 1 1) into 1
1.410 * [backup-simplify]: Simplify (* 1 1) into 1
1.410 * [backup-simplify]: Simplify (/ 1 1) into 1
1.410 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.410 * [taylor]: Taking taylor expansion of 1/4 in y
1.410 * [backup-simplify]: Simplify 1/4 into 1/4
1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.410 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.410 * [taylor]: Taking taylor expansion of z in y
1.410 * [backup-simplify]: Simplify z into z
1.410 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.410 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.411 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.412 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.412 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.424 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.424 * [backup-simplify]: Simplify (+ 0 0) into 0
1.425 * [backup-simplify]: Simplify (+ 0 0) into 0
1.425 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.426 * [backup-simplify]: Simplify (+ 0 0) into 0
1.426 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.427 * [backup-simplify]: Simplify (+ 0 0) into 0
1.427 * [backup-simplify]: Simplify (+ 0 0) into 0
1.427 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.428 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.428 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.429 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.429 * [taylor]: Taking taylor expansion of 0 in z
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [taylor]: Taking taylor expansion of 0 in z
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.430 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.431 * [backup-simplify]: Simplify (+ 0 0) into 0
1.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.432 * [taylor]: Taking taylor expansion of 0 in z
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [taylor]: Taking taylor expansion of 0 in z
1.432 * [backup-simplify]: Simplify 0 into 0
1.432 * [taylor]: Taking taylor expansion of 0 in z
1.432 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.436 * [backup-simplify]: Simplify 0 into 0
1.436 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
1.436 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ 1 (- z))) into (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ -1 z))
1.436 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ -1 z)) in (x y z) around 0
1.436 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ -1 z)) in z
1.436 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))))
1.436 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))) in z
1.436 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in z
1.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in z
1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in z
1.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.436 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.436 * [taylor]: Taking taylor expansion of y in z
1.437 * [backup-simplify]: Simplify y into y
1.437 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.437 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.437 * [taylor]: Taking taylor expansion of x in z
1.437 * [backup-simplify]: Simplify x into x
1.437 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.437 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.437 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.437 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.437 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.438 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
1.439 * [backup-simplify]: Simplify (+ 0 0) into 0
1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in z
1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in z
1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.439 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.439 * [taylor]: Taking taylor expansion of y in z
1.439 * [backup-simplify]: Simplify y into y
1.439 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.440 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.440 * [taylor]: Taking taylor expansion of x in z
1.440 * [backup-simplify]: Simplify x into x
1.440 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.440 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.440 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.440 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
1.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.440 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
1.441 * [backup-simplify]: Simplify (+ 0 0) into 0
1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
1.442 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
1.442 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.442 * [taylor]: Taking taylor expansion of -1 in z
1.442 * [backup-simplify]: Simplify -1 into -1
1.442 * [taylor]: Taking taylor expansion of z in z
1.442 * [backup-simplify]: Simplify 0 into 0
1.442 * [backup-simplify]: Simplify 1 into 1
1.442 * [backup-simplify]: Simplify (/ -1 1) into -1
1.442 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.443 * [taylor]: Taking taylor expansion of -1 in z
1.443 * [backup-simplify]: Simplify -1 into -1
1.443 * [taylor]: Taking taylor expansion of z in z
1.443 * [backup-simplify]: Simplify 0 into 0
1.443 * [backup-simplify]: Simplify 1 into 1
1.443 * [backup-simplify]: Simplify (/ -1 1) into -1
1.444 * [backup-simplify]: Simplify (* -1 -1) into 1
1.444 * [backup-simplify]: Simplify (+ 0 1) into 1
1.445 * [backup-simplify]: Simplify (sqrt 1) into 1
1.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.447 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.448 * [backup-simplify]: Simplify (+ 0 0) into 0
1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.449 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ -1 z)) in y
1.449 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))))
1.449 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))) in y
1.449 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y
1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.449 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.449 * [taylor]: Taking taylor expansion of y in y
1.449 * [backup-simplify]: Simplify 0 into 0
1.449 * [backup-simplify]: Simplify 1 into 1
1.450 * [backup-simplify]: Simplify (* 1 1) into 1
1.450 * [backup-simplify]: Simplify (/ 1 1) into 1
1.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.450 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.450 * [taylor]: Taking taylor expansion of x in y
1.450 * [backup-simplify]: Simplify x into x
1.450 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.450 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.451 * [backup-simplify]: Simplify (+ 1 0) into 1
1.451 * [backup-simplify]: Simplify (sqrt 1) into 1
1.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.453 * [backup-simplify]: Simplify (+ 0 0) into 0
1.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.454 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.454 * [taylor]: Taking taylor expansion of y in y
1.455 * [backup-simplify]: Simplify 0 into 0
1.455 * [backup-simplify]: Simplify 1 into 1
1.455 * [backup-simplify]: Simplify (* 1 1) into 1
1.455 * [backup-simplify]: Simplify (/ 1 1) into 1
1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.455 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.455 * [taylor]: Taking taylor expansion of x in y
1.455 * [backup-simplify]: Simplify x into x
1.455 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.455 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.456 * [backup-simplify]: Simplify (+ 1 0) into 1
1.456 * [backup-simplify]: Simplify (sqrt 1) into 1
1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.457 * [backup-simplify]: Simplify (+ 0 0) into 0
1.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.458 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
1.458 * [taylor]: Taking taylor expansion of (/ -1 z) in y
1.458 * [taylor]: Taking taylor expansion of -1 in y
1.458 * [backup-simplify]: Simplify -1 into -1
1.458 * [taylor]: Taking taylor expansion of z in y
1.458 * [backup-simplify]: Simplify z into z
1.458 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.458 * [taylor]: Taking taylor expansion of (/ -1 z) in y
1.458 * [taylor]: Taking taylor expansion of -1 in y
1.458 * [backup-simplify]: Simplify -1 into -1
1.458 * [taylor]: Taking taylor expansion of z in y
1.458 * [backup-simplify]: Simplify z into z
1.458 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.458 * [backup-simplify]: Simplify (* 1 1) into 1
1.458 * [backup-simplify]: Simplify (+ 1 0) into 1
1.459 * [backup-simplify]: Simplify (sqrt 1) into 1
1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.459 * [backup-simplify]: Simplify (+ 0 0) into 0
1.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.460 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ -1 z)) in x
1.460 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))))
1.460 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))) in x
1.460 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.460 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.460 * [taylor]: Taking taylor expansion of y in x
1.460 * [backup-simplify]: Simplify y into y
1.460 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.460 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.460 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.460 * [taylor]: Taking taylor expansion of x in x
1.460 * [backup-simplify]: Simplify 0 into 0
1.460 * [backup-simplify]: Simplify 1 into 1
1.461 * [backup-simplify]: Simplify (* 1 1) into 1
1.461 * [backup-simplify]: Simplify (/ 1 1) into 1
1.461 * [backup-simplify]: Simplify (+ 0 1) into 1
1.461 * [backup-simplify]: Simplify (sqrt 1) into 1
1.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.462 * [backup-simplify]: Simplify (+ 0 0) into 0
1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.463 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.463 * [taylor]: Taking taylor expansion of y in x
1.463 * [backup-simplify]: Simplify y into y
1.463 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.463 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.463 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.463 * [taylor]: Taking taylor expansion of x in x
1.463 * [backup-simplify]: Simplify 0 into 0
1.463 * [backup-simplify]: Simplify 1 into 1
1.463 * [backup-simplify]: Simplify (* 1 1) into 1
1.464 * [backup-simplify]: Simplify (/ 1 1) into 1
1.464 * [backup-simplify]: Simplify (+ 0 1) into 1
1.464 * [backup-simplify]: Simplify (sqrt 1) into 1
1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.465 * [backup-simplify]: Simplify (+ 0 0) into 0
1.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.466 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
1.466 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.466 * [taylor]: Taking taylor expansion of -1 in x
1.466 * [backup-simplify]: Simplify -1 into -1
1.466 * [taylor]: Taking taylor expansion of z in x
1.466 * [backup-simplify]: Simplify z into z
1.466 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.466 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.466 * [taylor]: Taking taylor expansion of -1 in x
1.466 * [backup-simplify]: Simplify -1 into -1
1.466 * [taylor]: Taking taylor expansion of z in x
1.466 * [backup-simplify]: Simplify z into z
1.466 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.466 * [backup-simplify]: Simplify (* 1 1) into 1
1.467 * [backup-simplify]: Simplify (+ 1 0) into 1
1.467 * [backup-simplify]: Simplify (sqrt 1) into 1
1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.468 * [backup-simplify]: Simplify (+ 0 0) into 0
1.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.468 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (/ -1 z)) in x
1.468 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))))
1.468 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (* (/ -1 z) (/ -1 z))) in x
1.468 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x
1.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.468 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.468 * [taylor]: Taking taylor expansion of y in x
1.468 * [backup-simplify]: Simplify y into y
1.468 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.468 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.468 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.468 * [taylor]: Taking taylor expansion of x in x
1.468 * [backup-simplify]: Simplify 0 into 0
1.468 * [backup-simplify]: Simplify 1 into 1
1.469 * [backup-simplify]: Simplify (* 1 1) into 1
1.469 * [backup-simplify]: Simplify (/ 1 1) into 1
1.469 * [backup-simplify]: Simplify (+ 0 1) into 1
1.469 * [backup-simplify]: Simplify (sqrt 1) into 1
1.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.471 * [backup-simplify]: Simplify (+ 0 0) into 0
1.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.471 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.471 * [taylor]: Taking taylor expansion of y in x
1.471 * [backup-simplify]: Simplify y into y
1.471 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.471 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.472 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.472 * [taylor]: Taking taylor expansion of x in x
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 1 into 1
1.472 * [backup-simplify]: Simplify (* 1 1) into 1
1.472 * [backup-simplify]: Simplify (/ 1 1) into 1
1.472 * [backup-simplify]: Simplify (+ 0 1) into 1
1.473 * [backup-simplify]: Simplify (sqrt 1) into 1
1.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.474 * [backup-simplify]: Simplify (+ 0 0) into 0
1.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.474 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
1.474 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.474 * [taylor]: Taking taylor expansion of -1 in x
1.474 * [backup-simplify]: Simplify -1 into -1
1.474 * [taylor]: Taking taylor expansion of z in x
1.474 * [backup-simplify]: Simplify z into z
1.474 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.474 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.474 * [taylor]: Taking taylor expansion of -1 in x
1.474 * [backup-simplify]: Simplify -1 into -1
1.474 * [taylor]: Taking taylor expansion of z in x
1.474 * [backup-simplify]: Simplify z into z
1.474 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.475 * [backup-simplify]: Simplify (* 1 1) into 1
1.475 * [backup-simplify]: Simplify (+ 1 0) into 1
1.475 * [backup-simplify]: Simplify (sqrt 1) into 1
1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.476 * [backup-simplify]: Simplify (+ 0 0) into 0
1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.476 * [taylor]: Taking taylor expansion of 1 in y
1.476 * [backup-simplify]: Simplify 1 into 1
1.476 * [taylor]: Taking taylor expansion of 0 in y
1.476 * [backup-simplify]: Simplify 0 into 0
1.476 * [taylor]: Taking taylor expansion of 1 in z
1.476 * [backup-simplify]: Simplify 1 into 1
1.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.479 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.480 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.482 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.482 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
1.483 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
1.483 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
1.483 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.484 * [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))))
1.484 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.484 * [taylor]: Taking taylor expansion of 1/2 in y
1.484 * [backup-simplify]: Simplify 1/2 into 1/2
1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.484 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.484 * [taylor]: Taking taylor expansion of y in y
1.484 * [backup-simplify]: Simplify 0 into 0
1.484 * [backup-simplify]: Simplify 1 into 1
1.484 * [backup-simplify]: Simplify (* 1 1) into 1
1.485 * [backup-simplify]: Simplify (/ 1 1) into 1
1.485 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.485 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.485 * [taylor]: Taking taylor expansion of z in y
1.485 * [backup-simplify]: Simplify z into z
1.485 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.485 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.486 * [backup-simplify]: Simplify (+ 0 0) into 0
1.486 * [backup-simplify]: Simplify (+ 1 0) into 1
1.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.487 * [taylor]: Taking taylor expansion of 0 in z
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in z
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [taylor]: Taking taylor expansion of 0 in z
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify 1 into 1
1.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.489 * [backup-simplify]: Simplify (+ 0 0) into 0
1.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.489 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.491 * [backup-simplify]: Simplify (+ 0 0) into 0
1.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
1.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
1.492 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
1.492 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
1.492 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
1.492 * [backup-simplify]: Simplify (+ 0 0) into 0
1.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.493 * [taylor]: Taking taylor expansion of 0 in y
1.493 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.494 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.495 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.495 * [taylor]: Taking taylor expansion of 1/2 in z
1.495 * [backup-simplify]: Simplify 1/2 into 1/2
1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.495 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.495 * [taylor]: Taking taylor expansion of z in z
1.495 * [backup-simplify]: Simplify 0 into 0
1.495 * [backup-simplify]: Simplify 1 into 1
1.495 * [backup-simplify]: Simplify (* 1 1) into 1
1.495 * [backup-simplify]: Simplify (/ 1 1) into 1
1.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in z
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in z
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.499 * [backup-simplify]: Simplify (+ 0 0) into 0
1.500 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
1.500 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.502 * [backup-simplify]: Simplify (+ 0 0) into 0
1.503 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
1.504 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
1.504 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
1.504 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
1.505 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
1.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [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))))))
1.506 * [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
1.506 * [taylor]: Taking taylor expansion of -1/2 in y
1.506 * [backup-simplify]: Simplify -1/2 into -1/2
1.506 * [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
1.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.506 * [taylor]: Taking taylor expansion of 1/2 in y
1.506 * [backup-simplify]: Simplify 1/2 into 1/2
1.506 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.506 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.506 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.506 * [taylor]: Taking taylor expansion of z in y
1.506 * [backup-simplify]: Simplify z into z
1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.506 * [taylor]: Taking taylor expansion of y in y
1.506 * [backup-simplify]: Simplify 0 into 0
1.506 * [backup-simplify]: Simplify 1 into 1
1.506 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.506 * [backup-simplify]: Simplify (* 1 1) into 1
1.506 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.507 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.507 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.507 * [taylor]: Taking taylor expansion of 1/4 in y
1.507 * [backup-simplify]: Simplify 1/4 into 1/4
1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.507 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.507 * [taylor]: Taking taylor expansion of y in y
1.507 * [backup-simplify]: Simplify 0 into 0
1.507 * [backup-simplify]: Simplify 1 into 1
1.507 * [backup-simplify]: Simplify (* 1 1) into 1
1.507 * [backup-simplify]: Simplify (* 1 1) into 1
1.507 * [backup-simplify]: Simplify (/ 1 1) into 1
1.507 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.508 * [taylor]: Taking taylor expansion of 1/4 in y
1.508 * [backup-simplify]: Simplify 1/4 into 1/4
1.508 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.508 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.508 * [taylor]: Taking taylor expansion of z in y
1.508 * [backup-simplify]: Simplify z into z
1.508 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.508 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.508 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.508 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.509 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.515 * [backup-simplify]: Simplify (+ 0 0) into 0
1.516 * [backup-simplify]: Simplify (+ 0 0) into 0
1.516 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
1.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.517 * [backup-simplify]: Simplify (+ 0 0) into 0
1.517 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
1.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.517 * [backup-simplify]: Simplify (+ 0 0) into 0
1.518 * [backup-simplify]: Simplify (+ 0 0) into 0
1.518 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.518 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.519 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.519 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.519 * [taylor]: Taking taylor expansion of 0 in z
1.519 * [backup-simplify]: Simplify 0 into 0
1.519 * [taylor]: Taking taylor expansion of 0 in z
1.519 * [backup-simplify]: Simplify 0 into 0
1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.521 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.521 * [backup-simplify]: Simplify (+ 0 0) into 0
1.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
1.522 * [taylor]: Taking taylor expansion of 0 in z
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [taylor]: Taking taylor expansion of 0 in z
1.522 * [backup-simplify]: Simplify 0 into 0
1.522 * [taylor]: Taking taylor expansion of 0 in z
1.522 * [backup-simplify]: Simplify 0 into 0
1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.526 * [backup-simplify]: Simplify 0 into 0
1.526 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
1.526 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
1.526 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
1.526 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
1.526 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.526 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.527 * [taylor]: Taking taylor expansion of y in y
1.527 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify 1 into 1
1.527 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.527 * [taylor]: Taking taylor expansion of x in y
1.527 * [backup-simplify]: Simplify x into x
1.527 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.527 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.527 * [taylor]: Taking taylor expansion of y in x
1.527 * [backup-simplify]: Simplify y into y
1.527 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.527 * [taylor]: Taking taylor expansion of x in x
1.527 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify 1 into 1
1.527 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.527 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.527 * [taylor]: Taking taylor expansion of y in x
1.527 * [backup-simplify]: Simplify y into y
1.527 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.527 * [taylor]: Taking taylor expansion of x in x
1.527 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.527 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
1.527 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.527 * [taylor]: Taking taylor expansion of y in y
1.527 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 1 into 1
1.528 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.528 * [backup-simplify]: Simplify (+ 0 0) into 0
1.528 * [taylor]: Taking taylor expansion of 0 in y
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.529 * [backup-simplify]: Simplify (* 1 1) into 1
1.530 * [backup-simplify]: Simplify (+ 0 1) into 1
1.530 * [taylor]: Taking taylor expansion of 1 in y
1.530 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify (* 1 1) into 1
1.531 * [backup-simplify]: Simplify 1 into 1
1.531 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.532 * [backup-simplify]: Simplify (+ 0 0) into 0
1.532 * [taylor]: Taking taylor expansion of 0 in y
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.533 * [backup-simplify]: Simplify 0 into 0
1.533 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
1.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.534 * [backup-simplify]: Simplify (+ 0 0) into 0
1.534 * [taylor]: Taking taylor expansion of 0 in y
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify 0 into 0
1.534 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
1.535 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.535 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.535 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.535 * [taylor]: Taking taylor expansion of y in y
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 1 into 1
1.535 * [backup-simplify]: Simplify (* 1 1) into 1
1.535 * [backup-simplify]: Simplify (/ 1 1) into 1
1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.535 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.535 * [taylor]: Taking taylor expansion of x in y
1.535 * [backup-simplify]: Simplify x into x
1.535 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.536 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.536 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.536 * [taylor]: Taking taylor expansion of y in x
1.536 * [backup-simplify]: Simplify y into y
1.536 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.536 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.536 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.536 * [taylor]: Taking taylor expansion of x in x
1.536 * [backup-simplify]: Simplify 0 into 0
1.536 * [backup-simplify]: Simplify 1 into 1
1.536 * [backup-simplify]: Simplify (* 1 1) into 1
1.536 * [backup-simplify]: Simplify (/ 1 1) into 1
1.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.536 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.536 * [taylor]: Taking taylor expansion of y in x
1.537 * [backup-simplify]: Simplify y into y
1.537 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.537 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.537 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.537 * [taylor]: Taking taylor expansion of x in x
1.537 * [backup-simplify]: Simplify 0 into 0
1.537 * [backup-simplify]: Simplify 1 into 1
1.537 * [backup-simplify]: Simplify (* 1 1) into 1
1.537 * [backup-simplify]: Simplify (/ 1 1) into 1
1.538 * [backup-simplify]: Simplify (+ 0 1) into 1
1.538 * [taylor]: Taking taylor expansion of 1 in y
1.538 * [backup-simplify]: Simplify 1 into 1
1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.539 * [backup-simplify]: Simplify (+ 0 0) into 0
1.539 * [taylor]: Taking taylor expansion of 0 in y
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.540 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.540 * [taylor]: Taking taylor expansion of y in y
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (* 1 1) into 1
1.541 * [backup-simplify]: Simplify (/ 1 1) into 1
1.541 * [backup-simplify]: Simplify 1 into 1
1.541 * [backup-simplify]: Simplify 1 into 1
1.541 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.542 * [backup-simplify]: Simplify (+ 0 0) into 0
1.542 * [taylor]: Taking taylor expansion of 0 in y
1.542 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.543 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify 0 into 0
1.543 * [backup-simplify]: Simplify 0 into 0
1.544 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [taylor]: Taking taylor expansion of 0 in y
1.546 * [backup-simplify]: Simplify 0 into 0
1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.547 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
1.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.547 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.547 * [taylor]: Taking taylor expansion of y in y
1.547 * [backup-simplify]: Simplify 0 into 0
1.547 * [backup-simplify]: Simplify 1 into 1
1.548 * [backup-simplify]: Simplify (* 1 1) into 1
1.548 * [backup-simplify]: Simplify (/ 1 1) into 1
1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.548 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.548 * [taylor]: Taking taylor expansion of x in y
1.548 * [backup-simplify]: Simplify x into x
1.548 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.548 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.548 * [taylor]: Taking taylor expansion of y in x
1.548 * [backup-simplify]: Simplify y into y
1.548 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.548 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.548 * [taylor]: Taking taylor expansion of x in x
1.548 * [backup-simplify]: Simplify 0 into 0
1.548 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (* 1 1) into 1
1.549 * [backup-simplify]: Simplify (/ 1 1) into 1
1.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.549 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.549 * [taylor]: Taking taylor expansion of y in x
1.549 * [backup-simplify]: Simplify y into y
1.549 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.549 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.549 * [taylor]: Taking taylor expansion of x in x
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify 1 into 1
1.550 * [backup-simplify]: Simplify (* 1 1) into 1
1.550 * [backup-simplify]: Simplify (/ 1 1) into 1
1.550 * [backup-simplify]: Simplify (+ 0 1) into 1
1.550 * [taylor]: Taking taylor expansion of 1 in y
1.550 * [backup-simplify]: Simplify 1 into 1
1.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (+ 0 0) into 0
1.551 * [taylor]: Taking taylor expansion of 0 in y
1.551 * [backup-simplify]: Simplify 0 into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.553 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
1.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.553 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.553 * [taylor]: Taking taylor expansion of y in y
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (* 1 1) into 1
1.553 * [backup-simplify]: Simplify (/ 1 1) into 1
1.553 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.555 * [backup-simplify]: Simplify (+ 0 0) into 0
1.555 * [taylor]: Taking taylor expansion of 0 in y
1.555 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify 0 into 0
1.557 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.558 * [backup-simplify]: Simplify (+ 0 0) into 0
1.558 * [taylor]: Taking taylor expansion of 0 in y
1.558 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.560 * [backup-simplify]: Simplify 0 into 0
1.560 * [backup-simplify]: Simplify 0 into 0
1.560 * [backup-simplify]: Simplify 0 into 0
1.561 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.561 * * * [progress]: simplifying candidates
1.561 * * * * [progress]: [ 1 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (log1p (expm1 (sqrt (+ (* x x) (* y y))))) z))>
1.561 * * * * [progress]: [ 2 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (expm1 (log1p (sqrt (+ (* x x) (* y y))))) z))>
1.561 * * * * [progress]: [ 3 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (hypot x y) z))>
1.561 * * * * [progress]: [ 4 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (pow (+ (* x x) (* y y)) 1/2) z))>
1.561 * * * * [progress]: [ 5 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (pow (sqrt (+ (* x x) (* y y))) 1) z))>
1.561 * * * * [progress]: [ 6 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (exp (log (sqrt (+ (* x x) (* y y))))) z))>
1.561 * * * * [progress]: [ 7 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (log (exp (sqrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 8 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 9 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (cbrt (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 10 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 11 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 12 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (sqrt 1) (sqrt (+ (* x x) (* y y)))) z))>
1.562 * * * * [progress]: [ 13 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) z))>
1.562 * * * * [progress]: [ 14 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))) z))>
1.562 * * * * [progress]: [ 15 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (pow (+ (* x x) (* y y)) (/ 1 2)) z))>
1.562 * * * * [progress]: [ 16 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 17 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (fabs (sqrt (+ (* x x) (* y y)))) z))>
1.562 * * * * [progress]: [ 18 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* 1 (sqrt (+ (* x x) (* y y)))) z))>
1.562 * * * * [progress]: [ 19 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (posit16->real (real->posit16 (sqrt (+ (* x x) (* y y))))) z))>
1.562 * * * * [progress]: [ 20 / 54 ] simplifiying candidate #<alt (λ (x y z) (log1p (expm1 (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.562 * * * * [progress]: [ 21 / 54 ] simplifiying candidate #<alt (λ (x y z) (expm1 (log1p (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.562 * * * * [progress]: [ 22 / 54 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))))>
1.562 * * * * [progress]: [ 23 / 54 ] simplifiying candidate #<alt (λ (x y z) (pow (hypot (sqrt (+ (* x x) (* y y))) z) 1))>
1.563 * * * * [progress]: [ 24 / 54 ] simplifiying candidate #<alt (λ (x y z) (exp (log (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.563 * * * * [progress]: [ 25 / 54 ] simplifiying candidate #<alt (λ (x y z) (log (exp (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.563 * * * * [progress]: [ 26 / 54 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.563 * * * * [progress]: [ 27 / 54 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.563 * * * * [progress]: [ 28 / 54 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (hypot (sqrt (+ (* x x) (* y y))) z)) (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.563 * * * * [progress]: [ 29 / 54 ] simplifiying candidate #<alt (λ (x y z) (* 1 (hypot (sqrt (+ (* x x) (* y y))) z)))>
1.563 * * * * [progress]: [ 30 / 54 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (hypot (sqrt (+ (* x x) (* y y))) z))))>
1.563 * * * * [progress]: [ 31 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (log1p (expm1 (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 32 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (expm1 (log1p (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 33 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (fma x x (* y y))) z))>
1.563 * * * * [progress]: [ 34 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (log (* (exp (* x x)) (exp (* y y))))) z))>
1.563 * * * * [progress]: [ 35 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (pow (+ (* x x) (* y y)) 1)) z))>
1.563 * * * * [progress]: [ 36 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (exp (log (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 37 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (log (exp (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 38 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 39 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (cbrt (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 40 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))) z))>
1.563 * * * * [progress]: [ 41 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (/ (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))) z))>
1.564 * * * * [progress]: [ 42 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (* 1 (+ (* x x) (* y y)))) z))>
1.564 * * * * [progress]: [ 43 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (/ (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)))) z))>
1.564 * * * * [progress]: [ 44 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (posit16->real (real->posit16 (+ (* x x) (* y y))))) z))>
1.564 * * * * [progress]: [ 45 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (+ (* y y) (* x x))) z))>
1.564 * * * * [progress]: [ 46 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot y z))>
1.564 * * * * [progress]: [ 47 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot x z))>
1.564 * * * * [progress]: [ 48 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (* -1 x) z))>
1.564 * * * * [progress]: [ 49 / 54 ] simplifiying candidate #<alt (λ (x y z) z)>
1.564 * * * * [progress]: [ 50 / 54 ] simplifiying candidate #<alt (λ (x y z) x)>
1.564 * * * * [progress]: [ 51 / 54 ] simplifiying candidate #<alt (λ (x y z) (* -1 x))>
1.564 * * * * [progress]: [ 52 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (+ (pow y 2) (pow x 2))) z))>
1.564 * * * * [progress]: [ 53 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (+ (pow y 2) (pow x 2))) z))>
1.564 * * * * [progress]: [ 54 / 54 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (+ (pow y 2) (pow x 2))) z))>
1.565 * [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))))
  (real->posit16 (sqrt (+ (* x x) (* y y))))
  (expm1 (hypot (sqrt (+ (* x x) (* y y))) z))
  (log1p (hypot (sqrt (+ (* x x) (* y y))) z))
  (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))
  (log (hypot (sqrt (+ (* x x) (* y y))) z))
  (exp (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)))
  (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (real->posit16 (hypot (sqrt (+ (* x x) (* y y))) 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))
  (real->posit16 (+ (* x x) (* y y)))
  y
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
1.566 * * [simplify]: iteration 0: 68 enodes
1.593 * * [simplify]: iteration 1: 155 enodes
1.637 * * [simplify]: iteration 2: 422 enodes
1.918 * * [simplify]: iteration 3: 1645 enodes
2.255 * * [simplify]: iteration complete: 2000 enodes
2.255 * * [simplify]: Extracting #0: cost 45 inf + 0
2.256 * * [simplify]: Extracting #1: cost 242 inf + 230
2.262 * * [simplify]: Extracting #2: cost 398 inf + 10438
2.289 * * [simplify]: Extracting #3: cost 79 inf + 52946
2.325 * * [simplify]: Extracting #4: cost 6 inf + 68717
2.361 * * [simplify]: Extracting #5: cost 0 inf + 70510
2.382 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (fma x x (* y y)) (hypot x y))
  (fabs (cbrt (fma x x (* y y))))
  (sqrt (cbrt (fma x x (* y y))))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  (hypot x y)
  (hypot (* (* x x) x) (* (* y y) y))
  (sqrt (fma (* x x) (* x x) (* (* y y) (- (* y y) (* x x)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (real->posit16 (hypot x y))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma (hypot x y) (hypot x y) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (real->posit16 (hypot (hypot x y) 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)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (hypot x y)
  (hypot x y)
  (fma (* (* x x) x) (* (* x x) x) (* (* (* y y) (* y y)) (* y y)))
  (fma (* x x) (* x x) (* (* y y) (- (* y y) (* x x))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (* (+ x y) (- x y))
  (real->posit16 (fma x x (* y y)))
  y
  x
  (- x)
  z
  x
  (- x)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
2.384 * * * [progress]: adding candidates to table
2.610 * * [progress]: iteration 3 / 4
2.611 * * * [progress]: picking best candidate
2.618 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (hypot x y) z))>
2.618 * * * [progress]: localizing error
2.630 * * * [progress]: generating rewritten candidates
2.630 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
2.630 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
2.631 * * * [progress]: generating series expansions
2.631 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
2.631 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
2.631 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
2.631 * [taylor]: Taking taylor expansion of (hypot x y) in y
2.631 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.631 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
2.631 * [taylor]: Taking taylor expansion of (* x x) in y
2.631 * [taylor]: Taking taylor expansion of x in y
2.631 * [backup-simplify]: Simplify x into x
2.631 * [taylor]: Taking taylor expansion of x in y
2.631 * [backup-simplify]: Simplify x into x
2.631 * [taylor]: Taking taylor expansion of (* y y) in y
2.631 * [taylor]: Taking taylor expansion of y in y
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.631 * [taylor]: Taking taylor expansion of y in y
2.631 * [backup-simplify]: Simplify 0 into 0
2.631 * [backup-simplify]: Simplify 1 into 1
2.631 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.632 * [backup-simplify]: Simplify (* 0 0) into 0
2.632 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.632 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.632 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.632 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.633 * [backup-simplify]: Simplify (+ 0 0) into 0
2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.633 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.633 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.633 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.633 * [taylor]: Taking taylor expansion of (* x x) in x
2.633 * [taylor]: Taking taylor expansion of x in x
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [taylor]: Taking taylor expansion of x in x
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [taylor]: Taking taylor expansion of (* y y) in x
2.633 * [taylor]: Taking taylor expansion of y in x
2.633 * [backup-simplify]: Simplify y into y
2.633 * [taylor]: Taking taylor expansion of y in x
2.633 * [backup-simplify]: Simplify y into y
2.633 * [backup-simplify]: Simplify (* 0 0) into 0
2.633 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.633 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.633 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.634 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.634 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.634 * [backup-simplify]: Simplify (+ 0 0) into 0
2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.634 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.634 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.634 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.634 * [taylor]: Taking taylor expansion of (* x x) in x
2.634 * [taylor]: Taking taylor expansion of x in x
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [taylor]: Taking taylor expansion of x in x
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [backup-simplify]: Simplify 1 into 1
2.634 * [taylor]: Taking taylor expansion of (* y y) in x
2.634 * [taylor]: Taking taylor expansion of y in x
2.634 * [backup-simplify]: Simplify y into y
2.635 * [taylor]: Taking taylor expansion of y in x
2.635 * [backup-simplify]: Simplify y into y
2.635 * [backup-simplify]: Simplify (* 0 0) into 0
2.635 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.635 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.635 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.635 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.636 * [backup-simplify]: Simplify (+ 0 0) into 0
2.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.636 * [taylor]: Taking taylor expansion of y in y
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [taylor]: Taking taylor expansion of 0 in y
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.637 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.637 * [backup-simplify]: Simplify (+ 1 0) into 1
2.638 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.638 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.638 * [taylor]: Taking taylor expansion of 1/2 in y
2.638 * [backup-simplify]: Simplify 1/2 into 1/2
2.638 * [taylor]: Taking taylor expansion of y in y
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 1 into 1
2.638 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify 0 into 0
2.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.640 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.640 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.640 * [taylor]: Taking taylor expansion of 0 in y
2.640 * [backup-simplify]: Simplify 0 into 0
2.640 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.641 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
2.641 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
2.641 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.641 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.641 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.641 * [taylor]: Taking taylor expansion of x in y
2.641 * [backup-simplify]: Simplify x into x
2.642 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.642 * [taylor]: Taking taylor expansion of x in y
2.642 * [backup-simplify]: Simplify x into x
2.642 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.642 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.642 * [taylor]: Taking taylor expansion of y in y
2.642 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify 1 into 1
2.642 * [backup-simplify]: Simplify (/ 1 1) into 1
2.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.642 * [taylor]: Taking taylor expansion of y in y
2.642 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify 1 into 1
2.642 * [backup-simplify]: Simplify (/ 1 1) into 1
2.643 * [backup-simplify]: Simplify (* 1 1) into 1
2.643 * [backup-simplify]: Simplify (+ 0 1) into 1
2.643 * [backup-simplify]: Simplify (sqrt 1) into 1
2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.645 * [backup-simplify]: Simplify (+ 0 0) into 0
2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.645 * [taylor]: Taking taylor expansion of x in x
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (/ 1 1) into 1
2.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.646 * [taylor]: Taking taylor expansion of x in x
2.646 * [backup-simplify]: Simplify 0 into 0
2.646 * [backup-simplify]: Simplify 1 into 1
2.646 * [backup-simplify]: Simplify (/ 1 1) into 1
2.646 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.646 * [taylor]: Taking taylor expansion of y in x
2.646 * [backup-simplify]: Simplify y into y
2.646 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.646 * [taylor]: Taking taylor expansion of y in x
2.646 * [backup-simplify]: Simplify y into y
2.646 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.646 * [backup-simplify]: Simplify (* 1 1) into 1
2.647 * [backup-simplify]: Simplify (+ 1 0) into 1
2.647 * [backup-simplify]: Simplify (sqrt 1) into 1
2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.649 * [backup-simplify]: Simplify (+ 0 0) into 0
2.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.649 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.649 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.649 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.649 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.649 * [taylor]: Taking taylor expansion of x in x
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 1 into 1
2.650 * [backup-simplify]: Simplify (/ 1 1) into 1
2.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.650 * [taylor]: Taking taylor expansion of x in x
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 1 into 1
2.650 * [backup-simplify]: Simplify (/ 1 1) into 1
2.650 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.650 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.650 * [taylor]: Taking taylor expansion of y in x
2.650 * [backup-simplify]: Simplify y into y
2.650 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.650 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.650 * [taylor]: Taking taylor expansion of y in x
2.650 * [backup-simplify]: Simplify y into y
2.650 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.650 * [backup-simplify]: Simplify (* 1 1) into 1
2.651 * [backup-simplify]: Simplify (+ 1 0) into 1
2.651 * [backup-simplify]: Simplify (sqrt 1) into 1
2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.652 * [backup-simplify]: Simplify (+ 0 0) into 0
2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.653 * [taylor]: Taking taylor expansion of 1 in y
2.653 * [backup-simplify]: Simplify 1 into 1
2.653 * [taylor]: Taking taylor expansion of 0 in y
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.655 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.657 * [taylor]: Taking taylor expansion of 1/2 in y
2.657 * [backup-simplify]: Simplify 1/2 into 1/2
2.657 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.657 * [taylor]: Taking taylor expansion of y in y
2.657 * [backup-simplify]: Simplify 0 into 0
2.657 * [backup-simplify]: Simplify 1 into 1
2.657 * [backup-simplify]: Simplify (* 1 1) into 1
2.658 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify 0 into 0
2.660 * [backup-simplify]: Simplify 0 into 0
2.660 * [backup-simplify]: Simplify 0 into 0
2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.665 * [taylor]: Taking taylor expansion of 0 in y
2.665 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.668 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
2.668 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
2.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.668 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.668 * [taylor]: Taking taylor expansion of -1 in y
2.668 * [backup-simplify]: Simplify -1 into -1
2.668 * [taylor]: Taking taylor expansion of x in y
2.668 * [backup-simplify]: Simplify x into x
2.668 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.668 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.668 * [taylor]: Taking taylor expansion of -1 in y
2.668 * [backup-simplify]: Simplify -1 into -1
2.668 * [taylor]: Taking taylor expansion of x in y
2.668 * [backup-simplify]: Simplify x into x
2.668 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.669 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.669 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.669 * [taylor]: Taking taylor expansion of -1 in y
2.669 * [backup-simplify]: Simplify -1 into -1
2.669 * [taylor]: Taking taylor expansion of y in y
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 1 into 1
2.669 * [backup-simplify]: Simplify (/ -1 1) into -1
2.669 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.669 * [taylor]: Taking taylor expansion of -1 in y
2.670 * [backup-simplify]: Simplify -1 into -1
2.670 * [taylor]: Taking taylor expansion of y in y
2.670 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify 1 into 1
2.670 * [backup-simplify]: Simplify (/ -1 1) into -1
2.671 * [backup-simplify]: Simplify (* -1 -1) into 1
2.671 * [backup-simplify]: Simplify (+ 0 1) into 1
2.672 * [backup-simplify]: Simplify (sqrt 1) into 1
2.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.674 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.675 * [backup-simplify]: Simplify (+ 0 0) into 0
2.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.675 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.676 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.676 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.676 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.676 * [taylor]: Taking taylor expansion of -1 in x
2.676 * [backup-simplify]: Simplify -1 into -1
2.676 * [taylor]: Taking taylor expansion of x in x
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.676 * [backup-simplify]: Simplify (/ -1 1) into -1
2.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.676 * [taylor]: Taking taylor expansion of -1 in x
2.676 * [backup-simplify]: Simplify -1 into -1
2.676 * [taylor]: Taking taylor expansion of x in x
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 1 into 1
2.677 * [backup-simplify]: Simplify (/ -1 1) into -1
2.677 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.677 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.677 * [taylor]: Taking taylor expansion of -1 in x
2.677 * [backup-simplify]: Simplify -1 into -1
2.677 * [taylor]: Taking taylor expansion of y in x
2.677 * [backup-simplify]: Simplify y into y
2.677 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.677 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.677 * [taylor]: Taking taylor expansion of -1 in x
2.677 * [backup-simplify]: Simplify -1 into -1
2.677 * [taylor]: Taking taylor expansion of y in x
2.677 * [backup-simplify]: Simplify y into y
2.677 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.678 * [backup-simplify]: Simplify (* -1 -1) into 1
2.678 * [backup-simplify]: Simplify (+ 1 0) into 1
2.679 * [backup-simplify]: Simplify (sqrt 1) into 1
2.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.682 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.682 * [backup-simplify]: Simplify (+ 0 0) into 0
2.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.683 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.683 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.683 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.683 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.683 * [taylor]: Taking taylor expansion of -1 in x
2.683 * [backup-simplify]: Simplify -1 into -1
2.683 * [taylor]: Taking taylor expansion of x in x
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 1 into 1
2.684 * [backup-simplify]: Simplify (/ -1 1) into -1
2.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.684 * [taylor]: Taking taylor expansion of -1 in x
2.684 * [backup-simplify]: Simplify -1 into -1
2.684 * [taylor]: Taking taylor expansion of x in x
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (/ -1 1) into -1
2.685 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.685 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.685 * [taylor]: Taking taylor expansion of -1 in x
2.685 * [backup-simplify]: Simplify -1 into -1
2.685 * [taylor]: Taking taylor expansion of y in x
2.685 * [backup-simplify]: Simplify y into y
2.685 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.685 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.685 * [taylor]: Taking taylor expansion of -1 in x
2.685 * [backup-simplify]: Simplify -1 into -1
2.685 * [taylor]: Taking taylor expansion of y in x
2.685 * [backup-simplify]: Simplify y into y
2.685 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.686 * [backup-simplify]: Simplify (* -1 -1) into 1
2.686 * [backup-simplify]: Simplify (+ 1 0) into 1
2.686 * [backup-simplify]: Simplify (sqrt 1) into 1
2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.690 * [backup-simplify]: Simplify (+ 0 0) into 0
2.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.691 * [taylor]: Taking taylor expansion of 1 in y
2.691 * [backup-simplify]: Simplify 1 into 1
2.691 * [taylor]: Taking taylor expansion of 0 in y
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.694 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.695 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.695 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.696 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.696 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.696 * [taylor]: Taking taylor expansion of 1/2 in y
2.696 * [backup-simplify]: Simplify 1/2 into 1/2
2.696 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.696 * [taylor]: Taking taylor expansion of y in y
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.696 * [backup-simplify]: Simplify (* 1 1) into 1
2.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.697 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.700 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.700 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.700 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.700 * [taylor]: Taking taylor expansion of 0 in y
2.700 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.702 * * * * [progress]: [ 2 / 2 ] generating series at (2)
2.702 * [backup-simplify]: Simplify (hypot (hypot x y) z) into (hypot (hypot x y) z)
2.702 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0
2.702 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
2.702 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
2.702 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
2.702 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
2.702 * [taylor]: Taking taylor expansion of (hypot x y) in z
2.702 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.702 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
2.702 * [taylor]: Taking taylor expansion of (* x x) in z
2.702 * [taylor]: Taking taylor expansion of x in z
2.702 * [backup-simplify]: Simplify x into x
2.702 * [taylor]: Taking taylor expansion of x in z
2.702 * [backup-simplify]: Simplify x into x
2.702 * [taylor]: Taking taylor expansion of (* y y) in z
2.702 * [taylor]: Taking taylor expansion of y in z
2.702 * [backup-simplify]: Simplify y into y
2.702 * [taylor]: Taking taylor expansion of y in z
2.702 * [backup-simplify]: Simplify y into y
2.702 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.702 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.702 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow y 2) (pow x 2))
2.703 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.703 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.703 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.703 * [taylor]: Taking taylor expansion of (hypot x y) in z
2.703 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.703 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
2.703 * [taylor]: Taking taylor expansion of (* x x) in z
2.703 * [taylor]: Taking taylor expansion of x in z
2.703 * [backup-simplify]: Simplify x into x
2.703 * [taylor]: Taking taylor expansion of x in z
2.703 * [backup-simplify]: Simplify x into x
2.703 * [taylor]: Taking taylor expansion of (* y y) in z
2.703 * [taylor]: Taking taylor expansion of y in z
2.703 * [backup-simplify]: Simplify y into y
2.703 * [taylor]: Taking taylor expansion of y in z
2.703 * [backup-simplify]: Simplify y into y
2.703 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.704 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.704 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow y 2) (pow x 2))
2.704 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.704 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.704 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.704 * [backup-simplify]: Simplify (+ 0 0) into 0
2.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.704 * [taylor]: Taking taylor expansion of (* z z) in z
2.704 * [taylor]: Taking taylor expansion of z in z
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.704 * [taylor]: Taking taylor expansion of z in z
2.704 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify 1 into 1
2.705 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow x 2))) (sqrt (+ (pow y 2) (pow x 2)))) into (+ (pow y 2) (pow x 2))
2.705 * [backup-simplify]: Simplify (* 0 0) into 0
2.705 * [backup-simplify]: Simplify (+ (+ (pow y 2) (pow x 2)) 0) into (+ (pow y 2) (pow x 2))
2.705 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
2.705 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow x 2))) 0) (* 0 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.706 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
2.706 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
2.706 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
2.706 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
2.706 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
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
2.706 * [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)
2.707 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.707 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.708 * [backup-simplify]: Simplify (+ 0 0) into 0
2.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.708 * [taylor]: Taking taylor expansion of (hypot x y) in y
2.708 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.708 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
2.708 * [taylor]: Taking taylor expansion of (* x x) in y
2.708 * [taylor]: Taking taylor expansion of x in y
2.708 * [backup-simplify]: Simplify x into x
2.708 * [taylor]: Taking taylor expansion of x in y
2.708 * [backup-simplify]: Simplify x into x
2.708 * [taylor]: Taking taylor expansion of (* y y) in y
2.708 * [taylor]: Taking taylor expansion of y in y
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 1 into 1
2.708 * [taylor]: Taking taylor expansion of y in y
2.708 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify 1 into 1
2.708 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.708 * [backup-simplify]: Simplify (* 0 0) into 0
2.708 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.708 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.709 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.709 * [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 (* z z) in y
2.709 * [taylor]: Taking taylor expansion of z in y
2.709 * [backup-simplify]: Simplify z into z
2.709 * [taylor]: Taking taylor expansion of z in y
2.709 * [backup-simplify]: Simplify z into z
2.709 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.710 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.710 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.710 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.710 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.710 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.710 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.710 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
2.710 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
2.710 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
2.710 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
2.710 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.710 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.710 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.710 * [taylor]: Taking taylor expansion of (* x x) in x
2.710 * [taylor]: Taking taylor expansion of x in x
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 1 into 1
2.710 * [taylor]: Taking taylor expansion of x in x
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 1 into 1
2.710 * [taylor]: Taking taylor expansion of (* y y) in x
2.710 * [taylor]: Taking taylor expansion of y in x
2.710 * [backup-simplify]: Simplify y into y
2.711 * [taylor]: Taking taylor expansion of y in x
2.711 * [backup-simplify]: Simplify y into y
2.711 * [backup-simplify]: Simplify (* 0 0) into 0
2.711 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.711 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.711 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.711 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.712 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.712 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.712 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.712 * [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
2.713 * [backup-simplify]: Simplify (+ 0 0) into 0
2.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.713 * [taylor]: Taking taylor expansion of (* z z) in x
2.713 * [taylor]: Taking taylor expansion of z in x
2.713 * [backup-simplify]: Simplify z into z
2.713 * [taylor]: Taking taylor expansion of z in x
2.713 * [backup-simplify]: Simplify z into z
2.713 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.714 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.714 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.714 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.714 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.714 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.714 * [backup-simplify]: Simplify (+ 0 0) into 0
2.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.714 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
2.714 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
2.714 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
2.714 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
2.714 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.714 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.714 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.714 * [taylor]: Taking taylor expansion of (* x x) in x
2.714 * [taylor]: Taking taylor expansion of x in x
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [taylor]: Taking taylor expansion of x in x
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [taylor]: Taking taylor expansion of (* y y) in x
2.715 * [taylor]: Taking taylor expansion of y in x
2.715 * [backup-simplify]: Simplify y into y
2.715 * [taylor]: Taking taylor expansion of y in x
2.715 * [backup-simplify]: Simplify y into y
2.715 * [backup-simplify]: Simplify (* 0 0) into 0
2.715 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.715 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.715 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.715 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.716 * [backup-simplify]: Simplify (+ 0 0) into 0
2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.716 * [taylor]: Taking taylor expansion of (hypot x y) in x
2.716 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
2.716 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
2.716 * [taylor]: Taking taylor expansion of (* x x) in x
2.716 * [taylor]: Taking taylor expansion of x in x
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 1 into 1
2.716 * [taylor]: Taking taylor expansion of x in x
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 1 into 1
2.716 * [taylor]: Taking taylor expansion of (* y y) in x
2.716 * [taylor]: Taking taylor expansion of y in x
2.716 * [backup-simplify]: Simplify y into y
2.716 * [taylor]: Taking taylor expansion of y in x
2.716 * [backup-simplify]: Simplify y into y
2.716 * [backup-simplify]: Simplify (* 0 0) into 0
2.716 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.716 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.717 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.717 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.717 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.717 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.717 * [taylor]: Taking taylor expansion of (* z z) in x
2.717 * [taylor]: Taking taylor expansion of z in x
2.717 * [backup-simplify]: Simplify z into z
2.717 * [taylor]: Taking taylor expansion of z in x
2.717 * [backup-simplify]: Simplify z into z
2.717 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.717 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.718 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.718 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.718 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.718 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.718 * [backup-simplify]: Simplify (+ 0 0) into 0
2.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.718 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.718 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.718 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.718 * [taylor]: Taking taylor expansion of y in y
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 1 into 1
2.718 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.718 * [taylor]: Taking taylor expansion of z in y
2.718 * [backup-simplify]: Simplify z into z
2.718 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.718 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.718 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.719 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.719 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.719 * [taylor]: Taking taylor expansion of z in z
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [taylor]: Taking taylor expansion of 0 in y
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [taylor]: Taking taylor expansion of 0 in z
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [taylor]: Taking taylor expansion of 0 in z
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.720 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.720 * [backup-simplify]: Simplify (+ 1 0) into 1
2.721 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.721 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.722 * [backup-simplify]: Simplify (+ 1 0) into 1
2.722 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.722 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
2.723 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.723 * [backup-simplify]: Simplify (+ 1 0) into 1
2.724 * [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)))))
2.724 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.724 * [taylor]: Taking taylor expansion of 1/2 in y
2.724 * [backup-simplify]: Simplify 1/2 into 1/2
2.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.724 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.724 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.724 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.724 * [taylor]: Taking taylor expansion of y in y
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify 1 into 1
2.724 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.724 * [taylor]: Taking taylor expansion of z in y
2.724 * [backup-simplify]: Simplify z into z
2.724 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.724 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.724 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.724 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.724 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.724 * [backup-simplify]: Simplify (+ 0 0) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.725 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.725 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.725 * [taylor]: Taking taylor expansion of 1/2 in z
2.725 * [backup-simplify]: Simplify 1/2 into 1/2
2.725 * [taylor]: Taking taylor expansion of z in z
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify 1 into 1
2.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify 0 into 0
2.726 * [taylor]: Taking taylor expansion of 0 in z
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify (* 1 1) into 1
2.726 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.726 * [backup-simplify]: Simplify (+ 1 0) into 1
2.727 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.727 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.727 * [taylor]: Taking taylor expansion of 1/2 in z
2.727 * [backup-simplify]: Simplify 1/2 into 1/2
2.727 * [taylor]: Taking taylor expansion of z in z
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.728 * [backup-simplify]: Simplify (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))
2.728 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0
2.728 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
2.728 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
2.728 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
2.728 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
2.728 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
2.728 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.728 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
2.728 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.728 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.728 * [taylor]: Taking taylor expansion of x in z
2.728 * [backup-simplify]: Simplify x into x
2.729 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.729 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.729 * [taylor]: Taking taylor expansion of x in z
2.729 * [backup-simplify]: Simplify x into x
2.729 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.729 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
2.729 * [taylor]: Taking taylor expansion of (/ 1 y) in z
2.729 * [taylor]: Taking taylor expansion of y in z
2.729 * [backup-simplify]: Simplify y into y
2.729 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.729 * [taylor]: Taking taylor expansion of (/ 1 y) in z
2.729 * [taylor]: Taking taylor expansion of y in z
2.729 * [backup-simplify]: Simplify y into y
2.729 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.729 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.729 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.729 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.729 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.729 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.730 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.730 * [backup-simplify]: Simplify (+ 0 0) into 0
2.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
2.730 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
2.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
2.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.730 * [taylor]: Taking taylor expansion of x in z
2.730 * [backup-simplify]: Simplify x into x
2.730 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.730 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.730 * [taylor]: Taking taylor expansion of x in z
2.730 * [backup-simplify]: Simplify x into x
2.730 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.730 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
2.730 * [taylor]: Taking taylor expansion of (/ 1 y) in z
2.731 * [taylor]: Taking taylor expansion of y in z
2.731 * [backup-simplify]: Simplify y into y
2.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.731 * [taylor]: Taking taylor expansion of (/ 1 y) in z
2.731 * [taylor]: Taking taylor expansion of y in z
2.731 * [backup-simplify]: Simplify y into y
2.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.731 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.731 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.731 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.731 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.731 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.731 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
2.732 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.732 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.732 * [taylor]: Taking taylor expansion of z in z
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (/ 1 1) into 1
2.732 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.732 * [taylor]: Taking taylor expansion of z in z
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (/ 1 1) into 1
2.733 * [backup-simplify]: Simplify (* 1 1) into 1
2.733 * [backup-simplify]: Simplify (+ 0 1) into 1
2.733 * [backup-simplify]: Simplify (sqrt 1) into 1
2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.735 * [backup-simplify]: Simplify (+ 0 0) into 0
2.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.738 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
2.738 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
2.738 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
2.738 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
2.738 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.738 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.738 * [taylor]: Taking taylor expansion of x in y
2.738 * [backup-simplify]: Simplify x into x
2.738 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.738 * [taylor]: Taking taylor expansion of x in y
2.738 * [backup-simplify]: Simplify x into x
2.738 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.738 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.738 * [taylor]: Taking taylor expansion of y in y
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 1 into 1
2.739 * [backup-simplify]: Simplify (/ 1 1) into 1
2.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.739 * [taylor]: Taking taylor expansion of y in y
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [backup-simplify]: Simplify (/ 1 1) into 1
2.740 * [backup-simplify]: Simplify (* 1 1) into 1
2.740 * [backup-simplify]: Simplify (+ 0 1) 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
2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
2.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
2.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.742 * [taylor]: Taking taylor expansion of x in y
2.742 * [backup-simplify]: Simplify x into x
2.742 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.742 * [taylor]: Taking taylor expansion of x in y
2.742 * [backup-simplify]: Simplify x into x
2.742 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.742 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
2.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.742 * [taylor]: Taking taylor expansion of y in y
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.743 * [taylor]: Taking taylor expansion of y in y
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [backup-simplify]: Simplify (* 1 1) into 1
2.744 * [backup-simplify]: Simplify (+ 0 1) into 1
2.744 * [backup-simplify]: Simplify (sqrt 1) into 1
2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.745 * [backup-simplify]: Simplify (+ 0 0) into 0
2.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.746 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
2.746 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.746 * [taylor]: Taking taylor expansion of z in y
2.746 * [backup-simplify]: Simplify z into z
2.746 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.746 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.746 * [taylor]: Taking taylor expansion of z in y
2.746 * [backup-simplify]: Simplify z into z
2.746 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.746 * [backup-simplify]: Simplify (* 1 1) into 1
2.747 * [backup-simplify]: Simplify (+ 1 0) into 1
2.747 * [backup-simplify]: Simplify (sqrt 1) into 1
2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.748 * [backup-simplify]: Simplify (+ 0 0) into 0
2.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.748 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
2.748 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
2.748 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
2.748 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
2.748 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.748 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.748 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.748 * [taylor]: Taking taylor expansion of x in x
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.749 * [backup-simplify]: Simplify (/ 1 1) into 1
2.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.749 * [taylor]: Taking taylor expansion of x in x
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [backup-simplify]: Simplify (/ 1 1) into 1
2.749 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.749 * [taylor]: Taking taylor expansion of y in x
2.749 * [backup-simplify]: Simplify y into y
2.749 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.749 * [taylor]: Taking taylor expansion of y in x
2.750 * [backup-simplify]: Simplify y into y
2.750 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.750 * [backup-simplify]: Simplify (* 1 1) into 1
2.750 * [backup-simplify]: Simplify (+ 1 0) into 1
2.751 * [backup-simplify]: Simplify (sqrt 1) into 1
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.752 * [backup-simplify]: Simplify (+ 0 0) into 0
2.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.753 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.753 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.753 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.753 * [taylor]: Taking taylor expansion of x in x
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (/ 1 1) into 1
2.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.753 * [taylor]: Taking taylor expansion of x in x
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.754 * [backup-simplify]: Simplify (/ 1 1) into 1
2.754 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.754 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.754 * [taylor]: Taking taylor expansion of y in x
2.754 * [backup-simplify]: Simplify y into y
2.754 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.754 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.754 * [taylor]: Taking taylor expansion of y in x
2.754 * [backup-simplify]: Simplify y into y
2.754 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.754 * [backup-simplify]: Simplify (* 1 1) into 1
2.754 * [backup-simplify]: Simplify (+ 1 0) into 1
2.754 * [backup-simplify]: Simplify (sqrt 1) into 1
2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.756 * [backup-simplify]: Simplify (+ 0 0) into 0
2.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.757 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.757 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.757 * [taylor]: Taking taylor expansion of z in x
2.757 * [backup-simplify]: Simplify z into z
2.757 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.757 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.757 * [taylor]: Taking taylor expansion of z in x
2.757 * [backup-simplify]: Simplify z into z
2.757 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.757 * [backup-simplify]: Simplify (* 1 1) into 1
2.757 * [backup-simplify]: Simplify (+ 1 0) into 1
2.758 * [backup-simplify]: Simplify (sqrt 1) into 1
2.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.758 * [backup-simplify]: Simplify (+ 0 0) into 0
2.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.759 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
2.759 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
2.759 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
2.759 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
2.759 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
2.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
2.759 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
2.759 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.759 * [taylor]: Taking taylor expansion of x in x
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify 1 into 1
2.759 * [backup-simplify]: Simplify (/ 1 1) into 1
2.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.760 * [taylor]: Taking taylor expansion of x in x
2.760 * [backup-simplify]: Simplify 0 into 0
2.760 * [backup-simplify]: Simplify 1 into 1
2.760 * [backup-simplify]: Simplify (/ 1 1) into 1
2.760 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
2.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.760 * [taylor]: Taking taylor expansion of y in x
2.760 * [backup-simplify]: Simplify y into y
2.760 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x
2.760 * [taylor]: Taking taylor expansion of y in x
2.760 * [backup-simplify]: Simplify y into y
2.760 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.760 * [backup-simplify]: Simplify (* 1 1) into 1
2.761 * [backup-simplify]: Simplify (+ 1 0) into 1
2.761 * [backup-simplify]: Simplify (sqrt 1) into 1
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.762 * [backup-simplify]: Simplify (+ 0 0) into 0
2.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.763 * [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 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 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 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 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
2.764 * [backup-simplify]: Simplify (+ 1 0) into 1
2.765 * [backup-simplify]: Simplify (sqrt 1) into 1
2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.767 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.767 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.767 * [taylor]: Taking taylor expansion of z in x
2.767 * [backup-simplify]: Simplify z into z
2.767 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.767 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.767 * [taylor]: Taking taylor expansion of z in x
2.767 * [backup-simplify]: Simplify z into z
2.767 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.767 * [backup-simplify]: Simplify (* 1 1) into 1
2.767 * [backup-simplify]: Simplify (+ 1 0) into 1
2.768 * [backup-simplify]: Simplify (sqrt 1) into 1
2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.768 * [backup-simplify]: Simplify (+ 0 0) into 0
2.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.769 * [taylor]: Taking taylor expansion of 1 in y
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [taylor]: Taking taylor expansion of 0 in y
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [taylor]: Taking taylor expansion of 1 in z
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.771 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.771 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.772 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.774 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
2.774 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.775 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.775 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
2.775 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
2.775 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.776 * [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))))
2.776 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.776 * [taylor]: Taking taylor expansion of 1/2 in y
2.776 * [backup-simplify]: Simplify 1/2 into 1/2
2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.776 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.776 * [taylor]: Taking taylor expansion of y in y
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 1 into 1
2.777 * [backup-simplify]: Simplify (* 1 1) into 1
2.777 * [backup-simplify]: Simplify (/ 1 1) into 1
2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.777 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.777 * [taylor]: Taking taylor expansion of z in y
2.777 * [backup-simplify]: Simplify z into z
2.777 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.777 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.778 * [backup-simplify]: Simplify (+ 0 0) into 0
2.779 * [backup-simplify]: Simplify (+ 1 0) into 1
2.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.779 * [taylor]: Taking taylor expansion of 0 in z
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [taylor]: Taking taylor expansion of 0 in z
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [taylor]: Taking taylor expansion of 0 in z
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify 1 into 1
2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.782 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
2.782 * [backup-simplify]: Simplify (+ 0 0) into 0
2.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.784 * [backup-simplify]: Simplify (- (+ (* 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
2.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.785 * [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
2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
2.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
2.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
2.786 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
2.787 * [backup-simplify]: Simplify (+ 0 0) into 0
2.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.787 * [taylor]: Taking taylor expansion of 0 in y
2.787 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.789 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.789 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.789 * [taylor]: Taking taylor expansion of 1/2 in z
2.789 * [backup-simplify]: Simplify 1/2 into 1/2
2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.789 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.789 * [taylor]: Taking taylor expansion of z in z
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 1 into 1
2.790 * [backup-simplify]: Simplify (* 1 1) into 1
2.790 * [backup-simplify]: Simplify (/ 1 1) into 1
2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [taylor]: Taking taylor expansion of 0 in z
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [taylor]: Taking taylor expansion of 0 in z
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.794 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.794 * [backup-simplify]: Simplify (+ 0 0) into 0
2.795 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.798 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.798 * [backup-simplify]: Simplify (+ 0 0) into 0
2.799 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.800 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.800 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
2.800 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [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))))))
2.801 * [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
2.801 * [taylor]: Taking taylor expansion of -1/2 in y
2.801 * [backup-simplify]: Simplify -1/2 into -1/2
2.801 * [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
2.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.801 * [taylor]: Taking taylor expansion of 1/2 in y
2.801 * [backup-simplify]: Simplify 1/2 into 1/2
2.801 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.801 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.801 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.801 * [taylor]: Taking taylor expansion of z in y
2.802 * [backup-simplify]: Simplify z into z
2.802 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.802 * [taylor]: Taking taylor expansion of y in y
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.802 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.802 * [backup-simplify]: Simplify (* 1 1) into 1
2.802 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.802 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.802 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.802 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.802 * [taylor]: Taking taylor expansion of 1/4 in y
2.802 * [backup-simplify]: Simplify 1/4 into 1/4
2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.802 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.802 * [taylor]: Taking taylor expansion of y in y
2.802 * [backup-simplify]: Simplify 0 into 0
2.802 * [backup-simplify]: Simplify 1 into 1
2.802 * [backup-simplify]: Simplify (* 1 1) into 1
2.803 * [backup-simplify]: Simplify (* 1 1) into 1
2.803 * [backup-simplify]: Simplify (/ 1 1) into 1
2.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.803 * [taylor]: Taking taylor expansion of 1/4 in y
2.803 * [backup-simplify]: Simplify 1/4 into 1/4
2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.803 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.803 * [taylor]: Taking taylor expansion of z in y
2.803 * [backup-simplify]: Simplify z into z
2.803 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.803 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.803 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.804 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.805 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.818 * [backup-simplify]: Simplify (+ 0 0) into 0
2.818 * [backup-simplify]: Simplify (+ 0 0) into 0
2.818 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.820 * [backup-simplify]: Simplify (+ 0 0) into 0
2.820 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.821 * [backup-simplify]: Simplify (+ 0 0) into 0
2.822 * [backup-simplify]: Simplify (+ 0 0) into 0
2.822 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.823 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.823 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.825 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.825 * [taylor]: Taking taylor expansion of 0 in z
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [taylor]: Taking taylor expansion of 0 in z
2.825 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.828 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.829 * [taylor]: Taking taylor expansion of 0 in z
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [taylor]: Taking taylor expansion of 0 in z
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [taylor]: Taking taylor expansion of 0 in z
2.830 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.833 * [backup-simplify]: Simplify (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))
2.833 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0
2.833 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
2.833 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
2.833 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
2.833 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
2.833 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
2.833 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.833 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
2.833 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.833 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.833 * [taylor]: Taking taylor expansion of -1 in z
2.833 * [backup-simplify]: Simplify -1 into -1
2.833 * [taylor]: Taking taylor expansion of x in z
2.833 * [backup-simplify]: Simplify x into x
2.833 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.833 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.833 * [taylor]: Taking taylor expansion of -1 in z
2.833 * [backup-simplify]: Simplify -1 into -1
2.833 * [taylor]: Taking taylor expansion of x in z
2.833 * [backup-simplify]: Simplify x into x
2.833 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.833 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
2.833 * [taylor]: Taking taylor expansion of (/ -1 y) in z
2.833 * [taylor]: Taking taylor expansion of -1 in z
2.833 * [backup-simplify]: Simplify -1 into -1
2.833 * [taylor]: Taking taylor expansion of y in z
2.833 * [backup-simplify]: Simplify y into y
2.833 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.833 * [taylor]: Taking taylor expansion of (/ -1 y) in z
2.833 * [taylor]: Taking taylor expansion of -1 in z
2.833 * [backup-simplify]: Simplify -1 into -1
2.833 * [taylor]: Taking taylor expansion of y in z
2.833 * [backup-simplify]: Simplify y into y
2.833 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.833 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.834 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.834 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.834 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.834 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.834 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.834 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.834 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.834 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.834 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.835 * [backup-simplify]: Simplify (+ 0 0) into 0
2.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
2.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
2.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
2.835 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.835 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.835 * [taylor]: Taking taylor expansion of -1 in z
2.835 * [backup-simplify]: Simplify -1 into -1
2.835 * [taylor]: Taking taylor expansion of x in z
2.835 * [backup-simplify]: Simplify x into x
2.835 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.835 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.835 * [taylor]: Taking taylor expansion of -1 in z
2.835 * [backup-simplify]: Simplify -1 into -1
2.835 * [taylor]: Taking taylor expansion of x in z
2.835 * [backup-simplify]: Simplify x into x
2.835 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.835 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
2.835 * [taylor]: Taking taylor expansion of (/ -1 y) in z
2.835 * [taylor]: Taking taylor expansion of -1 in z
2.835 * [backup-simplify]: Simplify -1 into -1
2.835 * [taylor]: Taking taylor expansion of y in z
2.835 * [backup-simplify]: Simplify y into y
2.835 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.835 * [taylor]: Taking taylor expansion of (/ -1 y) in z
2.835 * [taylor]: Taking taylor expansion of -1 in z
2.835 * [backup-simplify]: Simplify -1 into -1
2.835 * [taylor]: Taking taylor expansion of y in z
2.835 * [backup-simplify]: Simplify y into y
2.835 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.835 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.835 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.836 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.836 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
2.836 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.836 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.836 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.836 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.836 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.836 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.837 * [backup-simplify]: Simplify (+ 0 0) into 0
2.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) into 0
2.837 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.837 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.837 * [taylor]: Taking taylor expansion of -1 in z
2.837 * [backup-simplify]: Simplify -1 into -1
2.837 * [taylor]: Taking taylor expansion of z in z
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 1 into 1
2.837 * [backup-simplify]: Simplify (/ -1 1) into -1
2.837 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.837 * [taylor]: Taking taylor expansion of -1 in z
2.837 * [backup-simplify]: Simplify -1 into -1
2.837 * [taylor]: Taking taylor expansion of z in z
2.837 * [backup-simplify]: Simplify 0 into 0
2.837 * [backup-simplify]: Simplify 1 into 1
2.838 * [backup-simplify]: Simplify (/ -1 1) into -1
2.838 * [backup-simplify]: Simplify (* -1 -1) into 1
2.838 * [backup-simplify]: Simplify (+ 0 1) into 1
2.838 * [backup-simplify]: Simplify (sqrt 1) into 1
2.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.841 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
2.841 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
2.841 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
2.841 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
2.841 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.841 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.841 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.841 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.841 * [taylor]: Taking taylor expansion of -1 in y
2.841 * [backup-simplify]: Simplify -1 into -1
2.841 * [taylor]: Taking taylor expansion of x in y
2.841 * [backup-simplify]: Simplify x into x
2.841 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.841 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.841 * [taylor]: Taking taylor expansion of -1 in y
2.841 * [backup-simplify]: Simplify -1 into -1
2.841 * [taylor]: Taking taylor expansion of x in y
2.841 * [backup-simplify]: Simplify x into x
2.841 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.841 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.841 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.841 * [taylor]: Taking taylor expansion of -1 in y
2.841 * [backup-simplify]: Simplify -1 into -1
2.841 * [taylor]: Taking taylor expansion of y in y
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [backup-simplify]: Simplify (/ -1 1) into -1
2.841 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.842 * [taylor]: Taking taylor expansion of -1 in y
2.842 * [backup-simplify]: Simplify -1 into -1
2.842 * [taylor]: Taking taylor expansion of y in y
2.842 * [backup-simplify]: Simplify 0 into 0
2.842 * [backup-simplify]: Simplify 1 into 1
2.842 * [backup-simplify]: Simplify (/ -1 1) into -1
2.842 * [backup-simplify]: Simplify (* -1 -1) into 1
2.842 * [backup-simplify]: Simplify (+ 0 1) into 1
2.843 * [backup-simplify]: Simplify (sqrt 1) into 1
2.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.844 * [backup-simplify]: Simplify (+ 0 0) into 0
2.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.845 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
2.845 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.845 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
2.845 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.845 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.845 * [taylor]: Taking taylor expansion of -1 in y
2.845 * [backup-simplify]: Simplify -1 into -1
2.845 * [taylor]: Taking taylor expansion of x in y
2.845 * [backup-simplify]: Simplify x into x
2.845 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.845 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.845 * [taylor]: Taking taylor expansion of -1 in y
2.845 * [backup-simplify]: Simplify -1 into -1
2.845 * [taylor]: Taking taylor expansion of x in y
2.845 * [backup-simplify]: Simplify x into x
2.845 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.845 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
2.845 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.845 * [taylor]: Taking taylor expansion of -1 in y
2.845 * [backup-simplify]: Simplify -1 into -1
2.845 * [taylor]: Taking taylor expansion of y in y
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.846 * [backup-simplify]: Simplify (/ -1 1) into -1
2.846 * [taylor]: Taking taylor expansion of (/ -1 y) in y
2.846 * [taylor]: Taking taylor expansion of -1 in y
2.846 * [backup-simplify]: Simplify -1 into -1
2.846 * [taylor]: Taking taylor expansion of y in y
2.846 * [backup-simplify]: Simplify 0 into 0
2.846 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (/ -1 1) into -1
2.848 * [backup-simplify]: Simplify (* -1 -1) into 1
2.849 * [backup-simplify]: Simplify (+ 0 1) into 1
2.849 * [backup-simplify]: Simplify (sqrt 1) into 1
2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.851 * [backup-simplify]: Simplify (+ 0 0) into 0
2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.851 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
2.851 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.851 * [taylor]: Taking taylor expansion of -1 in y
2.851 * [backup-simplify]: Simplify -1 into -1
2.851 * [taylor]: Taking taylor expansion of z in y
2.851 * [backup-simplify]: Simplify z into z
2.851 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.851 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.851 * [taylor]: Taking taylor expansion of -1 in y
2.851 * [backup-simplify]: Simplify -1 into -1
2.851 * [taylor]: Taking taylor expansion of z in y
2.851 * [backup-simplify]: Simplify z into z
2.851 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.852 * [backup-simplify]: Simplify (* 1 1) into 1
2.852 * [backup-simplify]: Simplify (+ 1 0) into 1
2.852 * [backup-simplify]: Simplify (sqrt 1) into 1
2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.853 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
2.853 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
2.854 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
2.854 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
2.854 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.854 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.854 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.854 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.854 * [taylor]: Taking taylor expansion of -1 in x
2.854 * [backup-simplify]: Simplify -1 into -1
2.854 * [taylor]: Taking taylor expansion of x in x
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [backup-simplify]: Simplify (/ -1 1) into -1
2.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.854 * [taylor]: Taking taylor expansion of -1 in x
2.854 * [backup-simplify]: Simplify -1 into -1
2.854 * [taylor]: Taking taylor expansion of x in x
2.854 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify 1 into 1
2.854 * [backup-simplify]: Simplify (/ -1 1) into -1
2.854 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.854 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.855 * [taylor]: Taking taylor expansion of -1 in x
2.855 * [backup-simplify]: Simplify -1 into -1
2.855 * [taylor]: Taking taylor expansion of y in x
2.855 * [backup-simplify]: Simplify y into y
2.855 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.855 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.855 * [taylor]: Taking taylor expansion of -1 in x
2.855 * [backup-simplify]: Simplify -1 into -1
2.855 * [taylor]: Taking taylor expansion of y in x
2.855 * [backup-simplify]: Simplify y into y
2.855 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.855 * [backup-simplify]: Simplify (* -1 -1) into 1
2.855 * [backup-simplify]: Simplify (+ 1 0) into 1
2.856 * [backup-simplify]: Simplify (sqrt 1) into 1
2.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.857 * [backup-simplify]: Simplify (+ 0 0) into 0
2.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.858 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.858 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.858 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.858 * [taylor]: Taking taylor expansion of -1 in x
2.858 * [backup-simplify]: Simplify -1 into -1
2.858 * [taylor]: Taking taylor expansion of x in x
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (/ -1 1) into -1
2.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.858 * [taylor]: Taking taylor expansion of -1 in x
2.858 * [backup-simplify]: Simplify -1 into -1
2.858 * [taylor]: Taking taylor expansion of x in x
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 1 into 1
2.859 * [backup-simplify]: Simplify (/ -1 1) into -1
2.859 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.859 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.859 * [taylor]: Taking taylor expansion of -1 in x
2.859 * [backup-simplify]: Simplify -1 into -1
2.859 * [taylor]: Taking taylor expansion of y in x
2.859 * [backup-simplify]: Simplify y into y
2.859 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.859 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.859 * [taylor]: Taking taylor expansion of -1 in x
2.859 * [backup-simplify]: Simplify -1 into -1
2.859 * [taylor]: Taking taylor expansion of y in x
2.859 * [backup-simplify]: Simplify y into y
2.859 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.859 * [backup-simplify]: Simplify (* -1 -1) into 1
2.860 * [backup-simplify]: Simplify (+ 1 0) into 1
2.860 * [backup-simplify]: Simplify (sqrt 1) into 1
2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.862 * [backup-simplify]: Simplify (+ 0 0) into 0
2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.862 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.862 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.862 * [taylor]: Taking taylor expansion of -1 in x
2.862 * [backup-simplify]: Simplify -1 into -1
2.862 * [taylor]: Taking taylor expansion of z in x
2.862 * [backup-simplify]: Simplify z into z
2.862 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.862 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.862 * [taylor]: Taking taylor expansion of -1 in x
2.862 * [backup-simplify]: Simplify -1 into -1
2.862 * [taylor]: Taking taylor expansion of z in x
2.862 * [backup-simplify]: Simplify z into z
2.862 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.863 * [backup-simplify]: Simplify (* 1 1) into 1
2.863 * [backup-simplify]: Simplify (+ 1 0) into 1
2.863 * [backup-simplify]: Simplify (sqrt 1) into 1
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.864 * [backup-simplify]: Simplify (+ 0 0) into 0
2.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.864 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
2.864 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
2.864 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
2.864 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
2.864 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.864 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.864 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.864 * [taylor]: Taking taylor expansion of -1 in x
2.864 * [backup-simplify]: Simplify -1 into -1
2.864 * [taylor]: Taking taylor expansion of x in x
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 1 into 1
2.865 * [backup-simplify]: Simplify (/ -1 1) into -1
2.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.865 * [taylor]: Taking taylor expansion of -1 in x
2.865 * [backup-simplify]: Simplify -1 into -1
2.865 * [taylor]: Taking taylor expansion of x in x
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 1 into 1
2.865 * [backup-simplify]: Simplify (/ -1 1) into -1
2.865 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.865 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.865 * [taylor]: Taking taylor expansion of -1 in x
2.865 * [backup-simplify]: Simplify -1 into -1
2.865 * [taylor]: Taking taylor expansion of y in x
2.865 * [backup-simplify]: Simplify y into y
2.865 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.865 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.865 * [taylor]: Taking taylor expansion of -1 in x
2.865 * [backup-simplify]: Simplify -1 into -1
2.865 * [taylor]: Taking taylor expansion of y in x
2.865 * [backup-simplify]: Simplify y into y
2.865 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.866 * [backup-simplify]: Simplify (* -1 -1) into 1
2.866 * [backup-simplify]: Simplify (+ 1 0) into 1
2.866 * [backup-simplify]: Simplify (sqrt 1) into 1
2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.868 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
2.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
2.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
2.869 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.869 * [taylor]: Taking taylor expansion of -1 in x
2.869 * [backup-simplify]: Simplify -1 into -1
2.869 * [taylor]: Taking taylor expansion of x in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [backup-simplify]: Simplify (/ -1 1) into -1
2.869 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.869 * [taylor]: Taking taylor expansion of -1 in x
2.869 * [backup-simplify]: Simplify -1 into -1
2.869 * [taylor]: Taking taylor expansion of x in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.869 * [backup-simplify]: Simplify 1 into 1
2.869 * [backup-simplify]: Simplify (/ -1 1) into -1
2.869 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
2.869 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.869 * [taylor]: Taking taylor expansion of -1 in x
2.869 * [backup-simplify]: Simplify -1 into -1
2.869 * [taylor]: Taking taylor expansion of y in x
2.869 * [backup-simplify]: Simplify y into y
2.869 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.869 * [taylor]: Taking taylor expansion of (/ -1 y) in x
2.869 * [taylor]: Taking taylor expansion of -1 in x
2.870 * [backup-simplify]: Simplify -1 into -1
2.870 * [taylor]: Taking taylor expansion of y in x
2.870 * [backup-simplify]: Simplify y into y
2.870 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
2.870 * [backup-simplify]: Simplify (* -1 -1) into 1
2.870 * [backup-simplify]: Simplify (+ 1 0) into 1
2.870 * [backup-simplify]: Simplify (sqrt 1) into 1
2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.872 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.872 * [backup-simplify]: Simplify (+ 0 0) into 0
2.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.873 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.873 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.873 * [taylor]: Taking taylor expansion of -1 in x
2.873 * [backup-simplify]: Simplify -1 into -1
2.873 * [taylor]: Taking taylor expansion of z in x
2.873 * [backup-simplify]: Simplify z into z
2.873 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.873 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.873 * [taylor]: Taking taylor expansion of -1 in x
2.873 * [backup-simplify]: Simplify -1 into -1
2.873 * [taylor]: Taking taylor expansion of z in x
2.873 * [backup-simplify]: Simplify z into z
2.873 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.873 * [backup-simplify]: Simplify (* 1 1) into 1
2.873 * [backup-simplify]: Simplify (+ 1 0) into 1
2.874 * [backup-simplify]: Simplify (sqrt 1) into 1
2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.874 * [backup-simplify]: Simplify (+ 0 0) into 0
2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.875 * [taylor]: Taking taylor expansion of 1 in y
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [taylor]: Taking taylor expansion of 0 in y
2.875 * [backup-simplify]: Simplify 0 into 0
2.875 * [taylor]: Taking taylor expansion of 1 in z
2.875 * [backup-simplify]: Simplify 1 into 1
2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.877 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.877 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.877 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.878 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.880 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.880 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
2.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.881 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.882 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
2.882 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
2.882 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.883 * [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))))
2.883 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.883 * [taylor]: Taking taylor expansion of 1/2 in y
2.883 * [backup-simplify]: Simplify 1/2 into 1/2
2.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.883 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.883 * [taylor]: Taking taylor expansion of y in y
2.883 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify 1 into 1
2.883 * [backup-simplify]: Simplify (* 1 1) into 1
2.884 * [backup-simplify]: Simplify (/ 1 1) into 1
2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.884 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.884 * [taylor]: Taking taylor expansion of z in y
2.884 * [backup-simplify]: Simplify z into z
2.884 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.884 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ 0 0) into 0
2.885 * [backup-simplify]: Simplify (+ 1 0) into 1
2.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.886 * [taylor]: Taking taylor expansion of 0 in z
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [taylor]: Taking taylor expansion of 0 in z
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [taylor]: Taking taylor expansion of 0 in z
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.890 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.890 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.890 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.890 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.895 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.895 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
2.895 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
2.896 * [backup-simplify]: Simplify (+ 0 0) into 0
2.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
2.898 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
2.898 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
2.898 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
2.899 * [backup-simplify]: Simplify (+ 0 0) into 0
2.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.899 * [taylor]: Taking taylor expansion of 0 in y
2.900 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.902 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.903 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.903 * [taylor]: Taking taylor expansion of 1/2 in z
2.903 * [backup-simplify]: Simplify 1/2 into 1/2
2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.903 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.903 * [taylor]: Taking taylor expansion of z in z
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.904 * [backup-simplify]: Simplify (* 1 1) into 1
2.904 * [backup-simplify]: Simplify (/ 1 1) into 1
2.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [taylor]: Taking taylor expansion of 0 in z
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [taylor]: Taking taylor expansion of 0 in z
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.911 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.911 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.912 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
2.913 * [backup-simplify]: Simplify (+ 0 0) into 0
2.914 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.918 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.918 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.919 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
2.919 * [backup-simplify]: Simplify (+ 0 0) into 0
2.921 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.922 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
2.922 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.922 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.923 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
2.923 * [backup-simplify]: Simplify (+ 0 0) into 0
2.925 * [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))))))
2.925 * [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
2.925 * [taylor]: Taking taylor expansion of -1/2 in y
2.925 * [backup-simplify]: Simplify -1/2 into -1/2
2.925 * [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
2.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.925 * [taylor]: Taking taylor expansion of 1/2 in y
2.925 * [backup-simplify]: Simplify 1/2 into 1/2
2.925 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.925 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.925 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.925 * [taylor]: Taking taylor expansion of z in y
2.925 * [backup-simplify]: Simplify z into z
2.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.925 * [taylor]: Taking taylor expansion of y in y
2.925 * [backup-simplify]: Simplify 0 into 0
2.925 * [backup-simplify]: Simplify 1 into 1
2.925 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.926 * [backup-simplify]: Simplify (* 1 1) into 1
2.926 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.926 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.926 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.926 * [taylor]: Taking taylor expansion of 1/4 in y
2.926 * [backup-simplify]: Simplify 1/4 into 1/4
2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.926 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.926 * [taylor]: Taking taylor expansion of y in y
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (/ 1 1) into 1
2.928 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.928 * [taylor]: Taking taylor expansion of 1/4 in y
2.928 * [backup-simplify]: Simplify 1/4 into 1/4
2.928 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.928 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.928 * [taylor]: Taking taylor expansion of z in y
2.928 * [backup-simplify]: Simplify z into z
2.928 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.928 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.928 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.929 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.930 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [backup-simplify]: Simplify (+ 0 0) into 0
2.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.940 * [backup-simplify]: Simplify (+ 0 0) into 0
2.941 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.941 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.941 * [backup-simplify]: Simplify (+ 0 0) into 0
2.942 * [backup-simplify]: Simplify (+ 0 0) into 0
2.942 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.942 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.942 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.943 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.943 * [taylor]: Taking taylor expansion of 0 in z
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [taylor]: Taking taylor expansion of 0 in z
2.943 * [backup-simplify]: Simplify 0 into 0
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.945 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.945 * [backup-simplify]: Simplify (+ 0 0) into 0
2.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.946 * [taylor]: Taking taylor expansion of 0 in z
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [taylor]: Taking taylor expansion of 0 in z
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [taylor]: Taking taylor expansion of 0 in z
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.948 * [backup-simplify]: Simplify 0 into 0
2.948 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.948 * * * [progress]: simplifying candidates
2.948 * * * * [progress]: [ 1 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (log1p (expm1 (hypot x y))) z))>
2.948 * * * * [progress]: [ 2 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (expm1 (log1p (hypot x y))) z))>
2.948 * * * * [progress]: [ 3 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
2.948 * * * * [progress]: [ 4 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (pow (hypot x y) 1) z))>
2.948 * * * * [progress]: [ 5 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (exp (log (hypot x y))) z))>
2.948 * * * * [progress]: [ 6 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (log (exp (hypot x y))) z))>
2.948 * * * * [progress]: [ 7 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y))) z))>
2.948 * * * * [progress]: [ 8 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (cbrt (* (* (hypot x y) (hypot x y)) (hypot x y))) z))>
2.948 * * * * [progress]: [ 9 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (* (sqrt (hypot x y)) (sqrt (hypot x y))) z))>
2.948 * * * * [progress]: [ 10 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (* 1 (hypot x y)) z))>
2.948 * * * * [progress]: [ 11 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (posit16->real (real->posit16 (hypot x y))) z))>
2.949 * * * * [progress]: [ 12 / 28 ] simplifiying candidate #<alt (λ (x y z) (log1p (expm1 (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 13 / 28 ] simplifiying candidate #<alt (λ (x y z) (expm1 (log1p (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 14 / 28 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* (hypot x y) (hypot x y)) (* z z))))>
2.949 * * * * [progress]: [ 15 / 28 ] simplifiying candidate #<alt (λ (x y z) (pow (hypot (hypot x y) z) 1))>
2.949 * * * * [progress]: [ 16 / 28 ] simplifiying candidate #<alt (λ (x y z) (exp (log (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 17 / 28 ] simplifiying candidate #<alt (λ (x y z) (log (exp (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 18 / 28 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))) (cbrt (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 19 / 28 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 20 / 28 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 21 / 28 ] simplifiying candidate #<alt (λ (x y z) (* 1 (hypot (hypot x y) z)))>
2.949 * * * * [progress]: [ 22 / 28 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (hypot (hypot x y) z))))>
2.949 * * * * [progress]: [ 23 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot y z))>
2.949 * * * * [progress]: [ 24 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot x z))>
2.949 * * * * [progress]: [ 25 / 28 ] simplifiying candidate #<alt (λ (x y z) (hypot (* -1 x) z))>
2.949 * * * * [progress]: [ 26 / 28 ] simplifiying candidate #<alt (λ (x y z) z)>
2.949 * * * * [progress]: [ 27 / 28 ] simplifiying candidate #<alt (λ (x y z) x)>
2.949 * * * * [progress]: [ 28 / 28 ] simplifiying candidate #<alt (λ (x y z) (* -1 x))>
2.949 * [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))
  (real->posit16 (hypot x y))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (+ (* (hypot x y) (hypot x y)) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (real->posit16 (hypot (hypot x y) z))
  y
  x
  (* -1 x)
  z
  x
  (* -1 x)
2.950 * * [simplify]: iteration 0: 32 enodes
2.954 * * [simplify]: iteration 1: 40 enodes
2.960 * * [simplify]: iteration 2: 45 enodes
2.968 * * [simplify]: iteration 3: 52 enodes
2.984 * * [simplify]: iteration 4: 67 enodes
3.002 * * [simplify]: iteration 5: 105 enodes
3.020 * * [simplify]: iteration 6: 175 enodes
3.075 * * [simplify]: iteration 7: 340 enodes
3.183 * * [simplify]: iteration 8: 861 enodes
3.384 * * [simplify]: iteration complete: 2001 enodes
3.384 * * [simplify]: Extracting #0: cost 24 inf + 0
3.384 * * [simplify]: Extracting #1: cost 105 inf + 3
3.385 * * [simplify]: Extracting #2: cost 415 inf + 852
3.388 * * [simplify]: Extracting #3: cost 538 inf + 5529
3.395 * * [simplify]: Extracting #4: cost 464 inf + 88409
3.419 * * [simplify]: Extracting #5: cost 81 inf + 305193
3.447 * * [simplify]: Extracting #6: cost 0 inf + 344026
3.475 * [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))
  (* (hypot x y) (* (hypot x y) (hypot x y)))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (real->posit16 (hypot x y))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma (hypot x y) (hypot x y) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (hypot (hypot x y) z) (* (hypot (hypot x y) z) (hypot (hypot x y) z)))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (real->posit16 (hypot (hypot x y) z))
  y
  x
  (- x)
  z
  x
  (- x)
3.475 * * * [progress]: adding candidates to table
3.578 * [progress]: [Phase 3 of 3] Extracting.
3.578 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.578 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) z y x)
3.578 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.607 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.629 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.660 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.697 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.734 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (hypot (hypot x y) z))> #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>)
3.767 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
3.767 * [simplify]: Simplifying:
  (hypot (hypot x y) z)
3.767 * * [simplify]: iteration 0: 5 enodes
3.768 * * [simplify]: iteration complete: 5 enodes
3.768 * * [simplify]: Extracting #0: cost 1 inf + 0
3.768 * * [simplify]: Extracting #1: cost 3 inf + 0
3.768 * * [simplify]: Extracting #2: cost 4 inf + 1
3.768 * * [simplify]: Extracting #3: cost 2 inf + 3
3.768 * * [simplify]: Extracting #4: cost 0 inf + 173
3.768 * [simplify]: Simplified to:
  (hypot (hypot x y) z)
5.095 * [regime-testing]: Baseline error score: 0.00450056257032129
5.098 * [regime-testing]: Oracle error score: 0.004000500062507814
5.102 * [regime-testing]: End program error score: 0.00450056257032129
5.174 * [regime-testing]: Target error score: 24.065907269989108