22.739 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.028 * * * [progress]: [2/2] Setting up program.
0.042 * [progress]: [Phase 2 of 3] Improving.
0.042 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.042 * [simplify]: Simplifying:
  (sqrt (+ (* x x) (* y y)))
0.042 * * [simplify]: iteration 0: 6 enodes
0.049 * * [simplify]: iteration 1: 7 enodes
0.056 * * [simplify]: iteration complete: 7 enodes
0.056 * * [simplify]: Extracting #0: cost 1 inf + 0
0.056 * * [simplify]: Extracting #1: cost 2 inf + 0
0.056 * * [simplify]: Extracting #2: cost 4 inf + 0
0.056 * * [simplify]: Extracting #3: cost 6 inf + 0
0.056 * * [simplify]: Extracting #4: cost 3 inf + 43
0.057 * * [simplify]: Extracting #5: cost 0 inf + 368
0.057 * [simplify]: Simplified to:
  (sqrt (+ (* x x) (* y y)))
0.059 * * [progress]: iteration 1 / 4
0.059 * * * [progress]: picking best candidate
0.075 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>
0.075 * * * [progress]: localizing error
0.100 * * * [progress]: generating rewritten candidates
0.100 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.112 * * * [progress]: generating series expansions
0.112 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.112 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow y 2) (pow x 2)))
0.112 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in (x y) around 0
0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
0.112 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.112 * [taylor]: Taking taylor expansion of y in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 1 into 1
0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.112 * [taylor]: Taking taylor expansion of x in y
0.112 * [backup-simplify]: Simplify x into x
0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.113 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.113 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.113 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.114 * [taylor]: Taking taylor expansion of y in x
0.114 * [backup-simplify]: Simplify y into y
0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.114 * [taylor]: Taking taylor expansion of x in x
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.114 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.114 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.114 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in x
0.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.115 * [taylor]: Taking taylor expansion of y in x
0.115 * [backup-simplify]: Simplify y into y
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.115 * [taylor]: Taking taylor expansion of x in x
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.115 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.116 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.116 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.116 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.116 * [taylor]: Taking taylor expansion of y in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 1 into 1
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [taylor]: Taking taylor expansion of 0 in y
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.117 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (+ 0 1) into 1
0.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.119 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.119 * [taylor]: Taking taylor expansion of 1/2 in y
0.119 * [backup-simplify]: Simplify 1/2 into 1/2
0.119 * [taylor]: Taking taylor expansion of y in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify 1 into 1
0.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
0.134 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.135 * [taylor]: Taking taylor expansion of y in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (* 1 1) into 1
0.135 * [backup-simplify]: Simplify (/ 1 1) into 1
0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.136 * [taylor]: Taking taylor expansion of x in y
0.136 * [backup-simplify]: Simplify x into x
0.136 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.137 * [backup-simplify]: Simplify (+ 1 0) into 1
0.137 * [backup-simplify]: Simplify (sqrt 1) into 1
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.141 * [taylor]: Taking taylor expansion of x in x
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [backup-simplify]: Simplify (+ 0 1) into 1
0.142 * [backup-simplify]: Simplify (sqrt 1) into 1
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.145 * [taylor]: Taking taylor expansion of y in x
0.145 * [backup-simplify]: Simplify y into y
0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.146 * [taylor]: Taking taylor expansion of x in x
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify (* 1 1) into 1
0.147 * [backup-simplify]: Simplify (/ 1 1) into 1
0.147 * [backup-simplify]: Simplify (+ 0 1) into 1
0.147 * [backup-simplify]: Simplify (sqrt 1) into 1
0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.150 * [taylor]: Taking taylor expansion of 1 in y
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [taylor]: Taking taylor expansion of 0 in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.155 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.155 * [taylor]: Taking taylor expansion of 1/2 in y
0.155 * [backup-simplify]: Simplify 1/2 into 1/2
0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.155 * [taylor]: Taking taylor expansion of y in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (* 1 1) into 1
0.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.163 * [taylor]: Taking taylor expansion of 0 in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
0.166 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.167 * [taylor]: Taking taylor expansion of y in y
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.167 * [backup-simplify]: Simplify (* 1 1) into 1
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.167 * [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 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.169 * [backup-simplify]: Simplify (sqrt 1) into 1
0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.172 * [taylor]: Taking taylor expansion of y in x
0.172 * [backup-simplify]: Simplify y into y
0.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.173 * [taylor]: Taking taylor expansion of x in x
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (* 1 1) into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [backup-simplify]: Simplify (+ 0 1) into 1
0.174 * [backup-simplify]: Simplify (sqrt 1) into 1
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.177 * [taylor]: Taking taylor expansion of y in x
0.177 * [backup-simplify]: Simplify y into y
0.177 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.178 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.178 * [taylor]: Taking taylor expansion of x in x
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (* 1 1) into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [backup-simplify]: Simplify (+ 0 1) into 1
0.180 * [backup-simplify]: Simplify (sqrt 1) into 1
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.183 * [taylor]: Taking taylor expansion of 1 in y
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [taylor]: Taking taylor expansion of 0 in y
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
0.187 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
0.187 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
0.188 * [taylor]: Taking taylor expansion of 1/2 in y
0.188 * [backup-simplify]: Simplify 1/2 into 1/2
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.188 * [taylor]: Taking taylor expansion of y in y
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (* 1 1) into 1
0.189 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
0.196 * [taylor]: Taking taylor expansion of 0 in y
0.196 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
0.199 * * * [progress]: simplifying candidates
0.199 * * * * [progress]: [ 1 / 19 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (sqrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 2 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (+ (* x x) (* y y)) 1/2))>
0.199 * * * * [progress]: [ 3 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (sqrt (+ (* x x) (* y y))) 1))>
0.199 * * * * [progress]: [ 4 / 19 ] simplifiying candidate #<alt (λ (x y) (exp (log (sqrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 5 / 19 ] simplifiying candidate #<alt (λ (x y) (log (exp (sqrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 6 / 19 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 7 / 19 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 8 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 9 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.199 * * * * [progress]: [ 10 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt 1) (sqrt (+ (* x x) (* y y)))))>
0.199 * * * * [progress]: [ 11 / 19 ] simplifiying candidate #<alt (λ (x y) (/ (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))))>
0.199 * * * * [progress]: [ 12 / 19 ] simplifiying candidate #<alt (λ (x y) (/ (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y)))))>
0.200 * * * * [progress]: [ 13 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (+ (* x x) (* y y)) (/ 1 2)))>
0.200 * * * * [progress]: [ 14 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))))>
0.200 * * * * [progress]: [ 15 / 19 ] simplifiying candidate #<alt (λ (x y) (fabs (sqrt (+ (* x x) (* y y)))))>
0.200 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #<alt (λ (x y) (* 1 (sqrt (+ (* x x) (* y y)))))>
0.200 * * * * [progress]: [ 17 / 19 ] simplifiying candidate #<alt (λ (x y) y)>
0.200 * * * * [progress]: [ 18 / 19 ] simplifiying candidate #<alt (λ (x y) x)>
0.200 * * * * [progress]: [ 19 / 19 ] simplifiying candidate #<alt (λ (x y) (* -1 x))>
0.200 * [simplify]: Simplifying:
  (real->posit16 (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))))
  y
  x
  (* -1 x)
0.201 * * [simplify]: iteration 0: 39 enodes
0.226 * * [simplify]: iteration 1: 92 enodes
0.308 * * [simplify]: iteration 2: 196 enodes
0.473 * * [simplify]: iteration 3: 433 enodes
0.963 * * [simplify]: iteration 4: 991 enodes
2.380 * * [simplify]: iteration 5: 3240 enodes
5.903 * * [simplify]: iteration complete: 5000 enodes
5.903 * * [simplify]: Extracting #0: cost 19 inf + 0
5.903 * * [simplify]: Extracting #1: cost 43 inf + 45
5.904 * * [simplify]: Extracting #2: cost 188 inf + 49
5.909 * * [simplify]: Extracting #3: cost 827 inf + 6053
5.937 * * [simplify]: Extracting #4: cost 843 inf + 66933
6.016 * * [simplify]: Extracting #5: cost 437 inf + 174105
6.081 * * [simplify]: Extracting #6: cost 267 inf + 252891
6.151 * * [simplify]: Extracting #7: cost 87 inf + 352605
6.226 * * [simplify]: Extracting #8: cost 12 inf + 378395
6.337 * * [simplify]: Extracting #9: cost 0 inf + 381871
6.449 * [simplify]: Simplified to:
  (real->posit16 (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))) (+ (* x x) (* y y)))
  (fabs (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  1
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* (* y y) (* (* y y) (* y y))) (* (* x (* x x)) (* x (* x x)))))
  (sqrt (- (* (* y y) (* y y)) (* (- (* y y) (* x x)) (* x x))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (* (+ x y) (- x y)))
  1/2
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  y
  x
  (- x)
6.451 * * * [progress]: adding candidates to table
6.659 * * [progress]: iteration 2 / 4
6.660 * * * [progress]: picking best candidate
6.684 * * * * [pick]: Picked  #<alt (λ (x y) x)>
6.684 * * * [progress]: localizing error
6.686 * * * [progress]: generating rewritten candidates
6.686 * * * [progress]: generating series expansions
6.686 * * * [progress]: simplifying candidates
6.686 * [simplify]: Simplifying:
  
6.686 * * [simplify]: iteration 0: 0 enodes
6.686 * * [simplify]: iteration complete: 0 enodes
6.686 * * [simplify]: Extracting #0: cost 0 inf + 0
6.686 * [simplify]: Simplified to:
  
6.686 * * * [progress]: adding candidates to table
6.688 * * [progress]: iteration 3 / 4
6.688 * * * [progress]: picking best candidate
6.712 * * * * [pick]: Picked  #<alt (λ (x y) y)>
6.713 * * * [progress]: localizing error
6.716 * * * [progress]: generating rewritten candidates
6.716 * * * [progress]: generating series expansions
6.716 * * * [progress]: simplifying candidates
6.716 * [simplify]: Simplifying:
  
6.716 * * [simplify]: iteration 0: 0 enodes
6.716 * * [simplify]: iteration complete: 0 enodes
6.716 * * [simplify]: Extracting #0: cost 0 inf + 0
6.716 * [simplify]: Simplified to:
  
6.716 * * * [progress]: adding candidates to table
6.719 * * [progress]: iteration 4 / 4
6.719 * * * [progress]: picking best candidate
6.734 * * * * [pick]: Picked  #<alt (λ (x y) (- x))>
6.734 * * * [progress]: localizing error
6.742 * * * [progress]: generating rewritten candidates
6.743 * * * [progress]: generating series expansions
6.743 * * * [progress]: simplifying candidates
6.743 * [simplify]: Simplifying:
  
6.743 * * [simplify]: iteration 0: 0 enodes
6.743 * * [simplify]: iteration complete: 0 enodes
6.743 * * [simplify]: Extracting #0: cost 0 inf + 0
6.743 * [simplify]: Simplified to:
  
6.743 * * * [progress]: adding candidates to table
6.748 * [progress]: [Phase 3 of 3] Extracting.
6.748 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
6.750 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x)
6.750 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
6.868 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))>)
6.985 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.145 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.261 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.382 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.538 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.722 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.926 * * * [regime]: Found split indices: #<option (#s(si 1 28) #s(si 2 196) #s(si 0 255))>
7.927 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.998 * [regimes]: Found splitpoints: (#s(sp 1 x -2.6008532152452964e+111) #s(sp 2 x 2.9670775722691427e+83) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) x)> #<alt (λ (x y) (- x))> #<alt (λ (x y) (sqrt (+ (* x x) (* y y))))> #<alt (λ (x y) y)>)
7.998 * [simplify]: Simplifying:
  (if (<= x -2.6008532152452964e+111) (- x) (if (<= x 2.9670775722691427e+83) (sqrt (+ (* x x) (* y y))) x))
7.998 * * [simplify]: iteration 0: 13 enodes
8.000 * * [simplify]: iteration 1: 14 enodes
8.002 * * [simplify]: iteration complete: 14 enodes
8.002 * * [simplify]: Extracting #0: cost 1 inf + 0
8.002 * * [simplify]: Extracting #1: cost 4 inf + 0
8.002 * * [simplify]: Extracting #2: cost 8 inf + 0
8.007 * * [simplify]: Extracting #3: cost 8 inf + 2
8.007 * * [simplify]: Extracting #4: cost 6 inf + 178
8.007 * * [simplify]: Extracting #5: cost 6 inf + 219
8.007 * * [simplify]: Extracting #6: cost 5 inf + 220
8.007 * * [simplify]: Extracting #7: cost 3 inf + 383
8.007 * * [simplify]: Extracting #8: cost 1 inf + 838
8.007 * * [simplify]: Extracting #9: cost 0 inf + 1302
8.008 * [simplify]: Simplified to:
  (if (<= x -2.6008532152452964e+111) (- x) (if (<= x 2.9670775722691427e+83) (sqrt (+ (* y y) (* x x))) x))
10.612 * [regime-testing]: Baseline error score: 31.579414029714744
10.636 * [regime-testing]: Oracle error score: 7.7430769098705285
10.713 * [regime-testing]: End program error score: 17.695713654317775
11.073 * [regime-testing]: Target error score: 17.584549226679272