17.262 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.019 * * * [progress]: [2/2] Setting up program.
0.021 * [progress]: [Phase 2 of 3] Improving.
0.021 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.045 * * [progress]: iteration 1 / 4
0.046 * * * [progress]: picking best candidate
0.049 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.049 * * * [progress]: localizing error
0.097 * * * [progress]: generating rewritten candidates
0.097 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.116 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.133 * * * [progress]: generating series expansions
0.133 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.134 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y))
0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0
0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y
0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.134 * [taylor]: Taking taylor expansion of x in y
0.134 * [backup-simplify]: Simplify x into x
0.134 * [taylor]: Taking taylor expansion of y in y
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.134 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.134 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.134 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.135 * [backup-simplify]: Simplify (+ 0 1) into 1
0.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.136 * [taylor]: Taking taylor expansion of x in x
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [taylor]: Taking taylor expansion of y in x
0.136 * [backup-simplify]: Simplify y into y
0.136 * [backup-simplify]: Simplify (+ 0 y) into y
0.136 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.136 * [backup-simplify]: Simplify (+ 0 0) into 0
0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x
0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x
0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.137 * [taylor]: Taking taylor expansion of x in x
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.137 * [taylor]: Taking taylor expansion of y in x
0.137 * [backup-simplify]: Simplify y into y
0.137 * [backup-simplify]: Simplify (+ 0 y) into y
0.137 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.137 * [backup-simplify]: Simplify (+ 0 0) into 0
0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.137 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.137 * [taylor]: Taking taylor expansion of y in y
0.137 * [backup-simplify]: Simplify 0 into 0
0.137 * [backup-simplify]: Simplify 1 into 1
0.138 * [backup-simplify]: Simplify (sqrt 0) into 0
0.140 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [taylor]: Taking taylor expansion of 0 in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.140 * [backup-simplify]: Simplify (* 1 1) into 1
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.141 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.141 * [taylor]: Taking taylor expansion of 1/2 in y
0.141 * [backup-simplify]: Simplify 1/2 into 1/2
0.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.142 * [taylor]: Taking taylor expansion of y in y
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (/ 1 1) into 1
0.142 * [backup-simplify]: Simplify (sqrt 0) into 0
0.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.144 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.144 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.144 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.146 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.147 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
0.147 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y)))
0.147 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y
0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.147 * [taylor]: Taking taylor expansion of x in y
0.147 * [backup-simplify]: Simplify x into x
0.147 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.147 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.147 * [taylor]: Taking taylor expansion of y in y
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (/ 1 1) into 1
0.148 * [backup-simplify]: Simplify (+ 0 1) into 1
0.148 * [backup-simplify]: Simplify (sqrt 0) into 0
0.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.149 * [taylor]: Taking taylor expansion of x in x
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.150 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.150 * [taylor]: Taking taylor expansion of y in x
0.150 * [backup-simplify]: Simplify y into y
0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.150 * [backup-simplify]: Simplify (+ 1 0) into 1
0.150 * [backup-simplify]: Simplify (sqrt 1) into 1
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x
0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x
0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.152 * [taylor]: Taking taylor expansion of x in x
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (* 1 1) into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.152 * [taylor]: Taking taylor expansion of y in x
0.152 * [backup-simplify]: Simplify y into y
0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (sqrt 1) into 1
0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ 0 0) into 0
0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.155 * [taylor]: Taking taylor expansion of 1 in y
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.156 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.156 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.157 * [taylor]: Taking taylor expansion of 1/2 in y
0.157 * [backup-simplify]: Simplify 1/2 into 1/2
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.157 * [backup-simplify]: Simplify 1/2 into 1/2
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.162 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.162 * [taylor]: Taking taylor expansion of -1/8 in y
0.162 * [backup-simplify]: Simplify -1/8 into -1/8
0.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.162 * [taylor]: Taking taylor expansion of y in y
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.164 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y)))
0.164 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0
0.164 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y
0.164 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.164 * [taylor]: Taking taylor expansion of x in y
0.164 * [backup-simplify]: Simplify x into x
0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.164 * [taylor]: Taking taylor expansion of y in y
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.164 * [backup-simplify]: Simplify (- 1) into -1
0.165 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.165 * [backup-simplify]: Simplify (sqrt 0) into 0
0.166 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.166 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.166 * [taylor]: Taking taylor expansion of x in x
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (/ 1 1) into 1
0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.166 * [taylor]: Taking taylor expansion of y in x
0.167 * [backup-simplify]: Simplify y into y
0.167 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.167 * [backup-simplify]: Simplify (+ 1 0) into 1
0.167 * [backup-simplify]: Simplify (sqrt 1) into 1
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.169 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x
0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.170 * [taylor]: Taking taylor expansion of y in x
0.170 * [backup-simplify]: Simplify y into y
0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.170 * [backup-simplify]: Simplify (+ 1 0) into 1
0.170 * [backup-simplify]: Simplify (sqrt 1) into 1
0.171 * [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 1 in y
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [taylor]: Taking taylor expansion of 0 in y
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.173 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.174 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.174 * [taylor]: Taking taylor expansion of (/ -1/2 y) 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 y in y
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.175 * [backup-simplify]: Simplify -1/2 into -1/2
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.178 * [backup-simplify]: Simplify (- 0) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.179 * [taylor]: Taking taylor expansion of 0 in y
0.179 * [backup-simplify]: Simplify 0 into 0
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
0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.183 * [backup-simplify]: Simplify (- 0) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.184 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.184 * [taylor]: Taking taylor expansion of -1/8 in y
0.185 * [backup-simplify]: Simplify -1/8 into -1/8
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 (/ -1/8 1) into -1/8
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.188 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y)
0.188 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0
0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y
0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.188 * [taylor]: Taking taylor expansion of x in y
0.188 * [backup-simplify]: Simplify x into x
0.188 * [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 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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
0.188 * [taylor]: Taking taylor expansion of y in x
0.188 * [backup-simplify]: Simplify y into y
0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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
0.188 * [taylor]: Taking taylor expansion of y in x
0.188 * [backup-simplify]: Simplify y into y
0.189 * [backup-simplify]: Simplify (+ 0 y) into y
0.189 * [taylor]: Taking taylor expansion of y in y
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [taylor]: Taking taylor expansion of 0 in y
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (* 1 1) into 1
0.190 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [taylor]: Taking taylor expansion of 1 in y
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in y
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y)
0.191 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y))
0.191 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.191 * [taylor]: Taking taylor expansion of x in y
0.191 * [backup-simplify]: Simplify x into x
0.191 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.191 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.191 * [taylor]: Taking taylor expansion of y in y
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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
0.192 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y)
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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
0.193 * [backup-simplify]: Simplify (* 1 1) into 1
0.193 * [backup-simplify]: Simplify (/ 1 1) into 1
0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.193 * [taylor]: Taking taylor expansion of y in x
0.193 * [backup-simplify]: Simplify y into y
0.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.193 * [backup-simplify]: Simplify (+ 1 0) into 1
0.193 * [taylor]: Taking taylor expansion of 1 in y
0.193 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [taylor]: Taking taylor expansion of 0 in y
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.195 * [taylor]: Taking taylor expansion of y in y
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.198 * [backup-simplify]: Simplify (+ 0 0) into 0
0.198 * [taylor]: Taking taylor expansion of 0 in y
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.200 * [taylor]: Taking taylor expansion of 0 in y
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y)
0.200 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y))
0.200 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0
0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.200 * [taylor]: Taking taylor expansion of x in y
0.200 * [backup-simplify]: Simplify x into x
0.200 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.200 * [taylor]: Taking taylor expansion of y in y
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.201 * [taylor]: Taking taylor expansion of x in x
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (* 1 1) into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.201 * [taylor]: Taking taylor expansion of y in x
0.201 * [backup-simplify]: Simplify y into y
0.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.201 * [taylor]: Taking taylor expansion of x in x
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* 1 1) into 1
0.202 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.202 * [taylor]: Taking taylor expansion of y in x
0.202 * [backup-simplify]: Simplify y into y
0.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.207 * [backup-simplify]: Simplify (+ 1 0) into 1
0.207 * [taylor]: Taking taylor expansion of 1 in y
0.207 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 0) into 0
0.208 * [taylor]: Taking taylor expansion of 0 in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
0.210 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
0.210 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.210 * [taylor]: Taking taylor expansion of y in y
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (- 1) into -1
0.210 * [backup-simplify]: Simplify -1 into -1
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.212 * [backup-simplify]: Simplify (- 0) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [taylor]: Taking taylor expansion of 0 in y
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (- 0) into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.214 * [backup-simplify]: Simplify (- 0) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [taylor]: Taking taylor expansion of 0 in y
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y)
0.215 * * * [progress]: simplifying candidates
0.215 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) y)))
  (exp (sqrt (+ (* x x) y)))
  (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))
  (cbrt (sqrt (+ (* x x) y)))
  (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))
  (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))
  (sqrt (cbrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt 1)
  (sqrt (+ (* x x) y))
  (sqrt (+ (pow (* x x) 3) (pow y 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))
  (sqrt (- (* (* x x) (* x x)) (* y y)))
  (sqrt (- (* x x) y))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) y)))
  (sqrt (sqrt (+ (* x x) y)))
  (* (exp (* x x)) (exp y))
  (log (+ (* x x) y))
  (exp (+ (* x x) y))
  (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))
  (cbrt (+ (* x x) y))
  (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (sqrt (+ (* x x) y))
  (+ (pow (* x x) 3) (pow y 3))
  (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))
  (- (* (* x x) (* x x)) (* y y))
  (- (* x x) y)
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
  (+ (pow x 2) y)
  (+ (pow x 2) y)
  (+ (pow x 2) y)
0.859 * * * [progress]: adding candidates to table
0.974 * * [progress]: iteration 2 / 4
0.974 * * * [progress]: picking best candidate
0.979 * * * * [pick]: Picked  #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.979 * * * [progress]: localizing error
0.991 * * * [progress]: generating rewritten candidates
0.991 * * * [progress]: generating series expansions
0.991 * * * [progress]: simplifying candidates
0.991 * [simplify]: Simplifying:
  
1.009 * * * [progress]: adding candidates to table
1.010 * * [progress]: iteration 3 / 4
1.010 * * * [progress]: picking best candidate
1.012 * * * * [pick]: Picked  #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
1.013 * * * [progress]: localizing error
1.019 * * * [progress]: generating rewritten candidates
1.019 * * * [progress]: generating series expansions
1.019 * * * [progress]: simplifying candidates
1.019 * [simplify]: Simplifying:
  
1.030 * * * [progress]: adding candidates to table
1.031 * [progress]: [Phase 3 of 3] Extracting.
1.031 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.031 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x)
1.031 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.066 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.098 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.121 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.170 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.200 * * * [regime]: Found split indices: #<option (#s(si 2 50) #s(si 1 185) #s(si 0 255))>
1.201 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.265 * [regimes]: Found splitpoints: (#s(sp 2 x -1.1734014992597931e+154) #s(sp 1 x 3.0282449077190247e+74) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (+ x (* 1/2 (/ y x))))> #<alt (λ (x y) (sqrt (+ (* x x) y)))> #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>)
1.265 * [simplify]: Simplifying:
  (if (<= x -1.1734014992597931e+154) (- (+ x (* 1/2 (/ y x)))) (if (<= x 3.0282449077190247e+74) (sqrt (+ (* x x) y)) (+ x (* 1/2 (/ y x)))))
2.471 * [regime-testing]: Baseline error score: 22.00737592199025
2.473 * [regime-testing]: Oracle error score: 0.0032504063007875983
2.478 * [regime-testing]: End program error score: 0.3669760402456758
2.524 * [regime-testing]: Target error score: 0.5712196800160649