26.131 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.039 * * * [progress]: [2/2] Setting up program.
0.046 * [progress]: [Phase 2 of 3] Improving.
0.046 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.046 * * [simplify]: iteration 0: 5 enodes
0.048 * * [simplify]: iteration 1: 7 enodes
0.050 * * [simplify]: iteration complete: 7 enodes
0.050 * * [simplify]: Extracting #0: cost 1 inf + 0
0.050 * * [simplify]: Extracting #1: cost 2 inf + 0
0.050 * * [simplify]: Extracting #2: cost 5 inf + 0
0.050 * * [simplify]: Extracting #3: cost 3 inf + 2
0.050 * * [simplify]: Extracting #4: cost 0 inf + 14
0.050 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.059 * * [progress]: iteration 1 / 4
0.059 * * * [progress]: picking best candidate
0.067 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.067 * * * [progress]: localizing error
0.080 * * * [progress]: generating rewritten candidates
0.080 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.083 * * * [progress]: generating series expansions
0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.083 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y))
0.083 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.083 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.083 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.083 * [taylor]: Rewrote expression to (+ (* x x) y)
0.083 * [taylor]: Taking taylor expansion of (* x x) in y
0.084 * [taylor]: Taking taylor expansion of x in y
0.084 * [backup-simplify]: Simplify x into x
0.084 * [taylor]: Taking taylor expansion of x in y
0.084 * [backup-simplify]: Simplify x into x
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.084 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.084 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.084 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.085 * [backup-simplify]: Simplify (+ 0 1) into 1
0.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.085 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.085 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.085 * [taylor]: Rewrote expression to (+ (* x x) y)
0.085 * [taylor]: Taking taylor expansion of (* x x) in x
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [taylor]: Taking taylor expansion of x in x
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [taylor]: Taking taylor expansion of y in x
0.085 * [backup-simplify]: Simplify y into y
0.086 * [backup-simplify]: Simplify (* 0 0) into 0
0.086 * [backup-simplify]: Simplify (+ 0 y) into y
0.086 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.087 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.087 * [taylor]: Rewrote expression to (+ (* x x) y)
0.087 * [taylor]: Taking taylor expansion of (* x x) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.088 * [backup-simplify]: Simplify (* 0 0) into 0
0.088 * [backup-simplify]: Simplify (+ 0 y) into y
0.088 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.089 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (sqrt 0) into 0
0.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [taylor]: Taking taylor expansion of 0 in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.093 * [backup-simplify]: Simplify (+ 1 0) into 1
0.093 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.093 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.093 * [taylor]: Taking taylor expansion of 1/2 in y
0.093 * [backup-simplify]: Simplify 1/2 into 1/2
0.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.093 * [taylor]: Taking taylor expansion of y in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [backup-simplify]: Simplify (sqrt 0) into 0
0.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.097 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.097 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.097 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.100 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.101 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
0.101 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y)))
0.101 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.102 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.102 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.102 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.102 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.102 * [taylor]: Taking taylor expansion of x in y
0.102 * [backup-simplify]: Simplify x into x
0.102 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.102 * [taylor]: Taking taylor expansion of x in y
0.102 * [backup-simplify]: Simplify x into x
0.102 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.102 * [taylor]: Taking taylor expansion of y in y
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.103 * [backup-simplify]: Simplify (+ 0 1) into 1
0.103 * [backup-simplify]: Simplify (sqrt 0) into 0
0.105 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.105 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.105 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.105 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.105 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.105 * [taylor]: Taking taylor expansion of x in x
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.105 * [taylor]: Taking taylor expansion of x in x
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.106 * [taylor]: Taking taylor expansion of y in x
0.106 * [backup-simplify]: Simplify y into y
0.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.106 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ 1 0) into 1
0.107 * [backup-simplify]: Simplify (sqrt 1) into 1
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.110 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.110 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.110 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.111 * [taylor]: Taking taylor expansion of x in x
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.111 * [taylor]: Taking taylor expansion of x in x
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.112 * [taylor]: Taking taylor expansion of y in x
0.112 * [backup-simplify]: Simplify y into y
0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (+ 1 0) into 1
0.113 * [backup-simplify]: Simplify (sqrt 1) into 1
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.115 * [backup-simplify]: Simplify (+ 0 0) into 0
0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.116 * [taylor]: Taking taylor expansion of 1 in y
0.117 * [backup-simplify]: Simplify 1 into 1
0.117 * [taylor]: Taking taylor expansion of 0 in y
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.121 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.121 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.121 * [taylor]: Taking taylor expansion of 1/2 in y
0.121 * [backup-simplify]: Simplify 1/2 into 1/2
0.121 * [taylor]: Taking taylor expansion of y in y
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.121 * [backup-simplify]: Simplify 1/2 into 1/2
0.121 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.126 * [taylor]: Taking taylor expansion of 0 in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.132 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.132 * [taylor]: Taking taylor expansion of -1/8 in y
0.132 * [backup-simplify]: Simplify -1/8 into -1/8
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.132 * [taylor]: Taking taylor expansion of y in y
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.135 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y)))
0.135 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.135 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.135 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.136 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.136 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.136 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.136 * [taylor]: Taking taylor expansion of -1 in y
0.136 * [backup-simplify]: Simplify -1 into -1
0.136 * [taylor]: Taking taylor expansion of x in y
0.136 * [backup-simplify]: Simplify x into x
0.136 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.136 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.136 * [taylor]: Taking taylor expansion of -1 in y
0.136 * [backup-simplify]: Simplify -1 into -1
0.136 * [taylor]: Taking taylor expansion of x in y
0.136 * [backup-simplify]: Simplify x into x
0.136 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.136 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.136 * [taylor]: Taking taylor expansion of -1 in y
0.136 * [backup-simplify]: Simplify -1 into -1
0.136 * [taylor]: Taking taylor expansion of y in y
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (/ -1 1) into -1
0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.138 * [backup-simplify]: Simplify (sqrt 0) into 0
0.139 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.139 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.139 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.139 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.139 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.139 * [taylor]: Taking taylor expansion of -1 in x
0.139 * [backup-simplify]: Simplify -1 into -1
0.139 * [taylor]: Taking taylor expansion of x in x
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ -1 1) into -1
0.140 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.140 * [taylor]: Taking taylor expansion of -1 in x
0.140 * [backup-simplify]: Simplify -1 into -1
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ -1 1) into -1
0.140 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.140 * [taylor]: Taking taylor expansion of -1 in x
0.141 * [backup-simplify]: Simplify -1 into -1
0.141 * [taylor]: Taking taylor expansion of y in x
0.141 * [backup-simplify]: Simplify y into y
0.141 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.141 * [backup-simplify]: Simplify (* -1 -1) into 1
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.142 * [backup-simplify]: Simplify (sqrt 1) into 1
0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.145 * [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 (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.145 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.146 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.146 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.146 * [taylor]: Taking taylor expansion of -1 in x
0.146 * [backup-simplify]: Simplify -1 into -1
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
0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.146 * [taylor]: Taking taylor expansion of -1 in x
0.146 * [backup-simplify]: Simplify -1 into -1
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
0.147 * [backup-simplify]: Simplify (/ -1 1) into -1
0.147 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.147 * [taylor]: Taking taylor expansion of -1 in x
0.147 * [backup-simplify]: Simplify -1 into -1
0.147 * [taylor]: Taking taylor expansion of y in x
0.147 * [backup-simplify]: Simplify y into y
0.147 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.147 * [backup-simplify]: Simplify (* -1 -1) into 1
0.148 * [backup-simplify]: Simplify (+ 1 0) into 1
0.148 * [backup-simplify]: Simplify (sqrt 1) into 1
0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 1 in y
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [taylor]: Taking taylor expansion of 0 in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.155 * [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
0.156 * [taylor]: Taking taylor expansion of -1/2 in y
0.156 * [backup-simplify]: Simplify -1/2 into -1/2
0.156 * [taylor]: Taking taylor expansion of y in y
0.156 * [backup-simplify]: Simplify 0 into 0
0.156 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.160 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.160 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.165 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.174 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.174 * [taylor]: Taking taylor expansion of -1/8 in y
0.174 * [backup-simplify]: Simplify -1/8 into -1/8
0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.174 * [taylor]: Taking taylor expansion of y in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.178 * * * [progress]: simplifying candidates
0.178 * [simplify]: Simplifying:
  (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y)))
  (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y))))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt 1)
  (sqrt (fma x x y))
  (/ 1 2)
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y))))))
  (+ x (* 1/2 (/ y x)))
  (- (+ x (* 1/2 (/ y x))))
0.179 * * [simplify]: iteration 0: 37 enodes
0.192 * * [simplify]: iteration 1: 76 enodes
0.221 * * [simplify]: iteration 2: 208 enodes
0.325 * * [simplify]: iteration 3: 901 enodes
0.848 * * [simplify]: iteration complete: 5000 enodes
0.848 * * [simplify]: Extracting #0: cost 16 inf + 0
0.849 * * [simplify]: Extracting #1: cost 314 inf + 2
0.857 * * [simplify]: Extracting #2: cost 1547 inf + 138
0.866 * * [simplify]: Extracting #3: cost 739 inf + 4276
0.877 * * [simplify]: Extracting #4: cost 26 inf + 9527
0.886 * * [simplify]: Extracting #5: cost 0 inf + 9767
0.895 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x y)))
  (log1p (sqrt (fma x x y)))
  (log (sqrt (fma x x y)))
  (exp (sqrt (fma x x y)))
  (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y))))
  (cbrt (sqrt (fma x x y)))
  (pow (sqrt (fma x x y)) 3)
  (fabs (cbrt (fma x x y)))
  (sqrt (cbrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  1
  (sqrt (fma x x y))
  1/2
  (sqrt (sqrt (fma x x y)))
  (sqrt (sqrt (fma x x y)))
  (* +nan.0 (- (fma x x (- y)) (* y y)))
  (fma (/ y x) 1/2 x)
  (- (fma (/ 1/2 x) y x))
0.895 * * * [progress]: adding candidates to table
0.984 * * [progress]: iteration 2 / 4
0.984 * * * [progress]: picking best candidate
0.991 * * * * [pick]: Picked  #<alt (λ (x y) (- (fma (/ 1/2 x) y x)))>
0.991 * * * [progress]: localizing error
1.001 * * * [progress]: generating rewritten candidates
1.001 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
1.002 * * * [progress]: generating series expansions
1.002 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
1.002 * [backup-simplify]: Simplify (fma (/ 1/2 x) y x) into (fma (/ 1/2 x) y x)
1.002 * [approximate]: Taking taylor expansion of (fma (/ 1/2 x) y x) in (x y) around 0
1.002 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in y
1.002 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
1.002 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in y
1.002 * [taylor]: Taking taylor expansion of (/ 1/2 x) in y
1.002 * [taylor]: Taking taylor expansion of 1/2 in y
1.002 * [backup-simplify]: Simplify 1/2 into 1/2
1.002 * [taylor]: Taking taylor expansion of x in y
1.002 * [backup-simplify]: Simplify x into x
1.002 * [backup-simplify]: Simplify (/ 1/2 x) into (/ 1/2 x)
1.003 * [taylor]: Taking taylor expansion of y in y
1.003 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify 1 into 1
1.003 * [taylor]: Taking taylor expansion of x in y
1.003 * [backup-simplify]: Simplify x into x
1.003 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x
1.003 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
1.003 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x
1.003 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
1.003 * [taylor]: Taking taylor expansion of 1/2 in x
1.003 * [backup-simplify]: Simplify 1/2 into 1/2
1.003 * [taylor]: Taking taylor expansion of x in x
1.003 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify 1 into 1
1.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.003 * [taylor]: Taking taylor expansion of y in x
1.003 * [backup-simplify]: Simplify y into y
1.003 * [taylor]: Taking taylor expansion of x in x
1.003 * [backup-simplify]: Simplify 0 into 0
1.003 * [backup-simplify]: Simplify 1 into 1
1.003 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x
1.004 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x)
1.004 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x
1.004 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
1.004 * [taylor]: Taking taylor expansion of 1/2 in x
1.004 * [backup-simplify]: Simplify 1/2 into 1/2
1.004 * [taylor]: Taking taylor expansion of x in x
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 1 into 1
1.004 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.004 * [taylor]: Taking taylor expansion of y in x
1.004 * [backup-simplify]: Simplify y into y
1.004 * [taylor]: Taking taylor expansion of x in x
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 1 into 1
1.004 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y)
1.004 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y)
1.004 * [taylor]: Taking taylor expansion of (* 1/2 y) in y
1.004 * [taylor]: Taking taylor expansion of 1/2 in y
1.004 * [backup-simplify]: Simplify 1/2 into 1/2
1.004 * [taylor]: Taking taylor expansion of y in y
1.004 * [backup-simplify]: Simplify 0 into 0
1.004 * [backup-simplify]: Simplify 1 into 1
1.005 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.005 * [backup-simplify]: Simplify 0 into 0
1.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0
1.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1.006 * [taylor]: Taking taylor expansion of 0 in y
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify 0 into 0
1.006 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.006 * [backup-simplify]: Simplify 1/2 into 1/2
1.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0
1.008 * [backup-simplify]: Simplify (+ 0 1) into 1
1.008 * [taylor]: Taking taylor expansion of 1 in y
1.008 * [backup-simplify]: Simplify 1 into 1
1.008 * [backup-simplify]: Simplify 1 into 1
1.008 * [backup-simplify]: Simplify 0 into 0
1.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.009 * [backup-simplify]: Simplify 0 into 0
1.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
1.010 * [backup-simplify]: Simplify (+ 0 0) into 0
1.010 * [taylor]: Taking taylor expansion of 0 in y
1.010 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify 0 into 0
1.010 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.011 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x)))
1.011 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 x)) (/ 1 y) (/ 1 x)) into (fma (* 1/2 x) (/ 1 y) (/ 1 x))
1.011 * [approximate]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in (x y) around 0
1.011 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in y
1.011 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
1.011 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in y
1.011 * [taylor]: Taking taylor expansion of (* 1/2 x) in y
1.011 * [taylor]: Taking taylor expansion of 1/2 in y
1.011 * [backup-simplify]: Simplify 1/2 into 1/2
1.011 * [taylor]: Taking taylor expansion of x in y
1.011 * [backup-simplify]: Simplify x into x
1.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.011 * [taylor]: Taking taylor expansion of y in y
1.011 * [backup-simplify]: Simplify 0 into 0
1.011 * [backup-simplify]: Simplify 1 into 1
1.012 * [backup-simplify]: Simplify (/ 1 1) into 1
1.012 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.012 * [taylor]: Taking taylor expansion of x in y
1.012 * [backup-simplify]: Simplify x into x
1.012 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.012 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x
1.012 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
1.012 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x
1.012 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
1.012 * [taylor]: Taking taylor expansion of 1/2 in x
1.012 * [backup-simplify]: Simplify 1/2 into 1/2
1.012 * [taylor]: Taking taylor expansion of x in x
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 1 into 1
1.012 * [taylor]: Taking taylor expansion of (/ 1 y) in x
1.012 * [taylor]: Taking taylor expansion of y in x
1.012 * [backup-simplify]: Simplify y into y
1.012 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.012 * [taylor]: Taking taylor expansion of x in x
1.012 * [backup-simplify]: Simplify 0 into 0
1.012 * [backup-simplify]: Simplify 1 into 1
1.012 * [backup-simplify]: Simplify (/ 1 1) into 1
1.012 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x
1.013 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x))
1.013 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x
1.013 * [taylor]: Taking taylor expansion of (* 1/2 x) in x
1.013 * [taylor]: Taking taylor expansion of 1/2 in x
1.013 * [backup-simplify]: Simplify 1/2 into 1/2
1.013 * [taylor]: Taking taylor expansion of x in x
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify 1 into 1
1.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x
1.013 * [taylor]: Taking taylor expansion of y in x
1.013 * [backup-simplify]: Simplify y into y
1.013 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.013 * [taylor]: Taking taylor expansion of x in x
1.013 * [backup-simplify]: Simplify 0 into 0
1.013 * [backup-simplify]: Simplify 1 into 1
1.013 * [backup-simplify]: Simplify (/ 1 1) into 1
1.013 * [backup-simplify]: Simplify (+ 0 1) into 1
1.013 * [taylor]: Taking taylor expansion of 1 in y
1.013 * [backup-simplify]: Simplify 1 into 1
1.014 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.014 * [backup-simplify]: Simplify (* 0 (/ 1 y)) into 0
1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.014 * [backup-simplify]: Simplify (+ 0 0) into 0
1.014 * [taylor]: Taking taylor expansion of 0 in y
1.014 * [backup-simplify]: Simplify 0 into 0
1.014 * [backup-simplify]: Simplify 1 into 1
1.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
1.015 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (/ 1 y))) into (* 1/2 (/ 1 y))
1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.016 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y))
1.016 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.016 * [taylor]: Taking taylor expansion of 1/2 in y
1.016 * [backup-simplify]: Simplify 1/2 into 1/2
1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.016 * [taylor]: Taking taylor expansion of y in y
1.016 * [backup-simplify]: Simplify 0 into 0
1.016 * [backup-simplify]: Simplify 1 into 1
1.016 * [backup-simplify]: Simplify (/ 1 1) into 1
1.016 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.017 * [backup-simplify]: Simplify 1/2 into 1/2
1.017 * [backup-simplify]: Simplify 0 into 0
1.017 * [backup-simplify]: Simplify 0 into 0
1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (/ 1 y)))) into 0
1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.019 * [backup-simplify]: Simplify (+ 0 0) into 0
1.019 * [taylor]: Taking taylor expansion of 0 in y
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify 0 into 0
1.019 * [backup-simplify]: Simplify 0 into 0
1.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.022 * [backup-simplify]: Simplify (+ 0 0) into 0
1.022 * [taylor]: Taking taylor expansion of 0 in y
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify 0 into 0
1.022 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
1.022 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 (- x))) (/ 1 (- y)) (/ 1 (- x))) into (fma (* -1/2 x) (/ -1 y) (/ -1 x))
1.022 * [approximate]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in (x y) around 0
1.022 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in y
1.022 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
1.022 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in y
1.022 * [taylor]: Taking taylor expansion of (* -1/2 x) in y
1.022 * [taylor]: Taking taylor expansion of -1/2 in y
1.022 * [backup-simplify]: Simplify -1/2 into -1/2
1.022 * [taylor]: Taking taylor expansion of x in y
1.022 * [backup-simplify]: Simplify x into x
1.022 * [taylor]: Taking taylor expansion of (/ -1 y) in y
1.022 * [taylor]: Taking taylor expansion of -1 in y
1.022 * [backup-simplify]: Simplify -1 into -1
1.023 * [taylor]: Taking taylor expansion of y in y
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [backup-simplify]: Simplify (/ -1 1) into -1
1.023 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.023 * [taylor]: Taking taylor expansion of -1 in y
1.023 * [backup-simplify]: Simplify -1 into -1
1.023 * [taylor]: Taking taylor expansion of x in y
1.023 * [backup-simplify]: Simplify x into x
1.023 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.023 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x
1.023 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
1.023 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x
1.023 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
1.023 * [taylor]: Taking taylor expansion of -1/2 in x
1.023 * [backup-simplify]: Simplify -1/2 into -1/2
1.023 * [taylor]: Taking taylor expansion of x in x
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.023 * [taylor]: Taking taylor expansion of (/ -1 y) in x
1.023 * [taylor]: Taking taylor expansion of -1 in x
1.023 * [backup-simplify]: Simplify -1 into -1
1.023 * [taylor]: Taking taylor expansion of y in x
1.023 * [backup-simplify]: Simplify y into y
1.023 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
1.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.023 * [taylor]: Taking taylor expansion of -1 in x
1.023 * [backup-simplify]: Simplify -1 into -1
1.023 * [taylor]: Taking taylor expansion of x in x
1.023 * [backup-simplify]: Simplify 0 into 0
1.023 * [backup-simplify]: Simplify 1 into 1
1.024 * [backup-simplify]: Simplify (/ -1 1) into -1
1.024 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x
1.024 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x))
1.024 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x
1.024 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
1.024 * [taylor]: Taking taylor expansion of -1/2 in x
1.024 * [backup-simplify]: Simplify -1/2 into -1/2
1.024 * [taylor]: Taking taylor expansion of x in x
1.024 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify 1 into 1
1.024 * [taylor]: Taking taylor expansion of (/ -1 y) in x
1.024 * [taylor]: Taking taylor expansion of -1 in x
1.024 * [backup-simplify]: Simplify -1 into -1
1.024 * [taylor]: Taking taylor expansion of y in x
1.024 * [backup-simplify]: Simplify y into y
1.024 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
1.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.024 * [taylor]: Taking taylor expansion of -1 in x
1.024 * [backup-simplify]: Simplify -1 into -1
1.024 * [taylor]: Taking taylor expansion of x in x
1.024 * [backup-simplify]: Simplify 0 into 0
1.024 * [backup-simplify]: Simplify 1 into 1
1.024 * [backup-simplify]: Simplify (/ -1 1) into -1
1.025 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.025 * [taylor]: Taking taylor expansion of -1 in y
1.025 * [backup-simplify]: Simplify -1 into -1
1.025 * [backup-simplify]: Simplify (* -1/2 0) into 0
1.025 * [backup-simplify]: Simplify (* 0 (/ -1 y)) into 0
1.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.026 * [backup-simplify]: Simplify (+ 0 0) into 0
1.026 * [taylor]: Taking taylor expansion of 0 in y
1.026 * [backup-simplify]: Simplify 0 into 0
1.026 * [backup-simplify]: Simplify -1 into -1
1.026 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
1.026 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
1.027 * [backup-simplify]: Simplify (+ (* 0 0) (* -1/2 (/ -1 y))) into (* 1/2 (/ 1 y))
1.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.027 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y))
1.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y
1.027 * [taylor]: Taking taylor expansion of 1/2 in y
1.027 * [backup-simplify]: Simplify 1/2 into 1/2
1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y
1.027 * [taylor]: Taking taylor expansion of y in y
1.027 * [backup-simplify]: Simplify 0 into 0
1.027 * [backup-simplify]: Simplify 1 into 1
1.028 * [backup-simplify]: Simplify (/ 1 1) into 1
1.028 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.028 * [backup-simplify]: Simplify 1/2 into 1/2
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify 0 into 0
1.028 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.029 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (/ -1 y)))) into 0
1.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.030 * [backup-simplify]: Simplify (+ 0 0) into 0
1.030 * [taylor]: Taking taylor expansion of 0 in y
1.030 * [backup-simplify]: Simplify 0 into 0
1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.031 * [backup-simplify]: Simplify 0 into 0
1.031 * [backup-simplify]: Simplify 0 into 0
1.031 * [backup-simplify]: Simplify 0 into 0
1.032 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
1.032 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0
1.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.034 * [backup-simplify]: Simplify (+ 0 0) into 0
1.034 * [taylor]: Taking taylor expansion of 0 in y
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify 0 into 0
1.034 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x)))
1.034 * * * [progress]: simplifying candidates
1.035 * [simplify]: Simplifying:
  (expm1 (fma (/ 1/2 x) y x))
  (log1p (fma (/ 1/2 x) y x))
  (* (/ 1/2 x) y)
  (log (fma (/ 1/2 x) y x))
  (exp (fma (/ 1/2 x) y x))
  (* (cbrt (fma (/ 1/2 x) y x)) (cbrt (fma (/ 1/2 x) y x)))
  (cbrt (fma (/ 1/2 x) y x))
  (* (* (fma (/ 1/2 x) y x) (fma (/ 1/2 x) y x)) (fma (/ 1/2 x) y x))
  (sqrt (fma (/ 1/2 x) y x))
  (sqrt (fma (/ 1/2 x) y x))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
  (+ x (* 1/2 (/ y x)))
1.035 * * [simplify]: iteration 0: 18 enodes
1.037 * * [simplify]: iteration 1: 24 enodes
1.041 * * [simplify]: iteration 2: 59 enodes
1.057 * * [simplify]: iteration 3: 210 enodes
1.249 * * [simplify]: iteration 4: 948 enodes
3.133 * * [simplify]: iteration complete: 5000 enodes
3.133 * * [simplify]: Extracting #0: cost 10 inf + 0
3.134 * * [simplify]: Extracting #1: cost 133 inf + 0
3.139 * * [simplify]: Extracting #2: cost 1025 inf + 99
3.146 * * [simplify]: Extracting #3: cost 651 inf + 6901
3.152 * * [simplify]: Extracting #4: cost 48 inf + 18022
3.158 * * [simplify]: Extracting #5: cost 0 inf + 18804
3.163 * [simplify]: Simplified to:
  (expm1 (fma y (/ 1/2 x) x))
  (log1p (fma y (/ 1/2 x) x))
  (* (/ 1/2 x) y)
  (log (fma y (/ 1/2 x) x))
  (exp (fma y (/ 1/2 x) x))
  (* (cbrt (fma y (/ 1/2 x) x)) (cbrt (fma y (/ 1/2 x) x)))
  (cbrt (fma y (/ 1/2 x) x))
  (pow (fma y (/ 1/2 x) x) 3)
  (sqrt (fma y (/ 1/2 x) x))
  (sqrt (fma y (/ 1/2 x) x))
  (fma y (/ 1/2 x) x)
  (fma y (/ 1/2 x) x)
  (fma y (/ 1/2 x) x)
3.164 * * * [progress]: adding candidates to table
3.242 * * [progress]: iteration 3 / 4
3.242 * * * [progress]: picking best candidate
3.248 * * * * [pick]: Picked  #<alt (λ (x y) (fma (/ y x) 1/2 x))>
3.248 * * * [progress]: localizing error
3.260 * * * [progress]: generating rewritten candidates
3.260 * * * [progress]: generating series expansions
3.260 * * * [progress]: simplifying candidates
3.261 * [simplify]: Simplifying:
  
3.261 * * [simplify]: iteration 0: 0 enodes
3.261 * * [simplify]: iteration complete: 0 enodes
3.261 * * [simplify]: Extracting #0: cost 0 inf + 0
3.261 * [simplify]: Simplified to:
  
3.261 * * * [progress]: adding candidates to table
3.262 * [progress]: [Phase 3 of 3] Extracting.
3.262 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (- (fma (/ 1/2 x) y x)))> #<alt (λ (x y) (sqrt (fma x x y)))>)
3.262 * * * [regime-changes]: Trying 2 branch expressions: (y x)
3.262 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (- (fma (/ 1/2 x) y x)))> #<alt (λ (x y) (sqrt (fma x x y)))>)
3.319 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (- (fma (/ 1/2 x) y x)))> #<alt (λ (x y) (sqrt (fma x x y)))>)
3.373 * * * [regime]: Found split indices: #<option (#s(si 1 45) #s(si 2 211) #s(si 0 255))>
3.373 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (- (fma (/ 1/2 x) y x)))> #<alt (λ (x y) (sqrt (fma x x y)))>)
3.427 * [regimes]: Found splitpoints: (#s(sp 1 x -1.3211775299738663e+154) #s(sp 2 x 1.7854904614018066e+149) #s(sp 0 x +nan.0)) , with alts (#<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (- (fma (/ 1/2 x) y x)))> #<alt (λ (x y) (sqrt (fma x x y)))>)
3.427 * [simplify]: Simplifying:
  (if (<= x -1.3211775299738663e+154) (- (fma (/ 1/2 x) y x)) (if (<= x 1.7854904614018066e+149) (sqrt (fma x x y)) (fma (/ y x) 1/2 x)))
3.427 * * [simplify]: iteration 0: 16 enodes
3.428 * * [simplify]: iteration complete: 16 enodes
3.428 * * [simplify]: Extracting #0: cost 1 inf + 0
3.428 * * [simplify]: Extracting #1: cost 4 inf + 0
3.428 * * [simplify]: Extracting #2: cost 10 inf + 0
3.428 * * [simplify]: Extracting #3: cost 14 inf + 2
3.428 * * [simplify]: Extracting #4: cost 9 inf + 11
3.428 * * [simplify]: Extracting #5: cost 2 inf + 45
3.428 * * [simplify]: Extracting #6: cost 0 inf + 86
3.428 * [simplify]: Simplified to:
  (if (<= x -1.3211775299738663e+154) (- (fma (/ 1/2 x) y x)) (if (<= x 1.7854904614018066e+149) (sqrt (fma x x y)) (fma (/ y x) 1/2 x)))
5.151 * [regime-testing]: Baseline error score: 20.702212776597076
5.167 * [regime-testing]: Oracle error score: 0.002250281285160645
5.198 * [regime-testing]: End program error score: 0.007999347532938376
5.359 * [regime-testing]: Target error score: 0.5781833600906368