21.029 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.035 * * * [progress]: [2/2] Setting up program.
0.040 * [progress]: [Phase 2 of 3] Improving.
0.040 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y) (sqrt (+ (* x x) y)))>
0.041 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.041 * * [simplify]: iteration 0: 5 enodes
0.042 * * [simplify]: iteration 1: 7 enodes
0.044 * * [simplify]: iteration complete: 7 enodes
0.044 * * [simplify]: Extracting #0: cost 1 inf + 0
0.044 * * [simplify]: Extracting #1: cost 2 inf + 0
0.044 * * [simplify]: Extracting #2: cost 5 inf + 0
0.044 * * [simplify]: Extracting #3: cost 3 inf + 2
0.044 * * [simplify]: Extracting #4: cost 0 inf + 197
0.044 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.052 * * [progress]: iteration 1 / 4
0.052 * * * [progress]: picking best candidate
0.057 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.057 * * * [progress]: localizing error
0.070 * * * [progress]: generating rewritten candidates
0.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.072 * * * [progress]: generating series expansions
0.072 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.072 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y))
0.072 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.072 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.072 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.072 * [taylor]: Rewrote expression to (+ (* x x) y)
0.072 * [taylor]: Taking taylor expansion of (* x x) in y
0.072 * [taylor]: Taking taylor expansion of x in y
0.072 * [backup-simplify]: Simplify x into x
0.072 * [taylor]: Taking taylor expansion of x in y
0.072 * [backup-simplify]: Simplify x into x
0.072 * [taylor]: Taking taylor expansion of y in y
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.072 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.072 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.072 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.073 * [backup-simplify]: Simplify (+ 0 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.073 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.073 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.073 * [taylor]: Rewrote expression to (+ (* x x) y)
0.073 * [taylor]: Taking taylor expansion of (* x x) in x
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [taylor]: Taking taylor expansion of x in x
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [taylor]: Taking taylor expansion of y in x
0.073 * [backup-simplify]: Simplify y into y
0.074 * [backup-simplify]: Simplify (* 0 0) into 0
0.074 * [backup-simplify]: Simplify (+ 0 y) into y
0.074 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.074 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.075 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.075 * [taylor]: Rewrote expression to (+ (* x x) y)
0.075 * [taylor]: Taking taylor expansion of (* x x) in x
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [taylor]: Taking taylor expansion of x in x
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.075 * [backup-simplify]: Simplify (* 0 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 y) into y
0.075 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.076 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.076 * [taylor]: Taking taylor expansion of y in y
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (sqrt 0) into 0
0.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [taylor]: Taking taylor expansion of 0 in y
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.084 * [backup-simplify]: Simplify (+ 1 0) into 1
0.085 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.085 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.085 * [taylor]: Taking taylor expansion of 1/2 in y
0.085 * [backup-simplify]: Simplify 1/2 into 1/2
0.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.085 * [taylor]: Taking taylor expansion of y in y
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [backup-simplify]: Simplify (sqrt 0) into 0
0.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.087 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.088 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.088 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.090 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.090 * [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))))))
0.090 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y)))
0.090 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.091 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.091 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.091 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.091 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.091 * [taylor]: Taking taylor expansion of x in y
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.091 * [taylor]: Taking taylor expansion of y in y
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [backup-simplify]: Simplify (+ 0 1) into 1
0.092 * [backup-simplify]: Simplify (sqrt 0) into 0
0.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.093 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.093 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.093 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.093 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (/ 1 1) into 1
0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.093 * [taylor]: Taking taylor expansion of y in x
0.093 * [backup-simplify]: Simplify y into y
0.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (+ 1 0) into 1
0.094 * [backup-simplify]: Simplify (sqrt 1) into 1
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.096 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.096 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.096 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.096 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.096 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (/ 1 1) into 1
0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.096 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.097 * [taylor]: Taking taylor expansion of y in x
0.097 * [backup-simplify]: Simplify y into y
0.097 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (+ 1 0) into 1
0.098 * [backup-simplify]: Simplify (sqrt 1) into 1
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.100 * [taylor]: Taking taylor expansion of 1 in y
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [taylor]: Taking taylor expansion of 0 in y
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.104 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.104 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.104 * [taylor]: Taking taylor expansion of 1/2 in y
0.104 * [backup-simplify]: Simplify 1/2 into 1/2
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.105 * [backup-simplify]: Simplify 1/2 into 1/2
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.109 * [taylor]: Taking taylor expansion of 0 in y
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.115 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.115 * [taylor]: Taking taylor expansion of -1/8 in y
0.115 * [backup-simplify]: Simplify -1/8 into -1/8
0.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.117 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y)))
0.117 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.117 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.118 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.118 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.118 * [taylor]: Taking taylor expansion of -1 in y
0.118 * [backup-simplify]: Simplify -1 into -1
0.118 * [taylor]: Taking taylor expansion of x in y
0.118 * [backup-simplify]: Simplify x into x
0.118 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.118 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.118 * [taylor]: Taking taylor expansion of -1 in y
0.118 * [backup-simplify]: Simplify -1 into -1
0.118 * [taylor]: Taking taylor expansion of x in y
0.118 * [backup-simplify]: Simplify x into x
0.118 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.118 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.118 * [taylor]: Taking taylor expansion of -1 in y
0.118 * [backup-simplify]: Simplify -1 into -1
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (/ -1 1) into -1
0.119 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.119 * [backup-simplify]: Simplify (sqrt 0) into 0
0.121 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.121 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.121 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.121 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.121 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.121 * [taylor]: Taking taylor expansion of -1 in x
0.121 * [backup-simplify]: Simplify -1 into -1
0.121 * [taylor]: Taking taylor expansion of x in x
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (/ -1 1) into -1
0.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.122 * [taylor]: Taking taylor expansion of -1 in x
0.122 * [backup-simplify]: Simplify -1 into -1
0.122 * [taylor]: Taking taylor expansion of x in x
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (/ -1 1) into -1
0.122 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.122 * [taylor]: Taking taylor expansion of -1 in x
0.122 * [backup-simplify]: Simplify -1 into -1
0.122 * [taylor]: Taking taylor expansion of y in x
0.122 * [backup-simplify]: Simplify y into y
0.122 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.123 * [backup-simplify]: Simplify (* -1 -1) into 1
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [backup-simplify]: Simplify (sqrt 1) into 1
0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.125 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.125 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.125 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.125 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.125 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.125 * [taylor]: Taking taylor expansion of -1 in x
0.125 * [backup-simplify]: Simplify -1 into -1
0.125 * [taylor]: Taking taylor expansion of x in x
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (/ -1 1) into -1
0.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.126 * [taylor]: Taking taylor expansion of -1 in x
0.126 * [backup-simplify]: Simplify -1 into -1
0.126 * [taylor]: Taking taylor expansion of x in x
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (/ -1 1) into -1
0.126 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.126 * [taylor]: Taking taylor expansion of -1 in x
0.126 * [backup-simplify]: Simplify -1 into -1
0.126 * [taylor]: Taking taylor expansion of y in x
0.126 * [backup-simplify]: Simplify y into y
0.126 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.126 * [backup-simplify]: Simplify (* -1 -1) into 1
0.127 * [backup-simplify]: Simplify (+ 1 0) into 1
0.127 * [backup-simplify]: Simplify (sqrt 1) into 1
0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.129 * [backup-simplify]: Simplify (+ 0 0) into 0
0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.129 * [taylor]: Taking taylor expansion of 1 in y
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [taylor]: Taking taylor expansion of 0 in y
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y))
0.132 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.132 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.132 * [taylor]: Taking taylor expansion of -1/2 in y
0.132 * [backup-simplify]: Simplify -1/2 into -1/2
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
0.132 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.132 * [backup-simplify]: Simplify -1/2 into -1/2
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.135 * [taylor]: Taking taylor expansion of 0 in y
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.138 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.139 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.139 * [taylor]: Taking taylor expansion of -1/8 in y
0.139 * [backup-simplify]: Simplify -1/8 into -1/8
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.139 * [taylor]: Taking taylor expansion of y in y
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.139 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.140 * * * [progress]: simplifying candidates
0.140 * * * * [progress]: [ 1 / 19 ] simplifiying candidate #<alt (λ (x y) (log1p (expm1 (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 2 / 19 ] simplifiying candidate #<alt (λ (x y) (expm1 (log1p (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 3 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (fma x x y) 1/2))>
0.141 * * * * [progress]: [ 4 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (sqrt (fma x x y)) 1))>
0.141 * * * * [progress]: [ 5 / 19 ] simplifiying candidate #<alt (λ (x y) (exp (log (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 6 / 19 ] simplifiying candidate #<alt (λ (x y) (log (exp (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 7 / 19 ] simplifiying candidate #<alt (λ (x y) (* (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 8 / 19 ] simplifiying candidate #<alt (λ (x y) (cbrt (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 9 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y)))))>
0.141 * * * * [progress]: [ 10 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 11 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt 1) (sqrt (fma x x y))))>
0.141 * * * * [progress]: [ 12 / 19 ] simplifiying candidate #<alt (λ (x y) (pow (fma x x y) (/ 1 2)))>
0.141 * * * * [progress]: [ 13 / 19 ] simplifiying candidate #<alt (λ (x y) (* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 14 / 19 ] simplifiying candidate #<alt (λ (x y) (fabs (sqrt (fma x x y))))>
0.141 * * * * [progress]: [ 15 / 19 ] simplifiying candidate #<alt (λ (x y) (* 1 (sqrt (fma x x y))))>
0.141 * * * * [progress]: [ 16 / 19 ] simplifiying candidate #<alt (λ (x y) (posit16->real (real->posit16 (sqrt (fma x x y)))))>
0.141 * * * * [progress]: [ 17 / 19 ] simplifiying candidate #<alt (λ (x y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))))>
0.141 * * * * [progress]: [ 18 / 19 ] simplifiying candidate #<alt (λ (x y) (+ x (* 1/2 (/ y x))))>
0.141 * * * * [progress]: [ 19 / 19 ] simplifiying candidate #<alt (λ (x y) (- (+ x (* 1/2 (/ y x)))))>
0.141 * [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)))
  (real->posit16 (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))))
0.142 * * [simplify]: iteration 0: 38 enodes
0.149 * * [simplify]: iteration 1: 77 enodes
0.176 * * [simplify]: iteration 2: 170 enodes
0.242 * * [simplify]: iteration 3: 468 enodes
0.639 * * [simplify]: iteration 4: 1269 enodes
1.953 * * [simplify]: iteration 5: 3458 enodes
4.615 * * [simplify]: iteration complete: 5038 enodes
4.615 * * [simplify]: Extracting #0: cost 17 inf + 0
4.616 * * [simplify]: Extracting #1: cost 196 inf + 2
4.624 * * [simplify]: Extracting #2: cost 410 inf + 5580
4.648 * * [simplify]: Extracting #3: cost 189 inf + 29310
4.686 * * [simplify]: Extracting #4: cost 28 inf + 47967
4.712 * * [simplify]: Extracting #5: cost 0 inf + 49916
4.739 * * [simplify]: Extracting #6: cost 0 inf + 49876
4.764 * [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)))
  (* (fma x x y) (sqrt (fma x x y)))
  (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)))
  (real->posit16 (sqrt (fma x x y)))
  (* (- (* x x) (fma y y y)) +nan.0)
  (fma (/ y x) 1/2 x)
  (- (* -1/2 (/ y x)) x)
4.765 * * * [progress]: adding candidates to table
4.821 * * [progress]: iteration 2 / 4
4.821 * * * [progress]: picking best candidate
4.829 * * * * [pick]: Picked  #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
4.829 * * * [progress]: localizing error
4.846 * * * [progress]: generating rewritten candidates
4.846 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1)
4.864 * * * [progress]: generating series expansions
4.864 * * * * [progress]: [ 1 / 1 ] generating series at (2 1)
4.864 * [backup-simplify]: Simplify (* -1/2 (/ y x)) into (* -1/2 (/ y x))
4.864 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0
4.864 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x
4.864 * [taylor]: Taking taylor expansion of -1/2 in x
4.864 * [backup-simplify]: Simplify -1/2 into -1/2
4.864 * [taylor]: Taking taylor expansion of (/ y x) in x
4.864 * [taylor]: Taking taylor expansion of y in x
4.865 * [backup-simplify]: Simplify y into y
4.865 * [taylor]: Taking taylor expansion of x in x
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (/ y 1) into y
4.865 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
4.865 * [taylor]: Taking taylor expansion of -1/2 in y
4.865 * [backup-simplify]: Simplify -1/2 into -1/2
4.865 * [taylor]: Taking taylor expansion of (/ y x) in y
4.865 * [taylor]: Taking taylor expansion of y in y
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [taylor]: Taking taylor expansion of x in y
4.865 * [backup-simplify]: Simplify x into x
4.865 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.865 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y
4.865 * [taylor]: Taking taylor expansion of -1/2 in y
4.865 * [backup-simplify]: Simplify -1/2 into -1/2
4.865 * [taylor]: Taking taylor expansion of (/ y x) in y
4.865 * [taylor]: Taking taylor expansion of y in y
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [taylor]: Taking taylor expansion of x in y
4.865 * [backup-simplify]: Simplify x into x
4.865 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.865 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x)
4.865 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x
4.866 * [taylor]: Taking taylor expansion of -1/2 in x
4.866 * [backup-simplify]: Simplify -1/2 into -1/2
4.866 * [taylor]: Taking taylor expansion of x in x
4.866 * [backup-simplify]: Simplify 0 into 0
4.866 * [backup-simplify]: Simplify 1 into 1
4.866 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
4.866 * [backup-simplify]: Simplify -1/2 into -1/2
4.867 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0
4.867 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0
4.867 * [taylor]: Taking taylor expansion of 0 in x
4.867 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.869 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.870 * [taylor]: Taking taylor expansion of 0 in x
4.870 * [backup-simplify]: Simplify 0 into 0
4.870 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.871 * [backup-simplify]: Simplify 0 into 0
4.871 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.872 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0
4.872 * [taylor]: Taking taylor expansion of 0 in x
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.873 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x))
4.874 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 y) (/ 1 x))) into (* -1/2 (/ x y))
4.874 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
4.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
4.874 * [taylor]: Taking taylor expansion of -1/2 in x
4.874 * [backup-simplify]: Simplify -1/2 into -1/2
4.874 * [taylor]: Taking taylor expansion of (/ x y) in x
4.874 * [taylor]: Taking taylor expansion of x in x
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [taylor]: Taking taylor expansion of y in x
4.874 * [backup-simplify]: Simplify y into y
4.874 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
4.874 * [taylor]: Taking taylor expansion of -1/2 in y
4.874 * [backup-simplify]: Simplify -1/2 into -1/2
4.874 * [taylor]: Taking taylor expansion of (/ x y) in y
4.874 * [taylor]: Taking taylor expansion of x in y
4.874 * [backup-simplify]: Simplify x into x
4.874 * [taylor]: Taking taylor expansion of y in y
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [backup-simplify]: Simplify (/ x 1) into x
4.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
4.874 * [taylor]: Taking taylor expansion of -1/2 in y
4.874 * [backup-simplify]: Simplify -1/2 into -1/2
4.874 * [taylor]: Taking taylor expansion of (/ x y) in y
4.874 * [taylor]: Taking taylor expansion of x in y
4.874 * [backup-simplify]: Simplify x into x
4.874 * [taylor]: Taking taylor expansion of y in y
4.874 * [backup-simplify]: Simplify 0 into 0
4.874 * [backup-simplify]: Simplify 1 into 1
4.874 * [backup-simplify]: Simplify (/ x 1) into x
4.874 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x)
4.875 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
4.875 * [taylor]: Taking taylor expansion of -1/2 in x
4.875 * [backup-simplify]: Simplify -1/2 into -1/2
4.875 * [taylor]: Taking taylor expansion of x in x
4.875 * [backup-simplify]: Simplify 0 into 0
4.875 * [backup-simplify]: Simplify 1 into 1
4.876 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
4.876 * [backup-simplify]: Simplify -1/2 into -1/2
4.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
4.877 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0
4.877 * [taylor]: Taking taylor expansion of 0 in x
4.877 * [backup-simplify]: Simplify 0 into 0
4.877 * [backup-simplify]: Simplify 0 into 0
4.878 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.878 * [backup-simplify]: Simplify 0 into 0
4.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.880 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0
4.880 * [taylor]: Taking taylor expansion of 0 in x
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.882 * [backup-simplify]: Simplify 0 into 0
4.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.885 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.885 * [taylor]: Taking taylor expansion of 0 in x
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify 0 into 0
4.885 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x))
4.885 * [backup-simplify]: Simplify (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* -1/2 (/ x y))
4.886 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0
4.886 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x
4.886 * [taylor]: Taking taylor expansion of -1/2 in x
4.886 * [backup-simplify]: Simplify -1/2 into -1/2
4.886 * [taylor]: Taking taylor expansion of (/ x y) in x
4.886 * [taylor]: Taking taylor expansion of x in x
4.886 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify 1 into 1
4.886 * [taylor]: Taking taylor expansion of y in x
4.886 * [backup-simplify]: Simplify y into y
4.886 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.886 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
4.886 * [taylor]: Taking taylor expansion of -1/2 in y
4.886 * [backup-simplify]: Simplify -1/2 into -1/2
4.886 * [taylor]: Taking taylor expansion of (/ x y) in y
4.886 * [taylor]: Taking taylor expansion of x in y
4.886 * [backup-simplify]: Simplify x into x
4.886 * [taylor]: Taking taylor expansion of y in y
4.886 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify 1 into 1
4.886 * [backup-simplify]: Simplify (/ x 1) into x
4.886 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y
4.886 * [taylor]: Taking taylor expansion of -1/2 in y
4.886 * [backup-simplify]: Simplify -1/2 into -1/2
4.886 * [taylor]: Taking taylor expansion of (/ x y) in y
4.886 * [taylor]: Taking taylor expansion of x in y
4.886 * [backup-simplify]: Simplify x into x
4.886 * [taylor]: Taking taylor expansion of y in y
4.886 * [backup-simplify]: Simplify 0 into 0
4.886 * [backup-simplify]: Simplify 1 into 1
4.886 * [backup-simplify]: Simplify (/ x 1) into x
4.887 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x)
4.887 * [taylor]: Taking taylor expansion of (* -1/2 x) in x
4.887 * [taylor]: Taking taylor expansion of -1/2 in x
4.887 * [backup-simplify]: Simplify -1/2 into -1/2
4.887 * [taylor]: Taking taylor expansion of x in x
4.887 * [backup-simplify]: Simplify 0 into 0
4.887 * [backup-simplify]: Simplify 1 into 1
4.888 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2
4.888 * [backup-simplify]: Simplify -1/2 into -1/2
4.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0
4.889 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0
4.889 * [taylor]: Taking taylor expansion of 0 in x
4.889 * [backup-simplify]: Simplify 0 into 0
4.889 * [backup-simplify]: Simplify 0 into 0
4.890 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.890 * [backup-simplify]: Simplify 0 into 0
4.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0
4.893 * [taylor]: Taking taylor expansion of 0 in x
4.893 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify 0 into 0
4.893 * [backup-simplify]: Simplify 0 into 0
4.897 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.897 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.899 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
4.899 * [taylor]: Taking taylor expansion of 0 in x
4.899 * [backup-simplify]: Simplify 0 into 0
4.899 * [backup-simplify]: Simplify 0 into 0
4.900 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x))
4.900 * * * [progress]: simplifying candidates
4.900 * * * * [progress]: [ 1 / 38 ] simplifiying candidate #<alt (λ (x y) (- (log1p (expm1 (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 2 / 38 ] simplifiying candidate #<alt (λ (x y) (- (expm1 (log1p (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 3 / 38 ] simplifiying candidate #<alt (λ (x y) (- (pow (* -1/2 (/ y x)) 1) x))>
4.900 * * * * [progress]: [ 4 / 38 ] simplifiying candidate #<alt (λ (x y) (- (pow (* -1/2 (/ y x)) 1) x))>
4.900 * * * * [progress]: [ 5 / 38 ] simplifiying candidate #<alt (λ (x y) (- (exp (+ (log -1/2) (- (log y) (log x)))) x))>
4.900 * * * * [progress]: [ 6 / 38 ] simplifiying candidate #<alt (λ (x y) (- (exp (+ (log -1/2) (log (/ y x)))) x))>
4.900 * * * * [progress]: [ 7 / 38 ] simplifiying candidate #<alt (λ (x y) (- (exp (log (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 8 / 38 ] simplifiying candidate #<alt (λ (x y) (- (log (exp (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 9 / 38 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x)))) x))>
4.900 * * * * [progress]: [ 10 / 38 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x)))) x))>
4.900 * * * * [progress]: [ 11 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 12 / 38 ] simplifiying candidate #<alt (λ (x y) (- (cbrt (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 13 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x)))) x))>
4.900 * * * * [progress]: [ 14 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (* -1/2 (/ y x))) x))>
4.900 * * * * [progress]: [ 15 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x)))) x))>
4.900 * * * * [progress]: [ 16 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))) x))>
4.900 * * * * [progress]: [ 17 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (cbrt (/ y x))) x))>
4.900 * * * * [progress]: [ 18 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (sqrt (/ y x))) (sqrt (/ y x))) x))>
4.900 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (/ (cbrt y) (cbrt x))) x))>
4.901 * * * * [progress]: [ 20 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (/ (cbrt y) (sqrt x))) x))>
4.901 * * * * [progress]: [ 21 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) x)) x))>
4.901 * * * * [progress]: [ 22 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (/ (sqrt y) (cbrt x))) x))>
4.901 * * * * [progress]: [ 23 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ (sqrt y) (sqrt x))) (/ (sqrt y) (sqrt x))) x))>
4.901 * * * * [progress]: [ 24 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ (sqrt y) 1)) (/ (sqrt y) x)) x))>
4.901 * * * * [progress]: [ 25 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (/ y (cbrt x))) x))>
4.901 * * * * [progress]: [ 26 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ 1 (sqrt x))) (/ y (sqrt x))) x))>
4.901 * * * * [progress]: [ 27 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 (/ 1 1)) (/ y x)) x))>
4.901 * * * * [progress]: [ 28 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 1) (/ y x)) x))>
4.901 * * * * [progress]: [ 29 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* -1/2 y) (/ 1 x)) x))>
4.901 * * * * [progress]: [ 30 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt -1/2) (/ y x))) x))>
4.901 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (sqrt -1/2) (* (sqrt -1/2) (/ y x))) x))>
4.901 * * * * [progress]: [ 32 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* 1 (* -1/2 (/ y x))) x))>
4.901 * * * * [progress]: [ 33 / 38 ] simplifiying candidate #<alt (λ (x y) (- (/ (* -1/2 y) x) x))>
4.901 * * * * [progress]: [ 34 / 38 ] simplifiying candidate #<alt (λ (x y) (- (posit16->real (real->posit16 (* -1/2 (/ y x)))) x))>
4.901 * * * * [progress]: [ 35 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* (/ y x) -1/2) x))>
4.901 * * * * [progress]: [ 36 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
4.901 * * * * [progress]: [ 37 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
4.901 * * * * [progress]: [ 38 / 38 ] simplifiying candidate #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
4.902 * [simplify]: Simplifying:
  (expm1 (* -1/2 (/ y x)))
  (log1p (* -1/2 (/ y x)))
  (* -1/2 (/ y x))
  (+ (log -1/2) (- (log y) (log x)))
  (+ (log -1/2) (log (/ y x)))
  (log (* -1/2 (/ y x)))
  (exp (* -1/2 (/ y x)))
  (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x)))
  (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x)))
  (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x))))
  (cbrt (* -1/2 (/ y x)))
  (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x)))
  (sqrt (* -1/2 (/ y x)))
  (sqrt (* -1/2 (/ y x)))
  (* (sqrt -1/2) (sqrt (/ y x)))
  (* (sqrt -1/2) (sqrt (/ y x)))
  (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))
  (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x))))
  (* -1/2 (sqrt (/ y x)))
  (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
  (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x)))
  (* -1/2 (/ (* (cbrt y) (cbrt y)) 1))
  (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x))))
  (* -1/2 (/ (sqrt y) (sqrt x)))
  (* -1/2 (/ (sqrt y) 1))
  (* -1/2 (/ 1 (* (cbrt x) (cbrt x))))
  (* -1/2 (/ 1 (sqrt x)))
  (* -1/2 (/ 1 1))
  (* -1/2 1)
  (* -1/2 y)
  (* (cbrt -1/2) (/ y x))
  (* (sqrt -1/2) (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 y)
  (real->posit16 (* -1/2 (/ y x)))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
  (* -1/2 (/ y x))
4.902 * * [simplify]: iteration 0: 71 enodes
4.919 * * [simplify]: iteration 1: 173 enodes
4.984 * * [simplify]: iteration 2: 531 enodes
5.355 * * [simplify]: iteration 3: 1944 enodes
6.396 * * [simplify]: iteration complete: 5001 enodes
6.396 * * [simplify]: Extracting #0: cost 26 inf + 0
6.399 * * [simplify]: Extracting #1: cost 573 inf + 1
6.407 * * [simplify]: Extracting #2: cost 1342 inf + 6260
6.449 * * [simplify]: Extracting #3: cost 560 inf + 134352
6.526 * * [simplify]: Extracting #4: cost 109 inf + 200779
6.584 * * [simplify]: Extracting #5: cost 5 inf + 221549
6.634 * * [simplify]: Extracting #6: cost 0 inf + 222885
6.701 * [simplify]: Simplified to:
  (expm1 (/ y (/ x -1/2)))
  (log1p (/ y (/ x -1/2)))
  (/ y (/ x -1/2))
  (log (/ y (/ x -1/2)))
  (log (/ y (/ x -1/2)))
  (log (/ y (/ x -1/2)))
  (exp (/ y (/ x -1/2)))
  (* (* (/ y x) -1/8) (* (/ y x) (/ y x)))
  (* (* (/ y x) -1/8) (* (/ y x) (/ y x)))
  (* (cbrt (/ y (/ x -1/2))) (cbrt (/ y (/ x -1/2))))
  (cbrt (/ y (/ x -1/2)))
  (* (* (/ y x) -1/8) (* (/ y x) (/ y x)))
  (sqrt (/ y (/ x -1/2)))
  (sqrt (/ y (/ x -1/2)))
  (* (sqrt -1/2) (sqrt (/ y x)))
  (* (sqrt -1/2) (sqrt (/ y x)))
  (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))
  (* (sqrt -1/2) (/ (sqrt y) (sqrt x)))
  (* (* (cbrt (/ y x)) (cbrt (/ y x))) -1/2)
  (* (sqrt (/ y x)) -1/2)
  (* (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) -1/2)
  (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y))))
  (* -1/2 (* (cbrt y) (cbrt y)))
  (* (sqrt y) (/ -1/2 (* (cbrt x) (cbrt x))))
  (* (/ -1/2 (sqrt x)) (sqrt y))
  (* -1/2 (sqrt y))
  (/ (/ -1/2 (cbrt x)) (cbrt x))
  (/ -1/2 (sqrt x))
  -1/2
  -1/2
  (* -1/2 y)
  (* (cbrt -1/2) (/ y x))
  (* (/ y x) (sqrt -1/2))
  (/ y (/ x -1/2))
  (* -1/2 y)
  (real->posit16 (/ y (/ x -1/2)))
  (/ y (/ x -1/2))
  (/ y (/ x -1/2))
  (/ y (/ x -1/2))
6.702 * * * [progress]: adding candidates to table
6.833 * * [progress]: iteration 3 / 4
6.833 * * * [progress]: picking best candidate
6.835 * * * * [pick]: Picked  #<alt (λ (x y) (fma (/ y x) 1/2 x))>
6.835 * * * [progress]: localizing error
6.849 * * * [progress]: generating rewritten candidates
6.849 * * * [progress]: generating series expansions
6.849 * * * [progress]: simplifying candidates
6.849 * [simplify]: Simplifying:
  
6.849 * * [simplify]: iteration 0: 0 enodes
6.849 * * [simplify]: iteration complete: 0 enodes
6.849 * * [simplify]: Extracting #0: cost 0 inf + 0
6.849 * [simplify]: Simplified to:
  
6.849 * * * [progress]: adding candidates to table
6.850 * [progress]: [Phase 3 of 3] Extracting.
6.850 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (fma (/ y x) 1/2 x))>)
6.851 * * * [regime-changes]: Trying 2 branch expressions: (y x)
6.851 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (fma (/ y x) 1/2 x))>)
6.896 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (fma (/ y x) 1/2 x))>)
6.959 * * * [regime]: Found split indices: #<option (#s(si 0 38) #s(si 1 189) #s(si 2 255))>
6.960 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (fma (/ y x) 1/2 x))>)
7.066 * [regimes]: Found splitpoints: (#s(sp 0 x -1.3323185489366894e+154) #s(sp 1 x 1.3070827329489974e+38) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (sqrt (fma x x y)))> #<alt (λ (x y) (fma (/ y x) 1/2 x))>)
7.067 * [simplify]: Simplifying:
  (if (<= x -1.3323185489366894e+154) (- (* -1/2 (/ y x)) x) (if (<= x 1.3070827329489974e+38) (sqrt (fma x x y)) (fma (/ y x) 1/2 x)))
7.067 * * [simplify]: iteration 0: 16 enodes
7.067 * * [simplify]: iteration 1: 17 enodes
7.068 * * [simplify]: iteration complete: 17 enodes
7.068 * * [simplify]: Extracting #0: cost 1 inf + 0
7.068 * * [simplify]: Extracting #1: cost 4 inf + 0
7.068 * * [simplify]: Extracting #2: cost 10 inf + 0
7.068 * * [simplify]: Extracting #3: cost 13 inf + 2
7.068 * * [simplify]: Extracting #4: cost 9 inf + 139
7.068 * * [simplify]: Extracting #5: cost 4 inf + 434
7.068 * * [simplify]: Extracting #6: cost 0 inf + 1500
7.068 * [simplify]: Simplified to:
  (if (<= x -1.3323185489366894e+154) (- (* -1/2 (/ y x)) x) (if (<= x 1.3070827329489974e+38) (sqrt (fma x x y)) (fma (/ y x) 1/2 x)))
8.494 * [regime-testing]: Baseline error score: 19.80250024830529
8.498 * [regime-testing]: Oracle error score: 0.001375171896487061
8.508 * [regime-testing]: End program error score: 0.7328375524182609
8.580 * [regime-testing]: Target error score: 0.5368626739259934