4.205 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.026 * [simplify]: Simplifying:
  (sqrt (+ (* x x) y))
0.026 * * [simplify]: Extracting # 0 : cost  1  inf +  0
0.026 * * [simplify]: Extracting # 1 : cost  2  inf +  0
0.026 * * [simplify]: Extracting # 2 : cost  4  inf +  0
0.026 * * [simplify]: Extracting # 3 : cost  4  inf +  1
0.026 * * [simplify]: Extracting # 4 : cost  3  inf +  2
0.026 * * [simplify]: Extracting # 5 : cost  0  inf +  247
0.026 * * [simplify]: iteration  0 :  5  enodes  (cost  122 )
0.027 * * [simplify]: Extracting # 0 : cost  0  inf +  247
0.027 * * [simplify]: Extracting # 1 : cost  0  inf +  197
0.027 * * [simplify]: iteration  1 :  7  enodes  (cost  97 )
0.028 * * [simplify]: Extracting # 0 : cost  0  inf +  197
0.028 * * [simplify]: iteration complete:  7  enodes  (cost  97 )
0.028 * [simplify]: Simplified to:
  (sqrt (fma x x y))
0.033 * * [progress]: iteration 1 / 4
0.033 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (x y) (sqrt (fma x x y)))>
0.036 * * * [progress]: localizing error
0.043 * * * [progress]: generating rewritten candidates
0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.044 * * * [progress]: generating series expansions
0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.045 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y))
0.045 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0
0.045 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y
0.045 * [taylor]: Taking taylor expansion of (fma x x y) in y
0.045 * [taylor]: Rewrote expression to (+ (* x x) y)
0.045 * [taylor]: Taking taylor expansion of (* x x) in y
0.045 * [taylor]: Taking taylor expansion of x in y
0.045 * [backup-simplify]: Simplify x into x
0.045 * [taylor]: Taking taylor expansion of x in y
0.045 * [backup-simplify]: Simplify x into x
0.045 * [taylor]: Taking taylor expansion of y in y
0.045 * [backup-simplify]: Simplify 0 into 0
0.045 * [backup-simplify]: Simplify 1 into 1
0.045 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.045 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.045 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.045 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.046 * [backup-simplify]: Simplify (+ 0 1) into 1
0.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x)
0.046 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.046 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.046 * [taylor]: Rewrote expression to (+ (* x x) y)
0.046 * [taylor]: Taking taylor expansion of (* x x) in x
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [backup-simplify]: Simplify 0 into 0
0.046 * [backup-simplify]: Simplify 1 into 1
0.046 * [taylor]: Taking taylor expansion of x in x
0.046 * [backup-simplify]: Simplify 0 into 0
0.046 * [backup-simplify]: Simplify 1 into 1
0.046 * [taylor]: Taking taylor expansion of y in x
0.046 * [backup-simplify]: Simplify y into y
0.046 * [backup-simplify]: Simplify (* 0 0) into 0
0.046 * [backup-simplify]: Simplify (+ 0 y) into y
0.046 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.047 * [backup-simplify]: Simplify (+ 0 0) into 0
0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.047 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x
0.047 * [taylor]: Taking taylor expansion of (fma x x y) in x
0.047 * [taylor]: Rewrote expression to (+ (* x x) y)
0.047 * [taylor]: Taking taylor expansion of (* x x) in x
0.047 * [taylor]: Taking taylor expansion of x in x
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [taylor]: Taking taylor expansion of x in x
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [taylor]: Taking taylor expansion of y in x
0.047 * [backup-simplify]: Simplify y into y
0.048 * [backup-simplify]: Simplify (* 0 0) into 0
0.048 * [backup-simplify]: Simplify (+ 0 y) into y
0.048 * [backup-simplify]: Simplify (sqrt y) into (sqrt y)
0.048 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.048 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0
0.048 * [taylor]: Taking taylor expansion of (sqrt y) in y
0.048 * [taylor]: Taking taylor expansion of y in y
0.048 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.049 * [backup-simplify]: Simplify (sqrt 0) into 0
0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [taylor]: Taking taylor expansion of 0 in y
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify 0 into 0
0.050 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.050 * [backup-simplify]: Simplify (+ 1 0) into 1
0.051 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y)))
0.051 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y
0.051 * [taylor]: Taking taylor expansion of 1/2 in y
0.051 * [backup-simplify]: Simplify 1/2 into 1/2
0.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y
0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.051 * [taylor]: Taking taylor expansion of y in y
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 1 into 1
0.051 * [backup-simplify]: Simplify (/ 1 1) into 1
0.051 * [backup-simplify]: Simplify (sqrt 0) into 0
0.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.053 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
0.053 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.053 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.055 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.056 * [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))))))
0.056 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y)))
0.056 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0
0.056 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y
0.056 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y
0.056 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.056 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.056 * [taylor]: Taking taylor expansion of x in y
0.056 * [backup-simplify]: Simplify x into x
0.056 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.056 * [taylor]: Taking taylor expansion of x in y
0.056 * [backup-simplify]: Simplify x into x
0.056 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.056 * [taylor]: Taking taylor expansion of y in y
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify (/ 1 1) into 1
0.057 * [backup-simplify]: Simplify (+ 0 1) into 1
0.057 * [backup-simplify]: Simplify (sqrt 0) into 0
0.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.058 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.058 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.058 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.058 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (/ 1 1) into 1
0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.058 * [taylor]: Taking taylor expansion of x in x
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (/ 1 1) into 1
0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.059 * [taylor]: Taking taylor expansion of y in x
0.059 * [backup-simplify]: Simplify y into y
0.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.059 * [backup-simplify]: Simplify (* 1 1) into 1
0.059 * [backup-simplify]: Simplify (+ 1 0) into 1
0.059 * [backup-simplify]: Simplify (sqrt 1) into 1
0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.061 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x
0.061 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x
0.061 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))
0.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.061 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (/ 1 1) into 1
0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (/ 1 1) into 1
0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.062 * [backup-simplify]: Simplify y into y
0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.070 * [backup-simplify]: Simplify (+ 1 0) into 1
0.071 * [backup-simplify]: Simplify (sqrt 1) into 1
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.074 * [taylor]: Taking taylor expansion of 1 in y
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of 0 in y
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.078 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y)
0.079 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y)
0.079 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.079 * [taylor]: Taking taylor expansion of 1/2 in y
0.079 * [backup-simplify]: Simplify 1/2 into 1/2
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.080 * [backup-simplify]: Simplify 1/2 into 1/2
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0
0.084 * [taylor]: Taking taylor expansion of 0 in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.091 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.091 * [taylor]: Taking taylor expansion of -1/8 in y
0.091 * [backup-simplify]: Simplify -1/8 into -1/8
0.091 * [taylor]: Taking taylor expansion of (pow y 2) 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
0.092 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x)))
0.094 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y)))
0.094 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0
0.094 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y
0.094 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y
0.094 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.094 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.094 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.094 * [taylor]: Taking taylor expansion of -1 in y
0.094 * [backup-simplify]: Simplify -1 into -1
0.094 * [taylor]: Taking taylor expansion of x in y
0.094 * [backup-simplify]: Simplify x into x
0.094 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.094 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.094 * [taylor]: Taking taylor expansion of -1 in y
0.094 * [backup-simplify]: Simplify -1 into -1
0.094 * [taylor]: Taking taylor expansion of x in y
0.094 * [backup-simplify]: Simplify x into x
0.095 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.095 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.095 * [taylor]: Taking taylor expansion of -1 in y
0.095 * [backup-simplify]: Simplify -1 into -1
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (/ -1 1) into -1
0.096 * [backup-simplify]: Simplify (+ 0 -1) into -1
0.096 * [backup-simplify]: Simplify (sqrt 0) into 0
0.097 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.097 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.097 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.098 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.098 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.098 * [taylor]: Taking taylor expansion of -1 in x
0.098 * [backup-simplify]: Simplify -1 into -1
0.098 * [taylor]: Taking taylor expansion of x in x
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (/ -1 1) into -1
0.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.098 * [taylor]: Taking taylor expansion of -1 in x
0.098 * [backup-simplify]: Simplify -1 into -1
0.098 * [taylor]: Taking taylor expansion of x in x
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.099 * [backup-simplify]: Simplify (/ -1 1) into -1
0.099 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.099 * [taylor]: Taking taylor expansion of -1 in x
0.099 * [backup-simplify]: Simplify -1 into -1
0.099 * [taylor]: Taking taylor expansion of y in x
0.099 * [backup-simplify]: Simplify y into y
0.099 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.099 * [backup-simplify]: Simplify (* -1 -1) into 1
0.100 * [backup-simplify]: Simplify (+ 1 0) into 1
0.100 * [backup-simplify]: Simplify (sqrt 1) into 1
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.103 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x
0.103 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x
0.104 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y))
0.104 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.104 * [taylor]: Taking taylor expansion of -1 in x
0.104 * [backup-simplify]: Simplify -1 into -1
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (/ -1 1) into -1
0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.104 * [taylor]: Taking taylor expansion of -1 in x
0.104 * [backup-simplify]: Simplify -1 into -1
0.104 * [taylor]: Taking taylor expansion of x in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ -1 1) into -1
0.105 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.105 * [taylor]: Taking taylor expansion of -1 in x
0.105 * [backup-simplify]: Simplify -1 into -1
0.105 * [taylor]: Taking taylor expansion of y in x
0.105 * [backup-simplify]: Simplify y into y
0.105 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.105 * [backup-simplify]: Simplify (* -1 -1) into 1
0.106 * [backup-simplify]: Simplify (+ 1 0) into 1
0.106 * [backup-simplify]: Simplify (sqrt 1) into 1
0.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.109 * [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 1 in y
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [taylor]: Taking taylor expansion of 0 in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.113 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y))
0.114 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y)
0.114 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y
0.114 * [taylor]: Taking taylor expansion of -1/2 in y
0.114 * [backup-simplify]: Simplify -1/2 into -1/2
0.114 * [taylor]: Taking taylor expansion of y in y
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
0.115 * [backup-simplify]: Simplify -1/2 into -1/2
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.118 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.118 * [backup-simplify]: Simplify (+ 0 0) into 0
0.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0
0.119 * [taylor]: Taking taylor expansion of 0 in y
0.119 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.123 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2))
0.125 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y
0.125 * [taylor]: Taking taylor expansion of -1/8 in y
0.125 * [backup-simplify]: Simplify -1/8 into -1/8
0.125 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.125 * [taylor]: Taking taylor expansion of y in y
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 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x))))
0.128 * * * [progress]: simplifying candidates
0.129 * [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))))
0.129 * * [simplify]: Extracting # 0 : cost  16  inf +  0
0.129 * * [simplify]: Extracting # 1 : cost  25  inf +  0
0.129 * * [simplify]: Extracting # 2 : cost  26  inf +  45
0.130 * * [simplify]: Extracting # 3 : cost  26  inf +  88
0.130 * * [simplify]: Extracting # 4 : cost  13  inf +  2069
0.130 * * [simplify]: Extracting # 5 : cost  8  inf +  3360
0.131 * * [simplify]: Extracting # 6 : cost  6  inf +  3614
0.132 * * [simplify]: Extracting # 7 : cost  3  inf +  4323
0.132 * * [simplify]: Extracting # 8 : cost  2  inf +  4737
0.133 * * [simplify]: Extracting # 9 : cost  1  inf +  5441
0.134 * * [simplify]: Extracting # 10 : cost  0  inf +  6185
0.135 * * [simplify]: iteration  0 :  37  enodes  (cost  3411 )
0.150 * * [simplify]: Extracting # 0 : cost  0  inf +  6185
0.151 * * [simplify]: Extracting # 1 : cost  11  inf +  5211
0.152 * * [simplify]: Extracting # 2 : cost  0  inf +  5945
0.154 * * [simplify]: Extracting # 3 : cost  0  inf +  5362
0.155 * * [simplify]: Extracting # 4 : cost  0  inf +  5317
0.156 * * [simplify]: iteration  1 :  76  enodes  (cost  2829 )
0.178 * * [simplify]: Extracting # 0 : cost  0  inf +  5317
0.179 * * [simplify]: Extracting # 1 : cost  29  inf +  4735
0.180 * * [simplify]: Extracting # 2 : cost  0  inf +  7224
0.182 * * [simplify]: Extracting # 3 : cost  0  inf +  7039
0.183 * * [simplify]: Extracting # 4 : cost  0  inf +  6999
0.185 * * [simplify]: iteration  2 :  174  enodes  (cost  2739 )
0.257 * * [simplify]: Extracting # 0 : cost  0  inf +  6999
0.261 * * [simplify]: Extracting # 1 : cost  73  inf +  6411
0.267 * * [simplify]: Extracting # 2 : cost  2  inf +  12986
0.273 * * [simplify]: Extracting # 3 : cost  0  inf +  13255
0.280 * * [simplify]: iteration  3 :  435  enodes  (cost  2699 )
0.588 * * [simplify]: Extracting # 0 : cost  0  inf +  13255
0.595 * * [simplify]: Extracting # 1 : cost  139  inf +  11670
0.604 * * [simplify]: Extracting # 2 : cost  8  inf +  23726
0.619 * * [simplify]: Extracting # 3 : cost  0  inf +  24541
0.638 * * [simplify]: iteration  4 :  1161  enodes  (cost  2684 )
2.038 * * [simplify]: Extracting # 0 : cost  0  inf +  24541
2.075 * * [simplify]: Extracting # 1 : cost  320  inf +  22093
2.108 * * [simplify]: Extracting # 2 : cost  10  inf +  52492
2.171 * * [simplify]: Extracting # 3 : cost  0  inf +  53371
2.240 * * [simplify]: iteration  5 :  3233  enodes  (cost  2644 )
3.996 * * [simplify]: Extracting # 0 : cost  0  inf +  53371
4.072 * * [simplify]: Extracting # 1 : cost  182  inf +  52331
4.175 * * [simplify]: Extracting # 2 : cost  0  inf +  68526
4.268 * * [simplify]: iteration complete:  5004  enodes  (cost  2634 )
4.268 * [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)))
  (* +nan.0 (fma x x (fma (- y) y (- y))))
  (fma (/ y x) 1/2 x)
  (- (* -1/2 (/ y x)) x)
4.268 * * * [progress]: adding candidates to table
4.353 * * [progress]: iteration 2 / 4
4.353 * * * [progress]: picking best candidate
4.367 * * * * [pick]: Picked  #<alt (λ (x y) (fma (/ y x) 1/2 x))>
4.367 * * * [progress]: localizing error
4.377 * * * [progress]: generating rewritten candidates
4.377 * * * [progress]: generating series expansions
4.377 * * * [progress]: simplifying candidates
4.378 * [simplify]: Simplifying:
  
4.378 * * [simplify]: Extracting # 0 : cost  0  inf +  0
4.378 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
4.378 * * [simplify]: Extracting # 0 : cost  0  inf +  0
4.378 * * [simplify]: iteration complete:  0  enodes  (cost  0 )
4.378 * [simplify]: Simplified to:
  
4.378 * * * [progress]: adding candidates to table
4.378 * * [progress]: iteration 3 / 4
4.378 * * * [progress]: picking best candidate
4.381 * * * * [pick]: Picked  #<alt (λ (x y) (- (* -1/2 (/ y x)) x))>
4.382 * * * [progress]: localizing error
4.388 * * * [progress]: generating rewritten candidates
4.389 * * * [progress]: generating series expansions
4.389 * * * [progress]: simplifying candidates
4.389 * [simplify]: Simplifying:
  
4.389 * * [simplify]: Extracting # 0 : cost  0  inf +  0
4.389 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
4.389 * * [simplify]: Extracting # 0 : cost  0  inf +  0
4.389 * * [simplify]: iteration complete:  0  enodes  (cost  0 )
4.389 * [simplify]: Simplified to:
  
4.389 * * * [progress]: adding candidates to table
4.389 * [progress]: [Phase 3 of 3] Extracting.
4.389 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
4.389 * * * [regime-changes]: Trying 2 branch expressions: (y x)
4.390 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
4.476 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
4.553 * * * [regime]: Found split indices: #<option (#s(si 0 49) #s(si 2 200) #s(si 1 255))>
4.553 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
4.603 * [regimes]: Found splitpoints: (#s(sp 0 x -1.336274910539252e+154) #s(sp 2 x 2.2161287946047037e+123) #s(sp 1 x +nan.0)) , with alts (#<alt (λ (x y) (- (* -1/2 (/ y x)) x))> #<alt (λ (x y) (fma (/ y x) 1/2 x))> #<alt (λ (x y) (sqrt (fma x x y)))>)
4.603 * [simplify]: Simplifying:
  (if (<= x -1.336274910539252e+154) (- (* -1/2 (/ y x)) x) (if (<= x 2.2161287946047037e+123) (sqrt (fma x x y)) (fma (/ y x) 1/2 x)))
4.604 * * [simplify]: Extracting # 0 : cost  1  inf +  0
4.604 * * [simplify]: Extracting # 1 : cost  4  inf +  0
4.604 * * [simplify]: Extracting # 2 : cost  10  inf +  0
4.604 * * [simplify]: Extracting # 3 : cost  13  inf +  2
4.604 * * [simplify]: Extracting # 4 : cost  9  inf +  139
4.604 * * [simplify]: Extracting # 5 : cost  4  inf +  434
4.604 * * [simplify]: Extracting # 6 : cost  0  inf +  1500
4.605 * * [simplify]: iteration  0 :  16  enodes  (cost  536 )
4.606 * * [simplify]: Extracting # 0 : cost  0  inf +  1500
4.607 * * [simplify]: iteration  1 :  17  enodes  (cost  536 )
4.608 * * [simplify]: Extracting # 0 : cost  0  inf +  1500
4.608 * * [simplify]: iteration complete:  17  enodes  (cost  536 )
4.608 * [simplify]: Simplified to:
  (if (<= x -1.336274910539252e+154) (- (* -1/2 (/ y x)) x) (if (<= x 2.2161287946047037e+123) (sqrt (fma x x y)) (fma (/ y x) 1/2 x)))
5.972 * [regime-testing]: Baseline error score: 21.41417677209651
5.982 * [regime-testing]: Oracle error score: 0.004141012590397836
6.011 * [regime-testing]: End program error score: 0.09137718884529128
6.144 * [regime-testing]: Target error score: 0.5568328357855199