14.043 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.018 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) h1)) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 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 0.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.048 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.048 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.048 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.049 * [backup-simplify]: Simplify (+ 0 1) into 1 0.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (+ 0 y) into y 0.049 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [backup-simplify]: Simplify (+ 0 y) into y 0.049 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.050 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (sqrt 0) into 0 0.051 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.053 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of 1/2 in y 0.053 * [backup-simplify]: Simplify 1/2 into 1/2 0.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [backup-simplify]: Simplify (sqrt 0) into 0 0.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.055 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.055 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.055 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.057 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.057 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.058 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.058 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [backup-simplify]: Simplify x into x 0.058 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.058 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 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 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify (sqrt 0) into 0 0.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (sqrt 1) into 1 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (sqrt 1) into 1 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.070 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.070 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.076 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of -1/8 in y 0.076 * [backup-simplify]: Simplify -1/8 into -1/8 0.076 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.077 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.077 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (- 1) into -1 0.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.079 * [backup-simplify]: Simplify (sqrt 0) into 0 0.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.080 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (sqrt 1) into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.087 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.087 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.087 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.087 * [taylor]: Taking taylor expansion of -1/2 in y 0.087 * [backup-simplify]: Simplify -1/2 into -1/2 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.088 * [backup-simplify]: Simplify -1/2 into -1/2 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of -1/8 in y 0.093 * [backup-simplify]: Simplify -1/8 into -1/8 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.094 * [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 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.094 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.095 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (+ 0 y) into y 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 0 into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.097 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [backup-simplify]: Simplify x into x 0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 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 (pow x 2)) (/ 1 y)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [backup-simplify]: Simplify y into y 0.098 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.099 * [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 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 0) into 1 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 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) (+ (* 0 0) (* 0 1))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.105 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.105 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [backup-simplify]: Simplify x into x 0.106 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [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 (pow x 2)) (/ 1 y)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.108 * [taylor]: Taking taylor expansion of 1 in y 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.110 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (- 1) into -1 0.110 * [backup-simplify]: Simplify -1 into -1 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.114 * [backup-simplify]: Simplify (- 0) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.115 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (expm1 (+ (* x x) y)) (log1p (+ (* x x) y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.116 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) h1))) (log1p (sqrt (+ (* h0 h0) h1))) (log (sqrt (+ (* h0 h0) h1))) (exp (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (+ (* h0 h0) h1))) (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (sqrt (cbrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (expm1 (+ (* h0 h0) h1)) (log1p (+ (* h0 h0) h1)) (* (exp (* h0 h0)) (exp h1)) (log (+ (* h0 h0) h1)) (exp (+ (* h0 h0) h1)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.120 * * [simplify]: iteration 0 : 153 enodes (cost 160 ) 0.123 * * [simplify]: iteration 1 : 518 enodes (cost 146 ) 0.133 * * [simplify]: iteration 2 : 1716 enodes (cost 138 ) 0.168 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.169 * * * [progress]: adding candidates to table 0.261 * * [progress]: iteration 2 / 4 0.261 * * * [progress]: picking best candidate 0.265 * * * * [pick]: Picked # 0.265 * * * [progress]: localizing error 0.269 * * * [progress]: generating rewritten candidates 0.269 * * * [progress]: generating series expansions 0.269 * * * [progress]: simplifying candidates 0.269 * [simplify]: Simplifying: 0.269 * [simplify]: Sending expressions to egg_math: 0.272 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.272 * * * [progress]: adding candidates to table 0.272 * * [progress]: iteration 3 / 4 0.272 * * * [progress]: picking best candidate 0.275 * * * * [pick]: Picked # 0.275 * * * [progress]: localizing error 0.280 * * * [progress]: generating rewritten candidates 0.280 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.295 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.303 * * * [progress]: generating series expansions 0.303 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.303 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 0.303 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.303 * [taylor]: Taking taylor expansion of (/ y x) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [backup-simplify]: Simplify y into y 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ y 1) into y 0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.303 * [taylor]: Taking taylor expansion of 1/2 in y 0.303 * [backup-simplify]: Simplify 1/2 into 1/2 0.303 * [taylor]: Taking taylor expansion of (/ y x) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.304 * [taylor]: Taking taylor expansion of 1/2 in y 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of (/ y x) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [backup-simplify]: Simplify x into x 0.304 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.304 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.304 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.304 * [taylor]: Taking taylor expansion of 1/2 in x 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.305 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in x 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.306 * [taylor]: Taking taylor expansion of 0 in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 0.309 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 0.309 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.309 * [taylor]: Taking taylor expansion of 1/2 in x 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [taylor]: Taking taylor expansion of (/ x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.309 * [taylor]: Taking taylor expansion of 1/2 in y 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [taylor]: Taking taylor expansion of (/ x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ x 1) into x 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.309 * [taylor]: Taking taylor expansion of 1/2 in y 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [taylor]: Taking taylor expansion of (/ x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ x 1) into x 0.309 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.309 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.309 * [taylor]: Taking taylor expansion of 1/2 in x 0.309 * [backup-simplify]: Simplify 1/2 into 1/2 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.310 * [backup-simplify]: Simplify 1/2 into 1/2 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 0.315 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 0.315 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [taylor]: Taking taylor expansion of (/ x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [backup-simplify]: Simplify y into y 0.315 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.315 * [taylor]: Taking taylor expansion of 1/2 in y 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [taylor]: Taking taylor expansion of (/ x y) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [backup-simplify]: Simplify x into x 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ x 1) into x 0.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.316 * [taylor]: Taking taylor expansion of 1/2 in y 0.316 * [backup-simplify]: Simplify 1/2 into 1/2 0.316 * [taylor]: Taking taylor expansion of (/ x y) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [backup-simplify]: Simplify x into x 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (/ x 1) into x 0.316 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.316 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.316 * [taylor]: Taking taylor expansion of 1/2 in x 0.316 * [backup-simplify]: Simplify 1/2 into 1/2 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.316 * [backup-simplify]: Simplify 1/2 into 1/2 0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 0.322 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.322 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 0.322 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.322 * [taylor]: Taking taylor expansion of 1/2 in y 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.322 * [taylor]: Taking taylor expansion of (/ y x) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.322 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.322 * [taylor]: Taking taylor expansion of (/ y x) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ y 1) into y 0.322 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [backup-simplify]: Simplify 1/2 into 1/2 0.322 * [taylor]: Taking taylor expansion of (/ y x) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [backup-simplify]: Simplify y into y 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ y 1) into y 0.322 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.323 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 0.323 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.323 * [taylor]: Taking taylor expansion of 1/2 in y 0.323 * [backup-simplify]: Simplify 1/2 into 1/2 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.324 * [backup-simplify]: Simplify 1/2 into 1/2 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.331 * [taylor]: Taking taylor expansion of 1 in y 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 0.335 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 0.335 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.335 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [taylor]: Taking taylor expansion of (/ x y) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [backup-simplify]: Simplify x into x 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ x 1) into x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [backup-simplify]: Simplify x into x 0.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.335 * [taylor]: Taking taylor expansion of 1/2 in x 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [taylor]: Taking taylor expansion of (/ x y) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.335 * [taylor]: Taking taylor expansion of 1/2 in x 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [taylor]: Taking taylor expansion of (/ x y) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [backup-simplify]: Simplify y into y 0.335 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (+ 0 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.338 * [taylor]: Taking taylor expansion of 1/2 in y 0.338 * [backup-simplify]: Simplify 1/2 into 1/2 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.338 * [backup-simplify]: Simplify 1/2 into 1/2 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.342 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 0.342 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.342 * [taylor]: Taking taylor expansion of 1/2 in y 0.342 * [backup-simplify]: Simplify 1/2 into 1/2 0.342 * [taylor]: Taking taylor expansion of (/ x y) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [backup-simplify]: Simplify x into x 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (/ x 1) into x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.343 * [backup-simplify]: Simplify x into x 0.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [taylor]: Taking taylor expansion of (/ x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [backup-simplify]: Simplify y into y 0.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.343 * [taylor]: Taking taylor expansion of 1/2 in x 0.343 * [backup-simplify]: Simplify 1/2 into 1/2 0.343 * [taylor]: Taking taylor expansion of (/ x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [backup-simplify]: Simplify y into y 0.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [backup-simplify]: Simplify (- 1) into -1 0.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.344 * [taylor]: Taking taylor expansion of -1 in y 0.344 * [backup-simplify]: Simplify -1 into -1 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify -1 into -1 0.345 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of 1/2 in y 0.346 * [backup-simplify]: Simplify 1/2 into 1/2 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.346 * [backup-simplify]: Simplify 1/2 into 1/2 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 0.351 * * * [progress]: simplifying candidates 0.352 * [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) (expm1 (+ x (* 1/2 (/ y x)))) (log1p (+ x (* 1/2 (/ y x)))) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.352 * [simplify]: Sending expressions to egg_math: (expm1 (* 1/2 (/ h0 h1))) (log1p (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1)) (+ (log 1/2) (- (log h0) (log h1))) (+ (log 1/2) (log (/ h0 h1))) (log (* 1/2 (/ h0 h1))) (exp (* 1/2 (/ h0 h1))) (* (* (* 1/2 1/2) 1/2) (/ (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* (* 1/2 1/2) 1/2) (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1))) (* (cbrt (* 1/2 (/ h0 h1))) (cbrt (* 1/2 (/ h0 h1)))) (cbrt (* 1/2 (/ h0 h1))) (* (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* 1/2 (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (* 1/2 (sqrt (/ h0 h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) 1)) (* 1/2 (/ (sqrt h0) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (sqrt h0) (sqrt h1))) (* 1/2 (/ (sqrt h0) 1)) (* 1/2 (/ 1 (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ 1 (sqrt h1))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 h0) (* (cbrt 1/2) (/ h0 h1)) (* (sqrt 1/2) (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 h0) (expm1 (+ h1 (* 1/2 (/ h0 h1)))) (log1p (+ h1 (* 1/2 (/ h0 h1)))) (* (exp h1) (exp (* 1/2 (/ h0 h1)))) (log (+ h1 (* 1/2 (/ h0 h1)))) (exp (+ h1 (* 1/2 (/ h0 h1)))) (* (cbrt (+ h1 (* 1/2 (/ h0 h1)))) (cbrt (+ h1 (* 1/2 (/ h0 h1))))) (cbrt (+ h1 (* 1/2 (/ h0 h1)))) (* (* (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1)))) (+ h1 (* 1/2 (/ h0 h1)))) (sqrt (+ h1 (* 1/2 (/ h0 h1)))) (sqrt (+ h1 (* 1/2 (/ h0 h1)))) (+ (pow h1 3) (pow (* 1/2 (/ h0 h1)) 3)) (+ (* h1 h1) (- (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* h1 (* 1/2 (/ h0 h1))))) (- (* h1 h1) (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)))) (- h1 (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) 0.356 * * [simplify]: iteration 0 : 230 enodes (cost 213 ) 0.362 * * [simplify]: iteration 1 : 988 enodes (cost 194 ) 0.384 * * [simplify]: iteration 2 : 4421 enodes (cost 194 ) 0.457 * * [simplify]: iteration 3 : 5001 enodes (cost 194 ) 0.459 * * * [progress]: adding candidates to table 0.557 * * [progress]: iteration 4 / 4 0.557 * * * [progress]: picking best candidate 0.559 * * * * [pick]: Picked # 0.559 * * * [progress]: localizing error 0.567 * * * [progress]: generating rewritten candidates 0.567 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.568 * * * [progress]: generating series expansions 0.568 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.568 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 0.568 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 0.568 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 0.568 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.568 * [taylor]: Taking taylor expansion of 1/2 in x 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [taylor]: Taking taylor expansion of (/ y x) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [backup-simplify]: Simplify y into y 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ y 1) into y 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.568 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.568 * [taylor]: Taking taylor expansion of 1/2 in y 0.568 * [backup-simplify]: Simplify 1/2 into 1/2 0.568 * [taylor]: Taking taylor expansion of (/ y x) in y 0.568 * [taylor]: Taking taylor expansion of y in y 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [taylor]: Taking taylor expansion of x in y 0.568 * [backup-simplify]: Simplify x into x 0.568 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [backup-simplify]: Simplify x into x 0.569 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.569 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.569 * [taylor]: Taking taylor expansion of 1/2 in y 0.569 * [backup-simplify]: Simplify 1/2 into 1/2 0.569 * [taylor]: Taking taylor expansion of (/ y x) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [backup-simplify]: Simplify x into x 0.569 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [backup-simplify]: Simplify x into x 0.569 * [backup-simplify]: Simplify (+ 0 x) into x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.569 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 0.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of 1/2 in x 0.569 * [backup-simplify]: Simplify 1/2 into 1/2 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ 1 1) into 1 0.570 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.570 * [backup-simplify]: Simplify 1/2 into 1/2 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in x 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.575 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [taylor]: Taking taylor expansion of 0 in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 0.576 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 0.576 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 0.576 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 0.576 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.577 * [taylor]: Taking taylor expansion of 1/2 in x 0.577 * [backup-simplify]: Simplify 1/2 into 1/2 0.577 * [taylor]: Taking taylor expansion of (/ x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [backup-simplify]: Simplify y into y 0.577 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ 1 1) into 1 0.577 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.577 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.577 * [taylor]: Taking taylor expansion of 1/2 in y 0.577 * [backup-simplify]: Simplify 1/2 into 1/2 0.577 * [taylor]: Taking taylor expansion of (/ x y) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [backup-simplify]: Simplify x into x 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (/ x 1) into x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [backup-simplify]: Simplify x into x 0.577 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.577 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.578 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.578 * [taylor]: Taking taylor expansion of 1/2 in y 0.578 * [backup-simplify]: Simplify 1/2 into 1/2 0.578 * [taylor]: Taking taylor expansion of (/ x y) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [backup-simplify]: Simplify x into x 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ x 1) into x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [backup-simplify]: Simplify x into x 0.578 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.578 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.578 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.578 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.578 * [taylor]: Taking taylor expansion of 1/2 in x 0.578 * [backup-simplify]: Simplify 1/2 into 1/2 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.579 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [taylor]: Taking taylor expansion of 0 in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.582 * [backup-simplify]: Simplify 1/2 into 1/2 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in x 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 0.589 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 0.589 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 0.589 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 0.590 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.590 * [taylor]: Taking taylor expansion of 1/2 in x 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of (/ x y) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [backup-simplify]: Simplify y into y 0.590 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.590 * [taylor]: Taking taylor expansion of -1 in x 0.590 * [backup-simplify]: Simplify -1 into -1 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ -1 1) into -1 0.590 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.590 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.590 * [taylor]: Taking taylor expansion of 1/2 in y 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of (/ x y) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [backup-simplify]: Simplify x into x 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ x 1) into x 0.590 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.590 * [taylor]: Taking taylor expansion of -1 in y 0.590 * [backup-simplify]: Simplify -1 into -1 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [backup-simplify]: Simplify x into x 0.591 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.591 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.591 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.591 * [taylor]: Taking taylor expansion of 1/2 in y 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.591 * [taylor]: Taking taylor expansion of (/ x y) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [backup-simplify]: Simplify x into x 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ x 1) into x 0.591 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.591 * [taylor]: Taking taylor expansion of -1 in y 0.591 * [backup-simplify]: Simplify -1 into -1 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [backup-simplify]: Simplify x into x 0.591 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.591 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.591 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.591 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.591 * [taylor]: Taking taylor expansion of 1/2 in x 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.592 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.593 * [backup-simplify]: Simplify (- 1) into -1 0.593 * [backup-simplify]: Simplify -1 into -1 0.593 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in x 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.595 * [backup-simplify]: Simplify 1/2 into 1/2 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.598 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 0.603 * * * [progress]: simplifying candidates 0.603 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.603 * [simplify]: Sending expressions to egg_math: (expm1 (fma 1/2 (/ h0 h1) h1)) (log1p (fma 1/2 (/ h0 h1) h1)) (* 1/2 (/ h0 h1)) (log (fma 1/2 (/ h0 h1) h1)) (exp (fma 1/2 (/ h0 h1) h1)) (* (cbrt (fma 1/2 (/ h0 h1) h1)) (cbrt (fma 1/2 (/ h0 h1) h1))) (cbrt (fma 1/2 (/ h0 h1) h1)) (* (* (fma 1/2 (/ h0 h1) h1) (fma 1/2 (/ h0 h1) h1)) (fma 1/2 (/ h0 h1) h1)) (sqrt (fma 1/2 (/ h0 h1) h1)) (sqrt (fma 1/2 (/ h0 h1) h1)) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) 0.606 * * [simplify]: iteration 0 : 21 enodes (cost 44 ) 0.608 * * [simplify]: iteration 1 : 48 enodes (cost 39 ) 0.610 * * [simplify]: iteration 2 : 156 enodes (cost 39 ) 0.613 * * [simplify]: iteration 3 : 585 enodes (cost 39 ) 0.628 * * [simplify]: iteration 4 : 2784 enodes (cost 39 ) 0.680 * * [simplify]: iteration 5 : 5001 enodes (cost 39 ) 0.680 * * * [progress]: adding candidates to table 0.704 * [progress]: [Phase 3 of 3] Extracting. 0.704 * * [regime]: Finding splitpoints for: (# # # #) 0.704 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.704 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.726 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 0.745 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 0.770 * * * * [regimes]: Trying to branch on y from (# # # #) 0.797 * * * * [regimes]: Trying to branch on x from (# # # #) 0.824 * * * [regime]: Found split indices: #