24.755 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.024 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) (* (* h0 h1) h2)) (* h2 h2)) 0.026 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.028 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.029 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.031 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.054 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.054 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of 2.0 in y 0.054 * [backup-simplify]: Simplify 2.0 into 2.0 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of 2.0 in x 0.054 * [backup-simplify]: Simplify 2.0 into 2.0 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of 2.0 in x 0.055 * [backup-simplify]: Simplify 2.0 into 2.0 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [backup-simplify]: Simplify y into y 0.055 * [backup-simplify]: Simplify (* 0 y) into 0 0.055 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.056 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.056 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.056 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.056 * [taylor]: Taking taylor expansion of 2.0 in y 0.056 * [backup-simplify]: Simplify 2.0 into 2.0 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 (* 2.0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.059 * [backup-simplify]: Simplify 2.0 into 2.0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.061 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.064 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.065 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.065 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.065 * [taylor]: Taking taylor expansion of 2.0 in y 0.065 * [backup-simplify]: Simplify 2.0 into 2.0 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.065 * [taylor]: Taking taylor expansion of (* x y) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [backup-simplify]: Simplify x into x 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* x 0) into 0 0.066 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x 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 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.066 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [backup-simplify]: Simplify 2.0 into 2.0 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.066 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.066 * [backup-simplify]: Simplify y into y 0.066 * [backup-simplify]: Simplify (* 0 y) into 0 0.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.067 * [taylor]: Taking taylor expansion of 2.0 in x 0.067 * [backup-simplify]: Simplify 2.0 into 2.0 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.067 * [taylor]: Taking taylor expansion of (* x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (* 0 y) into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.068 * [backup-simplify]: Simplify (+ 1 0) into 1 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.069 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.069 * [taylor]: Taking taylor expansion of 2.0 in y 0.069 * [backup-simplify]: Simplify 2.0 into 2.0 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.070 * [backup-simplify]: Simplify 2.0 into 2.0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.080 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.080 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [backup-simplify]: Simplify 2.0 into 2.0 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* x 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x 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 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [backup-simplify]: Simplify 2.0 into 2.0 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (* 0 y) into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.082 * [taylor]: Taking taylor expansion of 2.0 in x 0.082 * [backup-simplify]: Simplify 2.0 into 2.0 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.082 * [taylor]: Taking taylor expansion of (* x y) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [backup-simplify]: Simplify y into y 0.082 * [backup-simplify]: Simplify (* 0 y) into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.084 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [backup-simplify]: Simplify 2.0 into 2.0 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.084 * [backup-simplify]: Simplify 2.0 into 2.0 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) 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 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.094 * * * [progress]: simplifying candidates 0.095 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.095 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (exp (* (* h0 h1) h2))) (log (+ (* h0 h0) (* (* h0 h1) h2))) (exp (+ (* h0 h0) (* (* h0 h1) h2))) (* (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2)))) (cbrt (+ (* h0 h0) (* (* h0 h1) h2))) (* (* (+ (* h0 h0) (* (* h0 h1) h2)) (+ (* h0 h0) (* (* h0 h1) h2))) (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (sqrt (+ (* h0 h0) (* (* h0 h1) h2))) (+ (pow (* h0 h0) 3) (pow (* (* h0 h1) h2) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h0) (* (* h0 h1) h2)))) (- (* (* h0 h0) (* h0 h0)) (* (* (* h0 h1) h2) (* (* h0 h1) h2))) (- (* h0 h0) (* (* h0 h1) h2)) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.098 * * [simplify]: iteration 0 : 107 enodes (cost 97 ) 0.102 * * [simplify]: iteration 1 : 562 enodes (cost 82 ) 0.116 * * [simplify]: iteration 2 : 2682 enodes (cost 76 ) 0.191 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.192 * * * [progress]: adding candidates to table 0.221 * * [progress]: iteration 2 / 4 0.221 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.256 * [backup-simplify]: Simplify (* x (+ (* 2.0 y) x)) into (* x (+ x (* 2.0 y))) 0.256 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.256 * [taylor]: Taking taylor expansion of 2.0 in y 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.256 * [taylor]: Taking taylor expansion of 2.0 in x 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [backup-simplify]: Simplify y into y 0.256 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.256 * [taylor]: Taking taylor expansion of 2.0 in x 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [backup-simplify]: Simplify y into y 0.257 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 0.257 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.257 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.258 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.258 * [taylor]: Taking taylor expansion of 2.0 in y 0.258 * [backup-simplify]: Simplify 2.0 into 2.0 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.259 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.260 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.265 * [backup-simplify]: Simplify (* (/ 1 x) (+ (* 2.0 (/ 1 y)) (/ 1 x))) into (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) 0.265 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.265 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of 2.0 in y 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [backup-simplify]: Simplify x into x 0.265 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [backup-simplify]: Simplify x into x 0.266 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.266 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.266 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.266 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.266 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of 2.0 in x 0.266 * [backup-simplify]: Simplify 2.0 into 2.0 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (+ 0 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.267 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.267 * [taylor]: Taking taylor expansion of 2.0 in x 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ 0 1) into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.269 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.269 * [taylor]: Taking taylor expansion of 2.0 in y 0.269 * [backup-simplify]: Simplify 2.0 into 2.0 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.270 * [backup-simplify]: Simplify 2.0 into 2.0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.282 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (* 2.0 (/ 1 (- y))) (/ 1 (- x)))) into (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) 0.282 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.282 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.282 * [taylor]: Taking taylor expansion of 2.0 in y 0.282 * [backup-simplify]: Simplify 2.0 into 2.0 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.283 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.283 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.284 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.284 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.284 * [backup-simplify]: Simplify 2.0 into 2.0 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (+ 0 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.285 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.285 * [taylor]: Taking taylor expansion of 2.0 in x 0.285 * [backup-simplify]: Simplify 2.0 into 2.0 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [backup-simplify]: Simplify y into y 0.285 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.286 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of 2.0 in y 0.287 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.287 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.297 * * * [progress]: simplifying candidates 0.297 * [simplify]: Simplifying: (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.297 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 h2) h0)) (+ (log h0) (log (+ (* h1 h2) h0))) (log (* h0 (+ (* h1 h2) h0))) (exp (* h0 (+ (* h1 h2) h0))) (* (* (* h0 h0) h0) (* (* (+ (* h1 h2) h0) (+ (* h1 h2) h0)) (+ (* h1 h2) h0))) (* (cbrt (* h0 (+ (* h1 h2) h0))) (cbrt (* h0 (+ (* h1 h2) h0)))) (cbrt (* h0 (+ (* h1 h2) h0))) (* (* (* h0 (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0))) (* h0 (+ (* h1 h2) h0))) (sqrt (* h0 (+ (* h1 h2) h0))) (sqrt (* h0 (+ (* h1 h2) h0))) (* (sqrt h0) (sqrt (+ (* h1 h2) h0))) (* (sqrt h0) (sqrt (+ (* h1 h2) h0))) (* h0 (* h1 h2)) (* h0 h0) (* (* h1 h2) h0) (* h0 h0) (* h0 (* (cbrt (+ (* h1 h2) h0)) (cbrt (+ (* h1 h2) h0)))) (* h0 (sqrt (+ (* h1 h2) h0))) (* h0 1) (* (cbrt h0) (+ (* h1 h2) h0)) (* (sqrt h0) (+ (* h1 h2) h0)) (* h0 (+ (* h1 h2) h0)) (* h0 (+ (pow (* h1 h2) 3) (pow h0 3))) (* h0 (- (* (* h1 h2) (* h1 h2)) (* h0 h0))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.301 * * [simplify]: iteration 0 : 146 enodes (cost 116 ) 0.305 * * [simplify]: iteration 1 : 717 enodes (cost 103 ) 0.323 * * [simplify]: iteration 2 : 3658 enodes (cost 103 ) 0.408 * * [simplify]: iteration 3 : 5002 enodes (cost 103 ) 0.409 * * * [progress]: adding candidates to table 0.450 * * [progress]: iteration 3 / 4 0.450 * * * [progress]: picking best candidate 0.452 * * * * [pick]: Picked # 0.452 * * * [progress]: localizing error 0.461 * * * [progress]: generating rewritten candidates 0.461 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.480 * * * [progress]: generating series expansions 0.480 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.481 * [backup-simplify]: Simplify (+ (* x (* 2.0 y)) (pow x 2)) into (+ (pow x 2) (* 2.0 (* x y))) 0.481 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.481 * [taylor]: Taking taylor expansion of 2.0 in y 0.481 * [backup-simplify]: Simplify 2.0 into 2.0 0.481 * [taylor]: Taking taylor expansion of (* x y) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [backup-simplify]: Simplify x into x 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.481 * [taylor]: Taking taylor expansion of 2.0 in x 0.481 * [backup-simplify]: Simplify 2.0 into 2.0 0.481 * [taylor]: Taking taylor expansion of (* x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [backup-simplify]: Simplify y into y 0.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.481 * [taylor]: Taking taylor expansion of 2.0 in x 0.481 * [backup-simplify]: Simplify 2.0 into 2.0 0.481 * [taylor]: Taking taylor expansion of (* x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [backup-simplify]: Simplify y into y 0.481 * [backup-simplify]: Simplify (* 0 y) into 0 0.482 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.483 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.483 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.483 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.483 * [taylor]: Taking taylor expansion of 2.0 in y 0.483 * [backup-simplify]: Simplify 2.0 into 2.0 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [taylor]: Taking taylor expansion of 1 in y 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.486 * [backup-simplify]: Simplify 2.0 into 2.0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.491 * [backup-simplify]: Simplify (+ (* (/ 1 x) (* 2.0 (/ 1 y))) (pow (/ 1 x) 2)) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.491 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [backup-simplify]: Simplify x into x 0.491 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.491 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.491 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.491 * [taylor]: Taking taylor expansion of 2.0 in y 0.491 * [backup-simplify]: Simplify 2.0 into 2.0 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.491 * [taylor]: Taking taylor expansion of (* x y) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.492 * [backup-simplify]: Simplify x into x 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* x 0) into 0 0.492 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.492 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.492 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ 1 1) into 1 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.493 * [taylor]: Taking taylor expansion of 2.0 in x 0.493 * [backup-simplify]: Simplify 2.0 into 2.0 0.493 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.493 * [taylor]: Taking taylor expansion of (* x y) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [backup-simplify]: Simplify y into y 0.493 * [backup-simplify]: Simplify (* 0 y) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.493 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.494 * [taylor]: Taking taylor expansion of 2.0 in x 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.494 * [taylor]: Taking taylor expansion of (* x y) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [backup-simplify]: Simplify y into y 0.494 * [backup-simplify]: Simplify (* 0 y) into 0 0.494 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.494 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.495 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.495 * [taylor]: Taking taylor expansion of 2.0 in y 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.496 * [backup-simplify]: Simplify 2.0 into 2.0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.506 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (* 2.0 (/ 1 (- y)))) (pow (/ 1 (- x)) 2)) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.506 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [backup-simplify]: Simplify x into x 0.506 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.507 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.507 * [taylor]: Taking taylor expansion of 2.0 in y 0.507 * [backup-simplify]: Simplify 2.0 into 2.0 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.507 * [taylor]: Taking taylor expansion of (* x y) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [backup-simplify]: Simplify x into x 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* x 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.507 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ 1 1) into 1 0.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.508 * [taylor]: Taking taylor expansion of 2.0 in x 0.508 * [backup-simplify]: Simplify 2.0 into 2.0 0.508 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.508 * [taylor]: Taking taylor expansion of (* x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [backup-simplify]: Simplify y into y 0.508 * [backup-simplify]: Simplify (* 0 y) into 0 0.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.509 * [taylor]: Taking taylor expansion of 2.0 in x 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.509 * [taylor]: Taking taylor expansion of (* x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [backup-simplify]: Simplify y into y 0.509 * [backup-simplify]: Simplify (* 0 y) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.509 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.509 * [backup-simplify]: Simplify (+ 1 0) into 1 0.509 * [taylor]: Taking taylor expansion of 1 in y 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.510 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.510 * [taylor]: Taking taylor expansion of 2.0 in y 0.510 * [backup-simplify]: Simplify 2.0 into 2.0 0.510 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (/ 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.511 * [backup-simplify]: Simplify 2.0 into 2.0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.524 * * * [progress]: simplifying candidates 0.524 * [simplify]: Simplifying: (* (exp (* x (* 2.0 y))) (exp (pow x 2))) (log (+ (* x (* 2.0 y)) (pow x 2))) (exp (+ (* x (* 2.0 y)) (pow x 2))) (* (cbrt (+ (* x (* 2.0 y)) (pow x 2))) (cbrt (+ (* x (* 2.0 y)) (pow x 2)))) (cbrt (+ (* x (* 2.0 y)) (pow x 2))) (* (* (+ (* x (* 2.0 y)) (pow x 2)) (+ (* x (* 2.0 y)) (pow x 2))) (+ (* x (* 2.0 y)) (pow x 2))) (sqrt (+ (* x (* 2.0 y)) (pow x 2))) (sqrt (+ (* x (* 2.0 y)) (pow x 2))) (+ (pow (* x (* 2.0 y)) 3) (pow (pow x 2) 3)) (+ (* (* x (* 2.0 y)) (* x (* 2.0 y))) (- (* (pow x 2) (pow x 2)) (* (* x (* 2.0 y)) (pow x 2)))) (- (* (* x (* 2.0 y)) (* x (* 2.0 y))) (* (pow x 2) (pow x 2))) (- (* x (* 2.0 y)) (pow x 2)) (+ (* 2.0 y) x) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.524 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 (* h1 h2))) (exp (pow h0 2))) (log (+ (* h0 (* h1 h2)) (pow h0 2))) (exp (+ (* h0 (* h1 h2)) (pow h0 2))) (* (cbrt (+ (* h0 (* h1 h2)) (pow h0 2))) (cbrt (+ (* h0 (* h1 h2)) (pow h0 2)))) (cbrt (+ (* h0 (* h1 h2)) (pow h0 2))) (* (* (+ (* h0 (* h1 h2)) (pow h0 2)) (+ (* h0 (* h1 h2)) (pow h0 2))) (+ (* h0 (* h1 h2)) (pow h0 2))) (sqrt (+ (* h0 (* h1 h2)) (pow h0 2))) (sqrt (+ (* h0 (* h1 h2)) (pow h0 2))) (+ (pow (* h0 (* h1 h2)) 3) (pow (pow h0 2) 3)) (+ (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (- (* (pow h0 2) (pow h0 2)) (* (* h0 (* h1 h2)) (pow h0 2)))) (- (* (* h0 (* h1 h2)) (* h0 (* h1 h2))) (* (pow h0 2) (pow h0 2))) (- (* h0 (* h1 h2)) (pow h0 2)) (+ (* h1 h2) h0) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) (+ (pow h0 2) (* h1 (* h0 h2))) 0.528 * * [simplify]: iteration 0 : 100 enodes (cost 99 ) 0.531 * * [simplify]: iteration 1 : 386 enodes (cost 83 ) 0.542 * * [simplify]: iteration 2 : 1840 enodes (cost 78 ) 0.604 * * [simplify]: iteration 3 : 5002 enodes (cost 78 ) 0.605 * * * [progress]: adding candidates to table 0.630 * [progress]: [Phase 3 of 3] Extracting. 0.630 * * [regime]: Finding splitpoints for: (# #) 0.631 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.631 * * * * [regimes]: Trying to branch on y from (# #) 0.641 * * * * [regimes]: Trying to branch on x from (# #) 0.654 * * * [regime]: Found split indices: #