11.638 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (* 2.0 (- (* x x) (* x y))) 0.019 * [simplify]: Sending expressions to egg_math: (* h2 (- (* h1 h1) (* h1 h0))) 0.021 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 92 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 100 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 100 enodes (cost 3 ) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.069 * [backup-simplify]: Simplify (* 2.0 (- (* x x) (* x y))) into (* 2.0 (- (pow x 2) (* x y))) 0.069 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x 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 (- (pow x 2) (* x y)) in y 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 0.069 * [taylor]: Taking taylor expansion of (* x y) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.069 * [taylor]: Taking taylor expansion of 2.0 in x 0.069 * [backup-simplify]: Simplify 2.0 into 2.0 0.069 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of (* x y) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.069 * [taylor]: Taking taylor expansion of 2.0 in x 0.070 * [backup-simplify]: Simplify 2.0 into 2.0 0.070 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of (* x y) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (* 0 y) into 0 0.070 * [backup-simplify]: Simplify (- 0) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.071 * [backup-simplify]: Simplify (- y) into (- y) 0.071 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.071 * [backup-simplify]: Simplify (+ (* 2.0 (- y)) (* 0 0)) into (- (* 2.0 y)) 0.071 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.071 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.071 * [taylor]: Taking taylor expansion of 2.0 in y 0.071 * [backup-simplify]: Simplify 2.0 into 2.0 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 0.072 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.072 * [backup-simplify]: Simplify (- 0) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.073 * [backup-simplify]: Simplify (- 0) into 0 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (+ (* 2.0 1) (+ (* 0 (- y)) (* 0 0))) into 2.0 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [backup-simplify]: Simplify 2.0 into 2.0 0.073 * [backup-simplify]: Simplify 2.0 into 2.0 0.074 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.074 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.075 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.076 * [backup-simplify]: Simplify (- 0) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (+ (* 0 (- y)) (* 0 0)))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.078 * [backup-simplify]: Simplify (- 0) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 (- y)) (* 0 0))))) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* (- 2.0) (* y x)) (* 2.0 (pow (* 1 x) 2))) into (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.081 * [backup-simplify]: Simplify (* 2.0 (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y)))) into (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) 0.081 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.081 * [taylor]: Taking taylor expansion of 2.0 in y 0.081 * [backup-simplify]: Simplify 2.0 into 2.0 0.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.081 * [taylor]: Taking taylor expansion of (* x y) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* x 0) into 0 0.082 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.082 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 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 (pow x 2)) (/ 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 (/ 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 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [backup-simplify]: Simplify 2.0 into 2.0 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x 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 (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (* 0 y) into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [backup-simplify]: Simplify 2.0 into 2.0 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 (- (/ 1 y)) into (- (/ 1 y)) 0.085 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.085 * [backup-simplify]: Simplify (+ (* 2.0 (- (/ 1 y))) (* 0 1)) into (- (* 2.0 (/ 1 y))) 0.085 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [backup-simplify]: Simplify 2.0 into 2.0 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.086 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.086 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.086 * [backup-simplify]: Simplify 2.0 into 2.0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 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 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) 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 (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (- 0) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))))) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 2.0) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.098 * [backup-simplify]: Simplify (* 2.0 (- (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y))))) into (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) 0.098 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [backup-simplify]: Simplify 2.0 into 2.0 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.098 * [taylor]: Taking taylor expansion of (* x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* x 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.099 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [backup-simplify]: Simplify 2.0 into 2.0 0.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (* 0 y) into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [backup-simplify]: Simplify 2.0 into 2.0 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.100 * [taylor]: Taking taylor expansion of (* x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (* 0 y) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.101 * [taylor]: Taking taylor expansion of 2.0 in y 0.101 * [backup-simplify]: Simplify 2.0 into 2.0 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.102 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.102 * [backup-simplify]: Simplify (+ (* 2.0 (- (/ 1 y))) (* 0 1)) into (- (* 2.0 (/ 1 y))) 0.102 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [backup-simplify]: Simplify 2.0 into 2.0 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.103 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.103 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.103 * [backup-simplify]: Simplify 2.0 into 2.0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) 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 0 into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 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 0.114 * [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 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))))) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 2.0) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.117 * * * [progress]: simplifying candidates 0.118 * [simplify]: Simplifying: (* 2.0 (- (* x x) (* x y))) (+ (log 2.0) (log (- (* x x) (* x y)))) (log (* 2.0 (- (* x x) (* x y)))) (exp (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y)))) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y)))) (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* 2.0 (* x x)) (* 2.0 (- (* x y))) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* (* x x) 2.0) (* (- (* x y)) 2.0) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (- (* x x) (* x y))) (* (sqrt 2.0) (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.118 * [simplify]: Sending expressions to egg_math: (* h2 (- (* h1 h1) (* h1 h0))) (+ (log h2) (log (- (* h1 h1) (* h1 h0)))) (log (* h2 (- (* h1 h1) (* h1 h0)))) (exp (* h2 (- (* h1 h1) (* h1 h0)))) (* (* (* h2 h2) h2) (* (* (- (* h1 h1) (* h1 h0)) (- (* h1 h1) (* h1 h0))) (- (* h1 h1) (* h1 h0)))) (* (cbrt (* h2 (- (* h1 h1) (* h1 h0)))) (cbrt (* h2 (- (* h1 h1) (* h1 h0))))) (cbrt (* h2 (- (* h1 h1) (* h1 h0)))) (* (* (* h2 (- (* h1 h1) (* h1 h0))) (* h2 (- (* h1 h1) (* h1 h0)))) (* h2 (- (* h1 h1) (* h1 h0)))) (sqrt (* h2 (- (* h1 h1) (* h1 h0)))) (sqrt (* h2 (- (* h1 h1) (* h1 h0)))) (* (sqrt h2) (sqrt (- (* h1 h1) (* h1 h0)))) (* (sqrt h2) (sqrt (- (* h1 h1) (* h1 h0)))) (* h2 (* h1 h1)) (* h2 (- (* h1 h0))) (* h2 (* h1 h1)) (* h2 (- (* h1 h0))) (* (* h1 h1) h2) (* (- (* h1 h0)) h2) (* (* h1 h1) h2) (* (- (* h1 h0)) h2) (* h2 (* (cbrt (- (* h1 h1) (* h1 h0))) (cbrt (- (* h1 h1) (* h1 h0))))) (* h2 (sqrt (- (* h1 h1) (* h1 h0)))) (* h2 1) (* h2 h1) (* (cbrt h2) (- (* h1 h1) (* h1 h0))) (* (sqrt h2) (- (* h1 h1) (* h1 h0))) (* h2 (- (* h1 h1) (* h1 h0))) (* h2 (- (pow (* h1 h1) 3) (pow (* h1 h0) 3))) (* h2 (- (* (* h1 h1) (* h1 h1)) (* (* h1 h0) (* h1 h0)))) (- (* h2 (pow h1 2)) (* h2 (* h1 h0))) (- (* h2 (pow h1 2)) (* h2 (* h1 h0))) (- (* h2 (pow h1 2)) (* h2 (* h1 h0))) 0.121 * * [simplify]: iteration 0 : 137 enodes (cost 151 ) 0.124 * * [simplify]: iteration 1 : 657 enodes (cost 131 ) 0.140 * * [simplify]: iteration 2 : 3977 enodes (cost 129 ) 0.234 * * [simplify]: iteration 3 : 5002 enodes (cost 129 ) 0.235 * * * [progress]: adding candidates to table 0.277 * * [progress]: iteration 2 / 4 0.277 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.282 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.311 * * * [progress]: generating series expansions 0.311 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.311 * [backup-simplify]: Simplify (* (* 2.0 x) (- x y)) into (* 2.0 (* x (- x y))) 0.311 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.311 * [taylor]: Taking taylor expansion of 2.0 in y 0.311 * [backup-simplify]: Simplify 2.0 into 2.0 0.311 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [taylor]: Taking taylor expansion of (- x y) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.312 * [taylor]: Taking taylor expansion of 2.0 in x 0.312 * [backup-simplify]: Simplify 2.0 into 2.0 0.312 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (- x y) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [backup-simplify]: Simplify y into y 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.312 * [taylor]: Taking taylor expansion of 2.0 in x 0.312 * [backup-simplify]: Simplify 2.0 into 2.0 0.312 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (- x y) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of y in x 0.312 * [backup-simplify]: Simplify y into y 0.312 * [backup-simplify]: Simplify (- y) into (- y) 0.312 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.312 * [backup-simplify]: Simplify (* 0 (- y)) into 0 0.312 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in y 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 0) into 1 0.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (- y))) into (- y) 0.313 * [backup-simplify]: Simplify (+ (* 2.0 (- y)) (* 0 0)) into (- (* 2.0 y)) 0.313 * [taylor]: Taking taylor expansion of (- (* 2.0 y)) in y 0.313 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.313 * [taylor]: Taking taylor expansion of 2.0 in y 0.314 * [backup-simplify]: Simplify 2.0 into 2.0 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.315 * [backup-simplify]: Simplify (+ (* 2.0 1) (+ (* 0 (- y)) (* 0 0))) into 2.0 0.315 * [taylor]: Taking taylor expansion of 2.0 in y 0.315 * [backup-simplify]: Simplify 2.0 into 2.0 0.315 * [backup-simplify]: Simplify 2.0 into 2.0 0.316 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.316 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.317 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (+ (* 0 (- y)) (* 0 0)))) into 0 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 (- y)) (* 0 0))))) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ (* (- 2.0) (* y x)) (* 2.0 (pow (* 1 x) 2))) into (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.322 * [backup-simplify]: Simplify (* (* 2.0 (/ 1 x)) (- (/ 1 x) (/ 1 y))) into (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) 0.322 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.322 * [taylor]: Taking taylor expansion of 2.0 in y 0.322 * [backup-simplify]: Simplify 2.0 into 2.0 0.322 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 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 (/ 1 y) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [backup-simplify]: Simplify x into x 0.323 * [backup-simplify]: Simplify (- 1) into -1 0.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.323 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.323 * [taylor]: Taking taylor expansion of 2.0 in x 0.323 * [backup-simplify]: Simplify 2.0 into 2.0 0.323 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [backup-simplify]: Simplify y into y 0.323 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.324 * [taylor]: Taking taylor expansion of 2.0 in x 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.325 * [taylor]: Taking taylor expansion of 2.0 in y 0.325 * [backup-simplify]: Simplify 2.0 into 2.0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.326 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.326 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (- (/ 1 y)) 0.326 * [backup-simplify]: Simplify (+ (* 2.0 (- (/ 1 y))) (* 0 1)) into (- (* 2.0 (/ 1 y))) 0.326 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [backup-simplify]: Simplify 2.0 into 2.0 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.327 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.327 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.327 * [backup-simplify]: Simplify 2.0 into 2.0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1)))) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 y))) (* 0 1))))) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 2.0) (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.339 * [backup-simplify]: Simplify (* (* 2.0 (/ 1 (- x))) (- (/ 1 (- x)) (/ 1 (- y)))) into (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) 0.339 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.339 * [taylor]: Taking taylor expansion of -2.0 in y 0.339 * [backup-simplify]: Simplify -2.0 into -2.0 0.339 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [backup-simplify]: Simplify x into x 0.339 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [backup-simplify]: Simplify x into x 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.339 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.339 * [taylor]: Taking taylor expansion of -2.0 in x 0.339 * [backup-simplify]: Simplify -2.0 into -2.0 0.339 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [backup-simplify]: Simplify y into y 0.340 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (- 1) into -1 0.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.340 * [backup-simplify]: Simplify (/ -1 1) into -1 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.341 * [taylor]: Taking taylor expansion of -2.0 in x 0.341 * [backup-simplify]: Simplify -2.0 into -2.0 0.341 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [backup-simplify]: Simplify y into y 0.341 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (- 1) into -1 0.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.342 * [backup-simplify]: Simplify (/ -1 1) into -1 0.342 * [backup-simplify]: Simplify (* -2.0 -1) into 2.0 0.342 * [taylor]: Taking taylor expansion of 2.0 in y 0.342 * [backup-simplify]: Simplify 2.0 into 2.0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.345 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* -1 (/ 0 1)))) into (/ 1 y) 0.346 * [backup-simplify]: Simplify (+ (* -2.0 (/ 1 y)) (* 0 -1)) into (- (* 2.0 (/ 1 y))) 0.346 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of 2.0 in y 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 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 (* 2.0 1) into 2.0 0.346 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.347 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.347 * [backup-simplify]: Simplify 2.0 into 2.0 0.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (/ 1 y)) (* 0 -1))) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- 0) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 2.0) (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.358 * * * [progress]: simplifying candidates 0.358 * [simplify]: Simplifying: (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y)) (+ (+ (log 2.0) (log x)) (log (- x y))) (+ (log (* 2.0 x)) (log (- x y))) (log (* (* 2.0 x) (- x y))) (exp (* (* 2.0 x) (- x y))) (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (- x y) (- x y)) (- x y))) (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (* 2.0 x) (- x y))) (cbrt (* (* 2.0 x) (- x y)))) (cbrt (* (* 2.0 x) (- x y))) (* (* (* (* 2.0 x) (- x y)) (* (* 2.0 x) (- x y))) (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* (* 2.0 x) x) (* (* 2.0 x) (- y)) (* x (* 2.0 x)) (* (- y) (* 2.0 x)) (* x (* 2.0 x)) (* (- y) (* 2.0 x)) (* (* 2.0 x) (* (cbrt (- x y)) (cbrt (- x y)))) (* (* 2.0 x) (sqrt (- x y))) (* (* 2.0 x) 1) (* (* 2.0 x) (+ (sqrt x) (sqrt y))) (* (* 2.0 x) 1) (* x (- x y)) (* (* 2.0 x) (- (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.358 * [simplify]: Sending expressions to egg_math: (* (* h2 h1) (- h1 h0)) (* (* h2 h1) (- h1 h0)) (+ (+ (log h2) (log h1)) (log (- h1 h0))) (+ (log (* h2 h1)) (log (- h1 h0))) (log (* (* h2 h1) (- h1 h0))) (exp (* (* h2 h1) (- h1 h0))) (* (* (* (* h2 h2) h2) (* (* h1 h1) h1)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (* (* (* h2 h1) (* h2 h1)) (* h2 h1)) (* (* (- h1 h0) (- h1 h0)) (- h1 h0))) (* (cbrt (* (* h2 h1) (- h1 h0))) (cbrt (* (* h2 h1) (- h1 h0)))) (cbrt (* (* h2 h1) (- h1 h0))) (* (* (* (* h2 h1) (- h1 h0)) (* (* h2 h1) (- h1 h0))) (* (* h2 h1) (- h1 h0))) (sqrt (* (* h2 h1) (- h1 h0))) (sqrt (* (* h2 h1) (- h1 h0))) (* (* h2 h1) h1) (* (* h2 h1) (- h0)) (* (* h2 h1) h1) (* (* h2 h1) (- h0)) (* h1 (* h2 h1)) (* (- h0) (* h2 h1)) (* h1 (* h2 h1)) (* (- h0) (* h2 h1)) (* (* h2 h1) (* (cbrt (- h1 h0)) (cbrt (- h1 h0)))) (* (* h2 h1) (sqrt (- h1 h0))) (* (* h2 h1) 1) (* (* h2 h1) (+ (sqrt h1) (sqrt h0))) (* (* h2 h1) 1) (* h1 (- h1 h0)) (* (* h2 h1) (- (pow h1 3) (pow h0 3))) (* (* h2 h1) (- (* h1 h1) (* h0 h0))) (- (* h2 (pow h1 2)) (* h2 (* h1 h0))) (- (* h2 (pow h1 2)) (* h2 (* h1 h0))) (- (* h2 (pow h1 2)) (* h2 (* h1 h0))) 0.361 * * [simplify]: iteration 0 : 171 enodes (cost 137 ) 0.365 * * [simplify]: iteration 1 : 836 enodes (cost 114 ) 0.385 * * [simplify]: iteration 2 : 5001 enodes (cost 114 ) 0.386 * * * [progress]: adding candidates to table 0.415 * [progress]: [Phase 3 of 3] Extracting. 0.416 * * [regime]: Finding splitpoints for: (# #) 0.416 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 0.416 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# #) 0.428 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# #) 0.438 * * * * [regimes]: Trying to branch on y from (# #) 0.448 * * * * [regimes]: Trying to branch on x from (# #) 0.460 * * * [regime]: Found split indices: #