4.486 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.015 * [simplify]: Sending expressions to egg_math: (- h0 (/ h1 (+ h2 (/ (* h0 h1) h3)))) 0.017 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.018 * * [simplify]: iteration 1 : 22 enodes (cost 5 ) 0.020 * * [simplify]: iteration 2 : 25 enodes (cost 5 ) 0.021 * * [simplify]: iteration 3 : 26 enodes (cost 5 ) 0.022 * * [simplify]: iteration 4 : 26 enodes (cost 5 ) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.049 * [backup-simplify]: Simplify (/ y (+ 1.0 (/ (* x y) 2.0))) into (/ y (+ (* 0.5 (* x y)) 1.0)) 0.049 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.049 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of 0.5 in x 0.049 * [backup-simplify]: Simplify 0.5 into 0.5 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [backup-simplify]: Simplify y into y 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [backup-simplify]: Simplify (* 0 y) into 0 0.049 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.050 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 0.050 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.050 * [taylor]: Taking taylor expansion of 0.5 in y 0.050 * [backup-simplify]: Simplify 0.5 into 0.5 0.050 * [taylor]: Taking taylor expansion of (* x y) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [backup-simplify]: Simplify x into x 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [backup-simplify]: Simplify 1.0 into 1.0 0.050 * [backup-simplify]: Simplify (* x 0) into 0 0.050 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.050 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.051 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.051 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.051 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.051 * [taylor]: Taking taylor expansion of 0.5 in y 0.051 * [backup-simplify]: Simplify 0.5 into 0.5 0.051 * [taylor]: Taking taylor expansion of (* x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [backup-simplify]: Simplify 1.0 into 1.0 0.051 * [backup-simplify]: Simplify (* x 0) into 0 0.051 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.051 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.052 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [backup-simplify]: Simplify 1.0 into 1.0 0.052 * [backup-simplify]: Simplify 1.0 into 1.0 0.052 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.053 * [backup-simplify]: Simplify (+ (* 0.5 x) (* 0 0)) into (* 0.5 x) 0.053 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 0.053 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (* 0.5 x) 1.0)))) into (- (* 0.5 x)) 0.053 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.053 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [backup-simplify]: Simplify 0.5 into 0.5 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.054 * [backup-simplify]: Simplify (- 0) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 x) (* 0 0))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ (* 0.5 x) 1.0)))) into (* 0.25 (pow x 2)) 0.055 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.055 * [taylor]: Taking taylor expansion of 0.25 in x 0.055 * [backup-simplify]: Simplify 0.25 into 0.25 0.055 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.056 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.056 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.057 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ 0 1.0)) (* (* 0.25 (pow x 2)) (/ (* 0.5 x) 1.0)))) into (- (* 0.125 (pow x 3))) 0.059 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.059 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.059 * [taylor]: Taking taylor expansion of 0.125 in x 0.059 * [backup-simplify]: Simplify 0.125 into 0.125 0.059 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.060 * [backup-simplify]: Simplify (- 0) into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ 0 1.0)) (* (* 0.25 (pow x 2)) (/ 0 1.0)) (* (- (* 0.125 (pow x 3))) (/ (* 0.5 x) 1.0)))) into (* 0.0625 (pow x 4)) 0.063 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.063 * [taylor]: Taking taylor expansion of 0.0625 in x 0.063 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.063 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.063 * [backup-simplify]: Simplify 0.25 into 0.25 0.064 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow x 2) (pow y 3))) (+ (* (- 0.5) (* x (pow y 2))) (* 1.0 (* 1 y)))) into (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) 0.064 * [backup-simplify]: Simplify (/ (/ 1 y) (+ 1.0 (/ (* (/ 1 x) (/ 1 y)) 2.0))) into (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.064 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.064 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.064 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [backup-simplify]: Simplify 0.5 into 0.5 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (* 0 y) into 0 0.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [backup-simplify]: Simplify 1.0 into 1.0 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.065 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.065 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.065 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.065 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [backup-simplify]: Simplify 0.5 into 0.5 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 1.0 in y 0.066 * [backup-simplify]: Simplify 1.0 into 1.0 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.066 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.066 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.066 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.067 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.067 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.067 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.067 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.067 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [backup-simplify]: Simplify 0.5 into 0.5 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.067 * [taylor]: Taking taylor expansion of (* x y) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* x 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [backup-simplify]: Simplify 1.0 into 1.0 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.068 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.068 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.069 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.069 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 0.069 * [taylor]: Taking taylor expansion of (* 2.0 x) 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 x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.070 * [backup-simplify]: Simplify 2.0 into 2.0 0.071 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.072 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 4.0 (pow x 2))) 0.072 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.072 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of 4.0 in x 0.073 * [backup-simplify]: Simplify 4.0 into 4.0 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 1) (* 0 0)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 4.0 (pow x 2))) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 8.0 (pow x 3)) 0.075 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.075 * [taylor]: Taking taylor expansion of 8.0 in x 0.075 * [backup-simplify]: Simplify 8.0 into 8.0 0.075 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.076 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.076 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 4.0 (pow x 2))) (/ 0 (* 0.5 (/ 1 x)))) (* (* 8.0 (pow x 3)) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 16.0 (pow x 4))) 0.080 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.080 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.080 * [taylor]: Taking taylor expansion of 16.0 in x 0.080 * [backup-simplify]: Simplify 16.0 into 16.0 0.080 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 4.0 (pow x 2))) (/ 0 (* 0.5 (/ 1 x)))) (* (* 8.0 (pow x 3)) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 16.0 (pow x 4))) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 32.0 (pow x 5)) 0.085 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.085 * [taylor]: Taking taylor expansion of 32.0 in x 0.085 * [backup-simplify]: Simplify 32.0 into 32.0 0.085 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.086 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.086 * [backup-simplify]: Simplify 8.0 into 8.0 0.086 * [backup-simplify]: Simplify (+ (* 8.0 (* (pow (/ 1 x) 3) (pow (/ 1 y) 2))) (+ (* (- 4.0) (* (pow (/ 1 x) 2) (/ 1 y))) (* 2.0 (* (/ 1 x) 1)))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.086 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (+ 1.0 (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0))) into (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.086 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.087 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.087 * [taylor]: Taking taylor expansion of -1 in x 0.087 * [backup-simplify]: Simplify -1 into -1 0.087 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.087 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.087 * [taylor]: Taking taylor expansion of 0.5 in x 0.087 * [backup-simplify]: Simplify 0.5 into 0.5 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.087 * [taylor]: Taking taylor expansion of (* x y) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* 0 y) into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.087 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.087 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.088 * [backup-simplify]: Simplify (/ -1 0.5) into -2.0 0.088 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.088 * [taylor]: Taking taylor expansion of -1 in y 0.088 * [backup-simplify]: Simplify -1 into -1 0.088 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.088 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.088 * [taylor]: Taking taylor expansion of 0.5 in y 0.088 * [backup-simplify]: Simplify 0.5 into 0.5 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of (* x y) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* x 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.088 * [taylor]: Taking taylor expansion of 1.0 in y 0.088 * [backup-simplify]: Simplify 1.0 into 1.0 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.088 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.088 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.089 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.090 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.090 * [backup-simplify]: Simplify (/ -1 (* 0.5 (/ 1 x))) into (* -2.0 x) 0.090 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.090 * [taylor]: Taking taylor expansion of -1 in y 0.090 * [backup-simplify]: Simplify -1 into -1 0.090 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.090 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.090 * [taylor]: Taking taylor expansion of 0.5 in y 0.090 * [backup-simplify]: Simplify 0.5 into 0.5 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.090 * [taylor]: Taking taylor expansion of (* x y) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* x 0) into 0 0.090 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.090 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.090 * [taylor]: Taking taylor expansion of 1.0 in y 0.090 * [backup-simplify]: Simplify 1.0 into 1.0 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.090 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.090 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.092 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.092 * [backup-simplify]: Simplify (/ -1 (* 0.5 (/ 1 x))) into (* -2.0 x) 0.092 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.092 * [taylor]: Taking taylor expansion of -2.0 in x 0.092 * [backup-simplify]: Simplify -2.0 into -2.0 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ (* -2.0 1) (* 0 0)) into (- 2.0) 0.093 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.093 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.095 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 4.0 (pow x 2)) 0.095 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of 4.0 in x 0.095 * [backup-simplify]: Simplify 4.0 into 4.0 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 1) (* 0 0)))) into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (* 4.0 (pow x 2)) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 8.0 (pow x 3))) 0.098 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.098 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.098 * [taylor]: Taking taylor expansion of 8.0 in x 0.098 * [backup-simplify]: Simplify 8.0 into 8.0 0.098 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.099 * [backup-simplify]: Simplify 4.0 into 4.0 0.099 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (* 4.0 (pow x 2)) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 8.0 (pow x 3))) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 16.0 (pow x 4)) 0.103 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.103 * [taylor]: Taking taylor expansion of 16.0 in x 0.103 * [backup-simplify]: Simplify 16.0 into 16.0 0.103 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (* 4.0 (pow x 2)) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 8.0 (pow x 3))) (/ 0 (* 0.5 (/ 1 x)))) (* (* 16.0 (pow x 4)) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 32.0 (pow x 5))) 0.107 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.107 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.107 * [taylor]: Taking taylor expansion of 32.0 in x 0.107 * [backup-simplify]: Simplify 32.0 into 32.0 0.107 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.108 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.109 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.110 * [backup-simplify]: Simplify (+ (* (- 8.0) (* (pow (/ 1 (- x)) 3) (pow (/ 1 (- y)) 2))) (+ (* 4.0 (* (pow (/ 1 (- x)) 2) (/ 1 (- y)))) (* (- 2.0) (* (/ 1 (- x)) 1)))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.110 * * * [progress]: simplifying candidates 0.111 * [simplify]: Simplifying: (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.111 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (+ h1 (/ (* h2 h0) h3)))) (log (/ h0 (+ h1 (/ (* h2 h0) h3)))) (exp (/ h0 (+ h1 (/ (* h2 h0) h3)))) (/ (* (* h0 h0) h0) (* (* (+ h1 (/ (* h2 h0) h3)) (+ h1 (/ (* h2 h0) h3))) (+ h1 (/ (* h2 h0) h3)))) (* (cbrt (/ h0 (+ h1 (/ (* h2 h0) h3)))) (cbrt (/ h0 (+ h1 (/ (* h2 h0) h3))))) (cbrt (/ h0 (+ h1 (/ (* h2 h0) h3)))) (* (* (/ h0 (+ h1 (/ (* h2 h0) h3))) (/ h0 (+ h1 (/ (* h2 h0) h3)))) (/ h0 (+ h1 (/ (* h2 h0) h3)))) (sqrt (/ h0 (+ h1 (/ (* h2 h0) h3)))) (sqrt (/ h0 (+ h1 (/ (* h2 h0) h3)))) (- h0) (- (+ h1 (/ (* h2 h0) h3))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h1 (/ (* h2 h0) h3))) (cbrt (+ h1 (/ (* h2 h0) h3))))) (/ (cbrt h0) (cbrt (+ h1 (/ (* h2 h0) h3)))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ (cbrt h0) (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (/ (* h2 h0) h3))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h1 (/ (* h2 h0) h3))) (/ (sqrt h0) (* (cbrt (+ h1 (/ (* h2 h0) h3))) (cbrt (+ h1 (/ (* h2 h0) h3))))) (/ (sqrt h0) (cbrt (+ h1 (/ (* h2 h0) h3)))) (/ (sqrt h0) (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ (sqrt h0) (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (/ (* h2 h0) h3))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h1 (/ (* h2 h0) h3))) (/ 1 (* (cbrt (+ h1 (/ (* h2 h0) h3))) (cbrt (+ h1 (/ (* h2 h0) h3))))) (/ h0 (cbrt (+ h1 (/ (* h2 h0) h3)))) (/ 1 (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ h0 (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ 1 1) (/ h0 (+ h1 (/ (* h2 h0) h3))) (/ 1 1) (/ h0 (+ h1 (/ (* h2 h0) h3))) (/ 1 (+ h1 (/ (* h2 h0) h3))) (/ (+ h1 (/ (* h2 h0) h3)) h0) (/ h0 (* (cbrt (+ h1 (/ (* h2 h0) h3))) (cbrt (+ h1 (/ (* h2 h0) h3))))) (/ h0 (sqrt (+ h1 (/ (* h2 h0) h3)))) (/ h0 1) (/ h0 1) (/ (+ h1 (/ (* h2 h0) h3)) (cbrt h0)) (/ (+ h1 (/ (* h2 h0) h3)) (sqrt h0)) (/ (+ h1 (/ (* h2 h0) h3)) h0) (/ h0 (+ (pow h1 3) (pow (/ (* h2 h0) h3) 3))) (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- (+ (* h1 h0) (* h4 (* (pow h2 2) (pow h0 3)))) (* h5 (* h2 (pow h0 2)))) (- (+ (* h6 (/ 1 (* (pow h2 3) (pow h0 2)))) (* h3 (/ 1 h2))) (* h7 (/ 1 (* (pow h2 2) h0)))) (- (+ (* h6 (/ 1 (* (pow h2 3) (pow h0 2)))) (* h3 (/ 1 h2))) (* h7 (/ 1 (* (pow h2 2) h0)))) 0.116 * * [simplify]: iteration 0 : 209 enodes (cost 283 ) 0.121 * * [simplify]: iteration 1 : 791 enodes (cost 264 ) 0.139 * * [simplify]: iteration 2 : 4176 enodes (cost 259 ) 0.258 * * [simplify]: iteration 3 : 5001 enodes (cost 259 ) 0.259 * * * [progress]: adding candidates to table 0.326 * * [progress]: iteration 2 / 4 0.326 * * * [progress]: picking best candidate 0.329 * * * * [pick]: Picked # 0.329 * * * [progress]: localizing error 0.337 * * * [progress]: generating rewritten candidates 0.337 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 0.370 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.395 * * * [progress]: generating series expansions 0.395 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 0.395 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (* x y) 2.0)) y) into (/ (+ (* 0.5 (* x y)) 1.0) y) 0.396 * [approximate]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in y 0.396 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.396 * [taylor]: Taking taylor expansion of 0.5 in y 0.396 * [backup-simplify]: Simplify 0.5 into 0.5 0.396 * [taylor]: Taking taylor expansion of (* x y) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [backup-simplify]: Simplify x into x 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.396 * [backup-simplify]: Simplify 1.0 into 1.0 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* x 0) into 0 0.396 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.397 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.397 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.397 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.397 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.397 * [taylor]: Taking taylor expansion of 0.5 in x 0.397 * [backup-simplify]: Simplify 0.5 into 0.5 0.397 * [taylor]: Taking taylor expansion of (* x y) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [backup-simplify]: Simplify 1.0 into 1.0 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (* 0 y) into 0 0.397 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.398 * [backup-simplify]: Simplify (/ 1.0 y) into (/ 1.0 y) 0.398 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (* x y)) 1.0) y) in x 0.398 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.398 * [taylor]: Taking taylor expansion of 0.5 in x 0.398 * [backup-simplify]: Simplify 0.5 into 0.5 0.398 * [taylor]: Taking taylor expansion of (* x y) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 1 into 1 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [backup-simplify]: Simplify y into y 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [backup-simplify]: Simplify y into y 0.398 * [backup-simplify]: Simplify (* 0 y) into 0 0.398 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.398 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.399 * [backup-simplify]: Simplify (/ 1.0 y) into (/ 1.0 y) 0.399 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.399 * [taylor]: Taking taylor expansion of 1.0 in y 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.400 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.400 * [backup-simplify]: Simplify (+ (* 0.5 y) 0) into (* 0.5 y) 0.400 * [backup-simplify]: Simplify (- (/ (* 0.5 y) y) (+ (* (/ 1.0 y) (/ 0 y)))) into 0.5 0.400 * [taylor]: Taking taylor expansion of 0.5 in y 0.400 * [backup-simplify]: Simplify 0.5 into 0.5 0.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.401 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 y) (* 0 0))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0.5 (/ 0 y)))) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0.5 into 0.5 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0.5 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0.5 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 x)) (* 1.0 (* (/ 1 y) 1))) into (+ (* 0.5 x) (* 1.0 (/ 1 y))) 0.407 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (* (/ 1 x) (/ 1 y)) 2.0)) (/ 1 y)) into (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) 0.407 * [approximate]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.407 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.407 * [taylor]: Taking taylor expansion of 0.5 in y 0.407 * [backup-simplify]: Simplify 0.5 into 0.5 0.407 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.407 * [taylor]: Taking taylor expansion of (* x y) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [backup-simplify]: Simplify x into x 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* x 0) into 0 0.407 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.407 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.407 * [taylor]: Taking taylor expansion of 1.0 in y 0.407 * [backup-simplify]: Simplify 1.0 into 1.0 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.407 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.407 * [backup-simplify]: Simplify 0.5 into 0.5 0.408 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.408 * [taylor]: Taking taylor expansion of (* x y) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [backup-simplify]: Simplify y into y 0.408 * [backup-simplify]: Simplify (* 0 y) into 0 0.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.408 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [backup-simplify]: Simplify y into y 0.408 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.408 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.408 * [taylor]: Taking taylor expansion of 0.5 in x 0.408 * [backup-simplify]: Simplify 0.5 into 0.5 0.408 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.408 * [taylor]: Taking taylor expansion of (* x y) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [backup-simplify]: Simplify y into y 0.408 * [backup-simplify]: Simplify (* 0 y) into 0 0.408 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.408 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [backup-simplify]: Simplify 1.0 into 1.0 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.409 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.409 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.409 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.409 * [taylor]: Taking taylor expansion of 0.5 in y 0.409 * [backup-simplify]: Simplify 0.5 into 0.5 0.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.410 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.410 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 0.410 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.410 * [taylor]: Taking taylor expansion of 1.0 in y 0.410 * [backup-simplify]: Simplify 1.0 into 1.0 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify 0.5 into 0.5 0.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.412 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.415 * [backup-simplify]: Simplify 1.0 into 1.0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 (/ 1 x))))) into (+ (* 0.5 x) (* 1.0 (/ 1 y))) 0.423 * [backup-simplify]: Simplify (/ (+ 1.0 (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0)) (/ 1 (- y))) into (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.423 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.424 * [taylor]: Taking taylor expansion of -1 in y 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.424 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.424 * [taylor]: Taking taylor expansion of 0.5 in y 0.424 * [backup-simplify]: Simplify 0.5 into 0.5 0.424 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.424 * [taylor]: Taking taylor expansion of (* x y) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [backup-simplify]: Simplify x into x 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* x 0) into 0 0.424 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.424 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.424 * [taylor]: Taking taylor expansion of 1.0 in y 0.424 * [backup-simplify]: Simplify 1.0 into 1.0 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.424 * [taylor]: Taking taylor expansion of -1 in x 0.424 * [backup-simplify]: Simplify -1 into -1 0.424 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.424 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.424 * [taylor]: Taking taylor expansion of 0.5 in x 0.424 * [backup-simplify]: Simplify 0.5 into 0.5 0.424 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.424 * [taylor]: Taking taylor expansion of (* x y) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [taylor]: Taking taylor expansion of y in x 0.424 * [backup-simplify]: Simplify y into y 0.424 * [backup-simplify]: Simplify (* 0 y) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.425 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [backup-simplify]: Simplify 1.0 into 1.0 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [backup-simplify]: Simplify -1 into -1 0.425 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.425 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.425 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.425 * [taylor]: Taking taylor expansion of 0.5 in x 0.425 * [backup-simplify]: Simplify 0.5 into 0.5 0.425 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.425 * [taylor]: Taking taylor expansion of (* x y) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (* 0 y) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.425 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [backup-simplify]: Simplify 1.0 into 1.0 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [backup-simplify]: Simplify y into y 0.425 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.425 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.426 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.426 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.426 * [taylor]: Taking taylor expansion of -0.5 in y 0.426 * [backup-simplify]: Simplify -0.5 into -0.5 0.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.427 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 0.427 * [backup-simplify]: Simplify (+ (* -1 (* 1.0 y)) (* 0 0.5)) into (- (* 1.0 y)) 0.427 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.427 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.427 * [taylor]: Taking taylor expansion of 1.0 in y 0.427 * [backup-simplify]: Simplify 1.0 into 1.0 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify -0.5 into -0.5 0.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 0.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 1.0 y)) (* 0 0.5))) into 0 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.430 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* 1.0 y)) (* 0 0.5)))) into 0 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.435 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.435 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 0.437 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1.0 y)) (* 0 0.5))))) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.447 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1.0 y)) (* 0 0.5)))))) into 0 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 (- y)) 1)) (* -0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 x) (* 1.0 (/ 1 y))) 0.448 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.448 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) into (/ y (+ (* 0.5 (* x y)) 1.0)) 0.448 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (x y) around 0 0.448 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.448 * [taylor]: Taking taylor expansion of 0.5 in y 0.448 * [backup-simplify]: Simplify 0.5 into 0.5 0.448 * [taylor]: Taking taylor expansion of (* x y) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [backup-simplify]: Simplify x into x 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of 1.0 in y 0.448 * [backup-simplify]: Simplify 1.0 into 1.0 0.448 * [backup-simplify]: Simplify (* x 0) into 0 0.449 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.449 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.449 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.449 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [backup-simplify]: Simplify y into y 0.449 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.449 * [taylor]: Taking taylor expansion of 0.5 in x 0.449 * [backup-simplify]: Simplify 0.5 into 0.5 0.449 * [taylor]: Taking taylor expansion of (* x y) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [backup-simplify]: Simplify y into y 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [backup-simplify]: Simplify 1.0 into 1.0 0.449 * [backup-simplify]: Simplify (* 0 y) into 0 0.450 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.450 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 0.450 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [backup-simplify]: Simplify y into y 0.450 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.450 * [taylor]: Taking taylor expansion of 0.5 in x 0.450 * [backup-simplify]: Simplify 0.5 into 0.5 0.450 * [taylor]: Taking taylor expansion of (* x y) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [backup-simplify]: Simplify y into y 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [backup-simplify]: Simplify (* 0 y) into 0 0.450 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.451 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.451 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 0.451 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.451 * [taylor]: Taking taylor expansion of 1.0 in y 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.452 * [backup-simplify]: Simplify (+ (* 0.5 y) (* 0 0)) into (* 0.5 y) 0.452 * [backup-simplify]: Simplify (+ (* 0.5 y) 0) into (* 0.5 y) 0.453 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ (* 0.5 y) 1.0)))) into (- (* 0.5 (pow y 2))) 0.453 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of 0.5 in y 0.453 * [backup-simplify]: Simplify 0.5 into 0.5 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.454 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 y) (* 0 0))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ 0 1.0)) (* (- (* 0.5 (pow y 2))) (/ (* 0.5 y) 1.0)))) into (* 0.25 (pow y 3)) 0.455 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 0.455 * [taylor]: Taking taylor expansion of 0.25 in y 0.455 * [backup-simplify]: Simplify 0.25 into 0.25 0.455 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (* 1 1) into 1 0.456 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.456 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.456 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.457 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ 0 1.0)) (* (- (* 0.5 (pow y 2))) (/ 0 1.0)) (* (* 0.25 (pow y 3)) (/ (* 0.5 y) 1.0)))) into (- (* 0.125 (pow y 4))) 0.459 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 0.459 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 0.459 * [taylor]: Taking taylor expansion of 0.125 in y 0.459 * [backup-simplify]: Simplify 0.125 into 0.125 0.460 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ 0 1.0)) (* (- (* 0.5 (pow y 2))) (/ 0 1.0)) (* (* 0.25 (pow y 3)) (/ 0 1.0)) (* (- (* 0.125 (pow y 4))) (/ (* 0.5 y) 1.0)))) into (* 0.0625 (pow y 5)) 0.464 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 0.465 * [taylor]: Taking taylor expansion of 0.0625 in y 0.465 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.465 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.465 * [taylor]: Taking taylor expansion of y in y 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.465 * [backup-simplify]: Simplify 0.25 into 0.25 0.466 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow y 3) (pow x 2))) (+ (* (- 0.5) (* (pow y 2) x)) (* 1.0 (* y 1)))) into (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) 0.466 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (/ (* (/ 1 x) (/ 1 y)) 2.0)) (/ 1 y))) into (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.466 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.466 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.466 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.466 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.466 * [taylor]: Taking taylor expansion of 0.5 in y 0.466 * [backup-simplify]: Simplify 0.5 into 0.5 0.466 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.466 * [taylor]: Taking taylor expansion of (* x y) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [backup-simplify]: Simplify x into x 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (* x 0) into 0 0.467 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.467 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.467 * [taylor]: Taking taylor expansion of 1.0 in y 0.467 * [backup-simplify]: Simplify 1.0 into 1.0 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.467 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.467 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.467 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.468 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.468 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 0.468 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.468 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.468 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.468 * [taylor]: Taking taylor expansion of 0.5 in x 0.468 * [backup-simplify]: Simplify 0.5 into 0.5 0.468 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.468 * [taylor]: Taking taylor expansion of (* x y) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [backup-simplify]: Simplify y into y 0.468 * [backup-simplify]: Simplify (* 0 y) into 0 0.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.469 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.469 * [backup-simplify]: Simplify 1.0 into 1.0 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [backup-simplify]: Simplify y into y 0.469 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.469 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.469 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.469 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 0.469 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.469 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.469 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.469 * [backup-simplify]: Simplify 0.5 into 0.5 0.469 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.469 * [taylor]: Taking taylor expansion of (* x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [backup-simplify]: Simplify y into y 0.469 * [backup-simplify]: Simplify (* 0 y) into 0 0.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.470 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [backup-simplify]: Simplify 1.0 into 1.0 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [backup-simplify]: Simplify y into y 0.470 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.470 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.470 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.470 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 0.470 * [taylor]: Taking taylor expansion of 2.0 in y 0.470 * [backup-simplify]: Simplify 2.0 into 2.0 0.470 * [backup-simplify]: Simplify 2.0 into 2.0 0.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.472 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 0.472 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ (* 1.0 y) 0.5)))) into (- (* 4.0 y)) 0.472 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 0.472 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.472 * [taylor]: Taking taylor expansion of 4.0 in y 0.472 * [backup-simplify]: Simplify 4.0 into 4.0 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (* 4.0 0) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ (* 1.0 y) 0.5)))) into (* 8.0 (pow y 2)) 0.474 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of 8.0 in y 0.474 * [backup-simplify]: Simplify 8.0 into 8.0 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 0.476 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.476 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ 0 0.5)) (* (* 8.0 (pow y 2)) (/ (* 1.0 y) 0.5)))) into (- (* 16.0 (pow y 3))) 0.479 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 0.479 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.479 * [taylor]: Taking taylor expansion of 16.0 in y 0.479 * [backup-simplify]: Simplify 16.0 into 16.0 0.479 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 0.480 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ 0 0.5)) (* (* 8.0 (pow y 2)) (/ 0 0.5)) (* (- (* 16.0 (pow y 3))) (/ (* 1.0 y) 0.5)))) into (* 32.0 (pow y 4)) 0.484 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.484 * [taylor]: Taking taylor expansion of 32.0 in y 0.484 * [backup-simplify]: Simplify 32.0 into 32.0 0.484 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.485 * [backup-simplify]: Simplify 8.0 into 8.0 0.486 * [backup-simplify]: Simplify (+ (* 8.0 (* (pow (/ 1 y) 2) (pow (/ 1 x) 3))) (+ (* (- 4.0) (* (/ 1 y) (pow (/ 1 x) 2))) (* 2.0 (* 1 (/ 1 x))))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.486 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0)) (/ 1 (- y)))) into (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.486 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.486 * [taylor]: Taking taylor expansion of -1 in y 0.486 * [backup-simplify]: Simplify -1 into -1 0.486 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.486 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.486 * [taylor]: Taking taylor expansion of 0.5 in y 0.486 * [backup-simplify]: Simplify 0.5 into 0.5 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.486 * [taylor]: Taking taylor expansion of (* x y) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [backup-simplify]: Simplify x into x 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (* x 0) into 0 0.486 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.486 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.486 * [taylor]: Taking taylor expansion of 1.0 in y 0.486 * [backup-simplify]: Simplify 1.0 into 1.0 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.487 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.487 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.487 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.488 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.488 * [backup-simplify]: Simplify (/ -1 (* 0.5 (/ 1 x))) into (* -2.0 x) 0.488 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.488 * [taylor]: Taking taylor expansion of -1 in x 0.488 * [backup-simplify]: Simplify -1 into -1 0.488 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.488 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.488 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.488 * [taylor]: Taking taylor expansion of 0.5 in x 0.488 * [backup-simplify]: Simplify 0.5 into 0.5 0.488 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.488 * [taylor]: Taking taylor expansion of (* x y) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [backup-simplify]: Simplify y into y 0.488 * [backup-simplify]: Simplify (* 0 y) into 0 0.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.489 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [backup-simplify]: Simplify 1.0 into 1.0 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [backup-simplify]: Simplify y into y 0.489 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.489 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.489 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.489 * [backup-simplify]: Simplify (/ -1 0.5) into -2.0 0.489 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [backup-simplify]: Simplify -1 into -1 0.489 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.489 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.489 * [taylor]: Taking taylor expansion of 0.5 in x 0.489 * [backup-simplify]: Simplify 0.5 into 0.5 0.489 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.489 * [taylor]: Taking taylor expansion of (* x y) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [backup-simplify]: Simplify y into y 0.489 * [backup-simplify]: Simplify (* 0 y) into 0 0.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.490 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [backup-simplify]: Simplify 1.0 into 1.0 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [backup-simplify]: Simplify y into y 0.490 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.490 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.490 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.490 * [backup-simplify]: Simplify (/ -1 0.5) into -2.0 0.490 * [taylor]: Taking taylor expansion of -2.0 in y 0.490 * [backup-simplify]: Simplify -2.0 into -2.0 0.490 * [backup-simplify]: Simplify -2.0 into -2.0 0.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.491 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 0.492 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ (* 1.0 y) 0.5)))) into (* 4.0 y) 0.492 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 0.492 * [taylor]: Taking taylor expansion of 4.0 in y 0.492 * [backup-simplify]: Simplify 4.0 into 4.0 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 (* 4.0 0) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ 0 0.5)) (* (* 4.0 y) (/ (* 1.0 y) 0.5)))) into (- (* 8.0 (pow y 2))) 0.495 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of 8.0 in y 0.495 * [backup-simplify]: Simplify 8.0 into 8.0 0.495 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.495 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 0.495 * [backup-simplify]: Simplify 4.0 into 4.0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ 0 0.5)) (* (* 4.0 y) (/ 0 0.5)) (* (- (* 8.0 (pow y 2))) (/ (* 1.0 y) 0.5)))) into (* 16.0 (pow y 3)) 0.499 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 0.499 * [taylor]: Taking taylor expansion of 16.0 in y 0.499 * [backup-simplify]: Simplify 16.0 into 16.0 0.499 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ 0 0.5)) (* (* 4.0 y) (/ 0 0.5)) (* (- (* 8.0 (pow y 2))) (/ 0 0.5)) (* (* 16.0 (pow y 3)) (/ (* 1.0 y) 0.5)))) into (- (* 32.0 (pow y 4))) 0.504 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 0.504 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 0.504 * [taylor]: Taking taylor expansion of 32.0 in y 0.504 * [backup-simplify]: Simplify 32.0 into 32.0 0.504 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (* 1 1) into 1 0.504 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.505 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.505 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.506 * [backup-simplify]: Simplify (+ (* (- 8.0) (* (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 3))) (+ (* 4.0 (* (/ 1 (- y)) (pow (/ 1 (- x)) 2))) (* -2.0 (* 1 (/ 1 (- x)))))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.506 * * * [progress]: simplifying candidates 0.508 * [simplify]: Simplifying: (- (log (+ 1.0 (/ (* x y) 2.0))) (log y)) (log (/ (+ 1.0 (/ (* x y) 2.0)) y)) (exp (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (- (+ 1.0 (/ (* x y) 2.0))) (- y) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y)) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ 1 1) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ 1 y) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) (* (cbrt y) (cbrt y))) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) 1) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))) (* y (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0))))) (* y (- 1.0 (/ (* x y) 2.0))) (- 1) (- (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 0 (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- 0 (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- (log 1) (- (log (+ 1.0 (/ (* x y) 2.0))) (log y))) (- (log 1) (log (/ (+ 1.0 (/ (* x y) 2.0)) y))) (log (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (exp (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0))) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (cbrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (* (* (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (sqrt (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))) (- 1) (- (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (/ (* x y) 2.0))) (/ (cbrt 1) (/ 1 y)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (sqrt 1) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt 1) (/ 1 y)) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (cbrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (cbrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 1) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 (/ 1 y)) (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (* (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)) (cbrt (/ (+ 1.0 (/ (* x y) 2.0)) y)))) (/ 1 (sqrt (/ (+ 1.0 (/ (* x y) 2.0)) y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt y))) (/ 1 (/ (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) (sqrt y))) (/ 1 (/ (sqrt (+ 1.0 (/ (* x y) 2.0))) 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (cbrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) (sqrt 1)) (/ (/ (+ 1.0 (/ (* x y) 2.0)) y) 1) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.508 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 (/ (* h1 h2) h3))) (log h2)) (log (/ (+ h0 (/ (* h1 h2) h3)) h2)) (exp (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (* (* (+ h0 (/ (* h1 h2) h3)) (+ h0 (/ (* h1 h2) h3))) (+ h0 (/ (* h1 h2) h3))) (* (* h2 h2) h2)) (* (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (* (* (/ (+ h0 (/ (* h1 h2) h3)) h2) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (- (+ h0 (/ (* h1 h2) h3))) (- h2) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (* (cbrt h2) (cbrt h2))) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2)) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (sqrt h2)) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2)) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) h2) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (* (cbrt h2) (cbrt h2))) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2)) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2)) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2)) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2)) (/ 1 (sqrt h2)) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2)) (/ 1 1) (/ (+ h0 (/ (* h1 h2) h3)) h2) (/ 1 (* (cbrt h2) (cbrt h2))) (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2)) (/ 1 (sqrt h2)) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2)) (/ 1 1) (/ (+ h0 (/ (* h1 h2) h3)) h2) (/ 1 h2) (/ h2 (+ h0 (/ (* h1 h2) h3))) (/ (+ h0 (/ (* h1 h2) h3)) (* (cbrt h2) (cbrt h2))) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2)) (/ (+ h0 (/ (* h1 h2) h3)) 1) (/ h2 (cbrt (+ h0 (/ (* h1 h2) h3)))) (/ h2 (sqrt (+ h0 (/ (* h1 h2) h3)))) (/ h2 (+ h0 (/ (* h1 h2) h3))) (/ h2 (+ h0 (/ (* h1 h2) h3))) (* h2 (+ (* h0 h0) (- (* (/ (* h1 h2) h3) (/ (* h1 h2) h3)) (* h0 (/ (* h1 h2) h3))))) (* h2 (- h0 (/ (* h1 h2) h3))) (- 1) (- (- (log (+ h0 (/ (* h1 h2) h3))) (log h2))) (- (log (/ (+ h0 (/ (* h1 h2) h3)) h2))) (- 0 (- (log (+ h0 (/ (* h1 h2) h3))) (log h2))) (- 0 (log (/ (+ h0 (/ (* h1 h2) h3)) h2))) (- (log 1) (- (log (+ h0 (/ (* h1 h2) h3))) (log h2))) (- (log 1) (log (/ (+ h0 (/ (* h1 h2) h3)) h2))) (log (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (exp (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (* (* 1 1) 1) (/ (* (* (+ h0 (/ (* h1 h2) h3)) (+ h0 (/ (* h1 h2) h3))) (+ h0 (/ (* h1 h2) h3))) (* (* h2 h2) h2))) (/ (* (* 1 1) 1) (* (* (/ (+ h0 (/ (* h1 h2) h3)) h2) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (+ h0 (/ (* h1 h2) h3)) h2))) (* (cbrt (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (cbrt (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2)))) (cbrt (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (* (* (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (sqrt (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (sqrt (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2))) (- 1) (- (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)))) (/ (cbrt 1) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (cbrt 1) (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (* (cbrt h2) (cbrt h2)))) (/ (cbrt 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (sqrt h2))) (/ (cbrt 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) 1)) (/ (cbrt 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) h2)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (* (cbrt h2) (cbrt h2)))) (/ (cbrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ (cbrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) 1)) (/ (cbrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) h2)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt h2) (cbrt h2)))) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt h2))) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt h2) (cbrt h2)))) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt h2))) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (* (cbrt 1) (cbrt 1)) (+ h0 (/ (* h1 h2) h3))) (/ (cbrt 1) (/ 1 h2)) (/ (sqrt 1) (* (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)))) (/ (sqrt 1) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (sqrt 1) (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (sqrt 1) (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ (sqrt 1) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (* (cbrt h2) (cbrt h2)))) (/ (sqrt 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2))) (/ (sqrt 1) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (sqrt h2))) (/ (sqrt 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ (sqrt 1) (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) 1)) (/ (sqrt 1) (/ (cbrt (+ h0 (/ (* h1 h2) h3))) h2)) (/ (sqrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (* (cbrt h2) (cbrt h2)))) (/ (sqrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2))) (/ (sqrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ (sqrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ (sqrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) 1)) (/ (sqrt 1) (/ (sqrt (+ h0 (/ (* h1 h2) h3))) h2)) (/ (sqrt 1) (/ 1 (* (cbrt h2) (cbrt h2)))) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2))) (/ (sqrt 1) (/ 1 (sqrt h2))) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (sqrt 1) (/ 1 (* (cbrt h2) (cbrt h2)))) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2))) (/ (sqrt 1) (/ 1 (sqrt h2))) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (sqrt 1) (+ h0 (/ (* h1 h2) h3))) (/ (sqrt 1) (/ 1 h2)) (/ 1 (* (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)))) (/ 1 (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ 1 (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ 1 (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ 1 (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (* (cbrt h2) (cbrt h2)))) (/ 1 (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2))) (/ 1 (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (sqrt h2))) (/ 1 (/ (cbrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ 1 (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) 1)) (/ 1 (/ (cbrt (+ h0 (/ (* h1 h2) h3))) h2)) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (* (cbrt h2) (cbrt h2)))) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (cbrt h2))) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) 1)) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) h2)) (/ 1 (/ 1 (* (cbrt h2) (cbrt h2)))) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2))) (/ 1 (/ 1 (sqrt h2))) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2))) (/ 1 (/ 1 1)) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ 1 (/ 1 (* (cbrt h2) (cbrt h2)))) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) (cbrt h2))) (/ 1 (/ 1 (sqrt h2))) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) (sqrt h2))) (/ 1 (/ 1 1)) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ 1 1) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ 1 (+ h0 (/ (* h1 h2) h3))) (/ 1 (/ 1 h2)) (/ 1 (/ (+ h0 (/ (* h1 h2) h3)) h2)) (/ (/ (+ h0 (/ (* h1 h2) h3)) h2) 1) (/ 1 (* (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)) (cbrt (/ (+ h0 (/ (* h1 h2) h3)) h2)))) (/ 1 (sqrt (/ (+ h0 (/ (* h1 h2) h3)) h2))) (/ 1 (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (* (cbrt h2) (cbrt h2)))) (/ 1 (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) (sqrt h2))) (/ 1 (/ (* (cbrt (+ h0 (/ (* h1 h2) h3))) (cbrt (+ h0 (/ (* h1 h2) h3)))) 1)) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (* (cbrt h2) (cbrt h2)))) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) (sqrt h2))) (/ 1 (/ (sqrt (+ h0 (/ (* h1 h2) h3))) 1)) (/ 1 (/ 1 (* (cbrt h2) (cbrt h2)))) (/ 1 (/ 1 (sqrt h2))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt h2) (cbrt h2)))) (/ 1 (/ 1 (sqrt h2))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ h0 (/ (* h1 h2) h3))) (/ (/ (+ h0 (/ (* h1 h2) h3)) h2) (cbrt 1)) (/ (/ (+ h0 (/ (* h1 h2) h3)) h2) (sqrt 1)) (/ (/ (+ h0 (/ (* h1 h2) h3)) h2) 1) (/ 1 (+ h0 (/ (* h1 h2) h3))) (+ (* h4 h1) (* h0 (/ 1 h2))) (+ (* h4 h1) (* h0 (/ 1 h2))) (+ (* h4 h1) (* h0 (/ 1 h2))) (- (+ (* h0 h2) (* h5 (* (pow h1 2) (pow h2 3)))) (* h4 (* h1 (pow h2 2)))) (- (+ (* h6 (/ 1 (* (pow h1 3) (pow h2 2)))) (* h3 (/ 1 h1))) (* h7 (/ 1 (* (pow h1 2) h2)))) (- (+ (* h6 (/ 1 (* (pow h1 3) (pow h2 2)))) (* h3 (/ 1 h1))) (* h7 (/ 1 (* (pow h1 2) h2)))) 0.515 * * [simplify]: iteration 0 : 443 enodes (cost 1186 ) 0.524 * * [simplify]: iteration 1 : 2081 enodes (cost 1068 ) 0.555 * * [simplify]: iteration 2 : 5002 enodes (cost 975 ) 0.559 * * * [progress]: adding candidates to table 0.719 * * [progress]: iteration 3 / 4 0.719 * * * [progress]: picking best candidate 0.721 * * * * [pick]: Picked # 0.721 * * * [progress]: localizing error 0.732 * * * [progress]: generating rewritten candidates 0.732 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.790 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.802 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 2) 0.839 * * * [progress]: generating series expansions 0.839 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.840 * [backup-simplify]: Simplify (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))) into (/ (* (- 1.0 (* 0.5 (* x y))) y) (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) 0.840 * [approximate]: Taking taylor expansion of (/ (* (- 1.0 (* 0.5 (* x y))) y) (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in (y x) around 0 0.840 * [taylor]: Taking taylor expansion of (/ (* (- 1.0 (* 0.5 (* x y))) y) (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in x 0.840 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.5 (* x y))) y) in x 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (* x y))) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [backup-simplify]: Simplify 1.0 into 1.0 0.840 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.840 * [taylor]: Taking taylor expansion of 0.5 in x 0.840 * [backup-simplify]: Simplify 0.5 into 0.5 0.840 * [taylor]: Taking taylor expansion of (* x y) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [backup-simplify]: Simplify y into y 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [backup-simplify]: Simplify y into y 0.840 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (* (pow x 2) (pow y 2)))) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [backup-simplify]: Simplify 1.0 into 1.0 0.840 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in x 0.840 * [taylor]: Taking taylor expansion of 0.25 in x 0.840 * [backup-simplify]: Simplify 0.25 into 0.25 0.840 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [backup-simplify]: Simplify y into y 0.840 * [backup-simplify]: Simplify (* 0 y) into 0 0.841 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.841 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.841 * [backup-simplify]: Simplify (* 1.0 y) into (* 1.0 y) 0.841 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.841 * [backup-simplify]: Simplify (/ (* 1.0 y) 1.0) into (* 1.0 y) 0.841 * [taylor]: Taking taylor expansion of (/ (* (- 1.0 (* 0.5 (* x y))) y) (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in y 0.842 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.5 (* x y))) y) in y 0.842 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (* x y))) in y 0.842 * [taylor]: Taking taylor expansion of 1.0 in y 0.842 * [backup-simplify]: Simplify 1.0 into 1.0 0.842 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.842 * [taylor]: Taking taylor expansion of 0.5 in y 0.842 * [backup-simplify]: Simplify 0.5 into 0.5 0.842 * [taylor]: Taking taylor expansion of (* x y) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [backup-simplify]: Simplify x into x 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (* (pow x 2) (pow y 2)))) in y 0.842 * [taylor]: Taking taylor expansion of 1.0 in y 0.842 * [backup-simplify]: Simplify 1.0 into 1.0 0.842 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in y 0.842 * [taylor]: Taking taylor expansion of 0.25 in y 0.842 * [backup-simplify]: Simplify 0.25 into 0.25 0.842 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [backup-simplify]: Simplify x into x 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* x 0) into 0 0.842 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.842 * [backup-simplify]: Simplify (- 0) into 0 0.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.843 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.843 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.843 * [backup-simplify]: Simplify (+ (* 0.5 x) (* 0 0)) into (* 0.5 x) 0.844 * [backup-simplify]: Simplify (- (* 0.5 x)) into (- (* 0.5 x)) 0.844 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 x))) into (- (* 0.5 x)) 0.844 * [backup-simplify]: Simplify (+ (* 1.0 1) (* (- (* 0.5 x)) 0)) into 1.0 0.844 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.844 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.844 * [taylor]: Taking taylor expansion of (/ (* (- 1.0 (* 0.5 (* x y))) y) (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in y 0.844 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.5 (* x y))) y) in y 0.844 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (* x y))) in y 0.844 * [taylor]: Taking taylor expansion of 1.0 in y 0.844 * [backup-simplify]: Simplify 1.0 into 1.0 0.845 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.845 * [taylor]: Taking taylor expansion of 0.5 in y 0.845 * [backup-simplify]: Simplify 0.5 into 0.5 0.845 * [taylor]: Taking taylor expansion of (* x y) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [backup-simplify]: Simplify x into x 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (* (pow x 2) (pow y 2)))) in y 0.845 * [taylor]: Taking taylor expansion of 1.0 in y 0.845 * [backup-simplify]: Simplify 1.0 into 1.0 0.845 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in y 0.845 * [taylor]: Taking taylor expansion of 0.25 in y 0.845 * [backup-simplify]: Simplify 0.25 into 0.25 0.845 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [backup-simplify]: Simplify x into x 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (* x 0) into 0 0.845 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.846 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.846 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.846 * [backup-simplify]: Simplify (+ (* 0.5 x) (* 0 0)) into (* 0.5 x) 0.846 * [backup-simplify]: Simplify (- (* 0.5 x)) into (- (* 0.5 x)) 0.846 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 x))) into (- (* 0.5 x)) 0.847 * [backup-simplify]: Simplify (+ (* 1.0 1) (* (- (* 0.5 x)) 0)) into 1.0 0.847 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.847 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [backup-simplify]: Simplify 1.0 into 1.0 0.847 * [backup-simplify]: Simplify 1.0 into 1.0 0.848 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.848 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 x) (* 0 0))) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 0.5 x)) 1) (* 0 0))) into (- (* 0.5 x)) 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (- (/ (- (* 0.5 x)) 1.0) (+ (* 1.0 (/ 0 1.0)))) into (- (* 0.5 x)) 0.850 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.850 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.850 * [taylor]: Taking taylor expansion of 0.5 in x 0.850 * [backup-simplify]: Simplify 0.5 into 0.5 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.850 * [backup-simplify]: Simplify (- 0) into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.852 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 0.852 * [backup-simplify]: Simplify (- 0) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 0.5 x)) 0) (+ (* 0 1) (* 0 0)))) into 0 0.853 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.853 * [backup-simplify]: Simplify (* 1 1) into 1 0.853 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.853 * [backup-simplify]: Simplify (* 0.25 (pow x 2)) into (* 0.25 (pow x 2)) 0.853 * [backup-simplify]: Simplify (- (* 0.25 (pow x 2))) into (- (* 0.25 (pow x 2))) 0.853 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (pow x 2)))) into (- (* 0.25 (pow x 2))) 0.854 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- (* 0.25 (pow x 2))) 1.0)) (* (- (* 0.5 x)) (/ 0 1.0)))) into (* 0.25 (pow x 2)) 0.854 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.854 * [taylor]: Taking taylor expansion of 0.25 in x 0.854 * [backup-simplify]: Simplify 0.25 into 0.25 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.855 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.855 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.858 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 0.5 x)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.859 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.859 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.859 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow x 2))) into 0 0.860 * [backup-simplify]: Simplify (- 0) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ (- (* 0.25 (pow x 2))) 1.0)) (* (* 0.25 (pow x 2)) (/ 0 1.0)))) into (- (* 0.125 (pow x 3))) 0.861 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.861 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.861 * [taylor]: Taking taylor expansion of 0.125 in x 0.861 * [backup-simplify]: Simplify 0.125 into 0.125 0.861 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))))) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 0.5 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.865 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.866 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.866 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (pow x 2)))) into 0 0.867 * [backup-simplify]: Simplify (- 0) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ 0 1.0)) (* (* 0.25 (pow x 2)) (/ (- (* 0.25 (pow x 2))) 1.0)) (* (- (* 0.125 (pow x 3))) (/ 0 1.0)))) into (* 0.0625 (pow x 4)) 0.868 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.868 * [taylor]: Taking taylor expansion of 0.0625 in x 0.868 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.868 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.869 * [backup-simplify]: Simplify 0.25 into 0.25 0.869 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow x 2) (pow y 3))) (+ (* (- 0.5) (* x (pow y 2))) (* 1.0 (* 1 y)))) into (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) 0.870 * [backup-simplify]: Simplify (* (/ (/ 1 y) (- (* 1.0 1.0) (* (/ (* (/ 1 x) (/ 1 y)) 2.0) (/ (* (/ 1 x) (/ 1 y)) 2.0)))) (- 1.0 (/ (* (/ 1 x) (/ 1 y)) 2.0))) into (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) 0.870 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in (y x) around 0 0.870 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in x 0.870 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 (* x y)))) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [backup-simplify]: Simplify 1.0 into 1.0 0.870 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.870 * [taylor]: Taking taylor expansion of 0.5 in x 0.870 * [backup-simplify]: Simplify 0.5 into 0.5 0.870 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.870 * [taylor]: Taking taylor expansion of (* x y) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [backup-simplify]: Simplify y into y 0.870 * [backup-simplify]: Simplify (* 0 y) into 0 0.871 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.871 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.871 * [taylor]: Taking taylor expansion of (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [backup-simplify]: Simplify y into y 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [backup-simplify]: Simplify 1.0 into 1.0 0.871 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.871 * [taylor]: Taking taylor expansion of 0.25 in x 0.871 * [backup-simplify]: Simplify 0.25 into 0.25 0.871 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.871 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [backup-simplify]: Simplify y into y 0.871 * [backup-simplify]: Simplify (* 1 1) into 1 0.871 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.871 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 0.871 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.871 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.871 * [backup-simplify]: Simplify (- (/ 0.5 y)) into (- (* 0.5 (/ 1 y))) 0.871 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 y)))) into (- (* 0.5 (/ 1 y))) 0.872 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow y 2))) into (/ 0.25 (pow y 2)) 0.872 * [backup-simplify]: Simplify (- (/ 0.25 (pow y 2))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.872 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow y 2))))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.872 * [backup-simplify]: Simplify (* y (- (* 0.25 (/ 1 (pow y 2))))) into (/ -0.25 y) 0.872 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 y))) (/ -0.25 y)) into 2.0 0.872 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in y 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 (* x y)))) in y 0.872 * [taylor]: Taking taylor expansion of 1.0 in y 0.872 * [backup-simplify]: Simplify 1.0 into 1.0 0.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.872 * [taylor]: Taking taylor expansion of 0.5 in y 0.872 * [backup-simplify]: Simplify 0.5 into 0.5 0.872 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.872 * [taylor]: Taking taylor expansion of (* x y) in y 0.872 * [taylor]: Taking taylor expansion of x in y 0.872 * [backup-simplify]: Simplify x into x 0.872 * [taylor]: Taking taylor expansion of y in y 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* x 0) into 0 0.872 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.873 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.873 * [taylor]: Taking taylor expansion of (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.873 * [taylor]: Taking taylor expansion of 1.0 in y 0.873 * [backup-simplify]: Simplify 1.0 into 1.0 0.873 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.873 * [taylor]: Taking taylor expansion of 0.25 in y 0.873 * [backup-simplify]: Simplify 0.25 into 0.25 0.873 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.873 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.873 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.873 * [taylor]: Taking taylor expansion of x in y 0.873 * [backup-simplify]: Simplify x into x 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.873 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.873 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.873 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.873 * [backup-simplify]: Simplify (- (/ 0.5 x)) into (- (* 0.5 (/ 1 x))) 0.873 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 x)))) into (- (* 0.5 (/ 1 x))) 0.874 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.874 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.874 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.874 * [backup-simplify]: Simplify (* 0 (- (* 0.25 (/ 1 (pow x 2))))) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.874 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.875 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (* 0.25 (/ 1 (pow x 2)))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.876 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 x))) (- (* 0.25 (/ 1 (pow x 2))))) into (* 2.0 x) 0.876 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in y 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 (* x y)))) in y 0.876 * [taylor]: Taking taylor expansion of 1.0 in y 0.876 * [backup-simplify]: Simplify 1.0 into 1.0 0.876 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.876 * [taylor]: Taking taylor expansion of 0.5 in y 0.876 * [backup-simplify]: Simplify 0.5 into 0.5 0.876 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.876 * [taylor]: Taking taylor expansion of (* x y) in y 0.876 * [taylor]: Taking taylor expansion of x in y 0.876 * [backup-simplify]: Simplify x into x 0.876 * [taylor]: Taking taylor expansion of y in y 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (* x 0) into 0 0.877 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.877 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.877 * [taylor]: Taking taylor expansion of (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.877 * [taylor]: Taking taylor expansion of 1.0 in y 0.877 * [backup-simplify]: Simplify 1.0 into 1.0 0.877 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.877 * [taylor]: Taking taylor expansion of 0.25 in y 0.877 * [backup-simplify]: Simplify 0.25 into 0.25 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [backup-simplify]: Simplify x into x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.877 * [backup-simplify]: Simplify (* 1 1) into 1 0.877 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.877 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.877 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.877 * [backup-simplify]: Simplify (- (/ 0.5 x)) into (- (* 0.5 (/ 1 x))) 0.878 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 x)))) into (- (* 0.5 (/ 1 x))) 0.878 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.878 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.878 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.878 * [backup-simplify]: Simplify (* 0 (- (* 0.25 (/ 1 (pow x 2))))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.879 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.879 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.879 * [backup-simplify]: Simplify (- 0) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (* 0.25 (/ 1 (pow x 2)))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.880 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 x))) (- (* 0.25 (/ 1 (pow x 2))))) into (* 2.0 x) 0.880 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.880 * [taylor]: Taking taylor expansion of 2.0 in x 0.880 * [backup-simplify]: Simplify 2.0 into 2.0 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.881 * [backup-simplify]: Simplify 2.0 into 2.0 0.882 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.882 * [backup-simplify]: Simplify (- 0) into 0 0.882 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.883 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.884 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into 0 0.885 * [backup-simplify]: Simplify (- 0) into 0 0.885 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.885 * [backup-simplify]: Simplify (+ (* 0 1.0) (+ (* 1 0) (* 0 (- (* 0.25 (/ 1 (pow x 2))))))) into 0 0.886 * [backup-simplify]: Simplify (- (/ 1.0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (- (* 4.0 (pow x 2))) 0.886 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.886 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.886 * [taylor]: Taking taylor expansion of 4.0 in x 0.886 * [backup-simplify]: Simplify 4.0 into 4.0 0.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.887 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.890 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2)))))) into 0 0.891 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (+ (* 0 0) (* 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into 1.0 0.892 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 4.0 (pow x 2))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (* 8.0 (pow x 3)) 0.892 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.892 * [taylor]: Taking taylor expansion of 8.0 in x 0.892 * [backup-simplify]: Simplify 8.0 into 8.0 0.892 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.893 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.893 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.893 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.894 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.895 * [backup-simplify]: Simplify (- 0) into 0 0.895 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.897 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.897 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))))) into 0 0.899 * [backup-simplify]: Simplify (- 0) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 0.25 (/ 1 (pow x 2))))))))) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 4.0 (pow x 2))) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (* 8.0 (pow x 3)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (- (* 16.0 (pow x 4))) 0.901 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.901 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.901 * [taylor]: Taking taylor expansion of 16.0 in x 0.901 * [backup-simplify]: Simplify 16.0 into 16.0 0.901 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (- 0) into 0 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.906 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 0.907 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2)))))))) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 0.25 (/ 1 (pow x 2)))))))))) into 0 0.914 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 4.0 (pow x 2))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (* 8.0 (pow x 3)) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 16.0 (pow x 4))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (* 32.0 (pow x 5)) 0.914 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.914 * [taylor]: Taking taylor expansion of 32.0 in x 0.914 * [backup-simplify]: Simplify 32.0 into 32.0 0.914 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.915 * [backup-simplify]: Simplify 8.0 into 8.0 0.916 * [backup-simplify]: Simplify (+ (* 8.0 (* (pow (/ 1 x) 3) (pow (/ 1 y) 2))) (+ (* (- 4.0) (* (pow (/ 1 x) 2) (/ 1 y))) (* 2.0 (* (/ 1 x) 1)))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.916 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (- (* 1.0 1.0) (* (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0) (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0)))) (- 1.0 (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0))) into (* -1 (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))))) 0.916 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))))) in (y x) around 0 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))))) in x 0.917 * [taylor]: Taking taylor expansion of -1 in x 0.917 * [backup-simplify]: Simplify -1 into -1 0.917 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in x 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 (* x y)))) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [backup-simplify]: Simplify 1.0 into 1.0 0.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.917 * [taylor]: Taking taylor expansion of 0.5 in x 0.917 * [backup-simplify]: Simplify 0.5 into 0.5 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.917 * [taylor]: Taking taylor expansion of (* x y) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [backup-simplify]: Simplify y into y 0.917 * [backup-simplify]: Simplify (* 0 y) into 0 0.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.917 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.917 * [taylor]: Taking taylor expansion of (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [backup-simplify]: Simplify y into y 0.917 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [backup-simplify]: Simplify 1.0 into 1.0 0.917 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.917 * [taylor]: Taking taylor expansion of 0.25 in x 0.917 * [backup-simplify]: Simplify 0.25 into 0.25 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.917 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [backup-simplify]: Simplify y into y 0.918 * [backup-simplify]: Simplify (* 1 1) into 1 0.918 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.918 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 0.918 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.918 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.918 * [backup-simplify]: Simplify (- (/ 0.5 y)) into (- (* 0.5 (/ 1 y))) 0.918 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 y)))) into (- (* 0.5 (/ 1 y))) 0.918 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow y 2))) into (/ 0.25 (pow y 2)) 0.918 * [backup-simplify]: Simplify (- (/ 0.25 (pow y 2))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.918 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow y 2))))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.918 * [backup-simplify]: Simplify (* y (- (* 0.25 (/ 1 (pow y 2))))) into (/ -0.25 y) 0.918 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 y))) (/ -0.25 y)) into 2.0 0.918 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))))) in y 0.919 * [taylor]: Taking taylor expansion of -1 in y 0.919 * [backup-simplify]: Simplify -1 into -1 0.919 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in y 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 (* x y)))) in y 0.919 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [backup-simplify]: Simplify 1.0 into 1.0 0.919 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.919 * [taylor]: Taking taylor expansion of 0.5 in y 0.919 * [backup-simplify]: Simplify 0.5 into 0.5 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.919 * [taylor]: Taking taylor expansion of (* x y) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [backup-simplify]: Simplify x into x 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* x 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.919 * [taylor]: Taking taylor expansion of (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.919 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [backup-simplify]: Simplify 1.0 into 1.0 0.919 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.919 * [taylor]: Taking taylor expansion of 0.25 in y 0.919 * [backup-simplify]: Simplify 0.25 into 0.25 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.919 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [backup-simplify]: Simplify x into x 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.920 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.920 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.920 * [backup-simplify]: Simplify (- (/ 0.5 x)) into (- (* 0.5 (/ 1 x))) 0.920 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 x)))) into (- (* 0.5 (/ 1 x))) 0.920 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.920 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.920 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.920 * [backup-simplify]: Simplify (* 0 (- (* 0.25 (/ 1 (pow x 2))))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.921 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.922 * [backup-simplify]: Simplify (- 0) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (* 0.25 (/ 1 (pow x 2)))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.923 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 x))) (- (* 0.25 (/ 1 (pow x 2))))) into (* 2.0 x) 0.923 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))))) in y 0.923 * [taylor]: Taking taylor expansion of -1 in y 0.923 * [backup-simplify]: Simplify -1 into -1 0.923 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 (* x y)))) (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))))) in y 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 (* x y)))) in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [backup-simplify]: Simplify 1.0 into 1.0 0.923 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.923 * [taylor]: Taking taylor expansion of 0.5 in y 0.923 * [backup-simplify]: Simplify 0.5 into 0.5 0.923 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.923 * [taylor]: Taking taylor expansion of (* x y) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [backup-simplify]: Simplify x into x 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* x 0) into 0 0.923 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.923 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.923 * [taylor]: Taking taylor expansion of (* y (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))))) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [backup-simplify]: Simplify 1.0 into 1.0 0.923 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.923 * [taylor]: Taking taylor expansion of 0.25 in y 0.923 * [backup-simplify]: Simplify 0.25 into 0.25 0.923 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [backup-simplify]: Simplify x into x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.924 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.924 * [backup-simplify]: Simplify (- (/ 0.5 x)) into (- (* 0.5 (/ 1 x))) 0.924 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 x)))) into (- (* 0.5 (/ 1 x))) 0.924 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.924 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.924 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.925 * [backup-simplify]: Simplify (* 0 (- (* 0.25 (/ 1 (pow x 2))))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.925 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (- (* 0.25 (/ 1 (pow x 2)))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.927 * [backup-simplify]: Simplify (/ (- (* 0.5 (/ 1 x))) (- (* 0.25 (/ 1 (pow x 2))))) into (* 2.0 x) 0.927 * [backup-simplify]: Simplify (* -1 (* 2.0 x)) into (* -2.0 x) 0.927 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.927 * [taylor]: Taking taylor expansion of -2.0 in x 0.927 * [backup-simplify]: Simplify -2.0 into -2.0 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (+ (* -2.0 1) (* 0 0)) into (- 2.0) 0.928 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.928 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.929 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.931 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into 0 0.932 * [backup-simplify]: Simplify (- 0) into 0 0.932 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.932 * [backup-simplify]: Simplify (+ (* 0 1.0) (+ (* 1 0) (* 0 (- (* 0.25 (/ 1 (pow x 2))))))) into 0 0.933 * [backup-simplify]: Simplify (- (/ 1.0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (- (* 4.0 (pow x 2))) 0.933 * [backup-simplify]: Simplify (+ (* -1 (- (* 4.0 (pow x 2)))) (* 0 (* 2.0 x))) into (* 4.0 (pow x 2)) 0.933 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.933 * [taylor]: Taking taylor expansion of 4.0 in x 0.933 * [backup-simplify]: Simplify 4.0 into 4.0 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.935 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2)))))) into 0 0.938 * [backup-simplify]: Simplify (- 0) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (+ (* 0 0) (* 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into 1.0 0.939 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 4.0 (pow x 2))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (* 8.0 (pow x 3)) 0.939 * [backup-simplify]: Simplify (+ (* -1 (* 8.0 (pow x 3))) (+ (* 0 (- (* 4.0 (pow x 2)))) (* 0 (* 2.0 x)))) into (- (* 8.0 (pow x 3))) 0.939 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.940 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.940 * [taylor]: Taking taylor expansion of 8.0 in x 0.940 * [backup-simplify]: Simplify 8.0 into 8.0 0.940 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.940 * [backup-simplify]: Simplify 4.0 into 4.0 0.941 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.942 * [backup-simplify]: Simplify (- 0) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.944 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.944 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))))) into 0 0.946 * [backup-simplify]: Simplify (- 0) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 0.25 (/ 1 (pow x 2))))))))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 4.0 (pow x 2))) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (* 8.0 (pow x 3)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (- (* 16.0 (pow x 4))) 0.948 * [backup-simplify]: Simplify (+ (* -1 (- (* 16.0 (pow x 4)))) (+ (* 0 (* 8.0 (pow x 3))) (+ (* 0 (- (* 4.0 (pow x 2)))) (* 0 (* 2.0 x))))) into (* 16.0 (pow x 4)) 0.948 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.948 * [taylor]: Taking taylor expansion of 16.0 in x 0.948 * [backup-simplify]: Simplify 16.0 into 16.0 0.948 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.949 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.953 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 0.954 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2)))))))) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 (- (* 0.25 (/ 1 (pow x 2)))))))))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 2.0 x) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 4.0 (pow x 2))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (* 8.0 (pow x 3)) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 16.0 (pow x 4))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (* 32.0 (pow x 5)) 0.958 * [backup-simplify]: Simplify (+ (* -1 (* 32.0 (pow x 5))) (+ (* 0 (- (* 16.0 (pow x 4)))) (+ (* 0 (* 8.0 (pow x 3))) (+ (* 0 (- (* 4.0 (pow x 2)))) (* 0 (* 2.0 x)))))) into (- (* 32.0 (pow x 5))) 0.958 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.958 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.959 * [taylor]: Taking taylor expansion of 32.0 in x 0.959 * [backup-simplify]: Simplify 32.0 into 32.0 0.959 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.960 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.960 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.961 * [backup-simplify]: Simplify (+ (* (- 8.0) (* (pow (/ 1 (- x)) 3) (pow (/ 1 (- y)) 2))) (+ (* 4.0 (* (pow (/ 1 (- x)) 2) (/ 1 (- y)))) (* (- 2.0) (* (/ 1 (- x)) 1)))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.961 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.961 * [backup-simplify]: Simplify (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) into (/ y (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) 0.961 * [approximate]: Taking taylor expansion of (/ y (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in (y x) around 0 0.961 * [taylor]: Taking taylor expansion of (/ y (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.961 * [backup-simplify]: Simplify y into y 0.961 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (* (pow x 2) (pow y 2)))) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [backup-simplify]: Simplify 1.0 into 1.0 0.961 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in x 0.961 * [taylor]: Taking taylor expansion of 0.25 in x 0.961 * [backup-simplify]: Simplify 0.25 into 0.25 0.961 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.961 * [backup-simplify]: Simplify y into y 0.962 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.962 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 0.962 * [taylor]: Taking taylor expansion of (/ y (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (* (pow x 2) (pow y 2)))) in y 0.962 * [taylor]: Taking taylor expansion of 1.0 in y 0.962 * [backup-simplify]: Simplify 1.0 into 1.0 0.962 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in y 0.962 * [taylor]: Taking taylor expansion of 0.25 in y 0.962 * [backup-simplify]: Simplify 0.25 into 0.25 0.962 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.963 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.963 * [taylor]: Taking taylor expansion of (/ y (- 1.0 (* 0.25 (* (pow x 2) (pow y 2))))) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (* (pow x 2) (pow y 2)))) in y 0.963 * [taylor]: Taking taylor expansion of 1.0 in y 0.963 * [backup-simplify]: Simplify 1.0 into 1.0 0.963 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in y 0.963 * [taylor]: Taking taylor expansion of 0.25 in y 0.963 * [backup-simplify]: Simplify 0.25 into 0.25 0.963 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.963 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [backup-simplify]: Simplify x into x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.963 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [backup-simplify]: Simplify 1.0 into 1.0 0.963 * [backup-simplify]: Simplify 1.0 into 1.0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 0.964 * [taylor]: Taking taylor expansion of 0 in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.964 * [backup-simplify]: Simplify (* 1 1) into 1 0.965 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.965 * [backup-simplify]: Simplify (* 0.25 (pow x 2)) into (* 0.25 (pow x 2)) 0.965 * [backup-simplify]: Simplify (- (* 0.25 (pow x 2))) into (- (* 0.25 (pow x 2))) 0.965 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (pow x 2)))) into (- (* 0.25 (pow x 2))) 0.966 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- (* 0.25 (pow x 2))) 1.0)) (* 0 (/ 0 1.0)))) into (* 0.25 (pow x 2)) 0.966 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.966 * [taylor]: Taking taylor expansion of 0.25 in x 0.966 * [backup-simplify]: Simplify 0.25 into 0.25 0.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.966 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.966 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.967 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow x 2))) into 0 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0 (/ (- (* 0.25 (pow x 2))) 1.0)) (* (* 0.25 (pow x 2)) (/ 0 1.0)))) into 0 0.968 * [taylor]: Taking taylor expansion of 0 in x 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (* 1.0 (* 1 y)) into (* 1.0 y) 0.969 * [backup-simplify]: Simplify (/ (/ 1 y) (- (* 1.0 1.0) (* (/ (* (/ 1 x) (/ 1 y)) 2.0) (/ (* (/ 1 x) (/ 1 y)) 2.0)))) into (/ 1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) 0.969 * [approximate]: Taking taylor expansion of (/ 1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in (y x) around 0 0.969 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in x 0.969 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y) in x 0.969 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in x 0.969 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [backup-simplify]: Simplify 1.0 into 1.0 0.969 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.969 * [taylor]: Taking taylor expansion of 0.25 in x 0.969 * [backup-simplify]: Simplify 0.25 into 0.25 0.969 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.969 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.969 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.969 * [taylor]: Taking taylor expansion of x in x 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [backup-simplify]: Simplify y into y 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.969 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 0.969 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.969 * [taylor]: Taking taylor expansion of y in x 0.969 * [backup-simplify]: Simplify y into y 0.970 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow y 2))) into (/ 0.25 (pow y 2)) 0.970 * [backup-simplify]: Simplify (- (/ 0.25 (pow y 2))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.970 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow y 2))))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.970 * [backup-simplify]: Simplify (* (- (* 0.25 (/ 1 (pow y 2)))) y) into (/ -0.25 y) 0.970 * [backup-simplify]: Simplify (/ 1 (/ -0.25 y)) into (* -4.0 y) 0.970 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in y 0.970 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y) in y 0.970 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.970 * [taylor]: Taking taylor expansion of 1.0 in y 0.970 * [backup-simplify]: Simplify 1.0 into 1.0 0.970 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.970 * [taylor]: Taking taylor expansion of 0.25 in y 0.970 * [backup-simplify]: Simplify 0.25 into 0.25 0.970 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.970 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.970 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.970 * [backup-simplify]: Simplify x into x 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.971 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.971 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.971 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.971 * [backup-simplify]: Simplify (* (- (* 0.25 (/ 1 (pow x 2)))) 0) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.972 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 1) (* 0 0)) into (- (* 0.25 (/ 1 (pow x 2)))) 0.973 * [backup-simplify]: Simplify (/ 1 (- (* 0.25 (/ 1 (pow x 2))))) into (* -4.0 (pow x 2)) 0.973 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in y 0.973 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y) in y 0.973 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.973 * [taylor]: Taking taylor expansion of 1.0 in y 0.973 * [backup-simplify]: Simplify 1.0 into 1.0 0.973 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.974 * [taylor]: Taking taylor expansion of 0.25 in y 0.974 * [backup-simplify]: Simplify 0.25 into 0.25 0.974 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.974 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.974 * [taylor]: Taking taylor expansion of x in y 0.974 * [backup-simplify]: Simplify x into x 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.974 * [backup-simplify]: Simplify (* 1 1) into 1 0.974 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.974 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.974 * [taylor]: Taking taylor expansion of y in y 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.974 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.974 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.975 * [backup-simplify]: Simplify (* (- (* 0.25 (/ 1 (pow x 2)))) 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.975 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.976 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.976 * [backup-simplify]: Simplify (- 0) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 1) (* 0 0)) into (- (* 0.25 (/ 1 (pow x 2)))) 0.977 * [backup-simplify]: Simplify (/ 1 (- (* 0.25 (/ 1 (pow x 2))))) into (* -4.0 (pow x 2)) 0.977 * [taylor]: Taking taylor expansion of (* -4.0 (pow x 2)) in x 0.977 * [taylor]: Taking taylor expansion of -4.0 in x 0.977 * [backup-simplify]: Simplify -4.0 into -4.0 0.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify (* -4.0 1) into -4.0 0.977 * [backup-simplify]: Simplify -4.0 into -4.0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.978 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.979 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into 0 0.980 * [backup-simplify]: Simplify (- 0) into 0 0.980 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.980 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 0) (+ (* 0 1) (* 1.0 0))) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* (* -4.0 (pow x 2)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into 0 0.981 * [taylor]: Taking taylor expansion of 0 in x 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (+ (* -4.0 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2)))))) into 0 0.984 * [backup-simplify]: Simplify (- 0) into 0 0.984 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 0) (+ (* 0 0) (+ (* 1.0 1) (* 0 0)))) into 1.0 0.986 * [backup-simplify]: Simplify (- (+ (* (* -4.0 (pow x 2)) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* 0 (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (- (* 16.0 (pow x 4))) 0.986 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.986 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.986 * [taylor]: Taking taylor expansion of 16.0 in x 0.986 * [backup-simplify]: Simplify 16.0 into 16.0 0.986 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify (+ (* -4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.989 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))))) into 0 0.991 * [backup-simplify]: Simplify (- 0) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 0) (+ (* 0 0) (+ (* 1.0 0) (+ (* 0 1) (* 0 0))))) into 0 0.992 * [backup-simplify]: Simplify (- (+ (* (* -4.0 (pow x 2)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* 0 (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (- (* 16.0 (pow x 4))) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into 0 0.992 * [taylor]: Taking taylor expansion of 0 in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (* -4.0 (* (pow (/ 1 x) 2) (/ 1 y))) into (/ -4.0 (* (pow x 2) y)) 0.993 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (- (* 1.0 1.0) (* (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0) (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0)))) into (/ -1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) 0.993 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in (y x) around 0 0.993 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in x 0.993 * [taylor]: Taking taylor expansion of -1 in x 0.993 * [backup-simplify]: Simplify -1 into -1 0.993 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y) in x 0.993 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [backup-simplify]: Simplify 1.0 into 1.0 0.993 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in x 0.993 * [taylor]: Taking taylor expansion of 0.25 in x 0.993 * [backup-simplify]: Simplify 0.25 into 0.25 0.993 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x 0.993 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify 1 into 1 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [backup-simplify]: Simplify y into y 0.993 * [backup-simplify]: Simplify (* 1 1) into 1 0.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.994 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 0.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [backup-simplify]: Simplify y into y 0.994 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow y 2))) into (/ 0.25 (pow y 2)) 0.994 * [backup-simplify]: Simplify (- (/ 0.25 (pow y 2))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.994 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow y 2))))) into (- (* 0.25 (/ 1 (pow y 2)))) 0.994 * [backup-simplify]: Simplify (* (- (* 0.25 (/ 1 (pow y 2)))) y) into (/ -0.25 y) 0.994 * [backup-simplify]: Simplify (/ -1 (/ -0.25 y)) into (* 4.0 y) 0.994 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in y 0.994 * [taylor]: Taking taylor expansion of -1 in y 0.994 * [backup-simplify]: Simplify -1 into -1 0.994 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y) in y 0.994 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.994 * [taylor]: Taking taylor expansion of 1.0 in y 0.994 * [backup-simplify]: Simplify 1.0 into 1.0 0.994 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.994 * [taylor]: Taking taylor expansion of 0.25 in y 0.994 * [backup-simplify]: Simplify 0.25 into 0.25 0.994 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.994 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.994 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.994 * [taylor]: Taking taylor expansion of x in y 0.994 * [backup-simplify]: Simplify x into x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.995 * [backup-simplify]: Simplify (* 1 1) into 1 0.995 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.995 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.995 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.995 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.995 * [backup-simplify]: Simplify (* (- (* 0.25 (/ 1 (pow x 2)))) 0) into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.996 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.996 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.997 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.998 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 1) (* 0 0)) into (- (* 0.25 (/ 1 (pow x 2)))) 0.998 * [backup-simplify]: Simplify (/ -1 (- (* 0.25 (/ 1 (pow x 2))))) into (* 4.0 (pow x 2)) 0.998 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y)) in y 0.998 * [taylor]: Taking taylor expansion of -1 in y 0.998 * [backup-simplify]: Simplify -1 into -1 0.998 * [taylor]: Taking taylor expansion of (* (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) y) in y 0.998 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.25 (/ 1 (* (pow x 2) (pow y 2))))) in y 0.998 * [taylor]: Taking taylor expansion of 1.0 in y 0.998 * [backup-simplify]: Simplify 1.0 into 1.0 0.998 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (* (pow x 2) (pow y 2)))) in y 0.998 * [taylor]: Taking taylor expansion of 0.25 in y 0.998 * [backup-simplify]: Simplify 0.25 into 0.25 0.998 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y 0.998 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [backup-simplify]: Simplify x into x 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.998 * [backup-simplify]: Simplify (* 1 1) into 1 0.998 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 0.998 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 0.25 (/ 1 (pow x 2))) into (/ 0.25 (pow x 2)) 0.999 * [backup-simplify]: Simplify (- (/ 0.25 (pow x 2))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.999 * [backup-simplify]: Simplify (+ 0 (- (* 0.25 (/ 1 (pow x 2))))) into (- (* 0.25 (/ 1 (pow x 2)))) 0.999 * [backup-simplify]: Simplify (* (- (* 0.25 (/ 1 (pow x 2)))) 0) into 0 0.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.999 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.000 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.000 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (/ 1 (pow x 2)))) into 0 1.000 * [backup-simplify]: Simplify (- 0) into 0 1.001 * [backup-simplify]: Simplify (+ 0 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 1) (* 0 0)) into (- (* 0.25 (/ 1 (pow x 2)))) 1.001 * [backup-simplify]: Simplify (/ -1 (- (* 0.25 (/ 1 (pow x 2))))) into (* 4.0 (pow x 2)) 1.001 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 1.001 * [taylor]: Taking taylor expansion of 4.0 in x 1.001 * [backup-simplify]: Simplify 4.0 into 4.0 1.001 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 1.002 * [backup-simplify]: Simplify 4.0 into 4.0 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.003 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (* 0 1))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.008 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 0) (+ (* 0 1) (* 1.0 0))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 4.0 (pow x 2)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in x 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.010 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2)))))) into 0 1.012 * [backup-simplify]: Simplify (- 0) into 0 1.012 * [backup-simplify]: Simplify (+ 0 0) into 0 1.013 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 0) (+ (* 0 0) (+ (* 1.0 1) (* 0 0)))) into 1.0 1.014 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 4.0 (pow x 2)) (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* 0 (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into (* 16.0 (pow x 4)) 1.014 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 1.014 * [taylor]: Taking taylor expansion of 16.0 in x 1.014 * [backup-simplify]: Simplify 16.0 into 16.0 1.014 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.016 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.017 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))))) into 0 1.018 * [backup-simplify]: Simplify (- 0) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (+ (* (- (* 0.25 (/ 1 (pow x 2)))) 0) (+ (* 0 0) (+ (* 1.0 0) (+ (* 0 1) (* 0 0))))) into 0 1.020 * [backup-simplify]: Simplify (- (/ 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (* 4.0 (pow x 2)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))) (* 0 (/ 1.0 (- (* 0.25 (/ 1 (pow x 2)))))) (* (* 16.0 (pow x 4)) (/ 0 (- (* 0.25 (/ 1 (pow x 2)))))))) into 0 1.020 * [taylor]: Taking taylor expansion of 0 in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify (* 4.0 (* (pow (/ 1 (- x)) 2) (/ 1 (- y)))) into (/ -4.0 (* (pow x 2) y)) 1.020 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 2) 1.020 * [backup-simplify]: Simplify (* (/ (* x y) 2.0) (/ (* x y) 2.0)) into (* 0.25 (* (pow x 2) (pow y 2))) 1.020 * [approximate]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in (x y) around 0 1.020 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in y 1.020 * [taylor]: Taking taylor expansion of 0.25 in y 1.020 * [backup-simplify]: Simplify 0.25 into 0.25 1.020 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.020 * [taylor]: Taking taylor expansion of x in y 1.020 * [backup-simplify]: Simplify x into x 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.020 * [taylor]: Taking taylor expansion of y in y 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in x 1.020 * [taylor]: Taking taylor expansion of 0.25 in x 1.020 * [backup-simplify]: Simplify 0.25 into 0.25 1.020 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify 1 into 1 1.020 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.020 * [taylor]: Taking taylor expansion of y in x 1.020 * [backup-simplify]: Simplify y into y 1.021 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow x 2) (pow y 2))) in x 1.021 * [taylor]: Taking taylor expansion of 0.25 in x 1.021 * [backup-simplify]: Simplify 0.25 into 0.25 1.021 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.021 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.021 * [taylor]: Taking taylor expansion of x in x 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.021 * [taylor]: Taking taylor expansion of y in x 1.021 * [backup-simplify]: Simplify y into y 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.021 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.021 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.021 * [backup-simplify]: Simplify (* 0.25 (pow y 2)) into (* 0.25 (pow y 2)) 1.021 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 2)) in y 1.021 * [taylor]: Taking taylor expansion of 0.25 in y 1.021 * [backup-simplify]: Simplify 0.25 into 0.25 1.021 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.021 * [taylor]: Taking taylor expansion of y in y 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (* 1 1) into 1 1.022 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.022 * [backup-simplify]: Simplify 0.25 into 0.25 1.022 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.023 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (pow y 2))) into 0 1.023 * [taylor]: Taking taylor expansion of 0 in y 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 1)) into 0 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.025 * [taylor]: Taking taylor expansion of 0 in y 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.029 * [taylor]: Taking taylor expansion of 0 in y 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (* 0.25 (pow (* y x) 2)) into (* 0.25 (* (pow x 2) (pow y 2))) 1.029 * [backup-simplify]: Simplify (* (/ (* (/ 1 x) (/ 1 y)) 2.0) (/ (* (/ 1 x) (/ 1 y)) 2.0)) into (/ 0.25 (* (pow x 2) (pow y 2))) 1.029 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in (x y) around 0 1.029 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in y 1.029 * [taylor]: Taking taylor expansion of 0.25 in y 1.029 * [backup-simplify]: Simplify 0.25 into 0.25 1.029 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.029 * [backup-simplify]: Simplify x into x 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.030 * [backup-simplify]: Simplify (* 1 1) into 1 1.030 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.030 * [backup-simplify]: Simplify (/ 0.25 (pow x 2)) into (/ 0.25 (pow x 2)) 1.030 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in x 1.030 * [taylor]: Taking taylor expansion of 0.25 in x 1.030 * [backup-simplify]: Simplify 0.25 into 0.25 1.030 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [backup-simplify]: Simplify y into y 1.030 * [backup-simplify]: Simplify (* 1 1) into 1 1.030 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.030 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.030 * [backup-simplify]: Simplify (/ 0.25 (pow y 2)) into (/ 0.25 (pow y 2)) 1.030 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in x 1.030 * [taylor]: Taking taylor expansion of 0.25 in x 1.030 * [backup-simplify]: Simplify 0.25 into 0.25 1.030 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [backup-simplify]: Simplify y into y 1.031 * [backup-simplify]: Simplify (* 1 1) into 1 1.031 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.031 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.031 * [backup-simplify]: Simplify (/ 0.25 (pow y 2)) into (/ 0.25 (pow y 2)) 1.031 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of 0.25 in y 1.031 * [backup-simplify]: Simplify 0.25 into 0.25 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (* 1 1) into 1 1.032 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.032 * [backup-simplify]: Simplify 0.25 into 0.25 1.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.033 * [taylor]: Taking taylor expansion of 0 in y 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify 0 into 0 1.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.035 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.038 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.038 * [taylor]: Taking taylor expansion of 0 in y 1.038 * [backup-simplify]: Simplify 0 into 0 1.038 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.042 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (* 0.25 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)) into (* 0.25 (* (pow x 2) (pow y 2))) 1.042 * [backup-simplify]: Simplify (* (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0) (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0)) into (/ 0.25 (* (pow x 2) (pow y 2))) 1.042 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in (x y) around 0 1.042 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of 0.25 in y 1.042 * [backup-simplify]: Simplify 0.25 into 0.25 1.042 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [backup-simplify]: Simplify x into x 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 1.043 * [backup-simplify]: Simplify (/ 0.25 (pow x 2)) into (/ 0.25 (pow x 2)) 1.043 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in x 1.043 * [taylor]: Taking taylor expansion of 0.25 in x 1.043 * [backup-simplify]: Simplify 0.25 into 0.25 1.043 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [backup-simplify]: Simplify y into y 1.043 * [backup-simplify]: Simplify (* 1 1) into 1 1.043 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.043 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.043 * [backup-simplify]: Simplify (/ 0.25 (pow y 2)) into (/ 0.25 (pow y 2)) 1.044 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow x 2) (pow y 2))) in x 1.044 * [taylor]: Taking taylor expansion of 0.25 in x 1.044 * [backup-simplify]: Simplify 0.25 into 0.25 1.044 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x 1.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.044 * [taylor]: Taking taylor expansion of y in x 1.044 * [backup-simplify]: Simplify y into y 1.044 * [backup-simplify]: Simplify (* 1 1) into 1 1.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.044 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 1.044 * [backup-simplify]: Simplify (/ 0.25 (pow y 2)) into (/ 0.25 (pow y 2)) 1.044 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 1.044 * [taylor]: Taking taylor expansion of 0.25 in y 1.044 * [backup-simplify]: Simplify 0.25 into 0.25 1.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.044 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (* 1 1) into 1 1.045 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 1.045 * [backup-simplify]: Simplify 0.25 into 0.25 1.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 1.046 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in y 1.046 * [backup-simplify]: Simplify 0 into 0 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.048 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.051 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.055 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 0.25 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify (* 0.25 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)) into (* 0.25 (* (pow x 2) (pow y 2))) 1.055 * * * [progress]: simplifying candidates 1.058 * [simplify]: Simplifying: (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))) (+ (- (log y) (log (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (log (- 1.0 (/ (* x y) 2.0)))) (+ (log (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (log (- 1.0 (/ (* x y) 2.0)))) (log (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))) (exp (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))) (* (/ (* (* y y) y) (* (* (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (* (* (- 1.0 (/ (* x y) 2.0)) (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))) (* (* (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (* (* (- 1.0 (/ (* x y) 2.0)) (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0)))) (* (cbrt (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 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(cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (- 1.0 (/ (* x y) 2.0))) (* (/ (sqrt y) (sqrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (- 1.0 (/ (* x y) 2.0))) (* (/ (sqrt y) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))) (* (/ (sqrt y) (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0))) (* (/ y (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (- 1.0 (/ (* x y) 2.0))) (* (/ y (sqrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (- 1.0 (/ (* x y) 2.0))) (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))) (* (/ y (- 1.0 (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0))) (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))) (* (/ 1 (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (* (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (- 1.0 (/ (* x y) 2.0))) (* (+ (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- 1.0 (/ (* x y) 2.0))) (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (* y (- 1.0 (/ (* x y) 2.0))) (- (log y) (log (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (log (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (exp (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (/ (* (* y y) y) (* (* (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (* (cbrt (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (cbrt (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (cbrt (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (* (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (sqrt (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (sqrt (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (- y) (- (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))))) (/ (cbrt y) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) (sqrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (/ (cbrt y) (sqrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (+ 1.0 (/ (* x y) 2.0))) (/ (cbrt y) (- 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (cbrt (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 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2.0)) (- (+ (log x) (log y)) (log 2.0))) (+ (log (/ (* x y) 2.0)) (- (log (* x y)) (log 2.0))) (+ (log (/ (* x y) 2.0)) (log (/ (* x y) 2.0))) (log (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (exp (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (* (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0))) (* (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0))) (* (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0))) (* (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0))) (* (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0))) (* (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0))) (* (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* 2.0 2.0) 2.0))) (* (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* 2.0 2.0) 2.0))) (* (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0)) (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (/ (* x y) 2.0))) (* (cbrt (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (cbrt (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (cbrt (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (* (* (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (sqrt (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (sqrt (* (/ (* x y) 2.0) (/ (* x y) 2.0))) (* (* x y) (* x y)) (* 2.0 2.0) (* (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0)))) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0))) (* (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0))) (* (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0))) (* (/ x (* (cbrt 2.0) (cbrt 2.0))) (/ x (* (cbrt 2.0) (cbrt 2.0)))) (* (/ y (cbrt 2.0)) (/ y (cbrt 2.0))) (* (/ x (sqrt 2.0)) (/ x (sqrt 2.0))) (* (/ y (sqrt 2.0)) (/ y (sqrt 2.0))) (* (/ x 1) (/ x 1)) (* (/ y 2.0) (/ y 2.0)) (* 1 1) (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (* x y) (* x y)) (* (/ 1 2.0) (/ 1 2.0)) (* (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0))) (* (sqrt (/ (* x y) 2.0)) (sqrt (/ (* x y) 2.0))) (* 2 1) (* (/ (* x y) 2.0) (* (cbrt (/ (* x y) 2.0)) (cbrt (/ (* x y) 2.0)))) (* (/ (* x y) 2.0) (sqrt (/ (* x y) 2.0))) (* (/ (* x y) 2.0) (/ x (* (cbrt 2.0) (cbrt 2.0)))) (* (/ (* x y) 2.0) (/ x (sqrt 2.0))) (* (/ (* x y) 2.0) (/ x 1)) (* (/ (* x y) 2.0) 1) (* (/ (* x y) 2.0) (* x y)) (* (cbrt (/ (* x y) 2.0)) (/ (* x y) 2.0)) (* (sqrt (/ (* x y) 2.0)) (/ (* x y) 2.0)) (* (/ y (cbrt 2.0)) (/ (* x y) 2.0)) (* (/ y (sqrt 2.0)) (/ (* x y) 2.0)) (* (/ y 2.0) (/ (* x y) 2.0)) (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* (/ 1 2.0) (/ (* x y) 2.0)) (* (/ (* x y) 2.0) (* x y)) (* (* x y) (/ (* x y) 2.0)) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (* 1.0 y) (/ -4.0 (* (pow x 2) y)) (/ -4.0 (* (pow x 2) y)) (* 0.25 (* (pow x 2) (pow y 2))) (* 0.25 (* (pow x 2) (pow y 2))) (* 0.25 (* (pow x 2) (pow y 2))) 1.059 * [simplify]: Sending expressions to egg_math: (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3))) (+ (- (log h0) (log (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3))))) (log (- h1 (/ (* h2 h0) h3)))) (+ (log (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3))))) (log (- h1 (/ (* h2 h0) h3)))) (log (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3)))) (exp (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3)))) (* (/ (* (* h0 h0) h0) (* (* (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3))) (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3))))) (* (* (- h1 (/ (* h2 h0) h3)) (- h1 (/ (* h2 h0) h3))) (- h1 (/ (* h2 h0) h3)))) (* (* (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3))))) (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3))))) (* (* (- h1 (/ (* h2 h0) h3)) (- h1 (/ (* h2 h0) h3))) (- h1 (/ (* h2 h0) h3)))) (* (cbrt (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3)))) (cbrt (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3))))) (cbrt (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3)))) (* (* (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3))) (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3)))) (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)))) (- h1 (/ (* h2 h0) h3)))) (sqrt (* (/ h0 (- (* h1 h1) (* (/ (* h2 h0) h3) (/ 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(* (/ (* h2 h0) h3) (* (cbrt (/ (* h2 h0) h3)) (cbrt (/ (* h2 h0) h3)))) (* (/ (* h2 h0) h3) (sqrt (/ (* h2 h0) h3))) (* (/ (* h2 h0) h3) (/ h2 (* (cbrt h3) (cbrt h3)))) (* (/ (* h2 h0) h3) (/ h2 (sqrt h3))) (* (/ (* h2 h0) h3) (/ h2 1)) (* (/ (* h2 h0) h3) 1) (* (/ (* h2 h0) h3) (* h2 h0)) (* (cbrt (/ (* h2 h0) h3)) (/ (* h2 h0) h3)) (* (sqrt (/ (* h2 h0) h3)) (/ (* h2 h0) h3)) (* (/ h0 (cbrt h3)) (/ (* h2 h0) h3)) (* (/ h0 (sqrt h3)) (/ (* h2 h0) h3)) (* (/ h0 h3) (/ (* h2 h0) h3)) (* (/ (* h2 h0) h3) (/ (* h2 h0) h3)) (* (/ 1 h3) (/ (* h2 h0) h3)) (* (/ (* h2 h0) h3) (* h2 h0)) (* (* h2 h0) (/ (* h2 h0) h3)) (- (+ (* h1 h0) (* h4 (* (pow h2 2) (pow h0 3)))) (* h5 (* h2 (pow h0 2)))) (- (+ (* h6 (/ 1 (* (pow h2 3) (pow h0 2)))) (* h3 (/ 1 h2))) (* h7 (/ 1 (* (pow h2 2) h0)))) (- (+ (* h6 (/ 1 (* (pow h2 3) (pow h0 2)))) (* h3 (/ 1 h2))) (* h7 (/ 1 (* (pow h2 2) h0)))) (* h1 h0) (/ h8 (* (pow h2 2) h0)) (/ h8 (* (pow h2 2) h0)) (* h4 (* (pow h2 2) (pow h0 2))) (* h4 (* (pow h2 2) (pow h0 2))) (* h4 (* (pow h2 2) (pow h0 2))) 1.067 * * [simplify]: iteration 0 : 701 enodes (cost 1594 ) 1.080 * * [simplify]: iteration 1 : 3980 enodes (cost 1375 ) 1.146 * * [simplify]: iteration 2 : 5001 enodes (cost 1365 ) 1.153 * * * [progress]: adding candidates to table 1.437 * [progress]: [Phase 3 of 3] Extracting. 1.437 * * [regime]: Finding splitpoints for: (# # #) 1.437 * * * [regime-changes]: Trying 3 branch expressions: ((- x (/ y (+ 1.0 (/ (* x y) 2.0)))) y x) 1.437 * * * * [regimes]: Trying to branch on (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) from (# # #) 1.451 * * * * [regimes]: Trying to branch on y from (# # #) 1.466 * * * * [regimes]: Trying to branch on x from (# # #) 1.478 * * * [regime]: Found split indices: #