9.539 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (+ (+ (/ x 2.0) (* y x)) z) 0.017 * [simplify]: Sending expressions to egg_math: (+ (+ (/ h0 h1) (* h2 h0)) h3) 0.019 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 28 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 30 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 30 enodes (cost 3 ) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.053 * * * [progress]: generating series expansions 0.053 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.053 * [backup-simplify]: Simplify (+ (/ x 2.0) (* y x)) into (+ (* 0.5 x) (* x y)) 0.053 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in y 0.053 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.053 * [taylor]: Taking taylor expansion of 0.5 in y 0.053 * [backup-simplify]: Simplify 0.5 into 0.5 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of (* x y) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [backup-simplify]: Simplify 0.5 into 0.5 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.054 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in x 0.054 * [backup-simplify]: Simplify 0.5 into 0.5 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (* x y) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.054 * [backup-simplify]: Simplify (* 0 y) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.056 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.056 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [taylor]: Taking taylor expansion of 0.5 in y 0.056 * [backup-simplify]: Simplify 0.5 into 0.5 0.056 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.056 * [backup-simplify]: Simplify 0.5 into 0.5 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (+ 1 0) into 1 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ 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 (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 0.5 (* 1 x))) into (+ (* 0.5 x) (* x y)) 0.062 * [backup-simplify]: Simplify (+ (/ (/ 1 x) 2.0) (* (/ 1 y) (/ 1 x))) into (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) 0.062 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.062 * [taylor]: Taking taylor expansion of (* x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* x 0) into 0 0.062 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.062 * [backup-simplify]: Simplify 0.5 into 0.5 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.063 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (* 0 y) into 0 0.063 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 0.5 in x 0.063 * [backup-simplify]: Simplify 0.5 into 0.5 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.063 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (* 0 y) into 0 0.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) 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) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.064 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [backup-simplify]: Simplify 0.5 into 0.5 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.067 * [backup-simplify]: Simplify 0.5 into 0.5 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 x) (* x y)) 0.076 * [backup-simplify]: Simplify (+ (/ (/ 1 (- x)) 2.0) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) 0.076 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* x 0) into 0 0.077 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.077 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.077 * [backup-simplify]: Simplify 0.5 into 0.5 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (* 0 y) into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.077 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.077 * [backup-simplify]: Simplify 0.5 into 0.5 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (* 0 y) into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [backup-simplify]: Simplify 0.5 into 0.5 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.083 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.083 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.083 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of 0.5 in y 0.083 * [backup-simplify]: Simplify 0.5 into 0.5 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.087 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.087 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* (- 0.5) (* 1 (/ 1 (/ 1 (- x))))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 x) (* x y)) 0.097 * * * [progress]: simplifying candidates 0.098 * [simplify]: Simplifying: (expm1 (+ (/ x 2.0) (* y x))) (log1p (+ (/ x 2.0) (* y x))) (* (exp (/ x 2.0)) (exp (* y x))) (log (+ (/ x 2.0) (* y x))) (exp (+ (/ x 2.0) (* y x))) (* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x)))) (cbrt (+ (/ x 2.0) (* y x))) (* (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))) (+ (pow (/ x 2.0) 3) (pow (* y x) 3)) (+ (* (/ x 2.0) (/ x 2.0)) (- (* (* y x) (* y x)) (* (/ x 2.0) (* y x)))) (- (* (/ x 2.0) (/ x 2.0)) (* (* y x) (* y x))) (- (/ x 2.0) (* y x)) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) 0.098 * [simplify]: Sending expressions to egg_math: (expm1 (+ (/ h0 h1) (* h2 h0))) (log1p (+ (/ h0 h1) (* h2 h0))) (* (exp (/ h0 h1)) (exp (* h2 h0))) (log (+ (/ h0 h1) (* h2 h0))) (exp (+ (/ h0 h1) (* h2 h0))) (* (cbrt (+ (/ h0 h1) (* h2 h0))) (cbrt (+ (/ h0 h1) (* h2 h0)))) (cbrt (+ (/ h0 h1) (* h2 h0))) (* (* (+ (/ h0 h1) (* h2 h0)) (+ (/ h0 h1) (* h2 h0))) (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))) (+ (pow (/ h0 h1) 3) (pow (* h2 h0) 3)) (+ (* (/ h0 h1) (/ h0 h1)) (- (* (* h2 h0) (* h2 h0)) (* (/ h0 h1) (* h2 h0)))) (- (* (/ h0 h1) (/ h0 h1)) (* (* h2 h0) (* h2 h0))) (- (/ h0 h1) (* h2 h0)) (+ (* h3 h0) (* h0 h2)) (+ (* h3 h0) (* h0 h2)) (+ (* h3 h0) (* h0 h2)) 0.100 * * [simplify]: iteration 0 : 99 enodes (cost 82 ) 0.103 * * [simplify]: iteration 1 : 325 enodes (cost 72 ) 0.109 * * [simplify]: iteration 2 : 960 enodes (cost 72 ) 0.126 * * [simplify]: iteration 3 : 2740 enodes (cost 72 ) 0.170 * * [simplify]: iteration 4 : 5002 enodes (cost 72 ) 0.170 * * * [progress]: adding candidates to table 0.234 * * [progress]: iteration 2 / 4 0.234 * * * [progress]: picking best candidate 0.236 * * * * [pick]: Picked # 0.236 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.350 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.369 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.408 * * * [progress]: generating series expansions 0.408 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.409 * [backup-simplify]: Simplify (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) into (+ (* 0.5 x) (* x y)) 0.409 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in y 0.409 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.409 * [taylor]: Taking taylor expansion of 0.5 in y 0.409 * [backup-simplify]: Simplify 0.5 into 0.5 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [backup-simplify]: Simplify x into x 0.409 * [taylor]: Taking taylor expansion of (* x y) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [backup-simplify]: Simplify x into x 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.409 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.409 * [taylor]: Taking taylor expansion of 0.5 in x 0.409 * [backup-simplify]: Simplify 0.5 into 0.5 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (* x y) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.409 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.409 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.409 * [taylor]: Taking taylor expansion of 0.5 in x 0.409 * [backup-simplify]: Simplify 0.5 into 0.5 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of (* x y) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.410 * [backup-simplify]: Simplify (* 0 y) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.412 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.412 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of 0.5 in y 0.412 * [backup-simplify]: Simplify 0.5 into 0.5 0.412 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.412 * [backup-simplify]: Simplify 0.5 into 0.5 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 0.5 (* 1 x))) into (+ (* 0.5 x) (* x y)) 0.418 * [backup-simplify]: Simplify (* (sqrt (+ (/ (/ 1 x) 2.0) (* (/ 1 y) (/ 1 x)))) (sqrt (+ (/ (/ 1 x) 2.0) (* (/ 1 y) (/ 1 x))))) into (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) 0.418 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.418 * [taylor]: Taking taylor expansion of (* x y) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (* x 0) into 0 0.418 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.418 * [taylor]: Taking taylor expansion of 0.5 in y 0.418 * [backup-simplify]: Simplify 0.5 into 0.5 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.418 * [taylor]: Taking taylor expansion of (* x y) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (* 0 y) into 0 0.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.419 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of 0.5 in x 0.419 * [backup-simplify]: Simplify 0.5 into 0.5 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.419 * [taylor]: Taking taylor expansion of (* x y) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (* 0 y) into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of 0.5 in x 0.420 * [backup-simplify]: Simplify 0.5 into 0.5 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.420 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [taylor]: Taking taylor expansion of 0.5 in y 0.421 * [backup-simplify]: Simplify 0.5 into 0.5 0.421 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.424 * [backup-simplify]: Simplify 0.5 into 0.5 0.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 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 0) (* 0 y)))))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) 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 0.433 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 x) (* x y)) 0.433 * [backup-simplify]: Simplify (* (sqrt (+ (/ (/ 1 (- x)) 2.0) (* (/ 1 (- y)) (/ 1 (- x))))) (sqrt (+ (/ (/ 1 (- x)) 2.0) (* (/ 1 (- y)) (/ 1 (- x)))))) into (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) 0.433 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.434 * [taylor]: Taking taylor expansion of (* x y) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* x 0) into 0 0.434 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.434 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.434 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.434 * [taylor]: Taking taylor expansion of 0.5 in y 0.434 * [backup-simplify]: Simplify 0.5 into 0.5 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [backup-simplify]: Simplify x into x 0.434 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.434 * [taylor]: Taking taylor expansion of (* x y) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [backup-simplify]: Simplify y into y 0.434 * [backup-simplify]: Simplify (* 0 y) into 0 0.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.435 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of 0.5 in x 0.435 * [backup-simplify]: Simplify 0.5 into 0.5 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.435 * [taylor]: Taking taylor expansion of (* x y) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [backup-simplify]: Simplify (* 0 y) into 0 0.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.435 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of 0.5 in x 0.436 * [backup-simplify]: Simplify 0.5 into 0.5 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.436 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.437 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.437 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [taylor]: Taking taylor expansion of 0.5 in y 0.437 * [backup-simplify]: Simplify 0.5 into 0.5 0.437 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.440 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.441 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- 0) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (- 0) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify (+ (* (- 0.5) (* 1 (/ 1 (/ 1 (- x))))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 x) (* x y)) 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.451 * [backup-simplify]: Simplify (sqrt (+ (/ x 2.0) (* y x))) into (sqrt (+ (* 0.5 x) (* x y))) 0.451 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in y 0.451 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in y 0.451 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.451 * [taylor]: Taking taylor expansion of 0.5 in y 0.451 * [backup-simplify]: Simplify 0.5 into 0.5 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 0.451 * [taylor]: Taking taylor expansion of (* x y) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 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 0.451 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.451 * [backup-simplify]: Simplify (* x 0) into 0 0.451 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 0.451 * [backup-simplify]: Simplify (sqrt (* 0.5 x)) into (* (sqrt x) (sqrt 0.5)) 0.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 0.452 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.452 * [backup-simplify]: Simplify (+ 0 x) into x 0.452 * [backup-simplify]: Simplify (/ x (* 2 (sqrt (* 0.5 x)))) into (* 1/2 (* (sqrt x) (/ 1 (sqrt 0.5)))) 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in x 0.452 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.452 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.452 * [taylor]: Taking taylor expansion of 0.5 in x 0.452 * [backup-simplify]: Simplify 0.5 into 0.5 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (* x y) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.453 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.453 * [backup-simplify]: Simplify (* 0 y) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.454 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.454 * [backup-simplify]: Simplify (sqrt 0) into 0 0.455 * [backup-simplify]: Simplify (/ (+ y 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ y 0.5)) 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.455 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.455 * [taylor]: Taking taylor expansion of 0.5 in x 0.455 * [backup-simplify]: Simplify 0.5 into 0.5 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of (* x y) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [backup-simplify]: Simplify y into y 0.455 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.455 * [backup-simplify]: Simplify (* 0 y) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.456 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.457 * [backup-simplify]: Simplify (sqrt 0) into 0 0.457 * [backup-simplify]: Simplify (/ (+ y 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ y 0.5)) 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [taylor]: Taking taylor expansion of (* +nan.0 (+ y 0.5)) in y 0.457 * [taylor]: Taking taylor expansion of +nan.0 in y 0.457 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.457 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [taylor]: Taking taylor expansion of 0.5 in y 0.457 * [backup-simplify]: Simplify 0.5 into 0.5 0.458 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.458 * [backup-simplify]: Simplify (* +nan.0 0.5) into +nan.0 0.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.459 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ y 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0))))) 0.460 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0))))) in y 0.460 * [taylor]: Taking taylor expansion of +nan.0 in y 0.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.460 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0)))) in y 0.460 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 0.460 * [taylor]: Taking taylor expansion of +nan.0 in y 0.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.460 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 0.460 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 0.460 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.460 * [taylor]: Taking taylor expansion of +nan.0 in y 0.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 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 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.460 * [taylor]: Taking taylor expansion of +nan.0 in y 0.460 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.460 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.461 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.461 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.462 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.462 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.462 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.463 * [backup-simplify]: Simplify (+ 1 0) into 1 0.464 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0.5)) into (- +nan.0) 0.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.464 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* y x)) (+ (* +nan.0 (pow (* 1 x) 2)) (* +nan.0 (* 1 x)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 (* x y))))))) 0.465 * [backup-simplify]: Simplify (sqrt (+ (/ (/ 1 x) 2.0) (* (/ 1 y) (/ 1 x)))) into (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) 0.465 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in (x y) around 0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in y 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.465 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.465 * [taylor]: Taking taylor expansion of (* x y) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.465 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.465 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.465 * [taylor]: Taking taylor expansion of 0.5 in y 0.465 * [backup-simplify]: Simplify 0.5 into 0.5 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.465 * [taylor]: Taking taylor expansion of x in y 0.465 * [backup-simplify]: Simplify x into x 0.465 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.465 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.466 * [backup-simplify]: Simplify (sqrt 0) into 0 0.466 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.466 * [taylor]: Taking taylor expansion of (* x y) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.466 * [backup-simplify]: Simplify (* 0 y) into 0 0.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.466 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of 0.5 in x 0.466 * [backup-simplify]: Simplify 0.5 into 0.5 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.467 * [backup-simplify]: Simplify (/ 1 1) into 1 0.467 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.467 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.467 * [backup-simplify]: Simplify (sqrt 0) into 0 0.468 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 y) 0.5)) 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 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 0.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) 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) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.469 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.469 * [backup-simplify]: Simplify (sqrt 0) into 0 0.469 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 y) 0.5)) 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) 0.5)) in y 0.470 * [taylor]: Taking taylor expansion of +nan.0 in y 0.470 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [taylor]: Taking taylor expansion of 0.5 in y 0.470 * [backup-simplify]: Simplify 0.5 into 0.5 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.470 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.470 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.470 * [backup-simplify]: Simplify 0 into 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 (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (/ 1 y) 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.473 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.473 * [taylor]: Taking taylor expansion of +nan.0 in y 0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.473 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.473 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.473 * [taylor]: Taking taylor expansion of +nan.0 in y 0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.473 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.473 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of +nan.0 in y 0.473 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.474 * [taylor]: Taking taylor expansion of +nan.0 in y 0.474 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.474 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (- 0) into 0 0.476 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.476 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.476 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.477 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.477 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.478 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0) 0.479 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.480 * [backup-simplify]: Simplify (+ (* +nan.0 0.5) (* 0 1)) into (- +nan.0) 0.480 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.485 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 y)) (/ 1 x))) (* +nan.0 (* (/ 1 (/ 1 y)) 1)))) into (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) 0.485 * [backup-simplify]: Simplify (sqrt (+ (/ (/ 1 (- x)) 2.0) (* (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) 0.485 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in (x y) around 0 0.485 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in y 0.485 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.485 * [taylor]: Taking taylor expansion of (* x y) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [backup-simplify]: Simplify x into x 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* x 0) into 0 0.485 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.485 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.485 * [taylor]: Taking taylor expansion of 0.5 in y 0.485 * [backup-simplify]: Simplify 0.5 into 0.5 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [backup-simplify]: Simplify x into x 0.486 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.486 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.486 * [backup-simplify]: Simplify (sqrt 0) into 0 0.486 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.486 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.486 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.486 * [taylor]: Taking taylor expansion of (* x y) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [backup-simplify]: Simplify y into y 0.486 * [backup-simplify]: Simplify (* 0 y) into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.487 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.487 * [backup-simplify]: Simplify 0.5 into 0.5 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (/ 1 1) into 1 0.487 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.488 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.488 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.488 * [backup-simplify]: Simplify (sqrt 0) into 0 0.489 * [backup-simplify]: Simplify (/ (- (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 y) 0.5)) 0.489 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 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 0.489 * [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 (* 0.5 (/ 1 x)) 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) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.490 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.490 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.490 * [backup-simplify]: Simplify (sqrt 0) into 0 0.491 * [backup-simplify]: Simplify (/ (- (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 y) 0.5)) 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) 0.5)) in y 0.491 * [taylor]: Taking taylor expansion of +nan.0 in y 0.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of 0.5 in y 0.491 * [backup-simplify]: Simplify 0.5 into 0.5 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.492 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (/ 1 y) 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.495 * [taylor]: Taking taylor expansion of +nan.0 in y 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.495 * [taylor]: Taking taylor expansion of +nan.0 in y 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (/ 1 1) into 1 0.495 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.495 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of +nan.0 in y 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 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 (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ 1 1) into 1 0.496 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.496 * [taylor]: Taking taylor expansion of +nan.0 in y 0.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.496 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.498 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.498 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.499 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.499 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.500 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0) 0.501 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.502 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.503 * [backup-simplify]: Simplify (+ (* +nan.0 (- 0.5)) (* 0 1)) into (- +nan.0) 0.503 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.504 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* +nan.0 (* (/ 1 (/ 1 (- y))) 1)))) into (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) 0.504 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.504 * [backup-simplify]: Simplify (sqrt (+ (/ x 2.0) (* y x))) into (sqrt (+ (* 0.5 x) (* x y))) 0.504 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in y 0.504 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in y 0.504 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.504 * [taylor]: Taking taylor expansion of 0.5 in y 0.504 * [backup-simplify]: Simplify 0.5 into 0.5 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [backup-simplify]: Simplify x into x 0.504 * [taylor]: Taking taylor expansion of (* x y) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [backup-simplify]: Simplify x into x 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 (* 0.5 x) into (* 0.5 x) 0.504 * [backup-simplify]: Simplify (* x 0) into 0 0.504 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 0.504 * [backup-simplify]: Simplify (sqrt (* 0.5 x)) into (* (sqrt x) (sqrt 0.5)) 0.505 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 x)) into 0 0.505 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.505 * [backup-simplify]: Simplify (+ 0 x) into x 0.505 * [backup-simplify]: Simplify (/ x (* 2 (sqrt (* 0.5 x)))) into (* 1/2 (* (sqrt x) (/ 1 (sqrt 0.5)))) 0.505 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.505 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.505 * [taylor]: Taking taylor expansion of 0.5 in x 0.505 * [backup-simplify]: Simplify 0.5 into 0.5 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of (* x y) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [backup-simplify]: Simplify y into y 0.505 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.506 * [backup-simplify]: Simplify (* 0 y) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.507 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.507 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.507 * [backup-simplify]: Simplify (sqrt 0) into 0 0.507 * [backup-simplify]: Simplify (/ (+ y 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ y 0.5)) 0.507 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 x) (* x y))) in x 0.507 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.507 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.507 * [taylor]: Taking taylor expansion of 0.5 in x 0.508 * [backup-simplify]: Simplify 0.5 into 0.5 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of (* x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [backup-simplify]: Simplify y into y 0.508 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.508 * [backup-simplify]: Simplify (* 0 y) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.509 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.509 * [backup-simplify]: Simplify (sqrt 0) into 0 0.510 * [backup-simplify]: Simplify (/ (+ y 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ y 0.5)) 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [taylor]: Taking taylor expansion of (* +nan.0 (+ y 0.5)) in y 0.510 * [taylor]: Taking taylor expansion of +nan.0 in y 0.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.510 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.510 * [taylor]: Taking taylor expansion of 0.5 in y 0.510 * [backup-simplify]: Simplify 0.5 into 0.5 0.510 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.511 * [backup-simplify]: Simplify (* +nan.0 0.5) into +nan.0 0.511 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.513 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ y 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0))))) 0.513 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0))))) in y 0.513 * [taylor]: Taking taylor expansion of +nan.0 in y 0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.513 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 y) (- +nan.0)))) in y 0.513 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of +nan.0 in y 0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 0.513 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 0.513 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.513 * [taylor]: Taking taylor expansion of +nan.0 in y 0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.513 * [taylor]: Taking taylor expansion of +nan.0 in y 0.513 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.513 * [backup-simplify]: Simplify (* +nan.0 0) into 0 0.513 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.514 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.514 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.515 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.515 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 0.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.516 * [backup-simplify]: Simplify (+ 1 0) into 1 0.516 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0.5)) into (- +nan.0) 0.517 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.517 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* y x)) (+ (* +nan.0 (pow (* 1 x) 2)) (* +nan.0 (* 1 x)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 (* x y))))))) 0.517 * [backup-simplify]: Simplify (sqrt (+ (/ (/ 1 x) 2.0) (* (/ 1 y) (/ 1 x)))) into (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) 0.517 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in (x y) around 0 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in y 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.517 * [taylor]: Taking taylor expansion of (* x y) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [backup-simplify]: Simplify x into x 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.518 * [backup-simplify]: Simplify (* x 0) into 0 0.518 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.518 * [taylor]: Taking taylor expansion of 0.5 in y 0.518 * [backup-simplify]: Simplify 0.5 into 0.5 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [backup-simplify]: Simplify x into x 0.518 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.518 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.518 * [backup-simplify]: Simplify (sqrt 0) into 0 0.519 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.519 * [taylor]: Taking taylor expansion of (* x y) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of y in x 0.519 * [backup-simplify]: Simplify y into y 0.519 * [backup-simplify]: Simplify (* 0 y) into 0 0.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.519 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of 0.5 in x 0.519 * [backup-simplify]: Simplify 0.5 into 0.5 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.520 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.520 * [backup-simplify]: Simplify (sqrt 0) into 0 0.520 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 y) 0.5)) 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.520 * [taylor]: Taking taylor expansion of (* x y) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [taylor]: Taking taylor expansion of y in x 0.521 * [backup-simplify]: Simplify y into y 0.521 * [backup-simplify]: Simplify (* 0 y) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.521 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of 0.5 in x 0.521 * [backup-simplify]: Simplify 0.5 into 0.5 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.521 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.522 * [backup-simplify]: Simplify (sqrt 0) into 0 0.522 * [backup-simplify]: Simplify (/ (+ (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 y) 0.5)) 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) 0.5)) in y 0.522 * [taylor]: Taking taylor expansion of +nan.0 in y 0.522 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of 0.5 in y 0.523 * [backup-simplify]: Simplify 0.5 into 0.5 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.523 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.523 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.523 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (/ 1 y) 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.525 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.525 * [taylor]: Taking taylor expansion of +nan.0 in y 0.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.526 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.526 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.526 * [taylor]: Taking taylor expansion of +nan.0 in y 0.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.526 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.526 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.526 * [taylor]: Taking taylor expansion of +nan.0 in y 0.526 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.527 * [taylor]: Taking taylor expansion of +nan.0 in y 0.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.527 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.529 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.529 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.529 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.530 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.530 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.531 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0) 0.532 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.533 * [backup-simplify]: Simplify (+ (* +nan.0 0.5) (* 0 1)) into (- +nan.0) 0.533 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.534 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 y)) (/ 1 x))) (* +nan.0 (* (/ 1 (/ 1 y)) 1)))) into (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) 0.534 * [backup-simplify]: Simplify (sqrt (+ (/ (/ 1 (- x)) 2.0) (* (/ 1 (- y)) (/ 1 (- x))))) into (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) 0.534 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in (x y) around 0 0.534 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in y 0.534 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.534 * [taylor]: Taking taylor expansion of (* x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [backup-simplify]: Simplify x into x 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (* x 0) into 0 0.535 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.535 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.535 * [taylor]: Taking taylor expansion of 0.5 in y 0.535 * [backup-simplify]: Simplify 0.5 into 0.5 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.535 * [taylor]: Taking taylor expansion of x in y 0.535 * [backup-simplify]: Simplify x into x 0.535 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.535 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 0.535 * [backup-simplify]: Simplify (sqrt 0) into 0 0.536 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 0.536 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.536 * [taylor]: Taking taylor expansion of (* x y) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [backup-simplify]: Simplify y into y 0.536 * [backup-simplify]: Simplify (* 0 y) into 0 0.536 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.536 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of 0.5 in x 0.536 * [backup-simplify]: Simplify 0.5 into 0.5 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.537 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.537 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.538 * [backup-simplify]: Simplify (sqrt 0) into 0 0.538 * [backup-simplify]: Simplify (/ (- (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 y) 0.5)) 0.538 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (* x y)) (* 0.5 (/ 1 x)))) in x 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [backup-simplify]: Simplify y into y 0.538 * [backup-simplify]: Simplify (* 0 y) into 0 0.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.538 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.538 * [taylor]: Taking taylor expansion of 0.5 in x 0.538 * [backup-simplify]: Simplify 0.5 into 0.5 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.539 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.540 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.540 * [backup-simplify]: Simplify (sqrt 0) into 0 0.540 * [backup-simplify]: Simplify (/ (- (/ 1 y) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (- (/ 1 y) 0.5)) 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) 0.5)) in y 0.540 * [taylor]: Taking taylor expansion of +nan.0 in y 0.540 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.540 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [taylor]: Taking taylor expansion of 0.5 in y 0.541 * [backup-simplify]: Simplify 0.5 into 0.5 0.541 * [backup-simplify]: Simplify (+ 1 0) into 1 0.541 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (/ 1 y) 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 0.544 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.544 * [taylor]: Taking taylor expansion of +nan.0 in y 0.544 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.544 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.544 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.544 * [taylor]: Taking taylor expansion of +nan.0 in y 0.544 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.544 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.544 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.544 * [taylor]: Taking taylor expansion of +nan.0 in y 0.544 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.545 * [taylor]: Taking taylor expansion of +nan.0 in y 0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.545 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify (- 0) into 0 0.547 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.547 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 0.548 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.548 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 0.549 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 0.550 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (* 0 (- +nan.0))) into (- +nan.0) 0.550 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.551 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.552 * [backup-simplify]: Simplify (+ (* +nan.0 (- 0.5)) (* 0 1)) into (- +nan.0) 0.553 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.553 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* +nan.0 (* (/ 1 (/ 1 (- y))) 1)))) into (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) 0.553 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.553 * [backup-simplify]: Simplify (+ (/ x 2.0) (* y x)) into (+ (* 0.5 x) (* x y)) 0.553 * [approximate]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in (x y) around 0 0.553 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in y 0.553 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.553 * [taylor]: Taking taylor expansion of 0.5 in y 0.553 * [backup-simplify]: Simplify 0.5 into 0.5 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [backup-simplify]: Simplify x into x 0.554 * [taylor]: Taking taylor expansion of (* x y) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [backup-simplify]: Simplify x into x 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.554 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.554 * [taylor]: Taking taylor expansion of 0.5 in x 0.554 * [backup-simplify]: Simplify 0.5 into 0.5 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (* x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [backup-simplify]: Simplify y into y 0.554 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* x y)) in x 0.554 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.554 * [taylor]: Taking taylor expansion of 0.5 in x 0.554 * [backup-simplify]: Simplify 0.5 into 0.5 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of (* x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [backup-simplify]: Simplify y into y 0.554 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.554 * [backup-simplify]: Simplify (* 0 y) into 0 0.555 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.556 * [backup-simplify]: Simplify (+ 0.5 y) into (+ y 0.5) 0.556 * [taylor]: Taking taylor expansion of (+ y 0.5) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.556 * [backup-simplify]: Simplify 0.5 into 0.5 0.556 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.556 * [backup-simplify]: Simplify 0.5 into 0.5 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 0.5 (* 1 x))) into (+ (* 0.5 x) (* x y)) 0.562 * [backup-simplify]: Simplify (+ (/ (/ 1 x) 2.0) (* (/ 1 y) (/ 1 x))) into (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) 0.562 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.562 * [taylor]: Taking taylor expansion of (* x y) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [backup-simplify]: Simplify x into x 0.562 * [taylor]: Taking taylor expansion of y in y 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [backup-simplify]: Simplify (* x 0) into 0 0.562 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.562 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.562 * [taylor]: Taking taylor expansion of 0.5 in y 0.562 * [backup-simplify]: Simplify 0.5 into 0.5 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [backup-simplify]: Simplify x into x 0.562 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.562 * [taylor]: Taking taylor expansion of (* x y) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of y in x 0.562 * [backup-simplify]: Simplify y into y 0.562 * [backup-simplify]: Simplify (* 0 y) into 0 0.563 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.563 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of 0.5 in x 0.563 * [backup-simplify]: Simplify 0.5 into 0.5 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.563 * [taylor]: Taking taylor expansion of (* x y) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [backup-simplify]: Simplify y into y 0.563 * [backup-simplify]: Simplify (* 0 y) into 0 0.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.564 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of 0.5 in x 0.564 * [backup-simplify]: Simplify 0.5 into 0.5 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ 1 1) into 1 0.564 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.564 * [backup-simplify]: Simplify (+ (/ 1 y) 0.5) into (+ (/ 1 y) 0.5) 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 0.5) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [taylor]: Taking taylor expansion of 0.5 in y 0.565 * [backup-simplify]: Simplify 0.5 into 0.5 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 0.567 * [backup-simplify]: Simplify 0.5 into 0.5 0.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 x) (* x y)) 0.576 * [backup-simplify]: Simplify (+ (/ (/ 1 (- x)) 2.0) (* (/ 1 (- y)) (/ 1 (- x)))) into (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) 0.576 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in (x y) around 0 0.576 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.576 * [taylor]: Taking taylor expansion of (* x y) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [backup-simplify]: Simplify x into x 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.577 * [backup-simplify]: Simplify (* x 0) into 0 0.577 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.577 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.577 * [taylor]: Taking taylor expansion of 0.5 in y 0.577 * [backup-simplify]: Simplify 0.5 into 0.5 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [backup-simplify]: Simplify x into x 0.577 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.577 * [taylor]: Taking taylor expansion of (* x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [backup-simplify]: Simplify y into y 0.577 * [backup-simplify]: Simplify (* 0 y) into 0 0.577 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.577 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of 0.5 in x 0.577 * [backup-simplify]: Simplify 0.5 into 0.5 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 0.5 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [backup-simplify]: Simplify y into y 0.578 * [backup-simplify]: Simplify (* 0 y) into 0 0.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.578 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.578 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of 0.5 in x 0.578 * [backup-simplify]: Simplify 0.5 into 0.5 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.582 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.582 * [backup-simplify]: Simplify (+ (/ 1 y) (- 0.5)) into (- (/ 1 y) 0.5) 0.582 * [taylor]: Taking taylor expansion of (- (/ 1 y) 0.5) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.583 * [taylor]: Taking taylor expansion of 0.5 in y 0.583 * [backup-simplify]: Simplify 0.5 into 0.5 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- 0) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.586 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.586 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (- 0) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* (- 0.5) (* 1 (/ 1 (/ 1 (- x))))) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 x) (* x y)) 0.597 * * * [progress]: simplifying candidates 0.599 * [simplify]: Simplifying: (expm1 (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))) (log1p (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (+ 1 1) (+ (log (sqrt (+ (/ x 2.0) (* y x)))) (log (sqrt (+ (/ x 2.0) (* y x))))) (log (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))) (exp (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x))))) (* (* (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (* (* (sqrt (+ (/ x 2.0) (* y 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x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (/ x 2.0) (* y x))) (* (cbrt (sqrt (+ (/ x 2.0) (* y x)))) (cbrt (sqrt (+ (/ x 2.0) (* y x)))))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x)))))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt 1)) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (sqrt (+ (/ x 2.0) (* y x))))) (* (sqrt (+ (/ x 2.0) (* y x))) 1) (* (cbrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (cbrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (pow (/ x 2.0) 3) (pow (* y x) 3)))) (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (- (* (/ x 2.0) (/ x 2.0)) (* (* y x) (* y x))))) (* (sqrt (+ (pow (/ x 2.0) 3) (pow (* y x) 3))) (sqrt (+ (/ x 2.0) (* y x)))) (* (sqrt (- (* (/ x 2.0) (/ x 2.0)) (* (* y x) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (expm1 (sqrt (+ (/ x 2.0) (* y x)))) (log1p (sqrt (+ (/ x 2.0) (* y x)))) (log (sqrt (+ (/ x 2.0) (* y x)))) (exp (sqrt (+ (/ x 2.0) (* y x)))) (* (cbrt (sqrt (+ (/ x 2.0) (* y x)))) (cbrt (sqrt (+ (/ x 2.0) (* y x))))) (cbrt (sqrt (+ (/ x 2.0) (* y x)))) (* (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x))))) (sqrt (cbrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt 1) (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (pow (/ x 2.0) 3) (pow (* y x) 3))) (sqrt (+ (* (/ x 2.0) (/ x 2.0)) (- (* (* y x) (* y x)) (* (/ x 2.0) (* y x))))) (sqrt (- (* (/ x 2.0) (/ x 2.0)) (* (* y x) (* y x)))) (sqrt (- (/ x 2.0) (* y x))) (/ 1 2) (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (expm1 (sqrt (+ (/ x 2.0) (* y x)))) (log1p (sqrt (+ (/ x 2.0) (* y x)))) (log (sqrt (+ (/ x 2.0) (* y x)))) (exp (sqrt (+ (/ x 2.0) (* y x)))) (* (cbrt (sqrt (+ (/ x 2.0) (* y x)))) (cbrt (sqrt (+ (/ x 2.0) (* y x))))) (cbrt (sqrt (+ (/ x 2.0) (* y x)))) (* (* (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x))))) (sqrt (cbrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt (sqrt (+ (/ x 2.0) (* y x)))) (sqrt 1) (sqrt (+ (/ x 2.0) (* y x))) (sqrt (+ (pow (/ x 2.0) 3) (pow (* y x) 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+nan.0))))) (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) (- (+ (* +nan.0 (/ y x)) (- (+ (* +nan.0 y) (- +nan.0))))) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) (+ (* 0.5 x) (* x y)) 0.599 * [simplify]: Sending expressions to egg_math: (expm1 (* (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))))) (log1p (* (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (/ h0 h1) (* h2 h0)) (+ (/ h0 h1) (* h2 h0))) (* (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0)))) (* (+ (/ h0 h1) (* h2 h0)) (+ (/ h0 h1) (* h2 h0))) (+ 1 1) (+ (log (sqrt (+ (/ h0 h1) (* h2 h0)))) (log (sqrt (+ (/ h0 h1) (* h2 h0))))) (log (* (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))))) (exp (* (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))))) 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h2 h0))) (* (* (+ (/ h0 h1) (* h2 h0)) (+ (/ h0 h1) (* h2 h0))) (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))) (sqrt (+ (/ h0 h1) (* h2 h0))) (+ (pow (/ h0 h1) 3) (pow (* h2 h0) 3)) (+ (* (/ h0 h1) (/ h0 h1)) (- (* (* h2 h0) (* h2 h0)) (* (/ h0 h1) (* h2 h0)))) (- (* (/ h0 h1) (/ h0 h1)) (* (* h2 h0) (* h2 h0))) (- (/ h0 h1) (* h2 h0)) (+ (* h3 h0) (* h0 h2)) (+ (* h3 h0) (* h0 h2)) (+ (* h3 h0) (* h0 h2)) (- (+ (* h4 (pow h0 2)) (- (+ (* h4 h0) (- (* h4 (* h0 h2))))))) (- (+ (* h4 (/ h2 h0)) (- (+ (* h4 h2) (- h4))))) (- (+ (* h4 (/ h2 h0)) (- (+ (* h4 h2) (- h4))))) (- (+ (* h4 (pow h0 2)) (- (+ (* h4 h0) (- (* h4 (* h0 h2))))))) (- (+ (* h4 (/ h2 h0)) (- (+ (* h4 h2) (- h4))))) (- (+ (* h4 (/ h2 h0)) (- (+ (* h4 h2) (- h4))))) (+ (* h3 h0) (* h0 h2)) (+ (* h3 h0) (* h0 h2)) (+ (* h3 h0) (* h0 h2)) 0.605 * * [simplify]: iteration 0 : 251 enodes (cost 800 ) 0.610 * * [simplify]: iteration 1 : 934 enodes (cost 712 ) 0.633 * * [simplify]: iteration 2 : 5001 enodes (cost 686 ) 0.637 * * * [progress]: adding candidates to table 0.906 * [progress]: [Phase 3 of 3] Extracting. 0.906 * * [regime]: Finding splitpoints for: (# #) 0.907 * * * [regime-changes]: Trying 5 branch expressions: ((+ (/ x 2.0) (* y x)) (+ (+ (/ x 2.0) (* y x)) z) z y x) 0.907 * * * * [regimes]: Trying to branch on (+ (/ x 2.0) (* y x)) from (# #) 0.920 * * * * [regimes]: Trying to branch on (+ (+ (/ x 2.0) (* y x)) z) from (# #) 0.932 * * * * [regimes]: Trying to branch on z from (# #) 0.947 * * * * [regimes]: Trying to branch on y from (# #) 0.959 * * * * [regimes]: Trying to branch on x from (# #) 0.973 * * * [regime]: Found split indices: #