11.981 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.018 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) h1)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.037 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.045 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [backup-simplify]: Simplify x into x 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.045 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.046 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.046 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.046 * [backup-simplify]: Simplify (+ 0 1) into 1 0.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [backup-simplify]: Simplify y into y 0.046 * [backup-simplify]: Simplify (+ 0 y) into y 0.046 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [backup-simplify]: Simplify (+ 0 y) into y 0.047 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.047 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (sqrt 0) into 0 0.049 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.049 * [backup-simplify]: Simplify (* 1 1) into 1 0.050 * [backup-simplify]: Simplify (+ 1 0) into 1 0.050 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.050 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of 1/2 in y 0.050 * [backup-simplify]: Simplify 1/2 into 1/2 0.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (/ 1 1) into 1 0.051 * [backup-simplify]: Simplify (sqrt 0) into 0 0.051 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.052 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.052 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.052 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.055 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.055 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [backup-simplify]: Simplify x into x 0.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.056 * [backup-simplify]: Simplify (+ 0 1) into 1 0.056 * [backup-simplify]: Simplify (sqrt 0) into 0 0.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [backup-simplify]: Simplify y into y 0.057 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [backup-simplify]: Simplify (sqrt 1) into 1 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.068 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.068 * [taylor]: Taking taylor expansion of 1/2 in y 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of -1/8 in y 0.073 * [backup-simplify]: Simplify -1/8 into -1/8 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.074 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (- 1) into -1 0.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.076 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.083 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.084 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.084 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.084 * [taylor]: Taking taylor expansion of -1/2 in y 0.084 * [backup-simplify]: Simplify -1/2 into -1/2 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.084 * [backup-simplify]: Simplify -1/2 into -1/2 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.089 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of -1/8 in y 0.089 * [backup-simplify]: Simplify -1/8 into -1/8 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.091 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.091 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.091 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [backup-simplify]: Simplify y into y 0.091 * [backup-simplify]: Simplify (+ 0 y) into y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) 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 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.093 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.093 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.093 * [taylor]: Taking taylor expansion of x in y 0.093 * [backup-simplify]: Simplify x into x 0.093 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.094 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.102 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.102 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [backup-simplify]: Simplify x into x 0.102 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [backup-simplify]: Simplify y into y 0.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [backup-simplify]: Simplify y into y 0.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.104 * [backup-simplify]: Simplify (+ 1 0) into 1 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.106 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [backup-simplify]: Simplify (- 1) into -1 0.106 * [backup-simplify]: Simplify -1 into -1 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.111 * * * [progress]: simplifying candidates 0.112 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.112 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) h1))) (exp (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (+ (* h0 h0) h1))) (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (sqrt (cbrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (* (exp (* h0 h0)) (exp h1)) (log (+ (* h0 h0) h1)) (exp (+ (* h0 h0) h1)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.115 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.119 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.127 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.162 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.164 * * * [progress]: adding candidates to table 0.229 * * [progress]: iteration 2 / 4 0.229 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.263 * * * [progress]: generating series expansions 0.263 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.263 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 0.263 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 1/2 in x 0.263 * [backup-simplify]: Simplify 1/2 into 1/2 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.263 * [taylor]: Taking taylor expansion of 1/2 in y 0.263 * [backup-simplify]: Simplify 1/2 into 1/2 0.263 * [taylor]: Taking taylor expansion of (/ y x) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.263 * [taylor]: Taking taylor expansion of 1/2 in y 0.263 * [backup-simplify]: Simplify 1/2 into 1/2 0.263 * [taylor]: Taking taylor expansion of (/ y x) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.264 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.264 * [taylor]: Taking taylor expansion of 1/2 in x 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 0.268 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 0.268 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.268 * [taylor]: Taking taylor expansion of 1/2 in x 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (/ x y) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.268 * [taylor]: Taking taylor expansion of 1/2 in y 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (/ x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [backup-simplify]: Simplify x into x 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ x 1) into x 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.268 * [taylor]: Taking taylor expansion of 1/2 in y 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (/ x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [backup-simplify]: Simplify x into x 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ x 1) into x 0.269 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.269 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.269 * [taylor]: Taking taylor expansion of 1/2 in x 0.269 * [backup-simplify]: Simplify 1/2 into 1/2 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.269 * [backup-simplify]: Simplify 1/2 into 1/2 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 0.275 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 0.275 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.275 * [taylor]: Taking taylor expansion of 1/2 in x 0.275 * [backup-simplify]: Simplify 1/2 into 1/2 0.275 * [taylor]: Taking taylor expansion of (/ x y) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.275 * [taylor]: Taking taylor expansion of 1/2 in y 0.275 * [backup-simplify]: Simplify 1/2 into 1/2 0.275 * [taylor]: Taking taylor expansion of (/ x y) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [backup-simplify]: Simplify x into x 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ x 1) into x 0.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.275 * [taylor]: Taking taylor expansion of 1/2 in y 0.275 * [backup-simplify]: Simplify 1/2 into 1/2 0.275 * [taylor]: Taking taylor expansion of (/ x y) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [backup-simplify]: Simplify x into x 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ x 1) into x 0.275 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.275 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.275 * [taylor]: Taking taylor expansion of 1/2 in x 0.275 * [backup-simplify]: Simplify 1/2 into 1/2 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.276 * [backup-simplify]: Simplify 1/2 into 1/2 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 0.281 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.281 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 0.281 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [backup-simplify]: Simplify x into x 0.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.281 * [taylor]: Taking taylor expansion of 1/2 in y 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [taylor]: Taking taylor expansion of (/ y x) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [backup-simplify]: Simplify x into x 0.281 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.281 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.281 * [taylor]: Taking taylor expansion of 1/2 in x 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [taylor]: Taking taylor expansion of (/ y x) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ y 1) into y 0.282 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.282 * [taylor]: Taking taylor expansion of 1/2 in x 0.282 * [backup-simplify]: Simplify 1/2 into 1/2 0.282 * [taylor]: Taking taylor expansion of (/ y x) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ y 1) into y 0.282 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.282 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 0.282 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.282 * [taylor]: Taking taylor expansion of 1/2 in y 0.282 * [backup-simplify]: Simplify 1/2 into 1/2 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.284 * [backup-simplify]: Simplify 1/2 into 1/2 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 0.285 * [backup-simplify]: Simplify (+ 1 0) into 1 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 0.289 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 0.289 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.289 * [taylor]: Taking taylor expansion of 1/2 in y 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [taylor]: Taking taylor expansion of (/ x y) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [backup-simplify]: Simplify x into x 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ x 1) into x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [backup-simplify]: Simplify x into x 0.289 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.289 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [taylor]: Taking taylor expansion of (/ x y) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [backup-simplify]: Simplify y into y 0.289 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.290 * [taylor]: Taking taylor expansion of 1/2 in x 0.290 * [backup-simplify]: Simplify 1/2 into 1/2 0.290 * [taylor]: Taking taylor expansion of (/ x y) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [backup-simplify]: Simplify y into y 0.290 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ 0 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.292 * [taylor]: Taking taylor expansion of 1/2 in y 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.296 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 0.296 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.296 * [taylor]: Taking taylor expansion of 1/2 in y 0.296 * [backup-simplify]: Simplify 1/2 into 1/2 0.296 * [taylor]: Taking taylor expansion of (/ x y) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [backup-simplify]: Simplify x into x 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ x 1) into x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [backup-simplify]: Simplify x into x 0.296 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.297 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.297 * [taylor]: Taking taylor expansion of (/ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.297 * [taylor]: Taking taylor expansion of 1/2 in x 0.297 * [backup-simplify]: Simplify 1/2 into 1/2 0.297 * [taylor]: Taking taylor expansion of (/ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [backup-simplify]: Simplify y into y 0.297 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (- 1) into -1 0.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.298 * [taylor]: Taking taylor expansion of -1 in y 0.298 * [backup-simplify]: Simplify -1 into -1 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 0.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of 1/2 in y 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 0.305 * * * [progress]: simplifying candidates 0.305 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.305 * [simplify]: Sending expressions to egg_math: (* 1/2 (/ h0 h1)) (+ (log 1/2) (- (log h0) (log h1))) (+ (log 1/2) (log (/ h0 h1))) (log (* 1/2 (/ h0 h1))) (exp (* 1/2 (/ h0 h1))) (* (* (* 1/2 1/2) 1/2) (/ (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* (* 1/2 1/2) 1/2) (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1))) (* (cbrt (* 1/2 (/ h0 h1))) (cbrt (* 1/2 (/ h0 h1)))) (cbrt (* 1/2 (/ h0 h1))) (* (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* 1/2 (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (* 1/2 (sqrt (/ h0 h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) 1)) (* 1/2 (/ (sqrt h0) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (sqrt h0) (sqrt h1))) (* 1/2 (/ (sqrt h0) 1)) (* 1/2 (/ 1 (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ 1 (sqrt h1))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 h0) (* (cbrt 1/2) (/ h0 h1)) (* (sqrt 1/2) (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 h0) (* (exp h1) (exp (* 1/2 (/ h0 h1)))) (log (+ h1 (* 1/2 (/ h0 h1)))) (exp (+ h1 (* 1/2 (/ h0 h1)))) (* (cbrt (+ h1 (* 1/2 (/ h0 h1)))) (cbrt (+ h1 (* 1/2 (/ h0 h1))))) (cbrt (+ h1 (* 1/2 (/ h0 h1)))) (* (* (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1)))) (+ h1 (* 1/2 (/ h0 h1)))) (sqrt (+ h1 (* 1/2 (/ h0 h1)))) (sqrt (+ h1 (* 1/2 (/ h0 h1)))) (+ (pow h1 3) (pow (* 1/2 (/ h0 h1)) 3)) (+ (* h1 h1) (- (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* h1 (* 1/2 (/ h0 h1))))) (- (* h1 h1) (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)))) (- h1 (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) 0.310 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.315 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 0.337 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 0.409 * * [simplify]: iteration 3 : 5001 enodes (cost 187 ) 0.411 * * * [progress]: adding candidates to table 0.486 * * [progress]: iteration 3 / 4 0.486 * * * [progress]: picking best candidate 0.490 * * * * [pick]: Picked # 0.490 * * * [progress]: localizing error 0.501 * * * [progress]: generating rewritten candidates 0.501 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.559 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.624 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.645 * * * [progress]: generating series expansions 0.645 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.646 * [backup-simplify]: Simplify (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) into (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) 0.646 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in (x y) around 0 0.646 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.646 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.646 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [backup-simplify]: Simplify x into x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.646 * [taylor]: Taking taylor expansion of x in y 0.646 * [backup-simplify]: Simplify x into x 0.646 * [taylor]: Taking taylor expansion of y in y 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 1 into 1 0.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.646 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.646 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.647 * [backup-simplify]: Simplify (- 0) into 0 0.647 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.647 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.647 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.647 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [backup-simplify]: Simplify y into y 0.647 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [backup-simplify]: Simplify y into y 0.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.647 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.648 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.648 * [backup-simplify]: Simplify (- y) into (- y) 0.648 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.648 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.648 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.648 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.648 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [backup-simplify]: Simplify y into y 0.648 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [backup-simplify]: Simplify y into y 0.648 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.648 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.648 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.648 * [backup-simplify]: Simplify (- y) into (- y) 0.648 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.648 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.649 * [backup-simplify]: Simplify (- 0) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (- 0) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.650 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (- 0) into 0 0.651 * [backup-simplify]: Simplify (+ 1 0) into 1 0.651 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 0.651 * [taylor]: Taking taylor expansion of 1 in y 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.652 * [backup-simplify]: Simplify (- 0) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.653 * [backup-simplify]: Simplify (- 0) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))) (* 0 (/ 1 (- y))) (* 1 (/ 0 (- y))))) into 0 0.653 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.654 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 2)) (- (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) 0.654 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.654 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.654 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.654 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.654 * [taylor]: Taking taylor expansion of x in y 0.654 * [backup-simplify]: Simplify x into x 0.654 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.654 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.654 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [backup-simplify]: Simplify x into x 0.655 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.655 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.656 * [backup-simplify]: Simplify (- 1) into -1 0.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.656 * [backup-simplify]: Simplify (- 1) into -1 0.656 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.657 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.657 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.657 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (/ 1 1) into 1 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.657 * [taylor]: Taking taylor expansion of y in x 0.658 * [backup-simplify]: Simplify y into y 0.658 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.658 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.658 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.658 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify (/ 1 1) into 1 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.658 * [taylor]: Taking taylor expansion of y in x 0.658 * [backup-simplify]: Simplify y into y 0.658 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.659 * [backup-simplify]: Simplify (+ 1 0) into 1 0.659 * [backup-simplify]: Simplify (+ 1 0) into 1 0.659 * [backup-simplify]: Simplify (/ 1 1) into 1 0.659 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 1 into 1 0.659 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.660 * [backup-simplify]: Simplify (/ 1 1) into 1 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [backup-simplify]: Simplify y into y 0.660 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.660 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify (* 1 1) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [backup-simplify]: Simplify y into y 0.661 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.661 * [backup-simplify]: Simplify (+ 1 0) into 1 0.661 * [backup-simplify]: Simplify (+ 1 0) into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [taylor]: Taking taylor expansion of 1 in y 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.664 * [taylor]: Taking taylor expansion of 0 in y 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.667 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.676 * [backup-simplify]: Simplify (- 0) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.677 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.680 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.682 * [backup-simplify]: Simplify (- 0) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 0.683 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.684 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 2)) (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) 0.684 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.684 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.684 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.684 * [taylor]: Taking taylor expansion of x in y 0.684 * [backup-simplify]: Simplify x into x 0.684 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.684 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.684 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [backup-simplify]: Simplify x into x 0.685 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.685 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [backup-simplify]: Simplify 0 into 0 0.685 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.686 * [backup-simplify]: Simplify (- 1) into -1 0.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.686 * [backup-simplify]: Simplify (+ 0 1) into 1 0.686 * [backup-simplify]: Simplify (/ -1 1) into -1 0.686 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.686 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [backup-simplify]: Simplify y into y 0.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (* 1 1) into 1 0.688 * [backup-simplify]: Simplify (/ 1 1) into 1 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [backup-simplify]: Simplify y into y 0.688 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.689 * [backup-simplify]: Simplify (+ 1 0) into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.689 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.689 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (* 1 1) into 1 0.689 * [backup-simplify]: Simplify (* 1 1) into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [backup-simplify]: Simplify y into y 0.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [backup-simplify]: Simplify y into y 0.690 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.691 * [backup-simplify]: Simplify (+ 1 0) into 1 0.691 * [backup-simplify]: Simplify (+ 1 0) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of 1 in y 0.691 * [backup-simplify]: Simplify 1 into 1 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 0) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ 0 0) into 0 0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [backup-simplify]: Simplify (- 1) into -1 0.698 * [backup-simplify]: Simplify -1 into -1 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (- 0) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.705 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.707 * [backup-simplify]: Simplify (+ 0 0) into 0 0.708 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.708 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.708 * [backup-simplify]: Simplify (sqrt (/ (- (pow x 4) (pow y 2)) (- (* x x) y))) into (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) 0.708 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 0.709 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 0.709 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.709 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.709 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.709 * [backup-simplify]: Simplify x into x 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.709 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.709 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 0.709 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.710 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 0.710 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.710 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.710 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.711 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))))) into 1 0.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.711 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.711 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.711 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [backup-simplify]: Simplify y into y 0.711 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [backup-simplify]: Simplify y into y 0.711 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.711 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.711 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.712 * [backup-simplify]: Simplify (- y) into (- y) 0.712 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.712 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.712 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.712 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.712 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (- 0) into 0 0.713 * [backup-simplify]: Simplify (+ 0 0) into 0 0.713 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 0.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 0.713 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 0.713 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.713 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.713 * [taylor]: Taking taylor expansion of y in x 0.713 * [backup-simplify]: Simplify y into y 0.713 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.713 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 1 into 1 0.713 * [taylor]: Taking taylor expansion of y in x 0.713 * [backup-simplify]: Simplify y into y 0.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.713 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.713 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.713 * [backup-simplify]: Simplify (- y) into (- y) 0.713 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.714 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 0.714 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.714 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 0.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.715 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (sqrt 0) into 0 0.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [taylor]: Taking taylor expansion of 0 in y 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.716 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.717 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (* 1 1) into 1 0.717 * [backup-simplify]: Simplify (- 0) into 0 0.718 * [backup-simplify]: Simplify (+ 1 0) into 1 0.718 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 0.718 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.718 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.718 * [taylor]: Taking taylor expansion of 1/2 in y 0.718 * [backup-simplify]: Simplify 1/2 into 1/2 0.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [backup-simplify]: Simplify 0 into 0 0.718 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (/ 1 1) into 1 0.719 * [backup-simplify]: Simplify (sqrt 0) into 0 0.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.720 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.721 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.721 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.723 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.724 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.724 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 x) 4) (pow (/ 1 y) 2)) (- (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) 0.724 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.724 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.724 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.724 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [backup-simplify]: Simplify x into x 0.724 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.724 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.724 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [backup-simplify]: Simplify x into x 0.725 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.725 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (/ 1 1) into 1 0.726 * [backup-simplify]: Simplify (- 1) into -1 0.726 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.726 * [backup-simplify]: Simplify (- 1) into -1 0.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.727 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.727 * [backup-simplify]: Simplify (sqrt 0) into 0 0.728 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.728 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.728 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [backup-simplify]: Simplify y into y 0.729 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.729 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify 1 into 1 0.729 * [backup-simplify]: Simplify (* 1 1) into 1 0.729 * [backup-simplify]: Simplify (/ 1 1) into 1 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.730 * [backup-simplify]: Simplify y into y 0.730 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.730 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (+ 1 0) into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [backup-simplify]: Simplify (sqrt 1) into 1 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.734 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (* 1 1) into 1 0.734 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [backup-simplify]: Simplify y into y 0.735 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [backup-simplify]: Simplify y into y 0.736 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.736 * [backup-simplify]: Simplify (+ 1 0) into 1 0.736 * [backup-simplify]: Simplify (+ 1 0) into 1 0.736 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [backup-simplify]: Simplify (sqrt 1) into 1 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.740 * [taylor]: Taking taylor expansion of 1 in y 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of 0 in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.743 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 0.744 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.744 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.744 * [taylor]: Taking taylor expansion of 1/2 in y 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.745 * [backup-simplify]: Simplify 1/2 into 1/2 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.748 * [backup-simplify]: Simplify (- 0) into 0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.749 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.752 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.754 * [backup-simplify]: Simplify (- 0) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.756 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.756 * [taylor]: Taking taylor expansion of -1/8 in y 0.756 * [backup-simplify]: Simplify -1/8 into -1/8 0.756 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.758 * [backup-simplify]: Simplify (sqrt (/ (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 2)) (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) 0.758 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 0.758 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.758 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.758 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.758 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [backup-simplify]: Simplify x into x 0.759 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.759 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.759 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [backup-simplify]: Simplify x into x 0.759 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.760 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [backup-simplify]: Simplify (- 1) into -1 0.761 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.761 * [backup-simplify]: Simplify (+ 0 1) into 1 0.761 * [backup-simplify]: Simplify (/ -1 1) into -1 0.761 * [backup-simplify]: Simplify (sqrt 0) into 0 0.762 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.762 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.762 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.762 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.762 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.763 * [backup-simplify]: Simplify (* 1 1) into 1 0.763 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [backup-simplify]: Simplify y into y 0.763 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.763 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [backup-simplify]: Simplify y into y 0.764 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.764 * [backup-simplify]: Simplify (+ 1 0) into 1 0.764 * [backup-simplify]: Simplify (+ 1 0) into 1 0.765 * [backup-simplify]: Simplify (/ 1 1) into 1 0.765 * [backup-simplify]: Simplify (sqrt 1) into 1 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.768 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.768 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.769 * [taylor]: Taking taylor expansion of y in x 0.769 * [backup-simplify]: Simplify y into y 0.769 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.769 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 1 into 1 0.769 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.770 * [backup-simplify]: Simplify y into y 0.770 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (+ 1 0) into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.771 * [backup-simplify]: Simplify (sqrt 1) into 1 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.777 * [taylor]: Taking taylor expansion of 1 in y 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 0.781 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.781 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.781 * [taylor]: Taking taylor expansion of -1/2 in y 0.781 * [backup-simplify]: Simplify -1/2 into -1/2 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.781 * [backup-simplify]: Simplify -1/2 into -1/2 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.786 * [taylor]: Taking taylor expansion of 0 in y 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.788 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.791 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.792 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.792 * [taylor]: Taking taylor expansion of -1/8 in y 0.792 * [backup-simplify]: Simplify -1/8 into -1/8 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.793 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.794 * [backup-simplify]: Simplify (- (pow x 4) (pow y 2)) into (- (pow x 4) (pow y 2)) 0.794 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 0.794 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [backup-simplify]: Simplify x into x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [backup-simplify]: Simplify y into y 0.794 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [backup-simplify]: Simplify y into y 0.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.794 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 0.794 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 0.794 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.795 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.795 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [taylor]: Taking taylor expansion of 0 in y 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (- 1) into -1 0.796 * [backup-simplify]: Simplify -1 into -1 0.797 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.797 * [backup-simplify]: Simplify (- 0) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.799 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [taylor]: Taking taylor expansion of 1 in y 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.802 * [backup-simplify]: Simplify (- 0) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 0.803 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (pow (/ 1 y) 2)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 0.803 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.803 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.803 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [backup-simplify]: Simplify x into x 0.803 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.803 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.803 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.803 * [taylor]: Taking taylor expansion of y in y 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [backup-simplify]: Simplify y into y 0.805 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.805 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.805 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.805 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.806 * [taylor]: Taking taylor expansion of y in x 0.806 * [backup-simplify]: Simplify y into y 0.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.806 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.806 * [backup-simplify]: Simplify (+ 1 0) into 1 0.806 * [taylor]: Taking taylor expansion of 1 in y 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.813 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.813 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (* 1 1) into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [backup-simplify]: Simplify (- 1) into -1 0.814 * [backup-simplify]: Simplify -1 into -1 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 0.818 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (pow (/ 1 (- y)) 2)) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 0.818 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.819 * [taylor]: Taking taylor expansion of x in y 0.819 * [backup-simplify]: Simplify x into x 0.819 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.819 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 0.819 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* 1 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [backup-simplify]: Simplify y into y 0.820 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.820 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.820 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [backup-simplify]: Simplify y into y 0.821 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [taylor]: Taking taylor expansion of 1 in y 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 0.829 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 0.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [backup-simplify]: Simplify (- 1) into -1 0.830 * [backup-simplify]: Simplify -1 into -1 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.833 * [backup-simplify]: Simplify (- 0) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [taylor]: Taking taylor expansion of 0 in y 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (- 0) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 0.834 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.834 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.834 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.834 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.835 * [taylor]: Taking taylor expansion of x in y 0.835 * [backup-simplify]: Simplify x into x 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [backup-simplify]: Simplify y into y 0.835 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [backup-simplify]: Simplify y into y 0.835 * [backup-simplify]: Simplify (- y) into (- y) 0.835 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.835 * [taylor]: Taking taylor expansion of (- y) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (- 1) into -1 0.836 * [backup-simplify]: Simplify -1 into -1 0.836 * [backup-simplify]: Simplify (* 1 1) into 1 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 1 0) into 1 0.837 * [taylor]: Taking taylor expansion of 1 in y 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (- 0) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.838 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.838 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.838 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [backup-simplify]: Simplify x into x 0.839 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.839 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [backup-simplify]: Simplify y into y 0.840 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.840 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [backup-simplify]: Simplify y into y 0.840 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.841 * [backup-simplify]: Simplify (+ 1 0) into 1 0.841 * [taylor]: Taking taylor expansion of 1 in y 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.843 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.843 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (- 1) into -1 0.844 * [backup-simplify]: Simplify -1 into -1 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.848 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.848 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.848 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.848 * [taylor]: Taking taylor expansion of x in y 0.849 * [backup-simplify]: Simplify x into x 0.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.849 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [backup-simplify]: Simplify y into y 0.850 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [backup-simplify]: Simplify y into y 0.850 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.851 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [taylor]: Taking taylor expansion of 1 in y 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.857 * * * [progress]: simplifying 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(/ 1 1) (/ (- (pow x 4) (pow y 2)) (- (* x x) y)) (/ 1 (+ x (sqrt y))) (/ (- (pow x 4) (pow y 2)) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) 1) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) (pow (sqrt y) 2)) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) (pow (sqrt y) 2)) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) y) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) y) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) y) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) y) 1) (/ (- (pow (sqrt x) 4) y) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) y) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) y) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) 1) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) (sqrt (pow y 2))) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) (sqrt (pow y 2))) (- x (sqrt y))) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (cbrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y))) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (sqrt (- (* x x) y))) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) 1) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- (* x x) y)) (/ (+ (pow (sqrt x) 4) (pow y (/ 2 2))) (+ x (sqrt y))) (/ (- (pow (sqrt x) 4) (pow y (/ 2 2))) (- x (sqrt y))) (/ (+ (sqrt (pow x 4)) (pow (sqrt y) 2)) (* (cbrt 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(- (pow x (/ 4 2)) (pow (sqrt y) 2)) (sqrt (- (* x x) y))) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) 1) (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (- (* x x) y)) (/ (+ (pow x (/ 4 2)) (pow (sqrt y) 2)) (+ x (sqrt y))) (/ (- (pow x (/ 4 2)) (pow (sqrt y) 2)) (- x (sqrt y))) (/ (+ (pow x (/ 4 2)) y) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x (/ 4 2)) y) (cbrt (- (* x x) y))) (/ (+ (pow x (/ 4 2)) y) (sqrt (- (* x x) y))) (/ (- (pow x (/ 4 2)) y) (sqrt (- (* x x) y))) (/ (+ (pow x (/ 4 2)) y) 1) (/ (- (pow x (/ 4 2)) y) (- (* x x) y)) (/ (+ (pow x (/ 4 2)) y) (+ x (sqrt y))) (/ (- (pow x (/ 4 2)) y) (- x (sqrt y))) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (cbrt (- (* x x) y))) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) (sqrt (- (* x x) y))) (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (sqrt (- (* x x) y))) (/ (+ (pow x (/ 4 2)) (sqrt (pow y 2))) 1) (/ (- (pow x (/ 4 2)) (sqrt (pow y 2))) (- (* x x) 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(pow (* h0 h0) 3) (pow h1 3)))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) h1)))) (sqrt (/ (- (pow h0 4) (pow h1 2)) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))) (sqrt (+ (* h0 h0) h1)) (sqrt (- (pow h0 4) (pow h1 2))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (/ (- (pow h0 4) (pow h1 2)) (- (* h0 h0) h1)))) (sqrt (sqrt (/ (- (pow h0 4) (pow h1 2)) (- (* h0 h0) h1)))) (/ (exp (pow h0 4)) (exp (pow h1 2))) (log (- (pow h0 4) (pow h1 2))) (exp (- (pow h0 4) (pow h1 2))) (* (cbrt (- (pow h0 4) (pow h1 2))) (cbrt (- (pow h0 4) (pow h1 2)))) (cbrt (- (pow h0 4) (pow h1 2))) (* (* (- (pow h0 4) (pow h1 2)) (- (pow h0 4) (pow h1 2))) (- (pow h0 4) (pow h1 2))) (sqrt (- (pow h0 4) (pow h1 2))) (sqrt (- (pow h0 4) (pow h1 2))) (- (pow (pow h0 4) 3) (pow (pow h1 2) 3)) (+ (* (pow h0 4) (pow h0 4)) (+ (* (pow h1 2) (pow h1 2)) (* (pow h0 4) (pow h1 2)))) (- (pow h1 2)) (- (* (pow h0 4) (pow h0 4)) (* (pow h1 2) (pow h1 2))) (+ (pow h0 4) (pow h1 2)) (+ (pow (sqrt h0) 4) (pow (sqrt h1) 2)) (- (pow (sqrt h0) 4) (pow (sqrt h1) 2)) (+ (pow (sqrt h0) 4) h1) (- (pow (sqrt h0) 4) h1) (+ (pow (sqrt h0) 4) (sqrt (pow h1 2))) (- (pow (sqrt h0) 4) (sqrt (pow h1 2))) (+ (pow (sqrt h0) 4) (pow h1 (/ 2 2))) (- (pow (sqrt h0) 4) (pow h1 (/ 2 2))) (+ (sqrt (pow h0 4)) (pow (sqrt h1) 2)) (- (sqrt (pow h0 4)) (pow (sqrt h1) 2)) (+ (sqrt (pow h0 4)) h1) (- (sqrt (pow h0 4)) h1) (+ (sqrt (pow h0 4)) (sqrt (pow h1 2))) (- (sqrt (pow h0 4)) (sqrt (pow h1 2))) (+ (sqrt (pow h0 4)) (pow h1 (/ 2 2))) (- (sqrt (pow h0 4)) (pow h1 (/ 2 2))) (+ (pow h0 (/ 4 2)) (pow (sqrt h1) 2)) (- (pow h0 (/ 4 2)) (pow (sqrt h1) 2)) (+ (pow h0 (/ 4 2)) h1) (- (pow h0 (/ 4 2)) h1) (+ (pow h0 (/ 4 2)) (sqrt (pow h1 2))) (- (pow h0 (/ 4 2)) (sqrt (pow h1 2))) (+ (pow h0 (/ 4 2)) (pow h1 (/ 2 2))) (- (pow h0 (/ 4 2)) (pow h1 (/ 2 2))) (- (pow h0 4) (pow h1 2)) (- (pow h1 2)) (/ (exp (* h0 h0)) (exp h1)) (log (- (* h0 h0) h1)) (exp (- (* h0 h0) h1)) (* (cbrt (- (* h0 h0) h1)) (cbrt (- (* h0 h0) h1))) (cbrt (- (* h0 h0) h1)) (* (* (- (* h0 h0) h1) (- (* h0 h0) h1)) (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1)) (sqrt (- (* h0 h0) h1)) (- (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* h1 h1) (* (* h0 h0) h1))) (- h1) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (+ (* h0 h0) h1) (+ h0 (sqrt h1)) (- h0 (sqrt h1)) (- h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (- (pow h0 4) (pow h1 2)) (- (pow h0 4) (pow h1 2)) (- (pow h0 4) (pow h1 2)) (- (pow h0 2) h1) (- (pow h0 2) h1) (- (pow h0 2) h1) 0.879 * * [simplify]: iteration 0 : 743 enodes (cost 2681 ) 0.889 * * [simplify]: iteration 1 : 2147 enodes (cost 2401 ) 0.920 * * [simplify]: iteration 2 : 5001 enodes (cost 2247 ) 0.931 * * * [progress]: adding candidates to table 1.364 * * [progress]: iteration 4 / 4 1.364 * * * [progress]: picking best candidate 1.365 * * * * [pick]: Picked # 1.365 * * * [progress]: localizing error 1.370 * * * [progress]: generating rewritten candidates 1.370 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.383 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.390 * * * [progress]: generating series expansions 1.390 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.391 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 1.391 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.391 * [taylor]: Taking taylor expansion of 1/2 in x 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ y x) in x 1.391 * [taylor]: Taking taylor expansion of y in x 1.391 * [backup-simplify]: Simplify y into y 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (/ y 1) into y 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.391 * [taylor]: Taking taylor expansion of 1/2 in y 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ y x) in y 1.391 * [taylor]: Taking taylor expansion of y in y 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [taylor]: Taking taylor expansion of x in y 1.391 * [backup-simplify]: Simplify x into x 1.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.391 * [taylor]: Taking taylor expansion of 1/2 in y 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ y x) in y 1.391 * [taylor]: Taking taylor expansion of y in y 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [taylor]: Taking taylor expansion of x in y 1.391 * [backup-simplify]: Simplify x into x 1.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.391 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 1.391 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.391 * [taylor]: Taking taylor expansion of 1/2 in x 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.392 * [backup-simplify]: Simplify 1/2 into 1/2 1.392 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 1.392 * [taylor]: Taking taylor expansion of 0 in x 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.393 * [taylor]: Taking taylor expansion of 0 in x 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.395 * [taylor]: Taking taylor expansion of 0 in x 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 1.396 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 1.396 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.396 * [taylor]: Taking taylor expansion of 1/2 in x 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (/ x y) in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of y in x 1.396 * [backup-simplify]: Simplify y into y 1.396 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.396 * [taylor]: Taking taylor expansion of 1/2 in y 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (/ x y) in y 1.396 * [taylor]: Taking taylor expansion of x in y 1.396 * [backup-simplify]: Simplify x into x 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ x 1) into x 1.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.396 * [taylor]: Taking taylor expansion of 1/2 in y 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of (/ x y) in y 1.396 * [taylor]: Taking taylor expansion of x in y 1.396 * [backup-simplify]: Simplify x into x 1.396 * [taylor]: Taking taylor expansion of y in y 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ x 1) into x 1.396 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 1.396 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.396 * [taylor]: Taking taylor expansion of 1/2 in x 1.396 * [backup-simplify]: Simplify 1/2 into 1/2 1.396 * [taylor]: Taking taylor expansion of x in x 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.397 * [backup-simplify]: Simplify 1/2 into 1/2 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 1.398 * [taylor]: Taking taylor expansion of 0 in x 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 1.400 * [taylor]: Taking taylor expansion of 0 in x 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.402 * [taylor]: Taking taylor expansion of 0 in x 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 1.402 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 1.402 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.402 * [taylor]: Taking taylor expansion of 1/2 in x 1.402 * [backup-simplify]: Simplify 1/2 into 1/2 1.402 * [taylor]: Taking taylor expansion of (/ x y) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [taylor]: Taking taylor expansion of y in x 1.403 * [backup-simplify]: Simplify y into y 1.403 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.403 * [taylor]: Taking taylor expansion of 1/2 in y 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of (/ x y) in y 1.403 * [taylor]: Taking taylor expansion of x in y 1.403 * [backup-simplify]: Simplify x into x 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ x 1) into x 1.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.403 * [taylor]: Taking taylor expansion of 1/2 in y 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of (/ x y) in y 1.403 * [taylor]: Taking taylor expansion of x in y 1.403 * [backup-simplify]: Simplify x into x 1.403 * [taylor]: Taking taylor expansion of y in y 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ x 1) into x 1.403 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 1.403 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.403 * [taylor]: Taking taylor expansion of 1/2 in x 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.403 * [taylor]: Taking taylor expansion of x in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.403 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 1.404 * [taylor]: Taking taylor expansion of 0 in x 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 1.406 * [taylor]: Taking taylor expansion of 0 in x 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.412 * [taylor]: Taking taylor expansion of 0 in x 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 1.412 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.413 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 1.413 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 1.413 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.413 * [taylor]: Taking taylor expansion of x in y 1.413 * [backup-simplify]: Simplify x into x 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.413 * [taylor]: Taking taylor expansion of 1/2 in y 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of (/ y x) in y 1.413 * [taylor]: Taking taylor expansion of y in y 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of x in y 1.413 * [backup-simplify]: Simplify x into x 1.413 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.413 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.413 * [taylor]: Taking taylor expansion of 1/2 in x 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of (/ y x) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.413 * [backup-simplify]: Simplify y into y 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (/ y 1) into y 1.413 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.413 * [taylor]: Taking taylor expansion of 1/2 in x 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of (/ y x) in x 1.413 * [taylor]: Taking taylor expansion of y in x 1.413 * [backup-simplify]: Simplify y into y 1.413 * [taylor]: Taking taylor expansion of x in x 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (/ y 1) into y 1.413 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.413 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 1.413 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.413 * [taylor]: Taking taylor expansion of 1/2 in y 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of y in y 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [taylor]: Taking taylor expansion of 0 in y 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.415 * [backup-simplify]: Simplify 1/2 into 1/2 1.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.417 * [backup-simplify]: Simplify (+ 1 0) into 1 1.417 * [taylor]: Taking taylor expansion of 1 in y 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in y 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 1.420 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 1.420 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.420 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.420 * [taylor]: Taking taylor expansion of 1/2 in y 1.420 * [backup-simplify]: Simplify 1/2 into 1/2 1.420 * [taylor]: Taking taylor expansion of (/ x y) in y 1.420 * [taylor]: Taking taylor expansion of x in y 1.420 * [backup-simplify]: Simplify x into x 1.420 * [taylor]: Taking taylor expansion of y in y 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ x 1) into x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.420 * [taylor]: Taking taylor expansion of x in y 1.420 * [backup-simplify]: Simplify x into x 1.420 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.420 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.421 * [taylor]: Taking taylor expansion of 1/2 in x 1.421 * [backup-simplify]: Simplify 1/2 into 1/2 1.421 * [taylor]: Taking taylor expansion of (/ x y) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of y in x 1.421 * [backup-simplify]: Simplify y into y 1.421 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (/ 1 1) into 1 1.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.421 * [taylor]: Taking taylor expansion of 1/2 in x 1.421 * [backup-simplify]: Simplify 1/2 into 1/2 1.421 * [taylor]: Taking taylor expansion of (/ x y) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of y in x 1.421 * [backup-simplify]: Simplify y into y 1.421 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [backup-simplify]: Simplify (/ 1 1) into 1 1.422 * [backup-simplify]: Simplify (+ 0 1) into 1 1.422 * [taylor]: Taking taylor expansion of 1 in y 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [taylor]: Taking taylor expansion of 0 in y 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.423 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.423 * [taylor]: Taking taylor expansion of 1/2 in y 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.424 * [backup-simplify]: Simplify (/ 1 1) into 1 1.424 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.424 * [backup-simplify]: Simplify 1/2 into 1/2 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [taylor]: Taking taylor expansion of 0 in y 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [taylor]: Taking taylor expansion of 0 in y 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.428 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 1.428 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.428 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.428 * [taylor]: Taking taylor expansion of 1/2 in y 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of (/ x y) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [backup-simplify]: Simplify x into x 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ x 1) into x 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [backup-simplify]: Simplify x into x 1.428 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.428 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.428 * [taylor]: Taking taylor expansion of 1/2 in x 1.428 * [backup-simplify]: Simplify 1/2 into 1/2 1.428 * [taylor]: Taking taylor expansion of (/ x y) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [taylor]: Taking taylor expansion of y in x 1.428 * [backup-simplify]: Simplify y into y 1.428 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.428 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.428 * [taylor]: Taking taylor expansion of 1/2 in x 1.429 * [backup-simplify]: Simplify 1/2 into 1/2 1.429 * [taylor]: Taking taylor expansion of (/ x y) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [backup-simplify]: Simplify y into y 1.429 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (- 1) into -1 1.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.429 * [taylor]: Taking taylor expansion of -1 in y 1.429 * [backup-simplify]: Simplify -1 into -1 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.431 * [taylor]: Taking taylor expansion of 1/2 in y 1.431 * [backup-simplify]: Simplify 1/2 into 1/2 1.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.432 * [backup-simplify]: Simplify 1/2 into 1/2 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (- 0) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [taylor]: Taking taylor expansion of 0 in y 1.433 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- 0) into 0 1.436 * [backup-simplify]: Simplify (+ 0 0) into 0 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 1.436 * * * [progress]: simplifying candidates 1.437 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.437 * [simplify]: Sending expressions to egg_math: (* 1/2 (/ h0 h1)) (+ (log 1/2) (- (log h0) (log h1))) (+ (log 1/2) (log (/ h0 h1))) (log (* 1/2 (/ h0 h1))) (exp (* 1/2 (/ h0 h1))) (* (* (* 1/2 1/2) 1/2) (/ (* (* h0 h0) h0) (* (* h1 h1) h1))) (* (* (* 1/2 1/2) 1/2) (* (* (/ h0 h1) (/ h0 h1)) (/ h0 h1))) (* (cbrt (* 1/2 (/ h0 h1))) (cbrt (* 1/2 (/ h0 h1)))) (cbrt (* 1/2 (/ h0 h1))) (* (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (sqrt (* 1/2 (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (sqrt (/ h0 h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* (sqrt 1/2) (/ (sqrt h0) (sqrt h1))) (* 1/2 (* (cbrt (/ h0 h1)) (cbrt (/ h0 h1)))) (* 1/2 (sqrt (/ h0 h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) (sqrt h1))) (* 1/2 (/ (* (cbrt h0) (cbrt h0)) 1)) (* 1/2 (/ (sqrt h0) (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ (sqrt h0) (sqrt h1))) (* 1/2 (/ (sqrt h0) 1)) (* 1/2 (/ 1 (* (cbrt h1) (cbrt h1)))) (* 1/2 (/ 1 (sqrt h1))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 h0) (* (cbrt 1/2) (/ h0 h1)) (* (sqrt 1/2) (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 h0) (* (exp h1) (exp (* 1/2 (/ h0 h1)))) (log (+ h1 (* 1/2 (/ h0 h1)))) (exp (+ h1 (* 1/2 (/ h0 h1)))) (* (cbrt (+ h1 (* 1/2 (/ h0 h1)))) (cbrt (+ h1 (* 1/2 (/ h0 h1))))) (cbrt (+ h1 (* 1/2 (/ h0 h1)))) (* (* (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1)))) (+ h1 (* 1/2 (/ h0 h1)))) (sqrt (+ h1 (* 1/2 (/ h0 h1)))) (sqrt (+ h1 (* 1/2 (/ h0 h1)))) (+ (pow h1 3) (pow (* 1/2 (/ h0 h1)) 3)) (+ (* h1 h1) (- (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1))) (* h1 (* 1/2 (/ h0 h1))))) (- (* h1 h1) (* (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)))) (- h1 (* 1/2 (/ h0 h1))) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (* 1/2 (/ h0 h1)) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) 1.441 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 1.446 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 1.468 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 1.543 * * [simplify]: iteration 3 : 5001 enodes (cost 187 ) 1.544 * * * [progress]: adding candidates to table 1.617 * [progress]: [Phase 3 of 3] Extracting. 1.617 * * [regime]: Finding splitpoints for: (# # # #) 1.618 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.618 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.638 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.657 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.682 * * * * [regimes]: Trying to branch on y from (# # # #) 1.713 * * * * [regimes]: Trying to branch on x from (# # # #) 1.741 * * * [regime]: Found split indices: #