8.037 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.016 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h1 h1) h0)) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [backup-simplify]: Simplify x into x 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.046 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.046 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.047 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.047 * [backup-simplify]: Simplify (+ 0 1) into 1 0.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 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) 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [backup-simplify]: Simplify y into y 0.048 * [backup-simplify]: Simplify (+ 0 y) into y 0.048 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.048 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (sqrt 0) into 0 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.050 * [backup-simplify]: Simplify (* 1 1) into 1 0.051 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.051 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of 1/2 in y 0.051 * [backup-simplify]: Simplify 1/2 into 1/2 0.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [backup-simplify]: Simplify (sqrt 0) into 0 0.053 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.053 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.054 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.056 * [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)))))) 0.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [backup-simplify]: Simplify x into x 0.056 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (+ 0 1) into 1 0.057 * [backup-simplify]: Simplify (sqrt 0) into 0 0.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.061 * [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 0.062 * [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 1 in y 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.065 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.065 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.065 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.070 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of -1/8 in y 0.070 * [backup-simplify]: Simplify -1/8 into -1/8 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.071 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.071 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify (- 1) into -1 0.072 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.073 * [backup-simplify]: Simplify (sqrt 0) into 0 0.073 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.073 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.074 * [backup-simplify]: Simplify (sqrt 1) into 1 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (sqrt 1) into 1 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.079 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.080 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.080 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.080 * [taylor]: Taking taylor expansion of -1/2 in y 0.080 * [backup-simplify]: Simplify -1/2 into -1/2 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.081 * [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 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [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 0.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [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 0.088 * [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 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [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)) 0.090 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of -1/8 in y 0.090 * [backup-simplify]: Simplify -1/8 into -1/8 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 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 0.091 * [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 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (+ 0 y) into y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [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 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [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 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.094 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.094 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [backup-simplify]: Simplify x into x 0.094 * [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 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [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 * [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 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [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 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [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 0.101 * [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 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [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) 0.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 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 * [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 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [backup-simplify]: Simplify y into y 0.104 * [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 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.107 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (- 1) into -1 0.107 * [backup-simplify]: Simplify -1 into -1 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [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 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.109 * [backup-simplify]: Simplify (- 0) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.112 * * * [progress]: simplifying candidates 0.112 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (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))) (expm1 (+ (* x x) y)) (log1p (+ (* 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: (expm1 (sqrt (+ (* h1 h1) h0))) (log1p (sqrt (+ (* h1 h1) h0))) (log (sqrt (+ (* h1 h1) h0))) (exp (sqrt (+ (* h1 h1) h0))) (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (+ (* h1 h1) h0))) (* (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (sqrt (+ (* h1 h1) h0))) (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))) (sqrt (cbrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt 1) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (pow (* h1 h1) 3) (pow h0 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))) (sqrt (- (* h1 h1) h0)) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (expm1 (+ (* h1 h1) h0)) (log1p (+ (* h1 h1) h0)) (* (exp (* h1 h1)) (exp h0)) (log (+ (* h1 h1) h0)) (exp (+ (* h1 h1) h0)) (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0))) (cbrt (+ (* h1 h1) h0)) (* (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0)) (+ (pow (* h1 h1) 3) (pow h0 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0))) (- (* (* h1 h1) (* h1 h1)) (* h0 h0)) (- (* h1 h1) h0) (- (+ (* h2 (pow h1 2)) (- (+ (* h2 (pow h0 2)) (- (* h2 h0)))))) (+ h1 (* 1/2 (/ h0 h1))) (- (+ h1 (* 1/2 (/ h0 h1)))) (+ (pow h1 2) h0) (+ (pow h1 2) h0) (+ (pow h1 2) h0) 0.116 * * [simplify]: iteration 0 : 153 enodes (cost 160 ) 0.120 * * [simplify]: iteration 1 : 518 enodes (cost 146 ) 0.129 * * [simplify]: iteration 2 : 1716 enodes (cost 138 ) 0.166 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.168 * * * [progress]: adding candidates to table 0.250 * * [progress]: iteration 2 / 4 0.250 * * * [progress]: picking best candidate 0.254 * * * * [pick]: Picked # 0.254 * * * [progress]: localizing error 0.264 * * * [progress]: generating rewritten candidates 0.264 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.274 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.359 * * * [progress]: generating series expansions 0.359 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.359 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.359 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.359 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [backup-simplify]: Simplify x into x 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.359 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.359 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.359 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.360 * [backup-simplify]: Simplify (+ 0 1) into 1 0.360 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [backup-simplify]: Simplify y into y 0.360 * [backup-simplify]: Simplify (+ 0 y) into y 0.360 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [backup-simplify]: Simplify y into y 0.361 * [backup-simplify]: Simplify (+ 0 y) into y 0.361 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.361 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (sqrt 0) into 0 0.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.364 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.364 * [taylor]: Taking taylor expansion of 1/2 in y 0.364 * [backup-simplify]: Simplify 1/2 into 1/2 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [backup-simplify]: Simplify (sqrt 0) into 0 0.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.366 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.366 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.366 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.368 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.369 * [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)))))) 0.369 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.369 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.369 * [taylor]: Taking taylor expansion of x in y 0.369 * [backup-simplify]: Simplify x into x 0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [backup-simplify]: Simplify (sqrt 0) into 0 0.371 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [backup-simplify]: Simplify y into y 0.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (sqrt 1) into 1 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [backup-simplify]: Simplify y into y 0.374 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.376 * [taylor]: Taking taylor expansion of 1 in y 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.377 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.377 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.378 * [taylor]: Taking taylor expansion of 1/2 in y 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.378 * [backup-simplify]: Simplify 1/2 into 1/2 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.382 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of -1/8 in y 0.382 * [backup-simplify]: Simplify -1/8 into -1/8 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.384 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.384 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [backup-simplify]: Simplify x into x 0.384 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.384 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (- 1) into -1 0.385 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.385 * [backup-simplify]: Simplify (sqrt 0) into 0 0.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.386 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (sqrt 1) into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.389 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [backup-simplify]: Simplify y into y 0.389 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.390 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (sqrt 1) into 1 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.392 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.393 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.394 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.394 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.394 * [taylor]: Taking taylor expansion of -1/2 in y 0.394 * [backup-simplify]: Simplify -1/2 into -1/2 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.394 * [backup-simplify]: Simplify -1/2 into -1/2 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.400 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.404 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of -1/8 in y 0.404 * [backup-simplify]: Simplify -1/8 into -1/8 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.406 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.406 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [backup-simplify]: Simplify x into x 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.406 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.406 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.406 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.406 * [backup-simplify]: Simplify (+ 0 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [backup-simplify]: Simplify y into y 0.407 * [backup-simplify]: Simplify (+ 0 y) into y 0.407 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.407 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [backup-simplify]: Simplify y into y 0.407 * [backup-simplify]: Simplify (+ 0 y) into y 0.407 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.407 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (sqrt 0) into 0 0.409 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.410 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.410 * [taylor]: Taking taylor expansion of 1/2 in y 0.410 * [backup-simplify]: Simplify 1/2 into 1/2 0.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [backup-simplify]: Simplify (sqrt 0) into 0 0.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.412 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.412 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.412 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.414 * [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)))))) 0.414 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.414 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [backup-simplify]: Simplify x into x 0.414 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.415 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.415 * [backup-simplify]: Simplify (+ 0 1) into 1 0.415 * [backup-simplify]: Simplify (sqrt 0) into 0 0.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (/ 1 1) into 1 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [backup-simplify]: Simplify y into y 0.417 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.417 * [backup-simplify]: Simplify (+ 1 0) into 1 0.417 * [backup-simplify]: Simplify (sqrt 1) into 1 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (* 1 1) into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.419 * [backup-simplify]: Simplify (+ 1 0) into 1 0.420 * [backup-simplify]: Simplify (sqrt 1) into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.421 * [taylor]: Taking taylor expansion of 1 in y 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.423 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.423 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.423 * [taylor]: Taking taylor expansion of 1/2 in y 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.423 * [backup-simplify]: Simplify 1/2 into 1/2 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.428 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of -1/8 in y 0.428 * [backup-simplify]: Simplify -1/8 into -1/8 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.430 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.430 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.430 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.430 * [taylor]: Taking taylor expansion of x in y 0.430 * [backup-simplify]: Simplify x into x 0.430 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.430 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (- 1) into -1 0.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.431 * [backup-simplify]: Simplify (sqrt 0) into 0 0.432 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.432 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (/ 1 1) into 1 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [backup-simplify]: Simplify y into y 0.432 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.432 * [backup-simplify]: Simplify (+ 1 0) into 1 0.433 * [backup-simplify]: Simplify (sqrt 1) into 1 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.434 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [backup-simplify]: Simplify y into y 0.435 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.435 * [backup-simplify]: Simplify (+ 1 0) into 1 0.435 * [backup-simplify]: Simplify (sqrt 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.437 * [taylor]: Taking taylor expansion of 1 in y 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.438 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.439 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.439 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.439 * [taylor]: Taking taylor expansion of -1/2 in y 0.439 * [backup-simplify]: Simplify -1/2 into -1/2 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.439 * [backup-simplify]: Simplify -1/2 into -1/2 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.440 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.444 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of -1/8 in y 0.444 * [backup-simplify]: Simplify -1/8 into -1/8 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.444 * [backup-simplify]: Simplify (* 1 1) into 1 0.445 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.446 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.446 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 0.446 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.446 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [backup-simplify]: Simplify x into x 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.446 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.446 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.446 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [backup-simplify]: Simplify y into y 0.447 * [backup-simplify]: Simplify (+ 0 y) into y 0.447 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [backup-simplify]: Simplify y into y 0.447 * [backup-simplify]: Simplify (+ 0 y) into y 0.447 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.448 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (sqrt 0) into 0 0.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.450 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.450 * [taylor]: Taking taylor expansion of 1/2 in y 0.450 * [backup-simplify]: Simplify 1/2 into 1/2 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (sqrt 0) into 0 0.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.452 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.452 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.452 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.454 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.455 * [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)))))) 0.455 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.455 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [backup-simplify]: Simplify x into x 0.455 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.455 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (+ 0 1) into 1 0.456 * [backup-simplify]: Simplify (sqrt 0) into 0 0.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (/ 1 1) into 1 0.457 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [backup-simplify]: Simplify y into y 0.457 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (sqrt 1) into 1 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [backup-simplify]: Simplify y into y 0.460 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.460 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (sqrt 1) into 1 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.462 * [taylor]: Taking taylor expansion of 1 in y 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.464 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.464 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.464 * [taylor]: Taking taylor expansion of 1/2 in y 0.464 * [backup-simplify]: Simplify 1/2 into 1/2 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.464 * [backup-simplify]: Simplify 1/2 into 1/2 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.469 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of -1/8 in y 0.469 * [backup-simplify]: Simplify -1/8 into -1/8 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (* 1 1) into 1 0.469 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.470 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.470 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [backup-simplify]: Simplify x into x 0.471 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.471 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (- 1) into -1 0.471 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.472 * [backup-simplify]: Simplify (sqrt 0) into 0 0.472 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.472 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [backup-simplify]: Simplify y into y 0.473 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.475 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 1 into 1 0.475 * [backup-simplify]: Simplify (* 1 1) into 1 0.475 * [backup-simplify]: Simplify (/ 1 1) into 1 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [backup-simplify]: Simplify y into y 0.475 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.476 * [backup-simplify]: Simplify (+ 1 0) into 1 0.476 * [backup-simplify]: Simplify (sqrt 1) into 1 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.477 * [taylor]: Taking taylor expansion of 1 in y 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.479 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.479 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.479 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.479 * [taylor]: Taking taylor expansion of -1/2 in y 0.479 * [backup-simplify]: Simplify -1/2 into -1/2 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.480 * [backup-simplify]: Simplify -1/2 into -1/2 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.485 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of -1/8 in y 0.485 * [backup-simplify]: Simplify -1/8 into -1/8 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.486 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.486 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4) 0.486 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.486 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.486 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.486 * [taylor]: Taking taylor expansion of 1/4 in y 0.486 * [backup-simplify]: Simplify 1/4 into 1/4 0.486 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [backup-simplify]: Simplify x into x 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.487 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.487 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.487 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 0.487 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 0.487 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.487 * [taylor]: Taking taylor expansion of 1/4 in x 0.487 * [backup-simplify]: Simplify 1/4 into 1/4 0.487 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [backup-simplify]: Simplify y into y 0.487 * [backup-simplify]: Simplify (+ 0 y) into y 0.487 * [backup-simplify]: Simplify (log y) into (log y) 0.487 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 0.487 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 0.487 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.487 * [taylor]: Taking taylor expansion of 1/4 in x 0.487 * [backup-simplify]: Simplify 1/4 into 1/4 0.487 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.487 * [taylor]: Taking taylor expansion of y in x 0.488 * [backup-simplify]: Simplify y into y 0.488 * [backup-simplify]: Simplify (+ 0 y) into y 0.488 * [backup-simplify]: Simplify (log y) into (log y) 0.488 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 0.488 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 0.488 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.488 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.488 * [taylor]: Taking taylor expansion of 1/4 in y 0.488 * [backup-simplify]: Simplify 1/4 into 1/4 0.488 * [taylor]: Taking taylor expansion of (log y) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (log 1) into 0 0.489 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.489 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 0.489 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 0.489 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4) 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 0.490 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.491 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 0.498 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (+ 1 0) into 1 0.500 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 0.500 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y)) 0.500 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 0.500 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.500 * [taylor]: Taking taylor expansion of 1/4 in y 0.501 * [backup-simplify]: Simplify 1/4 into 1/4 0.501 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.501 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.501 * [taylor]: Taking taylor expansion of 1/4 in y 0.501 * [backup-simplify]: Simplify 1/4 into 1/4 0.501 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (log 1) into 0 0.502 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 0.502 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y)) 0.502 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4) 0.502 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 0.502 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 0.502 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.504 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0 0.505 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.506 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0 0.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 0.509 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.512 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 0.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0 0.512 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.516 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.516 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 0.517 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (pow (* 1 x) 2)) (pow y 1/4)) into (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) 0.518 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) 0.518 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.518 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.518 * [taylor]: Taking taylor expansion of 1/4 in y 0.518 * [backup-simplify]: Simplify 1/4 into 1/4 0.518 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [backup-simplify]: Simplify x into x 0.518 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (/ 1 1) into 1 0.519 * [backup-simplify]: Simplify (+ 0 1) into 1 0.519 * [backup-simplify]: Simplify (log 1) into 0 0.519 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 0.519 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y)) 0.519 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4) 0.519 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.519 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.519 * [taylor]: Taking taylor expansion of 1/4 in x 0.519 * [backup-simplify]: Simplify 1/4 into 1/4 0.520 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [backup-simplify]: Simplify y into y 0.520 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.520 * [backup-simplify]: Simplify (+ 1 0) into 1 0.521 * [backup-simplify]: Simplify (log 1) into 0 0.521 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.521 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.521 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.521 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.521 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.521 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.521 * [taylor]: Taking taylor expansion of 1/4 in x 0.521 * [backup-simplify]: Simplify 1/4 into 1/4 0.521 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [backup-simplify]: Simplify y into y 0.522 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.522 * [backup-simplify]: Simplify (+ 1 0) into 1 0.522 * [backup-simplify]: Simplify (log 1) into 0 0.523 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.523 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.523 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.523 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.523 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.523 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.523 * [taylor]: Taking taylor expansion of -1/2 in y 0.523 * [backup-simplify]: Simplify -1/2 into -1/2 0.523 * [taylor]: Taking taylor expansion of (log x) in y 0.523 * [taylor]: Taking taylor expansion of x in y 0.523 * [backup-simplify]: Simplify x into x 0.523 * [backup-simplify]: Simplify (log x) into (log x) 0.523 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 0.523 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.523 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.525 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 0.526 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.527 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 0.527 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.529 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y) 0.529 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.530 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y)) 0.530 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) 0.530 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.530 * [taylor]: Taking taylor expansion of 1/4 in y 0.530 * [backup-simplify]: Simplify 1/4 into 1/4 0.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [backup-simplify]: Simplify x into x 0.531 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.531 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 0.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 0.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.534 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.538 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.539 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.540 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 0.540 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) 0.540 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.540 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.540 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.540 * [taylor]: Taking taylor expansion of 1/4 in y 0.540 * [backup-simplify]: Simplify 1/4 into 1/4 0.540 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [backup-simplify]: Simplify x into x 0.541 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.541 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (- 1) into -1 0.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.542 * [backup-simplify]: Simplify (log -1) into (log -1) 0.542 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 0.542 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y))) 0.543 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y)))) 0.543 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.543 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.543 * [taylor]: Taking taylor expansion of 1/4 in x 0.543 * [backup-simplify]: Simplify 1/4 into 1/4 0.543 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.543 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [backup-simplify]: Simplify y into y 0.544 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.544 * [backup-simplify]: Simplify (+ 1 0) into 1 0.544 * [backup-simplify]: Simplify (log 1) into 0 0.544 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.544 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.544 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.544 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.544 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.544 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.544 * [taylor]: Taking taylor expansion of 1/4 in x 0.544 * [backup-simplify]: Simplify 1/4 into 1/4 0.545 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.545 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [backup-simplify]: Simplify y into y 0.545 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.545 * [backup-simplify]: Simplify (+ 1 0) into 1 0.546 * [backup-simplify]: Simplify (log 1) into 0 0.546 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.546 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.546 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.546 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.546 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.546 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.546 * [taylor]: Taking taylor expansion of -1/2 in y 0.546 * [backup-simplify]: Simplify -1/2 into -1/2 0.546 * [taylor]: Taking taylor expansion of (log x) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [backup-simplify]: Simplify x into x 0.546 * [backup-simplify]: Simplify (log x) into (log x) 0.546 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 0.546 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.546 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.548 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.549 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 0.549 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.550 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 0.550 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (/ 1 y)) into (- 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[taylor]: Taking taylor expansion of x in y 0.554 * [backup-simplify]: Simplify x into x 0.554 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.554 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 0.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 0.555 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 0.556 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 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y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (expm1 (sqrt (sqrt (+ (* x x) y)))) (log1p (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt 1) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* 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)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.567 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h1 h1) h0))) (log1p (sqrt (+ (* h1 h1) h0))) (log (sqrt (+ (* h1 h1) h0))) (exp (sqrt (+ (* h1 h1) h0))) (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (+ (* h1 h1) h0))) (* (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (sqrt (+ (* h1 h1) h0))) (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))) (sqrt (cbrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt 1) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (pow (* h1 h1) 3) (pow h0 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))) (sqrt (- (* h1 h1) h0)) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (expm1 (sqrt (+ (* h1 h1) h0))) (log1p (sqrt (+ (* h1 h1) h0))) (log (sqrt (+ (* h1 h1) h0))) (exp (sqrt (+ (* h1 h1) h0))) (* (cbrt (sqrt (+ (* h1 h1) h0))) (cbrt (sqrt (+ (* h1 h1) h0)))) (cbrt (sqrt (+ (* h1 h1) h0))) (* (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (sqrt (+ (* h1 h1) h0))) (sqrt (* (cbrt (+ (* h1 h1) h0)) (cbrt (+ (* h1 h1) h0)))) (sqrt (cbrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt 1) (sqrt (+ (* h1 h1) h0)) (sqrt (+ (pow (* h1 h1) 3) (pow h0 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* h0 h0) (* (* h1 h1) h0)))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))) (sqrt (- (* h1 h1) h0)) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))) (expm1 (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))) (log1p (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (* (sqrt (sqrt (+ (* h1 h1) h0))) (sqrt (sqrt (+ (* h1 h1) h0)))) (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (* (sqrt (+ (* h1 h1) h0)) (sqrt (+ (* h1 h1) h0))) (* (+ (* h1 h1) h0) (+ (* h1 h1) h0)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* h1 h1) h0)))) (log (sqrt (sqrt (+ (* h1 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0.574 * * [simplify]: iteration 0 : 279 enodes (cost 927 ) 0.581 * * [simplify]: iteration 1 : 1130 enodes (cost 856 ) 0.610 * * [simplify]: iteration 2 : 5001 enodes (cost 822 ) 0.614 * * * [progress]: adding candidates to table 0.906 * * [progress]: iteration 3 / 4 0.906 * * * [progress]: picking best candidate 0.908 * * * * [pick]: Picked # 0.909 * * * [progress]: localizing error 0.913 * * * [progress]: generating rewritten candidates 0.913 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.914 * * * [progress]: generating series expansions 0.914 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.914 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 0.914 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 0.914 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 0.914 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.914 * [taylor]: Taking taylor expansion of 1/2 in x 0.914 * [backup-simplify]: Simplify 1/2 into 1/2 0.914 * [taylor]: Taking taylor expansion of (/ y x) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [backup-simplify]: Simplify y into y 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (/ y 1) into y 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.915 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.915 * [taylor]: Taking taylor expansion of 1/2 in y 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of (/ y x) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [backup-simplify]: Simplify x into x 0.915 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [backup-simplify]: Simplify x into x 0.915 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.915 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.915 * [taylor]: Taking taylor expansion of 1/2 in y 0.915 * [backup-simplify]: Simplify 1/2 into 1/2 0.915 * [taylor]: Taking taylor expansion of (/ y x) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [backup-simplify]: Simplify x into x 0.915 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [backup-simplify]: Simplify x into x 0.915 * [backup-simplify]: Simplify (+ 0 x) into x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 1 into 1 0.915 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.916 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of 1/2 in x 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (/ 1 1) into 1 0.916 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.916 * [backup-simplify]: Simplify 1/2 into 1/2 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [taylor]: Taking taylor expansion of 0 in x 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.919 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in x 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [taylor]: Taking taylor expansion of 0 in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 0.923 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 0.923 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 0.923 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 0.923 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.923 * [taylor]: Taking taylor expansion of 1/2 in x 0.923 * [backup-simplify]: Simplify 1/2 into 1/2 0.923 * [taylor]: Taking taylor expansion of (/ x y) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [backup-simplify]: Simplify y into y 0.923 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.923 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.923 * [taylor]: Taking taylor expansion of 1/2 in y 0.923 * [backup-simplify]: Simplify 1/2 into 1/2 0.923 * [taylor]: Taking taylor expansion of (/ x y) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [backup-simplify]: Simplify x into x 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ x 1) into x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [backup-simplify]: Simplify x into x 0.924 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.924 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.924 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.924 * [taylor]: Taking taylor expansion of 1/2 in y 0.924 * [backup-simplify]: Simplify 1/2 into 1/2 0.924 * [taylor]: Taking taylor expansion of (/ x y) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [backup-simplify]: Simplify x into x 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ x 1) into x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [backup-simplify]: Simplify x into x 0.924 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.924 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.924 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.924 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.924 * [taylor]: Taking taylor expansion of 1/2 in x 0.924 * [backup-simplify]: Simplify 1/2 into 1/2 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.925 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [backup-simplify]: Simplify 1 into 1 0.926 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [taylor]: Taking taylor expansion of 0 in x 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.928 * [backup-simplify]: Simplify 1/2 into 1/2 0.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [taylor]: Taking taylor expansion of 0 in x 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 0.935 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 0.935 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 0.935 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 0.935 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.935 * [taylor]: Taking taylor expansion of 1/2 in x 0.935 * [backup-simplify]: Simplify 1/2 into 1/2 0.935 * [taylor]: Taking taylor expansion of (/ x y) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [backup-simplify]: Simplify y into y 0.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.935 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.935 * [taylor]: Taking taylor expansion of -1 in x 0.935 * [backup-simplify]: Simplify -1 into -1 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ -1 1) into -1 0.935 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.935 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.935 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.935 * [taylor]: Taking taylor expansion of 1/2 in y 0.935 * [backup-simplify]: Simplify 1/2 into 1/2 0.935 * [taylor]: Taking taylor expansion of (/ x y) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [backup-simplify]: Simplify x into x 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (/ x 1) into x 0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.936 * [taylor]: Taking taylor expansion of -1 in y 0.936 * [backup-simplify]: Simplify -1 into -1 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.936 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.936 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.936 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.936 * [taylor]: Taking taylor expansion of 1/2 in y 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of (/ x y) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (/ x 1) into x 0.936 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.936 * [taylor]: Taking taylor expansion of -1 in y 0.936 * [backup-simplify]: Simplify -1 into -1 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [backup-simplify]: Simplify x into x 0.936 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.936 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.936 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.936 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.936 * [taylor]: Taking taylor expansion of 1/2 in x 0.936 * [backup-simplify]: Simplify 1/2 into 1/2 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.941 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 0.941 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [backup-simplify]: Simplify (- 1) into -1 0.942 * [backup-simplify]: Simplify -1 into -1 0.942 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 0) into 0 0.944 * [taylor]: Taking taylor expansion of 0 in x 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (- 0) into 0 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.945 * [backup-simplify]: Simplify 1/2 into 1/2 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 0) into 0 0.947 * [taylor]: Taking taylor expansion of 0 in x 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [taylor]: Taking taylor expansion of 0 in x 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- 0) into 0 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 0.952 * * * [progress]: simplifying candidates 0.953 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.953 * [simplify]: Sending expressions to egg_math: (expm1 (fma 1/2 (/ h1 h0) h0)) (log1p (fma 1/2 (/ h1 h0) h0)) (* 1/2 (/ h1 h0)) (log (fma 1/2 (/ h1 h0) h0)) (exp (fma 1/2 (/ h1 h0) h0)) (* (cbrt (fma 1/2 (/ h1 h0) h0)) (cbrt (fma 1/2 (/ h1 h0) h0))) (cbrt (fma 1/2 (/ h1 h0) h0)) (* (* (fma 1/2 (/ h1 h0) h0) (fma 1/2 (/ h1 h0) h0)) (fma 1/2 (/ h1 h0) h0)) (sqrt (fma 1/2 (/ h1 h0) h0)) (sqrt (fma 1/2 (/ h1 h0) h0)) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) 0.955 * * [simplify]: iteration 0 : 21 enodes (cost 44 ) 0.957 * * [simplify]: iteration 1 : 48 enodes (cost 39 ) 0.959 * * [simplify]: iteration 2 : 156 enodes (cost 39 ) 0.963 * * [simplify]: iteration 3 : 585 enodes (cost 39 ) 0.979 * * [simplify]: iteration 4 : 2784 enodes (cost 39 ) 1.032 * * [simplify]: iteration 5 : 5001 enodes (cost 39 ) 1.032 * * * [progress]: adding candidates to table 1.054 * * [progress]: iteration 4 / 4 1.054 * * * [progress]: picking best candidate 1.055 * * * * [pick]: Picked # 1.055 * * * [progress]: localizing error 1.061 * * * [progress]: generating rewritten candidates 1.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.067 * * * [progress]: generating series expansions 1.067 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.067 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 1.067 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 1.068 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [backup-simplify]: Simplify x into x 1.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.068 * [taylor]: Taking taylor expansion of 1/2 in y 1.068 * [backup-simplify]: Simplify 1/2 into 1/2 1.068 * [taylor]: Taking taylor expansion of (/ y x) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [backup-simplify]: Simplify x into x 1.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.068 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.068 * [taylor]: Taking taylor expansion of 1/2 in x 1.068 * [backup-simplify]: Simplify 1/2 into 1/2 1.068 * [taylor]: Taking taylor expansion of (/ y x) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [backup-simplify]: Simplify y into y 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ y 1) into y 1.068 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.068 * [taylor]: Taking taylor expansion of 1/2 in x 1.068 * [backup-simplify]: Simplify 1/2 into 1/2 1.068 * [taylor]: Taking taylor expansion of (/ y x) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [backup-simplify]: Simplify y into y 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (/ y 1) into y 1.068 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.068 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 1.068 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.068 * [taylor]: Taking taylor expansion of 1/2 in y 1.068 * [backup-simplify]: Simplify 1/2 into 1/2 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.070 * [backup-simplify]: Simplify (+ 0 0) into 0 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.070 * [backup-simplify]: Simplify 1/2 into 1/2 1.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.072 * [backup-simplify]: Simplify (+ 1 0) into 1 1.072 * [taylor]: Taking taylor expansion of 1 in y 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 1.076 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 1.076 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.076 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.076 * [taylor]: Taking taylor expansion of 1/2 in y 1.076 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of (/ x y) in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [backup-simplify]: Simplify x into x 1.076 * [taylor]: Taking taylor expansion of y in y 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ x 1) into x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [backup-simplify]: Simplify x into x 1.076 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.076 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.076 * [taylor]: Taking taylor expansion of 1/2 in x 1.076 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of (/ x y) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [backup-simplify]: Simplify y into y 1.076 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.076 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.076 * [taylor]: Taking taylor expansion of 1/2 in x 1.076 * [backup-simplify]: Simplify 1/2 into 1/2 1.076 * [taylor]: Taking taylor expansion of (/ x y) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [backup-simplify]: Simplify y into y 1.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [backup-simplify]: Simplify (+ 0 1) into 1 1.077 * [taylor]: Taking taylor expansion of 1 in y 1.077 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 0) into 0 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.079 * [taylor]: Taking taylor expansion of 1/2 in y 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.079 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.083 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 1.083 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.083 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.083 * [taylor]: Taking taylor expansion of 1/2 in y 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of (/ x y) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [backup-simplify]: Simplify x into x 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ x 1) into x 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [backup-simplify]: Simplify x into x 1.083 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.083 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.083 * [taylor]: Taking taylor expansion of 1/2 in x 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of (/ x y) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [backup-simplify]: Simplify y into y 1.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.084 * [taylor]: Taking taylor expansion of 1/2 in x 1.084 * [backup-simplify]: Simplify 1/2 into 1/2 1.084 * [taylor]: Taking taylor expansion of (/ x y) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [taylor]: Taking taylor expansion of y in x 1.084 * [backup-simplify]: Simplify y into y 1.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [backup-simplify]: Simplify (- 1) into -1 1.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.085 * [taylor]: Taking taylor expansion of -1 in y 1.085 * [backup-simplify]: Simplify -1 into -1 1.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (- 0) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify -1 into -1 1.086 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.086 * [taylor]: Taking taylor expansion of 1/2 in y 1.086 * [backup-simplify]: Simplify 1/2 into 1/2 1.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (/ 1 1) into 1 1.087 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.087 * [backup-simplify]: Simplify 1/2 into 1/2 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 1.091 * * * [progress]: simplifying candidates 1.091 * [simplify]: Simplifying: (expm1 (+ x (* 1/2 (/ y x)))) (log1p (+ x (* 1/2 (/ y x)))) (* (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))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.091 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (* 1/2 (/ h1 h0)))) (log1p (+ h0 (* 1/2 (/ h1 h0)))) (* (exp h0) (exp (* 1/2 (/ h1 h0)))) (log (+ h0 (* 1/2 (/ h1 h0)))) (exp (+ h0 (* 1/2 (/ h1 h0)))) (* (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (cbrt (+ h0 (* 1/2 (/ h1 h0))))) (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (* (* (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0)))) (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 3) (pow (* 1/2 (/ h1 h0)) 3)) (+ (* h0 h0) (- (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* h0 (* 1/2 (/ h1 h0))))) (- (* h0 h0) (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)))) (- h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) 1.099 * * [simplify]: iteration 0 : 88 enodes (cost 84 ) 1.102 * * [simplify]: iteration 1 : 322 enodes (cost 70 ) 1.110 * * [simplify]: iteration 2 : 1253 enodes (cost 70 ) 1.136 * * [simplify]: iteration 3 : 4552 enodes (cost 70 ) 1.211 * * [simplify]: iteration 4 : 5001 enodes (cost 70 ) 1.212 * * * [progress]: adding candidates to table 1.245 * [progress]: [Phase 3 of 3] Extracting. 1.245 * * [regime]: Finding splitpoints for: (# # # #) 1.245 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.245 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.267 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.277 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.296 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.310 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.333 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.350 * * * * [regimes]: Trying to branch on y from (# # # #) 1.370 * * * * [regimes]: Trying to branch on x from (# # # #) 1.397 * * * [regime]: Found split indices: #