8.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.017 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) h1)) 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 0.023 * * * * [pick]: Picked # 0.023 * * * [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) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.049 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.050 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.050 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.050 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.050 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.050 * [backup-simplify]: Simplify (+ 0 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (+ 0 y) into y 0.051 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [backup-simplify]: Simplify y into y 0.051 * [backup-simplify]: Simplify (+ 0 y) into y 0.051 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.052 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 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 0 into 0 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.054 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.054 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.054 * [taylor]: Taking taylor expansion of 1/2 in y 0.054 * [backup-simplify]: Simplify 1/2 into 1/2 0.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (sqrt 0) into 0 0.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.056 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.056 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.056 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.059 * [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)))))) 0.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ 0 1) into 1 0.060 * [backup-simplify]: Simplify (sqrt 0) into 0 0.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (sqrt 1) into 1 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [backup-simplify]: Simplify y into y 0.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.065 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (sqrt 1) into 1 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.067 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.068 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.068 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.068 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of -1/8 in y 0.073 * [backup-simplify]: Simplify -1/8 into -1/8 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.074 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.075 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.076 * [backup-simplify]: Simplify (- 1) into -1 0.076 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.077 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (* 1 1) into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (sqrt 1) into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.080 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.084 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.085 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.085 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.085 * [taylor]: Taking taylor expansion of -1/2 in y 0.085 * [backup-simplify]: Simplify -1/2 into -1/2 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.085 * [backup-simplify]: Simplify -1/2 into -1/2 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [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 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [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 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [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 0.090 * [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 0.091 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.092 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.092 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.092 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 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 * [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 * [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 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [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 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 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 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) 0.095 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.095 * [taylor]: Taking taylor expansion of y in y 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 * [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 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [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 0.097 * [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 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [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 0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify 1 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 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.102 * [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 0.103 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.103 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.103 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [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 0.104 * [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 * [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 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [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 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [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 0.110 * [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 0.111 * [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 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [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 0.113 * [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) 0.113 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) h1))) (log1p (sqrt (+ (* h0 h0) h1))) (log (sqrt (+ (* h0 h0) h1))) (exp (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (+ (* h0 h0) h1))) (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (sqrt (cbrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (expm1 (+ (* h0 h0) h1)) (log1p (+ (* h0 h0) h1)) (* (exp (* h0 h0)) (exp h1)) (log (+ (* h0 h0) h1)) (exp (+ (* h0 h0) h1)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.116 * * [simplify]: iteration 0 : 153 enodes (cost 160 ) 0.120 * * [simplify]: iteration 1 : 518 enodes (cost 146 ) 0.130 * * [simplify]: iteration 2 : 1716 enodes (cost 138 ) 0.167 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.168 * * * [progress]: adding candidates to table 0.255 * * [progress]: iteration 2 / 4 0.255 * * * [progress]: picking best candidate 0.259 * * * * [pick]: Picked # 0.259 * * * [progress]: localizing error 0.267 * * * [progress]: generating rewritten candidates 0.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.348 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.365 * * * [progress]: generating series expansions 0.365 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.366 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.366 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [backup-simplify]: Simplify x into x 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.366 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.366 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.366 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.367 * [backup-simplify]: Simplify (+ 0 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [backup-simplify]: Simplify (+ 0 y) into y 0.367 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [backup-simplify]: Simplify y into y 0.367 * [backup-simplify]: Simplify (+ 0 y) into y 0.367 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.368 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (sqrt 0) into 0 0.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.370 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.370 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.370 * [taylor]: Taking taylor expansion of 1/2 in y 0.370 * [backup-simplify]: Simplify 1/2 into 1/2 0.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (sqrt 0) into 0 0.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.373 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.373 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.375 * [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)))))) 0.376 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.376 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [backup-simplify]: Simplify x into x 0.376 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.376 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (+ 0 1) into 1 0.377 * [backup-simplify]: Simplify (sqrt 0) into 0 0.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [backup-simplify]: Simplify y into y 0.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (* 1 1) into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [backup-simplify]: Simplify y into y 0.381 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.381 * [backup-simplify]: Simplify (+ 1 0) into 1 0.381 * [backup-simplify]: Simplify (sqrt 1) into 1 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.383 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.385 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.385 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.385 * [taylor]: Taking taylor expansion of 1/2 in y 0.385 * [backup-simplify]: Simplify 1/2 into 1/2 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.385 * [backup-simplify]: Simplify 1/2 into 1/2 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.390 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of -1/8 in y 0.390 * [backup-simplify]: Simplify -1/8 into -1/8 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.391 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.391 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [backup-simplify]: Simplify x into x 0.392 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (- 1) into -1 0.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.393 * [backup-simplify]: Simplify (sqrt 0) into 0 0.393 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.393 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [backup-simplify]: Simplify y into y 0.394 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify (sqrt 1) into 1 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [backup-simplify]: Simplify y into y 0.397 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.397 * [backup-simplify]: Simplify (+ 1 0) into 1 0.397 * [backup-simplify]: Simplify (sqrt 1) into 1 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.399 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.400 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.401 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.401 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.401 * [taylor]: Taking taylor expansion of -1/2 in y 0.401 * [backup-simplify]: Simplify -1/2 into -1/2 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.401 * [backup-simplify]: Simplify -1/2 into -1/2 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 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.407 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of -1/8 in y 0.407 * [backup-simplify]: Simplify -1/8 into -1/8 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.409 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.409 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.409 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [backup-simplify]: Simplify x into x 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.409 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.409 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.409 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (+ 0 y) into y 0.410 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [backup-simplify]: Simplify y into y 0.410 * [backup-simplify]: Simplify (+ 0 y) into y 0.410 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.411 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (sqrt 0) into 0 0.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.413 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.413 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.413 * [taylor]: Taking taylor expansion of 1/2 in y 0.413 * [backup-simplify]: Simplify 1/2 into 1/2 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (sqrt 0) into 0 0.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.415 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.415 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.415 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.417 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.417 * [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)))))) 0.418 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.418 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.418 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [backup-simplify]: Simplify (sqrt 0) into 0 0.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.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 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [backup-simplify]: Simplify y into y 0.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.421 * [backup-simplify]: Simplify (sqrt 1) into 1 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.422 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [backup-simplify]: Simplify y into y 0.423 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.423 * [backup-simplify]: Simplify (+ 1 0) into 1 0.423 * [backup-simplify]: Simplify (sqrt 1) into 1 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ 0 0) into 0 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.424 * [taylor]: Taking taylor expansion of 1 in y 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.426 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.426 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.426 * [taylor]: Taking taylor expansion of 1/2 in y 0.426 * [backup-simplify]: Simplify 1/2 into 1/2 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.427 * [backup-simplify]: Simplify 1/2 into 1/2 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.431 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of -1/8 in y 0.431 * [backup-simplify]: Simplify -1/8 into -1/8 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.433 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [backup-simplify]: Simplify x into x 0.433 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.433 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.434 * [backup-simplify]: Simplify (- 1) into -1 0.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.435 * [backup-simplify]: Simplify (sqrt 0) into 0 0.435 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.435 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (* 1 1) into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [backup-simplify]: Simplify y into y 0.436 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.437 * [backup-simplify]: Simplify (sqrt 1) into 1 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ 0 0) into 0 0.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.438 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [backup-simplify]: Simplify y into y 0.439 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.439 * [backup-simplify]: Simplify (sqrt 1) into 1 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.441 * [taylor]: Taking taylor expansion of 1 in y 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.442 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.443 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.443 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.443 * [taylor]: Taking taylor expansion of -1/2 in y 0.443 * [backup-simplify]: Simplify -1/2 into -1/2 0.443 * [taylor]: Taking taylor expansion of y in y 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.443 * [backup-simplify]: Simplify -1/2 into -1/2 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.445 * [backup-simplify]: Simplify (- 0) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.448 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of -1/8 in y 0.448 * [backup-simplify]: Simplify -1/8 into -1/8 0.448 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.449 * [backup-simplify]: Simplify (* 1 1) into 1 0.449 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.450 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.450 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 0.450 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.450 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [backup-simplify]: Simplify x into x 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 0.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.451 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.451 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.451 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.451 * [backup-simplify]: Simplify (+ 0 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.451 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [backup-simplify]: Simplify y into y 0.451 * [backup-simplify]: Simplify (+ 0 y) into y 0.451 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.452 * [backup-simplify]: Simplify (+ 0 y) into y 0.452 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.452 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (sqrt 0) into 0 0.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.454 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.454 * [taylor]: Taking taylor expansion of 1/2 in y 0.454 * [backup-simplify]: Simplify 1/2 into 1/2 0.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.454 * [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 0.455 * [backup-simplify]: Simplify (sqrt 0) into 0 0.456 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.457 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.457 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.457 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.462 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.463 * [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)))))) 0.463 * [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))) 0.463 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [backup-simplify]: Simplify x into x 0.463 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [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 1) into 1 0.464 * [backup-simplify]: Simplify (+ 0 1) into 1 0.464 * [backup-simplify]: Simplify (sqrt 0) into 0 0.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.465 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ 1 1) into 1 0.466 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [backup-simplify]: Simplify y into y 0.466 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.466 * [backup-simplify]: Simplify (+ 1 0) into 1 0.466 * [backup-simplify]: Simplify (sqrt 1) into 1 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [backup-simplify]: Simplify y into y 0.468 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.470 * [taylor]: Taking taylor expansion of 1 in y 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.472 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.472 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.472 * [taylor]: Taking taylor expansion of 1/2 in y 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.472 * [backup-simplify]: Simplify 1/2 into 1/2 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.477 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of -1/8 in y 0.477 * [backup-simplify]: Simplify -1/8 into -1/8 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* 1 1) into 1 0.478 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.479 * [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))) 0.479 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [backup-simplify]: Simplify x into x 0.479 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (- 1) into -1 0.480 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.480 * [backup-simplify]: Simplify (sqrt 0) into 0 0.481 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.481 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [backup-simplify]: Simplify y into y 0.482 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.482 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [backup-simplify]: Simplify (sqrt 1) into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.484 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.484 * [backup-simplify]: Simplify (* 1 1) into 1 0.484 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [backup-simplify]: Simplify y into y 0.484 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.485 * [backup-simplify]: Simplify (+ 1 0) into 1 0.485 * [backup-simplify]: Simplify (sqrt 1) into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [taylor]: Taking taylor expansion of 1 in y 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.488 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.489 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.489 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.489 * [taylor]: Taking taylor expansion of -1/2 in y 0.489 * [backup-simplify]: Simplify -1/2 into -1/2 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.489 * [backup-simplify]: Simplify -1/2 into -1/2 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.494 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.494 * [taylor]: Taking taylor expansion of -1/8 in y 0.494 * [backup-simplify]: Simplify -1/8 into -1/8 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.496 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4) 0.496 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.496 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.496 * [taylor]: Taking taylor expansion of 1/4 in y 0.496 * [backup-simplify]: Simplify 1/4 into 1/4 0.496 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [backup-simplify]: Simplify x into x 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.497 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.497 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 0.497 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 0.497 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 0.497 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.497 * [taylor]: Taking taylor expansion of 1/4 in x 0.497 * [backup-simplify]: Simplify 1/4 into 1/4 0.497 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [backup-simplify]: Simplify y into y 0.497 * [backup-simplify]: Simplify (+ 0 y) into y 0.497 * [backup-simplify]: Simplify (log y) into (log y) 0.497 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 0.497 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 0.497 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.497 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.497 * [taylor]: Taking taylor expansion of 1/4 in x 0.497 * [backup-simplify]: Simplify 1/4 into 1/4 0.497 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [backup-simplify]: Simplify y into y 0.497 * [backup-simplify]: Simplify (+ 0 y) into y 0.497 * [backup-simplify]: Simplify (log y) into (log y) 0.498 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 0.498 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 0.498 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.498 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.498 * [taylor]: Taking taylor expansion of 1/4 in y 0.498 * [backup-simplify]: Simplify 1/4 into 1/4 0.498 * [taylor]: Taking taylor expansion of (log y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (log 1) into 0 0.498 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.498 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 0.498 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 0.499 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4) 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 0.500 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.502 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.502 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 0.502 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (* 1 1) into 1 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 0.504 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y)) 0.505 * [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)) 0.505 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.505 * [taylor]: Taking taylor expansion of 1/4 in y 0.505 * [backup-simplify]: Simplify 1/4 into 1/4 0.505 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.505 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.505 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.505 * [taylor]: Taking taylor expansion of 1/4 in y 0.505 * [backup-simplify]: Simplify 1/4 into 1/4 0.505 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (* 1 1) into 1 0.506 * [backup-simplify]: Simplify (/ 1 1) into 1 0.506 * [backup-simplify]: Simplify (log 1) into 0 0.506 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 0.506 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y)) 0.506 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4) 0.507 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 0.507 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.508 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.509 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0 0.510 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [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 0.513 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 0.514 * [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 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.516 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 0.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0 0.517 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 0 into 0 0.520 * [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 0.520 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 0.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 0.522 * [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 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [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)) 0.523 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) 0.523 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.523 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.523 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.523 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.523 * [taylor]: Taking taylor expansion of 1/4 in y 0.523 * [backup-simplify]: Simplify 1/4 into 1/4 0.523 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.523 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [backup-simplify]: Simplify (+ 0 1) into 1 0.524 * [backup-simplify]: Simplify (log 1) into 0 0.524 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 0.524 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y)) 0.524 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4) 0.524 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.524 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.524 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.524 * [taylor]: Taking taylor expansion of 1/4 in x 0.524 * [backup-simplify]: Simplify 1/4 into 1/4 0.524 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.525 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (/ 1 1) into 1 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [backup-simplify]: Simplify y into y 0.525 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.525 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [backup-simplify]: Simplify (log 1) into 0 0.526 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.526 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.526 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.526 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.526 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.526 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.526 * [taylor]: Taking taylor expansion of 1/4 in x 0.526 * [backup-simplify]: Simplify 1/4 into 1/4 0.526 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (* 1 1) into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.527 * [backup-simplify]: Simplify y into y 0.527 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.527 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [backup-simplify]: Simplify (log 1) into 0 0.527 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.527 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.527 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.528 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.528 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.528 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.528 * [taylor]: Taking taylor expansion of -1/2 in y 0.528 * [backup-simplify]: Simplify -1/2 into -1/2 0.528 * [taylor]: Taking taylor expansion of (log x) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [backup-simplify]: Simplify x into x 0.528 * [backup-simplify]: Simplify (log x) into (log x) 0.528 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 0.528 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.528 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.530 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 0.531 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.532 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 0.532 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.534 * [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) 0.535 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.535 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y)) 0.535 * [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))) 0.535 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.536 * [taylor]: Taking taylor expansion of 1/4 in y 0.536 * [backup-simplify]: Simplify 1/4 into 1/4 0.536 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [backup-simplify]: Simplify x into x 0.536 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.536 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 0.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 0.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 0.537 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 0.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 0.539 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 0.540 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [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 0.544 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 0.546 * [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 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 0.546 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) 0.546 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.546 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.546 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.546 * [taylor]: Taking taylor expansion of 1/4 in y 0.546 * [backup-simplify]: Simplify 1/4 into 1/4 0.547 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.547 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.547 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [backup-simplify]: Simplify x into x 0.547 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.547 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [backup-simplify]: Simplify (- 1) into -1 0.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.548 * [backup-simplify]: Simplify (log -1) into (log -1) 0.548 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 0.549 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y))) 0.549 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y)))) 0.549 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.549 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.549 * [taylor]: Taking taylor expansion of 1/4 in x 0.549 * [backup-simplify]: Simplify 1/4 into 1/4 0.549 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [backup-simplify]: Simplify y into y 0.550 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (log 1) into 0 0.551 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.551 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.551 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.551 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.551 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.551 * [taylor]: Taking taylor expansion of 1/4 in x 0.551 * [backup-simplify]: Simplify 1/4 into 1/4 0.551 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [backup-simplify]: Simplify y into y 0.552 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.552 * [backup-simplify]: Simplify (+ 1 0) into 1 0.552 * [backup-simplify]: Simplify (log 1) into 0 0.553 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.553 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 0.553 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.553 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.553 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.553 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.553 * [taylor]: Taking taylor expansion of -1/2 in y 0.553 * [backup-simplify]: Simplify -1/2 into -1/2 0.553 * [taylor]: Taking taylor expansion of (log x) in y 0.553 * [taylor]: Taking taylor expansion of x in y 0.553 * [backup-simplify]: Simplify x into x 0.553 * [backup-simplify]: Simplify (log x) into (log x) 0.553 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 0.553 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 0.553 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.555 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.555 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 0.556 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 0.557 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 0.557 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.562 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.563 * [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) 0.563 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 0.564 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y))) 0.564 * [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))) 0.564 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.564 * [taylor]: Taking taylor expansion of -1/4 in y 0.564 * [backup-simplify]: Simplify -1/4 into -1/4 0.564 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [backup-simplify]: Simplify x into x 0.564 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.564 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 0.565 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (/ 1 1) into 1 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 0.566 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [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) 0.577 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h0 h0) h1))) (log1p (sqrt (+ (* h0 h0) h1))) (log (sqrt (+ (* h0 h0) h1))) (exp (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (+ (* h0 h0) h1))) (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (sqrt (cbrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (expm1 (sqrt (+ (* h0 h0) h1))) (log1p (sqrt (+ (* h0 h0) h1))) (log (sqrt (+ (* h0 h0) h1))) (exp (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (+ (* h0 h0) h1))) (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (sqrt (cbrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (expm1 (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))) (log1p (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))))) (+ 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 (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))) (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* h0 h0) h1)))) (log (sqrt (sqrt (+ (* h0 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0.584 * * [simplify]: iteration 0 : 279 enodes (cost 927 ) 0.591 * * [simplify]: iteration 1 : 1130 enodes (cost 856 ) 0.622 * * [simplify]: iteration 2 : 5001 enodes (cost 822 ) 0.627 * * * [progress]: adding candidates to table 0.931 * * [progress]: iteration 3 / 4 0.931 * * * [progress]: picking best candidate 0.933 * * * * [pick]: Picked # 0.933 * * * [progress]: localizing error 0.938 * * * [progress]: generating rewritten candidates 0.938 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.939 * * * [progress]: generating series expansions 0.939 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.939 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 0.939 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 0.939 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 0.939 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.939 * [taylor]: Taking taylor expansion of 1/2 in x 0.939 * [backup-simplify]: Simplify 1/2 into 1/2 0.939 * [taylor]: Taking taylor expansion of (/ y x) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [backup-simplify]: Simplify y into y 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ y 1) into y 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.940 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.940 * [taylor]: Taking taylor expansion of 1/2 in y 0.940 * [backup-simplify]: Simplify 1/2 into 1/2 0.940 * [taylor]: Taking taylor expansion of (/ y x) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [backup-simplify]: Simplify x into x 0.940 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [backup-simplify]: Simplify x into x 0.940 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 0.940 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 0.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.940 * [taylor]: Taking taylor expansion of 1/2 in y 0.940 * [backup-simplify]: Simplify 1/2 into 1/2 0.940 * [taylor]: Taking taylor expansion of (/ y x) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [backup-simplify]: Simplify x into x 0.940 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [backup-simplify]: Simplify x into x 0.940 * [backup-simplify]: Simplify (+ 0 x) into x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 0.941 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 0.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of 1/2 in x 0.941 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.941 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.941 * [backup-simplify]: Simplify 1/2 into 1/2 0.941 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [taylor]: Taking taylor expansion of 0 in x 0.942 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 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 0 into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 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 (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.947 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 0.948 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 0.948 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 0.948 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 0.948 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.948 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.948 * [taylor]: Taking taylor expansion of 1/2 in x 0.948 * [backup-simplify]: Simplify 1/2 into 1/2 0.948 * [taylor]: Taking taylor expansion of (/ x y) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of y in x 0.948 * [backup-simplify]: Simplify y into y 0.948 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (/ 1 1) into 1 0.948 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.948 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.949 * [taylor]: Taking taylor expansion of 1/2 in y 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of (/ x y) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ x 1) into x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 0.949 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 0.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.949 * [taylor]: Taking taylor expansion of 1/2 in y 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of (/ x y) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ x 1) into x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.949 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.949 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.949 * [taylor]: Taking taylor expansion of 1/2 in x 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.950 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [taylor]: Taking taylor expansion of 0 in x 0.952 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.953 * [backup-simplify]: Simplify 1/2 into 1/2 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [taylor]: Taking taylor expansion of 0 in x 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [taylor]: Taking taylor expansion of 0 in x 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 0.960 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 0.960 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 0.960 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 0.960 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.960 * [taylor]: Taking taylor expansion of 1/2 in x 0.960 * [backup-simplify]: Simplify 1/2 into 1/2 0.960 * [taylor]: Taking taylor expansion of (/ x y) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [taylor]: Taking taylor expansion of y in x 0.960 * [backup-simplify]: Simplify y into y 0.960 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.960 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.960 * [taylor]: Taking taylor expansion of -1 in x 0.960 * [backup-simplify]: Simplify -1 into -1 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ -1 1) into -1 0.961 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.961 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.961 * [taylor]: Taking taylor expansion of 1/2 in y 0.961 * [backup-simplify]: Simplify 1/2 into 1/2 0.961 * [taylor]: Taking taylor expansion of (/ x y) in y 0.961 * [taylor]: Taking taylor expansion of x in y 0.961 * [backup-simplify]: Simplify x into x 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ x 1) into x 0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.961 * [taylor]: Taking taylor expansion of -1 in y 0.961 * [backup-simplify]: Simplify -1 into -1 0.961 * [taylor]: Taking taylor expansion of x in y 0.961 * [backup-simplify]: Simplify x into x 0.961 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.961 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 0.961 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 0.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.961 * [taylor]: Taking taylor expansion of 1/2 in y 0.961 * [backup-simplify]: Simplify 1/2 into 1/2 0.961 * [taylor]: Taking taylor expansion of (/ x y) in y 0.961 * [taylor]: Taking taylor expansion of x in y 0.961 * [backup-simplify]: Simplify x into x 0.961 * [taylor]: Taking taylor expansion of y in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (/ x 1) into x 0.961 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.961 * [taylor]: Taking taylor expansion of -1 in y 0.961 * [backup-simplify]: Simplify -1 into -1 0.961 * [taylor]: Taking taylor expansion of x in y 0.961 * [backup-simplify]: Simplify x into x 0.961 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.962 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 0.962 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 0.962 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.962 * [taylor]: Taking taylor expansion of 1/2 in x 0.962 * [backup-simplify]: Simplify 1/2 into 1/2 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 0.963 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 0.963 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [backup-simplify]: Simplify (- 1) into -1 0.963 * [backup-simplify]: Simplify -1 into -1 0.963 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 0.965 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [taylor]: Taking taylor expansion of 0 in x 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.966 * [backup-simplify]: Simplify 1/2 into 1/2 0.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.968 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [taylor]: Taking taylor expansion of 0 in x 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.972 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 0) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in x 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 0.973 * * * [progress]: simplifying candidates 0.973 * [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))) 0.973 * [simplify]: Sending expressions to egg_math: (expm1 (fma 1/2 (/ h0 h1) h1)) (log1p (fma 1/2 (/ h0 h1) h1)) (* 1/2 (/ h0 h1)) (log (fma 1/2 (/ h0 h1) h1)) (exp (fma 1/2 (/ h0 h1) h1)) (* (cbrt (fma 1/2 (/ h0 h1) h1)) (cbrt (fma 1/2 (/ h0 h1) h1))) (cbrt (fma 1/2 (/ h0 h1) h1)) (* (* (fma 1/2 (/ h0 h1) h1) (fma 1/2 (/ h0 h1) h1)) (fma 1/2 (/ h0 h1) h1)) (sqrt (fma 1/2 (/ h0 h1) h1)) (sqrt (fma 1/2 (/ h0 h1) h1)) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) (+ h1 (* 1/2 (/ h0 h1))) 0.976 * * [simplify]: iteration 0 : 21 enodes (cost 44 ) 0.978 * * [simplify]: iteration 1 : 48 enodes (cost 39 ) 0.980 * * [simplify]: iteration 2 : 156 enodes (cost 39 ) 0.984 * * [simplify]: iteration 3 : 585 enodes (cost 39 ) 1.000 * * [simplify]: iteration 4 : 2784 enodes (cost 39 ) 1.053 * * [simplify]: iteration 5 : 5001 enodes (cost 39 ) 1.054 * * * [progress]: adding candidates to table 1.075 * * [progress]: iteration 4 / 4 1.075 * * * [progress]: picking best candidate 1.077 * * * * [pick]: Picked # 1.077 * * * [progress]: localizing error 1.085 * * * [progress]: generating rewritten candidates 1.085 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.092 * * * [progress]: generating series expansions 1.092 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.092 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 1.092 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 1.092 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [backup-simplify]: Simplify x into x 1.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.092 * [taylor]: Taking taylor expansion of 1/2 in y 1.092 * [backup-simplify]: Simplify 1/2 into 1/2 1.092 * [taylor]: Taking taylor expansion of (/ y x) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [backup-simplify]: Simplify x into x 1.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.092 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.092 * [taylor]: Taking taylor expansion of 1/2 in x 1.092 * [backup-simplify]: Simplify 1/2 into 1/2 1.092 * [taylor]: Taking taylor expansion of (/ y x) in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.092 * [backup-simplify]: Simplify y into y 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (/ y 1) into y 1.092 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.092 * [taylor]: Taking taylor expansion of 1/2 in x 1.092 * [backup-simplify]: Simplify 1/2 into 1/2 1.092 * [taylor]: Taking taylor expansion of (/ y x) in x 1.092 * [taylor]: Taking taylor expansion of y in x 1.092 * [backup-simplify]: Simplify y into y 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (/ y 1) into y 1.093 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.093 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 1.093 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.093 * [taylor]: Taking taylor expansion of 1/2 in y 1.093 * [backup-simplify]: Simplify 1/2 into 1/2 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [taylor]: Taking taylor expansion of 0 in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.095 * [backup-simplify]: Simplify 1/2 into 1/2 1.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.097 * [backup-simplify]: Simplify (+ 1 0) into 1 1.097 * [taylor]: Taking taylor expansion of 1 in y 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [taylor]: Taking taylor expansion of 0 in y 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 1.101 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 1.101 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.101 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.101 * [taylor]: Taking taylor expansion of 1/2 in y 1.101 * [backup-simplify]: Simplify 1/2 into 1/2 1.101 * [taylor]: Taking taylor expansion of (/ x y) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [backup-simplify]: Simplify x into x 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ x 1) into x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.101 * [taylor]: Taking taylor expansion of x in y 1.101 * [backup-simplify]: Simplify x into x 1.101 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.101 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.101 * [taylor]: Taking taylor expansion of 1/2 in x 1.101 * [backup-simplify]: Simplify 1/2 into 1/2 1.101 * [taylor]: Taking taylor expansion of (/ x y) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [taylor]: Taking taylor expansion of y in x 1.101 * [backup-simplify]: Simplify y into y 1.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.101 * [taylor]: Taking taylor expansion of 1/2 in x 1.101 * [backup-simplify]: Simplify 1/2 into 1/2 1.101 * [taylor]: Taking taylor expansion of (/ x y) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.102 * [taylor]: Taking taylor expansion of y in x 1.102 * [backup-simplify]: Simplify y into y 1.102 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (+ 0 1) into 1 1.102 * [taylor]: Taking taylor expansion of 1 in y 1.102 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.104 * [taylor]: Taking taylor expansion of 1/2 in y 1.104 * [backup-simplify]: Simplify 1/2 into 1/2 1.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.105 * [backup-simplify]: Simplify 1/2 into 1/2 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.109 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 1.109 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.109 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.109 * [taylor]: Taking taylor expansion of 1/2 in y 1.109 * [backup-simplify]: Simplify 1/2 into 1/2 1.109 * [taylor]: Taking taylor expansion of (/ x y) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [backup-simplify]: Simplify x into x 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ x 1) into x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [backup-simplify]: Simplify x into x 1.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.109 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.109 * [taylor]: Taking taylor expansion of 1/2 in x 1.109 * [backup-simplify]: Simplify 1/2 into 1/2 1.109 * [taylor]: Taking taylor expansion of (/ x y) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of y in x 1.109 * [backup-simplify]: Simplify y into y 1.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.110 * [taylor]: Taking taylor expansion of 1/2 in x 1.110 * [backup-simplify]: Simplify 1/2 into 1/2 1.110 * [taylor]: Taking taylor expansion of (/ x y) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [backup-simplify]: Simplify y into y 1.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [backup-simplify]: Simplify (- 1) into -1 1.111 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.111 * [taylor]: Taking taylor expansion of -1 in y 1.111 * [backup-simplify]: Simplify -1 into -1 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (- 0) into 0 1.111 * [backup-simplify]: Simplify (+ 0 0) into 0 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify -1 into -1 1.112 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (- 0) into 0 1.112 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.112 * [taylor]: Taking taylor expansion of 1/2 in y 1.112 * [backup-simplify]: Simplify 1/2 into 1/2 1.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.113 * [backup-simplify]: Simplify 1/2 into 1/2 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (- 0) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 1.117 * * * [progress]: simplifying candidates 1.118 * [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))) 1.118 * [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))) 1.121 * * [simplify]: iteration 0 : 88 enodes (cost 84 ) 1.124 * * [simplify]: iteration 1 : 322 enodes (cost 70 ) 1.132 * * [simplify]: iteration 2 : 1253 enodes (cost 70 ) 1.161 * * [simplify]: iteration 3 : 4552 enodes (cost 70 ) 1.239 * * [simplify]: iteration 4 : 5001 enodes (cost 70 ) 1.239 * * * [progress]: adding candidates to table 1.276 * [progress]: [Phase 3 of 3] Extracting. 1.276 * * [regime]: Finding splitpoints for: (# # # #) 1.276 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.276 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.293 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.304 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.325 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.336 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.361 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.375 * * * * [regimes]: Trying to branch on y from (# # # #) 1.396 * * * * [regimes]: Trying to branch on x from (# # # #) 1.420 * * * [regime]: Found split indices: #