39.289 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.023 * * [simplify]: iteration 0: 5 enodes 0.024 * * [simplify]: iteration 1: 6 enodes 0.024 * * [simplify]: iteration complete: 6 enodes 0.024 * * [simplify]: Extracting #0: cost 1 inf + 0 0.024 * * [simplify]: Extracting #1: cost 2 inf + 0 0.024 * * [simplify]: Extracting #2: cost 4 inf + 0 0.024 * * [simplify]: Extracting #3: cost 4 inf + 1 0.024 * * [simplify]: Extracting #4: cost 3 inf + 2 0.025 * * [simplify]: Extracting #5: cost 0 inf + 247 0.025 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.044 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.051 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.057 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.057 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.057 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.058 * [backup-simplify]: Simplify (+ 0 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [backup-simplify]: Simplify y into y 0.058 * [backup-simplify]: Simplify (+ 0 y) into y 0.058 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.059 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (+ 0 y) into y 0.059 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt 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 0.059 * [backup-simplify]: Simplify (sqrt 0) into 0 0.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.062 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.062 * [taylor]: Taking taylor expansion of 1/2 in y 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 0.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (sqrt 0) into 0 0.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.064 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.064 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.065 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.067 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.068 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.068 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [backup-simplify]: Simplify x into x 0.068 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (sqrt 0) into 0 0.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.072 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* 1 1) into 1 0.076 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (sqrt 1) into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [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 1 in y 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.084 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.084 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [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 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of -1/8 in y 0.094 * [backup-simplify]: Simplify -1/8 into -1/8 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.097 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.097 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [backup-simplify]: Simplify x into x 0.097 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.097 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (- 1) into -1 0.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.099 * [backup-simplify]: Simplify (sqrt 0) into 0 0.100 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.100 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [backup-simplify]: Simplify y into y 0.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.102 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1 1) into 1 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [backup-simplify]: Simplify y into y 0.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.111 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.113 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.113 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.113 * [taylor]: Taking taylor expansion of -1/2 in y 0.113 * [backup-simplify]: Simplify -1/2 into -1/2 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.113 * [backup-simplify]: Simplify -1/2 into -1/2 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.123 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of -1/8 in y 0.123 * [backup-simplify]: Simplify -1/8 into -1/8 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.126 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.126 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [backup-simplify]: Simplify x into x 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (+ 0 y) into y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [taylor]: Taking taylor expansion of 1 in y 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.131 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.131 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [backup-simplify]: Simplify x into x 0.131 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.134 * [backup-simplify]: Simplify (/ 1 1) into 1 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.144 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.144 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [backup-simplify]: Simplify x into x 0.144 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [backup-simplify]: Simplify y into y 0.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.149 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (- 1) into -1 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.153 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.154 * * * [progress]: simplifying candidates 0.154 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 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) 0.155 * * [simplify]: iteration 0: 59 enodes 0.165 * * [simplify]: iteration 1: 154 enodes 0.257 * * [simplify]: iteration 2: 697 enodes 0.694 * * [simplify]: iteration complete: 5000 enodes 0.694 * * [simplify]: Extracting #0: cost 29 inf + 0 0.695 * * [simplify]: Extracting #1: cost 303 inf + 2 0.698 * * [simplify]: Extracting #2: cost 1664 inf + 2787 0.726 * * [simplify]: Extracting #3: cost 1097 inf + 122614 0.782 * * [simplify]: Extracting #4: cost 66 inf + 257530 0.867 * * [simplify]: Extracting #5: cost 12 inf + 269286 0.942 * * [simplify]: Extracting #6: cost 0 inf + 272562 1.016 * [simplify]: Simplified to: (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)) (+ (* x x) y)) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x)))) (sqrt (+ (* (* x x) (* x x)) (* y (- y (* x x))))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) 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)) (+ (* y (* y y)) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* y (- y (* x x)))) (* (+ (* x x) y) (- (* x x) y)) (- (* x x) y) (* +nan.0 (+ (- (* x x) y) (- (* y y)))) (+ (/ (* 1/2 y) x) x) (- (/ -1/2 (/ x y)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.017 * * * [progress]: adding candidates to table 1.151 * * [progress]: iteration 2 / 4 1.151 * * * [progress]: picking best candidate 1.163 * * * * [pick]: Picked # 1.163 * * * [progress]: localizing error 1.181 * * * [progress]: generating rewritten candidates 1.181 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.211 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.277 * * * [progress]: generating series expansions 1.277 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.277 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) into (sqrt (+ (pow x 2) y)) 1.277 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.277 * [taylor]: Taking taylor expansion of x in y 1.277 * [backup-simplify]: Simplify x into x 1.277 * [taylor]: Taking taylor expansion of y in y 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 1 into 1 1.277 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.278 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.278 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.278 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.278 * [backup-simplify]: Simplify (+ 0 1) into 1 1.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of y in x 1.279 * [backup-simplify]: Simplify y into y 1.279 * [backup-simplify]: Simplify (+ 0 y) into y 1.279 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.279 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.280 * [taylor]: Taking taylor expansion of y in x 1.280 * [backup-simplify]: Simplify y into y 1.280 * [backup-simplify]: Simplify (+ 0 y) into y 1.280 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.280 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (sqrt 0) into 0 1.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in y 1.282 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.283 * [backup-simplify]: Simplify (* 1 1) into 1 1.283 * [backup-simplify]: Simplify (+ 1 0) into 1 1.284 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.284 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.284 * [taylor]: Taking taylor expansion of 1/2 in y 1.284 * [backup-simplify]: Simplify 1/2 into 1/2 1.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.284 * [taylor]: Taking taylor expansion of y in y 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (/ 1 1) into 1 1.288 * [backup-simplify]: Simplify (sqrt 0) into 0 1.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.292 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.292 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.295 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.296 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 1.296 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.296 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.296 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.296 * [taylor]: Taking taylor expansion of x in y 1.297 * [backup-simplify]: Simplify x into x 1.297 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (/ 1 1) into 1 1.298 * [backup-simplify]: Simplify (+ 0 1) into 1 1.298 * [backup-simplify]: Simplify (sqrt 0) into 0 1.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.299 * [taylor]: Taking taylor expansion of x in x 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (* 1 1) into 1 1.300 * [backup-simplify]: Simplify (/ 1 1) into 1 1.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.300 * [taylor]: Taking taylor expansion of y in x 1.300 * [backup-simplify]: Simplify y into y 1.300 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.300 * [backup-simplify]: Simplify (+ 1 0) into 1 1.301 * [backup-simplify]: Simplify (sqrt 1) into 1 1.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (/ 1 1) into 1 1.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.304 * [taylor]: Taking taylor expansion of y in x 1.304 * [backup-simplify]: Simplify y into y 1.304 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.304 * [backup-simplify]: Simplify (+ 1 0) into 1 1.305 * [backup-simplify]: Simplify (sqrt 1) into 1 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.307 * [taylor]: Taking taylor expansion of 1 in y 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.309 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.310 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.310 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.310 * [taylor]: Taking taylor expansion of 1/2 in y 1.310 * [backup-simplify]: Simplify 1/2 into 1/2 1.310 * [taylor]: Taking taylor expansion of y in y 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.310 * [backup-simplify]: Simplify 1/2 into 1/2 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.314 * [taylor]: Taking taylor expansion of 0 in y 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.318 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.318 * [taylor]: Taking taylor expansion of -1/8 in y 1.318 * [backup-simplify]: Simplify -1/8 into -1/8 1.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.318 * [taylor]: Taking taylor expansion of y in y 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.321 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.321 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.321 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.321 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.322 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.322 * [taylor]: Taking taylor expansion of x in y 1.322 * [backup-simplify]: Simplify x into x 1.322 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.322 * [taylor]: Taking taylor expansion of y in y 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [backup-simplify]: Simplify (- 1) into -1 1.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.324 * [backup-simplify]: Simplify (sqrt 0) into 0 1.325 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.325 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.325 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.326 * [taylor]: Taking taylor expansion of x in x 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1 1) into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.326 * [taylor]: Taking taylor expansion of y in x 1.326 * [backup-simplify]: Simplify y into y 1.326 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.327 * [backup-simplify]: Simplify (+ 1 0) into 1 1.327 * [backup-simplify]: Simplify (sqrt 1) into 1 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.330 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* 1 1) into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.331 * [taylor]: Taking taylor expansion of y in x 1.331 * [backup-simplify]: Simplify y into y 1.331 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.331 * [backup-simplify]: Simplify (+ 1 0) into 1 1.332 * [backup-simplify]: Simplify (sqrt 1) into 1 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.334 * [taylor]: Taking taylor expansion of 1 in y 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.337 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.338 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.338 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.338 * [taylor]: Taking taylor expansion of -1/2 in y 1.338 * [backup-simplify]: Simplify -1/2 into -1/2 1.338 * [taylor]: Taking taylor expansion of y in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.339 * [backup-simplify]: Simplify -1/2 into -1/2 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.342 * [taylor]: Taking taylor expansion of 0 in y 1.342 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.347 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.347 * [taylor]: Taking taylor expansion of -1/8 in y 1.347 * [backup-simplify]: Simplify -1/8 into -1/8 1.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1 1) into 1 1.348 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.351 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 1.351 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.351 * [taylor]: Taking taylor expansion of x in y 1.351 * [backup-simplify]: Simplify x into x 1.351 * [taylor]: Taking taylor expansion of y in y 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.351 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.351 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.351 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.352 * [backup-simplify]: Simplify (+ 0 1) into 1 1.352 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.352 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [taylor]: Taking taylor expansion of y in x 1.352 * [backup-simplify]: Simplify y into y 1.352 * [backup-simplify]: Simplify (+ 0 y) into y 1.352 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of y in x 1.353 * [backup-simplify]: Simplify y into y 1.353 * [backup-simplify]: Simplify (+ 0 y) into y 1.353 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.354 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (sqrt 0) into 0 1.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [taylor]: Taking taylor expansion of 0 in y 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.356 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.358 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.358 * [taylor]: Taking taylor expansion of 1/2 in y 1.358 * [backup-simplify]: Simplify 1/2 into 1/2 1.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.358 * [taylor]: Taking taylor expansion of y in y 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (/ 1 1) into 1 1.359 * [backup-simplify]: Simplify (sqrt 0) into 0 1.360 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.361 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.362 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.366 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 1.366 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.366 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [backup-simplify]: Simplify x into x 1.366 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.366 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.366 * [taylor]: Taking taylor expansion of y in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [backup-simplify]: Simplify (+ 0 1) into 1 1.367 * [backup-simplify]: Simplify (sqrt 0) into 0 1.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.368 * [taylor]: Taking taylor expansion of y in x 1.368 * [backup-simplify]: Simplify y into y 1.368 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.368 * [backup-simplify]: Simplify (+ 1 0) into 1 1.369 * [backup-simplify]: Simplify (sqrt 1) into 1 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.371 * [taylor]: Taking taylor expansion of y in x 1.371 * [backup-simplify]: Simplify y into y 1.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.371 * [backup-simplify]: Simplify (+ 1 0) into 1 1.371 * [backup-simplify]: Simplify (sqrt 1) into 1 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.373 * [taylor]: Taking taylor expansion of 1 in y 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [taylor]: Taking taylor expansion of 0 in y 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.375 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.375 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.375 * [taylor]: Taking taylor expansion of 1/2 in y 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [taylor]: Taking taylor expansion of y in y 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 1 into 1 1.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.375 * [backup-simplify]: Simplify 1/2 into 1/2 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.377 * [taylor]: Taking taylor expansion of 0 in y 1.377 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.380 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.380 * [taylor]: Taking taylor expansion of -1/8 in y 1.380 * [backup-simplify]: Simplify -1/8 into -1/8 1.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.380 * [taylor]: Taking taylor expansion of y in y 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (* 1 1) into 1 1.381 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.382 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.382 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.382 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.382 * [taylor]: Taking taylor expansion of x in y 1.382 * [backup-simplify]: Simplify x into x 1.382 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.382 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ 1 1) into 1 1.383 * [backup-simplify]: Simplify (- 1) into -1 1.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.384 * [backup-simplify]: Simplify (sqrt 0) into 0 1.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.384 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.384 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.385 * [backup-simplify]: Simplify (/ 1 1) into 1 1.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.385 * [taylor]: Taking taylor expansion of y in x 1.385 * [backup-simplify]: Simplify y into y 1.385 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.386 * [backup-simplify]: Simplify (+ 1 0) into 1 1.386 * [backup-simplify]: Simplify (sqrt 1) into 1 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.389 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (* 1 1) into 1 1.390 * [backup-simplify]: Simplify (/ 1 1) into 1 1.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.390 * [taylor]: Taking taylor expansion of y in x 1.390 * [backup-simplify]: Simplify y into y 1.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.390 * [backup-simplify]: Simplify (+ 1 0) into 1 1.391 * [backup-simplify]: Simplify (sqrt 1) into 1 1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.393 * [taylor]: Taking taylor expansion of 1 in y 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [taylor]: Taking taylor expansion of 0 in y 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.396 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.397 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.397 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.397 * [taylor]: Taking taylor expansion of -1/2 in y 1.397 * [backup-simplify]: Simplify -1/2 into -1/2 1.397 * [taylor]: Taking taylor expansion of y in y 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.398 * [backup-simplify]: Simplify -1/2 into -1/2 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in y 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.407 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.407 * [taylor]: Taking taylor expansion of -1/8 in y 1.407 * [backup-simplify]: Simplify -1/8 into -1/8 1.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.407 * [taylor]: Taking taylor expansion of y in y 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.411 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.412 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) y)) (+ (* x x) y)) into (sqrt (pow (+ (pow x 2) y) 3)) 1.412 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in (x y) around 0 1.412 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in y 1.412 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in y 1.412 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.412 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.412 * [taylor]: Taking taylor expansion of x in y 1.412 * [backup-simplify]: Simplify x into x 1.412 * [taylor]: Taking taylor expansion of y in y 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.412 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.412 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 1.413 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6) 1.413 * [backup-simplify]: Simplify (sqrt (pow x 6)) into (pow x 3) 1.413 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.414 * [backup-simplify]: Simplify (+ 0 1) into 1 1.414 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 1 (pow x 2))) into (* 2 (pow x 2)) 1.414 * [backup-simplify]: Simplify (+ (* (pow x 2) (* 2 (pow x 2))) (* 1 (pow x 4))) into (* 3 (pow x 4)) 1.415 * [backup-simplify]: Simplify (/ (* 3 (pow x 4)) (* 2 (sqrt (pow x 6)))) into (* 3/2 x) 1.415 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 1.415 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 1.415 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of y in x 1.415 * [backup-simplify]: Simplify y into y 1.415 * [backup-simplify]: Simplify (+ 0 y) into y 1.415 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.415 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.415 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.416 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 1.416 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 1.416 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 1.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [taylor]: Taking taylor expansion of y in x 1.416 * [backup-simplify]: Simplify y into y 1.416 * [backup-simplify]: Simplify (+ 0 y) into y 1.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.417 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 1.417 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 1.418 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 1.418 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.418 * [taylor]: Taking taylor expansion of y in y 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (sqrt 0) into 0 1.421 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.421 * [taylor]: Taking taylor expansion of 0 in y 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (+ 1 0) into 1 1.424 * [backup-simplify]: Simplify (+ (* y 1) (+ (* 0 0) (* 1 y))) into (* 2 y) 1.425 * [backup-simplify]: Simplify (+ (* y (* 2 y)) (+ (* 0 0) (* 1 (pow y 2)))) into (* 3 (pow y 2)) 1.426 * [backup-simplify]: Simplify (/ (- (* 3 (pow y 2)) (pow 0 2) (+)) (* 2 (sqrt (pow y 3)))) into (* 3/2 (sqrt y)) 1.426 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 1.426 * [taylor]: Taking taylor expansion of 3/2 in y 1.426 * [backup-simplify]: Simplify 3/2 into 3/2 1.426 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.426 * [taylor]: Taking taylor expansion of y in y 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (sqrt 0) into 0 1.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.428 * [backup-simplify]: Simplify (* 3/2 0) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (+ (* 1 0) (* 0 y)))) into 0 1.431 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (* 2 y)) (+ (* 1 0) (* 0 (pow y 2))))) into 0 1.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 3/2 (sqrt y)))))) (* 2 (sqrt (pow y 3)))) into 0 1.432 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (* 0 0)) into (- +nan.0) 1.433 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.439 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 3)) (+ (* (- +nan.0) (* y (pow x 2))) (* +nan.0 (pow (* y 1) 2)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (* (pow x 2) y))))))) 1.439 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) 1.439 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 1.439 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in y 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.439 * [taylor]: Taking taylor expansion of x in y 1.439 * [backup-simplify]: Simplify x into x 1.440 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.440 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (/ 1 1) into 1 1.441 * [backup-simplify]: Simplify (+ 0 1) into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (sqrt 0) into 0 1.443 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.443 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.443 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* 1 1) into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [backup-simplify]: Simplify y into y 1.444 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.444 * [backup-simplify]: Simplify (+ 1 0) into 1 1.445 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (* 1 1) into 1 1.446 * [backup-simplify]: Simplify (sqrt 1) into 1 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.449 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.450 * [taylor]: Taking taylor expansion of x in x 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.450 * [taylor]: Taking taylor expansion of y in x 1.450 * [backup-simplify]: Simplify y into y 1.450 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.451 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (* 1 1) into 1 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.452 * [backup-simplify]: Simplify (sqrt 1) into 1 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.454 * [taylor]: Taking taylor expansion of 1 in y 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of 0 in y 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.456 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (+ (* 0 0) (* (/ 1 y) 1))) into (* 2 (/ 1 y)) 1.456 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (+ (* 0 0) (* (/ 1 y) 1))) into (* 3 (/ 1 y)) 1.457 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 y) 1.457 * [taylor]: Taking taylor expansion of (/ 3/2 y) in y 1.457 * [taylor]: Taking taylor expansion of 3/2 in y 1.457 * [backup-simplify]: Simplify 3/2 into 3/2 1.457 * [taylor]: Taking taylor expansion of y in y 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 y))) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 y))))) (* 2 1)) into 0 1.461 * [taylor]: Taking taylor expansion of 0 in y 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 3/2 into 3/2 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 y) (/ 1 y)) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 1.464 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (+ (* (/ 1 y) (* 2 (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 2))) 1.465 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ 3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 1.465 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.465 * [taylor]: Taking taylor expansion of 3/8 in y 1.465 * [backup-simplify]: Simplify 3/8 into 3/8 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 1.466 * [backup-simplify]: Simplify 3/8 into 3/8 1.466 * [backup-simplify]: Simplify (+ (* 3/8 (* (pow (/ 1 y) -2) (/ 1 x))) (+ (* 3/2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 3)))) into (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x)))) 1.467 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) 1.467 * [approximate]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 1.467 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 1.467 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in y 1.467 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.467 * [taylor]: Taking taylor expansion of x in y 1.467 * [backup-simplify]: Simplify x into x 1.467 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.467 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.467 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [backup-simplify]: Simplify (- 1) into -1 1.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.468 * [backup-simplify]: Simplify (* -1 -1) into 1 1.468 * [backup-simplify]: Simplify (* -1 1) into -1 1.468 * [backup-simplify]: Simplify (sqrt 0) into 0 1.469 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.469 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.469 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.470 * [taylor]: Taking taylor expansion of y in x 1.470 * [backup-simplify]: Simplify y into y 1.470 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.470 * [backup-simplify]: Simplify (+ 1 0) into 1 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (* 1 1) into 1 1.471 * [backup-simplify]: Simplify (sqrt 1) into 1 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.474 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 1.474 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 1.474 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.474 * [taylor]: Taking taylor expansion of x in x 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.475 * [backup-simplify]: Simplify (/ 1 1) into 1 1.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.475 * [taylor]: Taking taylor expansion of y in x 1.475 * [backup-simplify]: Simplify y into y 1.475 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.475 * [backup-simplify]: Simplify (+ 1 0) into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (* 1 1) into 1 1.476 * [backup-simplify]: Simplify (sqrt 1) into 1 1.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.480 * [taylor]: Taking taylor expansion of 1 in y 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [taylor]: Taking taylor expansion of 0 in y 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.482 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.483 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 2 (/ 1 y))) 1.484 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 3 (/ 1 y))) 1.485 * [backup-simplify]: Simplify (/ (- (- (* 3 (/ 1 y))) (pow 0 2) (+)) (* 2 1)) into (/ -3/2 y) 1.485 * [taylor]: Taking taylor expansion of (/ -3/2 y) in y 1.485 * [taylor]: Taking taylor expansion of -3/2 in y 1.485 * [backup-simplify]: Simplify -3/2 into -3/2 1.485 * [taylor]: Taking taylor expansion of y in y 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (/ -3/2 1) into -3/2 1.485 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.488 * [backup-simplify]: Simplify (- 0) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 y))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 y)))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3/2 y))))) (* 2 1)) into 0 1.491 * [taylor]: Taking taylor expansion of 0 in y 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify -3/2 into -3/2 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.494 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 1.498 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (* 2 (/ 1 y)))) (+ (* 0 0) (* 0 1))))) into (* 3 (/ 1 (pow y 2))) 1.499 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ -3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 1.499 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 1.499 * [taylor]: Taking taylor expansion of 3/8 in y 1.499 * [backup-simplify]: Simplify 3/8 into 3/8 1.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.499 * [taylor]: Taking taylor expansion of y in y 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 1.500 * [backup-simplify]: Simplify 3/8 into 3/8 1.501 * [backup-simplify]: Simplify (+ (* 3/8 (* (pow (/ 1 (- y)) -2) (/ 1 (- x)))) (+ (* -3/2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 3)))) into (- (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x))))) 1.501 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.501 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 1.501 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 1.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.501 * [taylor]: Taking taylor expansion of x in y 1.501 * [backup-simplify]: Simplify x into x 1.501 * [taylor]: Taking taylor expansion of y in y 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.501 * [taylor]: Taking taylor expansion of x in x 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [backup-simplify]: Simplify y into y 1.502 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.502 * [taylor]: Taking taylor expansion of x in x 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [taylor]: Taking taylor expansion of y in x 1.502 * [backup-simplify]: Simplify y into y 1.502 * [backup-simplify]: Simplify (+ 0 y) into y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [taylor]: Taking taylor expansion of 0 in y 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.503 * [backup-simplify]: Simplify (+ 1 0) into 1 1.503 * [taylor]: Taking taylor expansion of 1 in y 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [taylor]: Taking taylor expansion of 0 in y 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 1.505 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 1.505 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.505 * [taylor]: Taking taylor expansion of x in y 1.505 * [backup-simplify]: Simplify x into x 1.505 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (/ 1 1) into 1 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.507 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (/ 1 1) into 1 1.507 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.507 * [taylor]: Taking taylor expansion of y in x 1.507 * [backup-simplify]: Simplify y into y 1.507 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 1 into 1 1.508 * [backup-simplify]: Simplify (* 1 1) into 1 1.508 * [backup-simplify]: Simplify (/ 1 1) into 1 1.508 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.508 * [taylor]: Taking taylor expansion of y in x 1.508 * [backup-simplify]: Simplify y into y 1.508 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.509 * [backup-simplify]: Simplify (+ 1 0) into 1 1.509 * [taylor]: Taking taylor expansion of 1 in y 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.511 * [taylor]: Taking taylor expansion of y in y 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (/ 1 1) into 1 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [taylor]: Taking taylor expansion of 0 in y 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [taylor]: Taking taylor expansion of 0 in y 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 1.516 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 1.516 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 1.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.516 * [taylor]: Taking taylor expansion of x in y 1.516 * [backup-simplify]: Simplify x into x 1.516 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.516 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.516 * [taylor]: Taking taylor expansion of y in y 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.517 * [taylor]: Taking taylor expansion of y in x 1.517 * [backup-simplify]: Simplify y into y 1.517 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (* 1 1) into 1 1.518 * [backup-simplify]: Simplify (/ 1 1) into 1 1.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.518 * [taylor]: Taking taylor expansion of y in x 1.518 * [backup-simplify]: Simplify y into y 1.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.518 * [backup-simplify]: Simplify (+ 1 0) into 1 1.518 * [taylor]: Taking taylor expansion of 1 in y 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [taylor]: Taking taylor expansion of 0 in y 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.520 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.520 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (/ 1 1) into 1 1.521 * [backup-simplify]: Simplify (- 1) into -1 1.521 * [backup-simplify]: Simplify -1 into -1 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [taylor]: Taking taylor expansion of 0 in y 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (- 0) into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [taylor]: Taking taylor expansion of 0 in y 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 1.526 * * * [progress]: simplifying candidates 1.527 * [simplify]: Simplifying: (log (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (exp (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (pow (* x x) 3) (pow y 3)))) (cbrt (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (- (* (* x x) (* x x)) (* y y)))) (cbrt (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (- (* x x) y))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (pow (* x x) 3) (pow y 3)))) (cbrt (* (sqrt (- (* x x) y)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* y y)))) (cbrt (* (sqrt (- (* x x) y)) (- (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)))) (cbrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (- (* (* x x) (* x x)) (* y y)))) (cbrt (- (* x x) y)) (cbrt (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (* x x) y))) (cbrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (* x x) y))) (cbrt (sqrt (- (* x x) y))) (* (cbrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))))) (cbrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (* (* (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (sqrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (sqrt (cbrt (* (sqrt (+ (* x x) y)) (+ (* 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))) (+ 1/2 1) (+ (/ 1 2) 1) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (+ 1/2 1) (+ (/ 1 2) 1) (+ (log (sqrt (+ (* x x) y))) (log (+ (* x x) y))) (log (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (exp (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (* (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (* (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (sqrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (sqrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (pow (* x x) 3) (pow y 3))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (- (* (* x x) (* x x)) (* y y))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (- (* x x) y)) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (pow (* x x) 3) (pow y 3))) (* (sqrt (- (* x x) y)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* y y))) (* (sqrt (- (* x x) y)) (- (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (* x x)) (* (sqrt (+ (* x x) y)) y) (* (* x x) (sqrt (+ (* x x) y))) (* y (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (cbrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3))) (* (sqrt (+ (* x x) y)) (- (* (* x x) (* x x)) (* y y))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (+ (* x x) y)) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ (* 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 y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (* (pow x 2) y))))))) (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x)))) (- (+ (pow x 3) (+ (* 3/2 (* x y)) (* 3/8 (/ (pow y 2) x))))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 1.529 * * [simplify]: iteration 0: 133 enodes 1.569 * * [simplify]: iteration 1: 377 enodes 1.818 * * [simplify]: iteration 2: 2141 enodes 2.637 * * [simplify]: iteration complete: 5000 enodes 2.637 * * [simplify]: Extracting #0: cost 72 inf + 0 2.638 * * [simplify]: Extracting #1: cost 619 inf + 3 2.642 * * [simplify]: Extracting #2: cost 1636 inf + 2974 2.655 * * [simplify]: Extracting #3: cost 1464 inf + 63129 2.709 * * [simplify]: Extracting #4: cost 323 inf + 259294 2.801 * * [simplify]: Extracting #5: cost 58 inf + 323452 2.892 * * [simplify]: Extracting #6: cost 12 inf + 330085 2.962 * * [simplify]: Extracting #7: cost 0 inf + 333399 3.070 * [simplify]: Simplified to: (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x)))) (cbrt (+ y (* x x))) (cbrt (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)))) (cbrt (* (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))))) (cbrt (* (- (* x x) y) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))))) (cbrt (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (* (- (* x x) y) (+ (* x x) y))))) (cbrt (* (+ (* y (- y (* x x))) (* (* x x) (* x x))) (sqrt (- (* x x) y)))) (cbrt (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (* (- (* x x) y) (+ (* x x) y))))) (cbrt (* (- (* x x) y) (sqrt (- (* x x) y)))) (cbrt (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (+ y (* x x))))) (cbrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (cbrt (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ y (* x x))))) (cbrt (- (* x x) y)) (cbrt (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* x x) y))) (cbrt (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x))))) (cbrt (* (sqrt (* (- (* x x) y) (+ (* x x) y))) (+ (* x x) y))) (cbrt (sqrt (- (* x x) y))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (fabs (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (sqrt (+ (* y (- y (* x x))) (* (* x x) (* x x)))) (sqrt (* (- (* x x) y) (+ (* x x) y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 3/2 3/2 (* (+ y (* x x)) (sqrt (+ y (* x x)))) 3/2 3/2 (log (* (+ y (* x x)) (sqrt (+ y (* x x))))) (log (* (+ y (* x x)) (sqrt (+ y (* x x))))) (exp (* (+ y (* x x)) (sqrt (+ y (* x x))))) (* (+ y (* x x)) (* (sqrt 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(* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x))))) (* (* x x) (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) y) (* (* x x) (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) y) (* (cbrt (+ y (* x x))) (* (sqrt (+ y (* x x))) (cbrt (+ y (* x x))))) (+ y (* x x)) (sqrt (+ y (* x x))) (* (cbrt (sqrt (+ y (* x x)))) (+ y (* x x))) (* (+ y (* x x)) (sqrt (cbrt (+ y (* x x))))) (* (sqrt (sqrt (+ y (* x x)))) (+ y (* x x))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (* (sqrt (sqrt (+ y (* x x)))) (+ y (* x x))) (* (+ y (* x x)) (sqrt (+ y (* x x)))) (* (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (sqrt (+ y (* x x)))) (* (* (- (* x x) y) (+ (* x x) y)) (sqrt (+ y (* x x)))) (* (sqrt (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y))) (+ (* x x) y)) (* (sqrt (* (- (* x x) y) (+ (* x x) y))) (+ (* x x) y)) (exp (+ (* x x) y)) (log (+ y (* x x))) (exp (+ y (* x x))) (* (cbrt (+ y (* x x))) (cbrt (+ y (* x x)))) (cbrt (+ y (* x x))) (* (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x)))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (* (* x (* x x)) (* x (* x x))) (* (* y y) y)) (+ (* y (- y (* x x))) (* (* x x) (* x x))) (* (- (* x x) y) (+ (* x x) y)) (- (* x x) y) (+ (* +nan.0 (- (* x x) y)) (* +nan.0 (- (* y y)))) (+ x (/ 1/2 (/ x y))) (+ (- x) (/ -1/2 (/ x y))) (+ (* +nan.0 (- (* x x) y)) (* +nan.0 (- (* y y)))) (+ x (/ 1/2 (/ x y))) (+ (- x) (/ -1/2 (/ x y))) (+ (* +nan.0 (- (* (* y y) y) (* (* x x) y))) (* +nan.0 (- (* y y)))) (+ (* x (* x x)) (+ (/ (* 3/8 (* y y)) x) (* 3/2 (* x y)))) (- (+ (* x (* x x)) (+ (/ (* 3/8 (* y y)) x) (* 3/2 (* x y))))) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 3.076 * * * [progress]: adding candidates to table 3.652 * * [progress]: iteration 3 / 4 3.652 * * * [progress]: picking best candidate 3.659 * * * * [pick]: Picked # 3.659 * * * [progress]: localizing error 3.667 * * * [progress]: generating rewritten candidates 3.667 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.675 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.719 * * * [progress]: generating series expansions 3.719 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.720 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 3.720 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 3.720 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 3.720 * [taylor]: Taking taylor expansion of -1/2 in y 3.720 * [backup-simplify]: Simplify -1/2 into -1/2 3.720 * [taylor]: Taking taylor expansion of (/ y x) in y 3.720 * [taylor]: Taking taylor expansion of y in y 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [taylor]: Taking taylor expansion of x in y 3.720 * [backup-simplify]: Simplify x into x 3.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.720 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.720 * [taylor]: Taking taylor expansion of -1/2 in x 3.720 * [backup-simplify]: Simplify -1/2 into -1/2 3.720 * [taylor]: Taking taylor expansion of (/ y x) in x 3.720 * [taylor]: Taking taylor expansion of y in x 3.720 * [backup-simplify]: Simplify y into y 3.720 * [taylor]: Taking taylor expansion of x in x 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (/ y 1) into y 3.720 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 3.720 * [taylor]: Taking taylor expansion of -1/2 in x 3.720 * [backup-simplify]: Simplify -1/2 into -1/2 3.720 * [taylor]: Taking taylor expansion of (/ y x) in x 3.720 * [taylor]: Taking taylor expansion of y in x 3.720 * [backup-simplify]: Simplify y into y 3.720 * [taylor]: Taking taylor expansion of x in x 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.720 * [backup-simplify]: Simplify (/ y 1) into y 3.720 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 3.720 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 3.720 * [taylor]: Taking taylor expansion of -1/2 in y 3.720 * [backup-simplify]: Simplify -1/2 into -1/2 3.720 * [taylor]: Taking taylor expansion of y in y 3.720 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify 1 into 1 3.721 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 3.721 * [backup-simplify]: Simplify -1/2 into -1/2 3.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 3.722 * [taylor]: Taking taylor expansion of 0 in y 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.723 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.724 * [taylor]: Taking taylor expansion of 0 in y 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 0 into 0 3.725 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.725 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.727 * [taylor]: Taking taylor expansion of 0 in y 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 3.727 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 3.727 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 3.727 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.727 * [taylor]: Taking taylor expansion of -1/2 in y 3.727 * [backup-simplify]: Simplify -1/2 into -1/2 3.727 * [taylor]: Taking taylor expansion of (/ x y) in y 3.727 * [taylor]: Taking taylor expansion of x in y 3.727 * [backup-simplify]: Simplify x into x 3.727 * [taylor]: Taking taylor expansion of y in y 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (/ x 1) into x 3.727 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.727 * [taylor]: Taking taylor expansion of -1/2 in x 3.727 * [backup-simplify]: Simplify -1/2 into -1/2 3.727 * [taylor]: Taking taylor expansion of (/ x y) in x 3.727 * [taylor]: Taking taylor expansion of x in x 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of y in x 3.728 * [backup-simplify]: Simplify y into y 3.728 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.728 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.728 * [taylor]: Taking taylor expansion of -1/2 in x 3.728 * [backup-simplify]: Simplify -1/2 into -1/2 3.728 * [taylor]: Taking taylor expansion of (/ x y) in x 3.728 * [taylor]: Taking taylor expansion of x in x 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of y in x 3.728 * [backup-simplify]: Simplify y into y 3.728 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.728 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 3.728 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.728 * [taylor]: Taking taylor expansion of -1/2 in y 3.728 * [backup-simplify]: Simplify -1/2 into -1/2 3.728 * [taylor]: Taking taylor expansion of y in y 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.728 * [backup-simplify]: Simplify -1/2 into -1/2 3.728 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.729 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 3.729 * [taylor]: Taking taylor expansion of 0 in y 3.729 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify 0 into 0 3.730 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.731 * [taylor]: Taking taylor expansion of 0 in y 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.732 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.734 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.734 * [taylor]: Taking taylor expansion of 0 in y 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 3.736 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 3.736 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 3.736 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 3.736 * [taylor]: Taking taylor expansion of -1/2 in y 3.736 * [backup-simplify]: Simplify -1/2 into -1/2 3.736 * [taylor]: Taking taylor expansion of (/ x y) in y 3.736 * [taylor]: Taking taylor expansion of x in y 3.736 * [backup-simplify]: Simplify x into x 3.736 * [taylor]: Taking taylor expansion of y in y 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [backup-simplify]: Simplify (/ x 1) into x 3.736 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.736 * [taylor]: Taking taylor expansion of -1/2 in x 3.736 * [backup-simplify]: Simplify -1/2 into -1/2 3.736 * [taylor]: Taking taylor expansion of (/ x y) in x 3.736 * [taylor]: Taking taylor expansion of x in x 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.737 * [taylor]: Taking taylor expansion of y in x 3.737 * [backup-simplify]: Simplify y into y 3.737 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.737 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 3.737 * [taylor]: Taking taylor expansion of -1/2 in x 3.737 * [backup-simplify]: Simplify -1/2 into -1/2 3.737 * [taylor]: Taking taylor expansion of (/ x y) in x 3.737 * [taylor]: Taking taylor expansion of x in x 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.737 * [taylor]: Taking taylor expansion of y in x 3.737 * [backup-simplify]: Simplify y into y 3.737 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.737 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 3.737 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.737 * [taylor]: Taking taylor expansion of -1/2 in y 3.737 * [backup-simplify]: Simplify -1/2 into -1/2 3.737 * [taylor]: Taking taylor expansion of y in y 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify 1 into 1 3.738 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.738 * [backup-simplify]: Simplify -1/2 into -1/2 3.738 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.739 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 3.739 * [taylor]: Taking taylor expansion of 0 in y 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.741 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.741 * [taylor]: Taking taylor expansion of 0 in y 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.743 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.743 * [taylor]: Taking taylor expansion of 0 in y 3.743 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 3.745 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.745 * [backup-simplify]: Simplify (- (/ -1/2 (/ x y)) x) into (- (+ x (* 1/2 (/ y x)))) 3.745 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (x y) around 0 3.745 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.745 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.745 * [taylor]: Taking taylor expansion of x in y 3.745 * [backup-simplify]: Simplify x into x 3.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.745 * [taylor]: Taking taylor expansion of 1/2 in y 3.745 * [backup-simplify]: Simplify 1/2 into 1/2 3.745 * [taylor]: Taking taylor expansion of (/ y x) in y 3.745 * [taylor]: Taking taylor expansion of y in y 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [taylor]: Taking taylor expansion of x in y 3.746 * [backup-simplify]: Simplify x into x 3.746 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.746 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 3.746 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.746 * [taylor]: Taking taylor expansion of 1/2 in x 3.746 * [backup-simplify]: Simplify 1/2 into 1/2 3.746 * [taylor]: Taking taylor expansion of (/ y x) in x 3.746 * [taylor]: Taking taylor expansion of y in x 3.746 * [backup-simplify]: Simplify y into y 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [backup-simplify]: Simplify (/ y 1) into y 3.746 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 3.746 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 3.746 * [taylor]: Taking taylor expansion of x in x 3.746 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify 1 into 1 3.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.746 * [taylor]: Taking taylor expansion of 1/2 in x 3.746 * [backup-simplify]: Simplify 1/2 into 1/2 3.746 * [taylor]: Taking taylor expansion of (/ y x) in x 3.746 * [taylor]: Taking taylor expansion of y in x 3.746 * [backup-simplify]: Simplify y into y 3.747 * [taylor]: Taking taylor expansion of x in x 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ y 1) into y 3.747 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 3.747 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 3.747 * [backup-simplify]: Simplify (- (* 1/2 y)) into (- (* 1/2 y)) 3.747 * [taylor]: Taking taylor expansion of (- (* 1/2 y)) in y 3.747 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 3.747 * [taylor]: Taking taylor expansion of 1/2 in y 3.747 * [backup-simplify]: Simplify 1/2 into 1/2 3.747 * [taylor]: Taking taylor expansion of y in y 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.748 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.748 * [backup-simplify]: Simplify (- 0) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (- 0) into 0 3.750 * [taylor]: Taking taylor expansion of 0 in y 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.751 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.752 * [backup-simplify]: Simplify -1/2 into -1/2 3.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 3.754 * [backup-simplify]: Simplify (+ 1 0) into 1 3.755 * [backup-simplify]: Simplify (- 1) into -1 3.755 * [taylor]: Taking taylor expansion of -1 in y 3.755 * [backup-simplify]: Simplify -1 into -1 3.755 * [backup-simplify]: Simplify -1 into -1 3.755 * [backup-simplify]: Simplify 0 into 0 3.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.756 * [backup-simplify]: Simplify (- 0) into 0 3.756 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.760 * [backup-simplify]: Simplify (+ 0 0) into 0 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [taylor]: Taking taylor expansion of 0 in y 3.760 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.762 * [backup-simplify]: Simplify (- 0) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify (+ (* -1 (* 1 x)) (* -1/2 (* y (/ 1 x)))) into (- (+ x (* 1/2 (/ y x)))) 3.763 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 x) (/ 1 y))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 3.763 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (x y) around 0 3.763 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.763 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.763 * [taylor]: Taking taylor expansion of 1/2 in y 3.763 * [backup-simplify]: Simplify 1/2 into 1/2 3.763 * [taylor]: Taking taylor expansion of (/ x y) in y 3.763 * [taylor]: Taking taylor expansion of x in y 3.763 * [backup-simplify]: Simplify x into x 3.763 * [taylor]: Taking taylor expansion of y in y 3.763 * [backup-simplify]: Simplify 0 into 0 3.763 * [backup-simplify]: Simplify 1 into 1 3.763 * [backup-simplify]: Simplify (/ x 1) into x 3.763 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.763 * [taylor]: Taking taylor expansion of x in y 3.763 * [backup-simplify]: Simplify x into x 3.763 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.763 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 3.763 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 3.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.763 * [taylor]: Taking taylor expansion of 1/2 in x 3.763 * [backup-simplify]: Simplify 1/2 into 1/2 3.763 * [taylor]: Taking taylor expansion of (/ x y) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [taylor]: Taking taylor expansion of y in x 3.764 * [backup-simplify]: Simplify y into y 3.764 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.764 * [backup-simplify]: Simplify (/ 1 1) into 1 3.764 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 3.764 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 3.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.764 * [taylor]: Taking taylor expansion of 1/2 in x 3.764 * [backup-simplify]: Simplify 1/2 into 1/2 3.764 * [taylor]: Taking taylor expansion of (/ x y) in x 3.764 * [taylor]: Taking taylor expansion of x in x 3.764 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify 1 into 1 3.765 * [taylor]: Taking taylor expansion of y in x 3.765 * [backup-simplify]: Simplify y into y 3.765 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.765 * [taylor]: Taking taylor expansion of x in x 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify 1 into 1 3.765 * [backup-simplify]: Simplify (/ 1 1) into 1 3.766 * [backup-simplify]: Simplify (+ 0 1) into 1 3.766 * [backup-simplify]: Simplify (- 1) into -1 3.766 * [taylor]: Taking taylor expansion of -1 in y 3.766 * [backup-simplify]: Simplify -1 into -1 3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.767 * [backup-simplify]: Simplify (+ 0 0) into 0 3.768 * [backup-simplify]: Simplify (- 0) into 0 3.768 * [taylor]: Taking taylor expansion of 0 in y 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify -1 into -1 3.768 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.769 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 3.769 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 y))) into (- (* 1/2 (/ 1 y))) 3.769 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y 3.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.769 * [taylor]: Taking taylor expansion of 1/2 in y 3.769 * [backup-simplify]: Simplify 1/2 into 1/2 3.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.769 * [taylor]: Taking taylor expansion of y in y 3.769 * [backup-simplify]: Simplify 0 into 0 3.769 * [backup-simplify]: Simplify 1 into 1 3.770 * [backup-simplify]: Simplify (/ 1 1) into 1 3.770 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.771 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.771 * [backup-simplify]: Simplify -1/2 into -1/2 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify (+ 0 0) into 0 3.773 * [backup-simplify]: Simplify (- 0) into 0 3.773 * [taylor]: Taking taylor expansion of 0 in y 3.773 * [backup-simplify]: Simplify 0 into 0 3.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.775 * [backup-simplify]: Simplify (- 0) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.778 * [backup-simplify]: Simplify (+ 0 0) into 0 3.778 * [backup-simplify]: Simplify (- 0) into 0 3.778 * [taylor]: Taking taylor expansion of 0 in y 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* -1 (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ y x)))) 3.779 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 3.779 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (x y) around 0 3.779 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.779 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.780 * [taylor]: Taking taylor expansion of x in y 3.780 * [backup-simplify]: Simplify x into x 3.780 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.780 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.780 * [taylor]: Taking taylor expansion of 1/2 in y 3.780 * [backup-simplify]: Simplify 1/2 into 1/2 3.780 * [taylor]: Taking taylor expansion of (/ x y) in y 3.780 * [taylor]: Taking taylor expansion of x in y 3.780 * [backup-simplify]: Simplify x into x 3.780 * [taylor]: Taking taylor expansion of y in y 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (/ x 1) into x 3.780 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 3.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.780 * [taylor]: Taking taylor expansion of x in x 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.781 * [taylor]: Taking taylor expansion of 1/2 in x 3.781 * [backup-simplify]: Simplify 1/2 into 1/2 3.781 * [taylor]: Taking taylor expansion of (/ x y) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [taylor]: Taking taylor expansion of y in x 3.781 * [backup-simplify]: Simplify y into y 3.781 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.781 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 3.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.781 * [taylor]: Taking taylor expansion of x in x 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.782 * [taylor]: Taking taylor expansion of 1/2 in x 3.782 * [backup-simplify]: Simplify 1/2 into 1/2 3.782 * [taylor]: Taking taylor expansion of (/ x y) in x 3.782 * [taylor]: Taking taylor expansion of x in x 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [taylor]: Taking taylor expansion of y in x 3.782 * [backup-simplify]: Simplify y into y 3.782 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.782 * [backup-simplify]: Simplify (+ 1 0) into 1 3.782 * [taylor]: Taking taylor expansion of 1 in y 3.782 * [backup-simplify]: Simplify 1 into 1 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.784 * [taylor]: Taking taylor expansion of 0 in y 3.784 * [backup-simplify]: Simplify 0 into 0 3.784 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.785 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 3.785 * [backup-simplify]: Simplify (- (/ 1/2 y)) into (- (* 1/2 (/ 1 y))) 3.785 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 y)))) into (- (* 1/2 (/ 1 y))) 3.785 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y 3.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 3.785 * [taylor]: Taking taylor expansion of 1/2 in y 3.785 * [backup-simplify]: Simplify 1/2 into 1/2 3.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.785 * [taylor]: Taking taylor expansion of y in y 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (/ 1 1) into 1 3.786 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.787 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.787 * [backup-simplify]: Simplify -1/2 into -1/2 3.787 * [backup-simplify]: Simplify 0 into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 3.789 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.789 * [taylor]: Taking taylor expansion of 0 in y 3.789 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.792 * [backup-simplify]: Simplify (- 0) into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.794 * [backup-simplify]: Simplify (- 0) into 0 3.795 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [taylor]: Taking taylor expansion of 0 in y 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 3.795 * * * [progress]: simplifying candidates 3.798 * [simplify]: Simplifying: (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (/ (exp (/ -1/2 (/ x y))) (exp x)) (log (- (/ -1/2 (/ x y)) x)) (exp (- (/ -1/2 (/ x y)) x)) (* (cbrt (- (/ -1/2 (/ x y)) x)) (cbrt (- (/ -1/2 (/ x y)) x))) (cbrt (- (/ -1/2 (/ x y)) x)) (* (* (- (/ -1/2 (/ x y)) x) (- (/ -1/2 (/ x y)) x)) (- (/ -1/2 (/ x y)) x)) (sqrt (- (/ -1/2 (/ x y)) x)) (sqrt (- (/ -1/2 (/ x y)) x)) (- (pow (/ -1/2 (/ x y)) 3) (pow x 3)) (+ (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (+ (* x x) (* (/ -1/2 (/ x y)) x))) (- x) (- (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (* x x)) (+ (/ -1/2 (/ x y)) x) (+ (sqrt (/ -1/2 (/ x y))) (sqrt x)) (- (sqrt (/ -1/2 (/ x y))) (sqrt x)) (+ (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (+ (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x)) (- (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x)) (- (/ -1/2 (/ x y)) x) (- x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 3.801 * * [simplify]: iteration 0: 180 enodes 3.874 * * [simplify]: iteration 1: 447 enodes 4.030 * * [simplify]: iteration 2: 1728 enodes 4.611 * * [simplify]: iteration complete: 5001 enodes 4.611 * * [simplify]: Extracting #0: cost 112 inf + 0 4.616 * * [simplify]: Extracting #1: cost 1180 inf + 3 4.628 * * [simplify]: Extracting #2: cost 1528 inf + 10557 4.655 * * [simplify]: Extracting #3: cost 1065 inf + 86287 4.712 * * [simplify]: Extracting #4: cost 173 inf + 268206 4.809 * * [simplify]: Extracting #5: cost 3 inf + 307414 4.903 * * [simplify]: Extracting #6: cost 0 inf + 308203 4.979 * [simplify]: Simplified to: (log (* (/ -1/2 x) y)) (log (* (/ -1/2 x) y)) (log (* (/ -1/2 x) y)) (exp (* (/ -1/2 x) y)) (/ (/ (/ -1/8 (/ x y)) (/ x y)) (/ x y)) (/ (/ (/ -1/8 (/ x y)) (/ x y)) (/ x y)) (* (cbrt (* (/ -1/2 x) y)) (cbrt (* (/ -1/2 x) y))) (cbrt (* (/ -1/2 x) y)) (/ (/ (/ -1/8 (/ x y)) (/ x y)) (/ x y)) (sqrt (* (/ -1/2 x) y)) (sqrt (* (/ -1/2 x) y)) 1/2 (/ (- x) y) (* (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (/ (sqrt (/ x y)) (cbrt -1/2))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y)))) (* (cbrt y) (/ (cbrt -1/2) (cbrt x))) (* (* (sqrt y) (/ (cbrt -1/2) (cbrt x))) (/ (cbrt -1/2) (cbrt x))) (* (cbrt -1/2) (/ (sqrt y) (cbrt x))) (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (/ (* (cbrt -1/2) y) (cbrt x)) (/ (* (* (cbrt -1/2) (cbrt y)) (* (cbrt -1/2) (cbrt y))) (sqrt x)) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (* (/ (cbrt -1/2) (sqrt x)) (* (cbrt -1/2) (sqrt y))) (/ (* (sqrt y) (cbrt -1/2)) (sqrt x)) (/ (cbrt -1/2) (/ (sqrt x) (cbrt -1/2))) (/ (* y (cbrt -1/2)) (sqrt x)) (* (* (cbrt -1/2) (cbrt y)) (* (cbrt -1/2) (cbrt y))) (* (cbrt y) (/ (cbrt -1/2) x)) (* (* (sqrt y) (cbrt -1/2)) (cbrt -1/2)) (/ (cbrt -1/2) (/ x (sqrt y))) (* (cbrt -1/2) (cbrt -1/2)) (* (/ (cbrt -1/2) x) y) (* (cbrt -1/2) (cbrt -1/2)) (* (/ (cbrt -1/2) x) y) (/ (cbrt -1/2) (/ x (cbrt -1/2))) (* y (cbrt -1/2)) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ (* (cbrt y) (sqrt -1/2)) (cbrt x)) (/ (* (sqrt y) (sqrt -1/2)) (* (cbrt x) (cbrt x))) (/ (* (sqrt y) (sqrt -1/2)) (cbrt x)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (* (/ (sqrt -1/2) (cbrt x)) y) (/ (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (* (cbrt y) (sqrt -1/2)) (sqrt x)) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (/ (sqrt -1/2) (sqrt x)) (* (/ (sqrt -1/2) (sqrt x)) y) (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (/ (sqrt -1/2) (/ x (cbrt y))) (* (sqrt -1/2) (sqrt y)) (* (/ (sqrt -1/2) x) (sqrt y)) (sqrt -1/2) (* (/ (sqrt -1/2) x) y) (sqrt -1/2) (* (/ (sqrt -1/2) x) y) (/ (sqrt -1/2) x) (* y (sqrt -1/2)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (/ -1/2 (cbrt x)) (cbrt y)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* (sqrt y) -1/2) (cbrt x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (* y -1/2) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (/ (* -1/2 (cbrt y)) (sqrt x)) (/ (sqrt y) (sqrt x)) (/ (* (sqrt y) -1/2) (sqrt x)) (/ 1 (sqrt x)) (* (/ -1/2 (sqrt x)) y) (* (cbrt y) (cbrt y)) (/ (* -1/2 (cbrt y)) x) (sqrt y) (* (sqrt y) (/ -1/2 x)) 1 (* (/ -1/2 x) y) 1 (* (/ -1/2 x) y) (/ 1 x) (* y -1/2) (/ y x) (/ x (* y -1/2)) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (/ -1/2 (* (cbrt x) (/ (cbrt x) (sqrt y)))) (/ -1/2 (* (cbrt x) (cbrt x))) (* (* (/ -1/2 (sqrt x)) (cbrt y)) (cbrt y)) (/ (* (sqrt y) -1/2) (sqrt x)) (/ -1/2 (sqrt x)) (* (* -1/2 (cbrt y)) (cbrt y)) (* (sqrt y) -1/2) -1/2 -1/2 (/ -1/2 x) (/ x (* y (cbrt -1/2))) (/ x (* y (sqrt -1/2))) (/ x (* y -1/2)) (/ -1/2 x) (exp (- (* (/ -1/2 x) y) x)) (log (- (* (/ -1/2 x) y) x)) (exp (- (* (/ -1/2 x) y) x)) (* (cbrt (- (* (/ -1/2 x) y) x)) (cbrt (- (* (/ -1/2 x) y) x))) (cbrt (- (* (/ -1/2 x) y) x)) (* (- (* (/ -1/2 x) y) x) (* (- (* (/ -1/2 x) y) x) (- (* (/ -1/2 x) y) x))) (sqrt (- (* (/ -1/2 x) y) x)) (sqrt (- (* (/ -1/2 x) y) x)) (- (/ (/ (/ -1/8 (/ x y)) (/ x y)) (/ x y)) (* x (* x x))) (+ (* x x) (* (* (/ -1/2 x) y) (+ (* (/ -1/2 x) y) x))) (- x) (- (/ (/ 1/4 (/ x y)) (/ x y)) (* x x)) (+ x (* (/ -1/2 x) y)) (+ (sqrt x) (sqrt (* (/ -1/2 x) y))) (- (sqrt (* (/ -1/2 x) y)) (sqrt x)) (+ (sqrt x) (/ (sqrt -1/2) (sqrt (/ x y)))) (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (+ (sqrt x) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x))) (- (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (sqrt x)) (- (* (/ -1/2 x) y) x) (- x) (/ (* y -1/2) x) (/ (* y -1/2) x) (/ (* y -1/2) x) (+ (- x) (/ (* y -1/2) x)) (+ (- x) (/ (* y -1/2) x)) (+ (- x) (/ (* y -1/2) x)) 4.984 * * * [progress]: adding candidates to table 5.399 * * [progress]: iteration 4 / 4 5.399 * * * [progress]: picking best candidate 5.402 * * * * [pick]: Picked # 5.402 * * * [progress]: localizing error 5.410 * * * [progress]: generating rewritten candidates 5.410 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 5.430 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.441 * * * [progress]: generating series expansions 5.441 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 5.441 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 5.441 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 5.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.441 * [taylor]: Taking taylor expansion of 1/2 in x 5.441 * [backup-simplify]: Simplify 1/2 into 1/2 5.441 * [taylor]: Taking taylor expansion of (/ y x) in x 5.441 * [taylor]: Taking taylor expansion of y in x 5.441 * [backup-simplify]: Simplify y into y 5.441 * [taylor]: Taking taylor expansion of x in x 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (/ y 1) into y 5.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.441 * [taylor]: Taking taylor expansion of 1/2 in y 5.442 * [backup-simplify]: Simplify 1/2 into 1/2 5.442 * [taylor]: Taking taylor expansion of (/ y x) in y 5.442 * [taylor]: Taking taylor expansion of y in y 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [taylor]: Taking taylor expansion of x in y 5.442 * [backup-simplify]: Simplify x into x 5.442 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.442 * [taylor]: Taking taylor expansion of 1/2 in y 5.442 * [backup-simplify]: Simplify 1/2 into 1/2 5.442 * [taylor]: Taking taylor expansion of (/ y x) in y 5.442 * [taylor]: Taking taylor expansion of y in y 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.442 * [taylor]: Taking taylor expansion of x in y 5.442 * [backup-simplify]: Simplify x into x 5.442 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.442 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 5.442 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.442 * [taylor]: Taking taylor expansion of 1/2 in x 5.442 * [backup-simplify]: Simplify 1/2 into 1/2 5.442 * [taylor]: Taking taylor expansion of x in x 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify 1 into 1 5.443 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.443 * [backup-simplify]: Simplify 1/2 into 1/2 5.443 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 5.444 * [taylor]: Taking taylor expansion of 0 in x 5.444 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.446 * [taylor]: Taking taylor expansion of 0 in x 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.450 * [taylor]: Taking taylor expansion of 0 in x 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 5.451 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 5.451 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.451 * [taylor]: Taking taylor expansion of 1/2 in x 5.451 * [backup-simplify]: Simplify 1/2 into 1/2 5.451 * [taylor]: Taking taylor expansion of (/ x y) in x 5.451 * [taylor]: Taking taylor expansion of x in x 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 1 into 1 5.451 * [taylor]: Taking taylor expansion of y in x 5.451 * [backup-simplify]: Simplify y into y 5.451 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.451 * [taylor]: Taking taylor expansion of 1/2 in y 5.451 * [backup-simplify]: Simplify 1/2 into 1/2 5.452 * [taylor]: Taking taylor expansion of (/ x y) in y 5.452 * [taylor]: Taking taylor expansion of x in y 5.452 * [backup-simplify]: Simplify x into x 5.452 * [taylor]: Taking taylor expansion of y in y 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.452 * [backup-simplify]: Simplify (/ x 1) into x 5.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.452 * [taylor]: Taking taylor expansion of 1/2 in y 5.452 * [backup-simplify]: Simplify 1/2 into 1/2 5.452 * [taylor]: Taking taylor expansion of (/ x y) in y 5.452 * [taylor]: Taking taylor expansion of x in y 5.452 * [backup-simplify]: Simplify x into x 5.452 * [taylor]: Taking taylor expansion of y in y 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.452 * [backup-simplify]: Simplify (/ x 1) into x 5.452 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.452 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.452 * [taylor]: Taking taylor expansion of 1/2 in x 5.452 * [backup-simplify]: Simplify 1/2 into 1/2 5.452 * [taylor]: Taking taylor expansion of x in x 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify 1 into 1 5.453 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.453 * [backup-simplify]: Simplify 1/2 into 1/2 5.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.454 * [taylor]: Taking taylor expansion of 0 in x 5.454 * [backup-simplify]: Simplify 0 into 0 5.454 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.455 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.458 * [taylor]: Taking taylor expansion of 0 in x 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.459 * [backup-simplify]: Simplify 0 into 0 5.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.462 * [taylor]: Taking taylor expansion of 0 in x 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 5.462 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 5.462 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.462 * [taylor]: Taking taylor expansion of 1/2 in x 5.462 * [backup-simplify]: Simplify 1/2 into 1/2 5.462 * [taylor]: Taking taylor expansion of (/ x y) in x 5.462 * [taylor]: Taking taylor expansion of x in x 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 1 into 1 5.462 * [taylor]: Taking taylor expansion of y in x 5.462 * [backup-simplify]: Simplify y into y 5.462 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.463 * [taylor]: Taking taylor expansion of 1/2 in y 5.463 * [backup-simplify]: Simplify 1/2 into 1/2 5.463 * [taylor]: Taking taylor expansion of (/ x y) in y 5.463 * [taylor]: Taking taylor expansion of x in y 5.463 * [backup-simplify]: Simplify x into x 5.463 * [taylor]: Taking taylor expansion of y in y 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (/ x 1) into x 5.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.463 * [taylor]: Taking taylor expansion of 1/2 in y 5.463 * [backup-simplify]: Simplify 1/2 into 1/2 5.463 * [taylor]: Taking taylor expansion of (/ x y) in y 5.463 * [taylor]: Taking taylor expansion of x in y 5.463 * [backup-simplify]: Simplify x into x 5.463 * [taylor]: Taking taylor expansion of y in y 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.463 * [backup-simplify]: Simplify (/ x 1) into x 5.463 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.463 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.463 * [taylor]: Taking taylor expansion of 1/2 in x 5.463 * [backup-simplify]: Simplify 1/2 into 1/2 5.463 * [taylor]: Taking taylor expansion of x in x 5.463 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify 1 into 1 5.464 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.464 * [backup-simplify]: Simplify 1/2 into 1/2 5.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.465 * [taylor]: Taking taylor expansion of 0 in x 5.465 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.467 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.469 * [taylor]: Taking taylor expansion of 0 in x 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 0 into 0 5.469 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.471 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.473 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.474 * [taylor]: Taking taylor expansion of 0 in x 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 5.474 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.474 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 5.474 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 5.474 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 5.474 * [taylor]: Taking taylor expansion of x in y 5.474 * [backup-simplify]: Simplify x into x 5.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.474 * [taylor]: Taking taylor expansion of 1/2 in y 5.474 * [backup-simplify]: Simplify 1/2 into 1/2 5.474 * [taylor]: Taking taylor expansion of (/ y x) in y 5.474 * [taylor]: Taking taylor expansion of y in y 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.474 * [taylor]: Taking taylor expansion of x in y 5.474 * [backup-simplify]: Simplify x into x 5.474 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.475 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.475 * [taylor]: Taking taylor expansion of 1/2 in x 5.475 * [backup-simplify]: Simplify 1/2 into 1/2 5.475 * [taylor]: Taking taylor expansion of (/ y x) in x 5.475 * [taylor]: Taking taylor expansion of y in x 5.475 * [backup-simplify]: Simplify y into y 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [backup-simplify]: Simplify (/ y 1) into y 5.475 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.475 * [taylor]: Taking taylor expansion of 1/2 in x 5.475 * [backup-simplify]: Simplify 1/2 into 1/2 5.475 * [taylor]: Taking taylor expansion of (/ y x) in x 5.475 * [taylor]: Taking taylor expansion of y in x 5.475 * [backup-simplify]: Simplify y into y 5.475 * [taylor]: Taking taylor expansion of x in x 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [backup-simplify]: Simplify (/ y 1) into y 5.475 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 5.475 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 5.476 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 5.476 * [taylor]: Taking taylor expansion of 1/2 in y 5.476 * [backup-simplify]: Simplify 1/2 into 1/2 5.476 * [taylor]: Taking taylor expansion of y in y 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [backup-simplify]: Simplify 1 into 1 5.476 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.476 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 5.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 5.478 * [backup-simplify]: Simplify (+ 0 0) into 0 5.478 * [taylor]: Taking taylor expansion of 0 in y 5.478 * [backup-simplify]: Simplify 0 into 0 5.478 * [backup-simplify]: Simplify 0 into 0 5.479 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.479 * [backup-simplify]: Simplify 1/2 into 1/2 5.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 5.482 * [backup-simplify]: Simplify (+ 1 0) into 1 5.482 * [taylor]: Taking taylor expansion of 1 in y 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify 0 into 0 5.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.483 * [backup-simplify]: Simplify 0 into 0 5.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.486 * [backup-simplify]: Simplify (+ 0 0) into 0 5.486 * [taylor]: Taking taylor expansion of 0 in y 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.487 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 5.488 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 5.488 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 5.488 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 5.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.488 * [taylor]: Taking taylor expansion of 1/2 in y 5.488 * [backup-simplify]: Simplify 1/2 into 1/2 5.488 * [taylor]: Taking taylor expansion of (/ x y) in y 5.488 * [taylor]: Taking taylor expansion of x in y 5.488 * [backup-simplify]: Simplify x into x 5.488 * [taylor]: Taking taylor expansion of y in y 5.488 * [backup-simplify]: Simplify 0 into 0 5.488 * [backup-simplify]: Simplify 1 into 1 5.488 * [backup-simplify]: Simplify (/ x 1) into x 5.488 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.488 * [taylor]: Taking taylor expansion of x in y 5.488 * [backup-simplify]: Simplify x into x 5.488 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.488 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 5.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.488 * [taylor]: Taking taylor expansion of 1/2 in x 5.488 * [backup-simplify]: Simplify 1/2 into 1/2 5.488 * [taylor]: Taking taylor expansion of (/ x y) in x 5.488 * [taylor]: Taking taylor expansion of x in x 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [taylor]: Taking taylor expansion of y in x 5.489 * [backup-simplify]: Simplify y into y 5.489 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.489 * [taylor]: Taking taylor expansion of x in x 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.489 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 5.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.489 * [taylor]: Taking taylor expansion of 1/2 in x 5.489 * [backup-simplify]: Simplify 1/2 into 1/2 5.489 * [taylor]: Taking taylor expansion of (/ x y) in x 5.489 * [taylor]: Taking taylor expansion of x in x 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [taylor]: Taking taylor expansion of y in x 5.489 * [backup-simplify]: Simplify y into y 5.489 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.489 * [taylor]: Taking taylor expansion of x in x 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify 1 into 1 5.490 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [backup-simplify]: Simplify (+ 0 1) into 1 5.490 * [taylor]: Taking taylor expansion of 1 in y 5.490 * [backup-simplify]: Simplify 1 into 1 5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ 0 0) into 0 5.491 * [taylor]: Taking taylor expansion of 0 in y 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 5.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.493 * [taylor]: Taking taylor expansion of 1/2 in y 5.493 * [backup-simplify]: Simplify 1/2 into 1/2 5.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.493 * [taylor]: Taking taylor expansion of y in y 5.493 * [backup-simplify]: Simplify 0 into 0 5.493 * [backup-simplify]: Simplify 1 into 1 5.493 * [backup-simplify]: Simplify (/ 1 1) into 1 5.494 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.494 * [backup-simplify]: Simplify 1/2 into 1/2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (+ 0 0) into 0 5.496 * [taylor]: Taking taylor expansion of 0 in y 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.499 * [backup-simplify]: Simplify (+ 0 0) into 0 5.499 * [taylor]: Taking taylor expansion of 0 in y 5.499 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 5.500 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 5.500 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 5.500 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 5.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.500 * [taylor]: Taking taylor expansion of 1/2 in y 5.500 * [backup-simplify]: Simplify 1/2 into 1/2 5.500 * [taylor]: Taking taylor expansion of (/ x y) in y 5.500 * [taylor]: Taking taylor expansion of x in y 5.500 * [backup-simplify]: Simplify x into x 5.500 * [taylor]: Taking taylor expansion of y in y 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 1 into 1 5.500 * [backup-simplify]: Simplify (/ x 1) into x 5.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.500 * [taylor]: Taking taylor expansion of x in y 5.500 * [backup-simplify]: Simplify x into x 5.501 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.501 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 5.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.501 * [taylor]: Taking taylor expansion of 1/2 in x 5.501 * [backup-simplify]: Simplify 1/2 into 1/2 5.501 * [taylor]: Taking taylor expansion of (/ x y) in x 5.501 * [taylor]: Taking taylor expansion of x in x 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.501 * [taylor]: Taking taylor expansion of y in x 5.501 * [backup-simplify]: Simplify y into y 5.501 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.501 * [taylor]: Taking taylor expansion of x in x 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.501 * [backup-simplify]: Simplify (/ 1 1) into 1 5.501 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 5.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.501 * [taylor]: Taking taylor expansion of 1/2 in x 5.501 * [backup-simplify]: Simplify 1/2 into 1/2 5.501 * [taylor]: Taking taylor expansion of (/ x y) in x 5.501 * [taylor]: Taking taylor expansion of x in x 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.502 * [taylor]: Taking taylor expansion of y in x 5.502 * [backup-simplify]: Simplify y into y 5.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.502 * [taylor]: Taking taylor expansion of x in x 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (/ 1 1) into 1 5.502 * [backup-simplify]: Simplify (- 1) into -1 5.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.503 * [taylor]: Taking taylor expansion of -1 in y 5.503 * [backup-simplify]: Simplify -1 into -1 5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (- 0) into 0 5.504 * [backup-simplify]: Simplify (+ 0 0) into 0 5.504 * [taylor]: Taking taylor expansion of 0 in y 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify -1 into -1 5.504 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.506 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 5.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.506 * [taylor]: Taking taylor expansion of 1/2 in y 5.506 * [backup-simplify]: Simplify 1/2 into 1/2 5.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.506 * [taylor]: Taking taylor expansion of y in y 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [backup-simplify]: Simplify (/ 1 1) into 1 5.507 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.507 * [backup-simplify]: Simplify 1/2 into 1/2 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.509 * [backup-simplify]: Simplify (- 0) into 0 5.509 * [backup-simplify]: Simplify (+ 0 0) into 0 5.509 * [taylor]: Taking taylor expansion of 0 in y 5.509 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.518 * [backup-simplify]: Simplify (- 0) into 0 5.519 * [backup-simplify]: Simplify (+ 0 0) into 0 5.519 * [taylor]: Taking taylor expansion of 0 in y 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 5.519 * * * [progress]: simplifying candidates 5.520 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 5.522 * * [simplify]: iteration 0: 87 enodes 5.563 * * [simplify]: iteration 1: 238 enodes 5.667 * * [simplify]: iteration 2: 805 enodes 6.492 * * [simplify]: iteration 3: 3513 enodes 7.283 * * [simplify]: iteration complete: 5000 enodes 7.284 * * [simplify]: Extracting #0: cost 34 inf + 0 7.287 * * [simplify]: Extracting #1: cost 784 inf + 1 7.293 * * [simplify]: Extracting #2: cost 1402 inf + 10689 7.319 * * [simplify]: Extracting #3: cost 609 inf + 147067 7.370 * * [simplify]: Extracting #4: cost 95 inf + 266968 7.421 * * [simplify]: Extracting #5: cost 1 inf + 298237 7.473 * * [simplify]: Extracting #6: cost 0 inf + 298741 7.523 * [simplify]: Simplified to: (* (/ y x) 1/2) (log (* (/ y x) 1/2)) (log (* (/ y x) 1/2)) (log (* (/ y x) 1/2)) (sqrt (exp (/ y x))) (* (* (/ y x) (/ y x)) (* (/ y x) 1/8)) (* (* (/ y x) (/ y x)) (* (/ y x) 1/8)) (* (cbrt (* (/ y x) 1/2)) (cbrt (* (/ y x) 1/2))) (cbrt (* (/ y x) 1/2)) (* (* (/ y x) (/ y x)) (* (/ y x) 1/8)) (sqrt (* (/ y x) 1/2)) (sqrt (* (/ y x) 1/2)) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (/ (sqrt y) (/ (sqrt x) (sqrt 1/2))) (/ (sqrt y) (/ (sqrt x) (sqrt 1/2))) (* (cbrt (/ y x)) (* (cbrt (/ y x)) 1/2)) (* (sqrt (/ y x)) 1/2) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (/ (* (cbrt y) 1/2) (/ (sqrt x) (cbrt y))) (* (cbrt y) (* (cbrt y) 1/2)) (* (/ 1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (/ 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (/ y (/ x (cbrt 1/2))) (/ y (/ x (sqrt 1/2))) (* (/ y x) 1/2) (* 1/2 y) (exp (+ x (* (/ y x) 1/2))) (log (+ x (* (/ y x) 1/2))) (exp (+ x (* (/ y x) 1/2))) (* (cbrt (+ x (* (/ y x) 1/2))) (cbrt (+ x (* (/ y x) 1/2)))) (cbrt (+ x (* (/ y x) 1/2))) (* (* (+ x (* (/ y x) 1/2)) (+ x (* (/ y x) 1/2))) (+ x (* (/ y x) 1/2))) (sqrt (+ x (* (/ y x) 1/2))) (sqrt (+ x (* (/ y x) 1/2))) (+ (* (* (/ y x) (/ y x)) (* (/ y x) 1/8)) (* x (* x x))) (+ (* (* (/ y x) 1/2) (- (* (/ y x) 1/2) x)) (* x x)) (- (* x x) (* (* (/ y x) (/ y x)) 1/4)) (- x (* (/ y x) 1/2)) (* (/ y x) 1/2) (* (/ y x) 1/2) (* (/ y x) 1/2) (+ x (* (/ y x) 1/2)) (+ x (* (/ y x) 1/2)) (+ x (* (/ y x) 1/2)) 7.525 * * * [progress]: adding candidates to table 7.679 * [progress]: [Phase 3 of 3] Extracting. 7.679 * * [regime]: Finding splitpoints for: (# # # #) 7.679 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 7.679 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 7.722 * * * * [regimes]: Trying to branch on (* x x) from (# #) 7.757 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 7.802 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 7.830 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 7.890 * * * * [regimes]: Trying to branch on y from (# # # #) 7.948 * * * * [regimes]: Trying to branch on x from (# # # #) 8.029 * * * [regime]: Found split indices: #