25.924 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.031 * * [simplify]: iteration 0: 5 enodes 0.032 * * [simplify]: iteration 1: 6 enodes 0.033 * * [simplify]: iteration complete: 6 enodes 0.033 * * [simplify]: Extracting #0: cost 1 inf + 0 0.033 * * [simplify]: Extracting #1: cost 2 inf + 0 0.034 * * [simplify]: Extracting #2: cost 4 inf + 0 0.034 * * [simplify]: Extracting #3: cost 4 inf + 1 0.034 * * [simplify]: Extracting #4: cost 3 inf + 2 0.034 * * [simplify]: Extracting #5: cost 0 inf + 247 0.034 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.061 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.068 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.068 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.068 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.069 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [backup-simplify]: Simplify (+ 0 y) into y 0.069 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [backup-simplify]: Simplify y into y 0.070 * [backup-simplify]: Simplify (+ 0 y) into y 0.070 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.070 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (sqrt 0) into 0 0.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.073 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.073 * [taylor]: Taking taylor expansion of 1/2 in y 0.074 * [backup-simplify]: Simplify 1/2 into 1/2 0.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [backup-simplify]: Simplify (sqrt 0) into 0 0.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.077 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.077 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.080 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.081 * [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)))))) 0.081 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.081 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [backup-simplify]: Simplify x into x 0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ 0 1) into 1 0.082 * [backup-simplify]: Simplify (sqrt 0) into 0 0.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (+ 1 0) into 1 0.085 * [backup-simplify]: Simplify (sqrt 1) into 1 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (sqrt 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.094 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.094 * [taylor]: Taking taylor expansion of 1/2 in y 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.095 * [backup-simplify]: Simplify 1/2 into 1/2 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.102 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of -1/8 in y 0.102 * [backup-simplify]: Simplify -1/8 into -1/8 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.105 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.105 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [backup-simplify]: Simplify x into x 0.105 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.105 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 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) into -1 0.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.107 * [backup-simplify]: Simplify (sqrt 0) into 0 0.108 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.108 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [backup-simplify]: Simplify y into y 0.109 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.117 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.118 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.118 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.118 * [taylor]: Taking taylor expansion of -1/2 in y 0.118 * [backup-simplify]: Simplify -1/2 into -1/2 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.118 * [backup-simplify]: Simplify -1/2 into -1/2 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 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (- 0) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of -1/8 in y 0.129 * [backup-simplify]: Simplify -1/8 into -1/8 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.131 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.131 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.131 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (+ 0 y) into y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 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 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.135 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.135 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [backup-simplify]: Simplify x into x 0.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.149 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.149 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [backup-simplify]: Simplify x into x 0.149 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 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 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 into 1 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.156 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [backup-simplify]: Simplify (- 1) into -1 0.157 * [backup-simplify]: Simplify -1 into -1 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.164 * * * [progress]: simplifying candidates 0.164 * [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) 0.165 * * [simplify]: iteration 0: 59 enodes 0.184 * * [simplify]: iteration 1: 146 enodes 0.243 * * [simplify]: iteration 2: 399 enodes 0.435 * * [simplify]: iteration 3: 1369 enodes 1.204 * * [simplify]: iteration complete: 5005 enodes 1.204 * * [simplify]: Extracting #0: cost 28 inf + 0 1.205 * * [simplify]: Extracting #1: cost 307 inf + 2 1.210 * * [simplify]: Extracting #2: cost 1709 inf + 1359 1.232 * * [simplify]: Extracting #3: cost 1499 inf + 88282 1.293 * * [simplify]: Extracting #4: cost 310 inf + 279183 1.364 * * [simplify]: Extracting #5: cost 44 inf + 329806 1.449 * * [simplify]: Extracting #6: cost 14 inf + 334355 1.528 * * [simplify]: Extracting #7: cost 0 inf + 338297 1.616 * [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 (+ (- (* y y)) (- (* x x) y))) (+ (/ 1/2 (/ x y)) x) (- (/ (* y -1/2) x) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.618 * * * [progress]: adding candidates to table 1.767 * * [progress]: iteration 2 / 4 1.767 * * * [progress]: picking best candidate 1.782 * * * * [pick]: Picked # 1.782 * * * [progress]: localizing error 1.807 * * * [progress]: generating rewritten candidates 1.808 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.900 * * * [progress]: generating series expansions 1.900 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.900 * [backup-simplify]: Simplify (cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y))) into (sqrt (+ (pow x 2) y)) 1.900 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.900 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.900 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.900 * [taylor]: Taking taylor expansion of x in y 1.900 * [backup-simplify]: Simplify x into x 1.900 * [taylor]: Taking taylor expansion of y in y 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.900 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.900 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.900 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.901 * [backup-simplify]: Simplify (+ 0 1) into 1 1.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.901 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of y in x 1.901 * [backup-simplify]: Simplify y into y 1.901 * [backup-simplify]: Simplify (+ 0 y) into y 1.901 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.902 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of y in x 1.902 * [backup-simplify]: Simplify y into y 1.902 * [backup-simplify]: Simplify (+ 0 y) into y 1.902 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.902 * [backup-simplify]: Simplify (+ 0 0) into 0 1.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.902 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.902 * [taylor]: Taking taylor expansion of y in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (sqrt 0) into 0 1.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.904 * [backup-simplify]: Simplify (* 1 1) into 1 1.904 * [backup-simplify]: Simplify (+ 1 0) into 1 1.904 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.904 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.905 * [taylor]: Taking taylor expansion of 1/2 in y 1.905 * [backup-simplify]: Simplify 1/2 into 1/2 1.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.905 * [taylor]: Taking taylor expansion of y in y 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [backup-simplify]: Simplify (sqrt 0) into 0 1.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.907 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.907 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.907 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.910 * [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)))))) 1.910 * [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))) 1.910 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.910 * [taylor]: Taking taylor expansion of x in y 1.910 * [backup-simplify]: Simplify x into x 1.910 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.910 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.910 * [taylor]: Taking taylor expansion of y in y 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 1 1) into 1 1.911 * [backup-simplify]: Simplify (+ 0 1) into 1 1.911 * [backup-simplify]: Simplify (sqrt 0) into 0 1.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (* 1 1) into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.913 * [taylor]: Taking taylor expansion of y in x 1.913 * [backup-simplify]: Simplify y into y 1.913 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.915 * [backup-simplify]: Simplify (sqrt 1) into 1 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.918 * [taylor]: Taking taylor expansion of y in x 1.918 * [backup-simplify]: Simplify y into y 1.918 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.918 * [backup-simplify]: Simplify (+ 1 0) into 1 1.918 * [backup-simplify]: Simplify (sqrt 1) into 1 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.920 * [taylor]: Taking taylor expansion of 1 in y 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of 0 in y 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.922 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.922 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.922 * [taylor]: Taking taylor expansion of 1/2 in y 1.922 * [backup-simplify]: Simplify 1/2 into 1/2 1.922 * [taylor]: Taking taylor expansion of y in y 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.922 * [backup-simplify]: Simplify 1/2 into 1/2 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.924 * [taylor]: Taking taylor expansion of 0 in y 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.928 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.928 * [taylor]: Taking taylor expansion of -1/8 in y 1.928 * [backup-simplify]: Simplify -1/8 into -1/8 1.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.930 * [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))) 1.930 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.930 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.930 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.930 * [taylor]: Taking taylor expansion of x in y 1.930 * [backup-simplify]: Simplify x into x 1.930 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.930 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.930 * [taylor]: Taking taylor expansion of y in y 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (/ 1 1) into 1 1.931 * [backup-simplify]: Simplify (- 1) into -1 1.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.932 * [backup-simplify]: Simplify (sqrt 0) into 0 1.933 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.933 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.933 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.933 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.933 * [taylor]: Taking taylor expansion of y in x 1.933 * [backup-simplify]: Simplify y into y 1.933 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.934 * [backup-simplify]: Simplify (sqrt 1) into 1 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.935 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.936 * [taylor]: Taking taylor expansion of y in x 1.936 * [backup-simplify]: Simplify y into y 1.936 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.938 * [taylor]: Taking taylor expansion of 1 in y 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of 0 in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.939 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.940 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.940 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.940 * [taylor]: Taking taylor expansion of -1/2 in y 1.940 * [backup-simplify]: Simplify -1/2 into -1/2 1.940 * [taylor]: Taking taylor expansion of y in y 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.941 * [backup-simplify]: Simplify -1/2 into -1/2 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.943 * [taylor]: Taking taylor expansion of 0 in y 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.946 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.946 * [taylor]: Taking taylor expansion of -1/8 in y 1.946 * [backup-simplify]: Simplify -1/8 into -1/8 1.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.946 * [taylor]: Taking taylor expansion of y in y 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 1.948 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.948 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 1.948 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 1.948 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 1.948 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 1.948 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.948 * [taylor]: Taking taylor expansion of x in y 1.948 * [backup-simplify]: Simplify x into x 1.948 * [taylor]: Taking taylor expansion of y in y 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.949 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.949 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.949 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.949 * [backup-simplify]: Simplify (+ 0 1) into 1 1.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 1.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.949 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.949 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.949 * [taylor]: Taking taylor expansion of x in x 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [taylor]: Taking taylor expansion of y in x 1.949 * [backup-simplify]: Simplify y into y 1.949 * [backup-simplify]: Simplify (+ 0 y) into y 1.949 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 1.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 1.950 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of y in x 1.950 * [backup-simplify]: Simplify y into y 1.950 * [backup-simplify]: Simplify (+ 0 y) into y 1.950 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 1.950 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.950 * [taylor]: Taking taylor expansion of y in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (sqrt 0) into 0 1.951 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [taylor]: Taking taylor expansion of 0 in y 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.952 * [backup-simplify]: Simplify (* 1 1) into 1 1.952 * [backup-simplify]: Simplify (+ 1 0) into 1 1.953 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 1.953 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.953 * [taylor]: Taking taylor expansion of 1/2 in y 1.953 * [backup-simplify]: Simplify 1/2 into 1/2 1.953 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.953 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.953 * [taylor]: Taking taylor expansion of y in y 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (sqrt 0) into 0 1.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.955 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 1.955 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.955 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.958 * [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)))))) 1.958 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 1.958 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.958 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.958 * [taylor]: Taking taylor expansion of x in y 1.958 * [backup-simplify]: Simplify x into x 1.958 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.958 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.958 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.958 * [taylor]: Taking taylor expansion of y in y 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [backup-simplify]: Simplify (+ 0 1) into 1 1.959 * [backup-simplify]: Simplify (sqrt 0) into 0 1.960 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.960 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.961 * [taylor]: Taking taylor expansion of y in x 1.961 * [backup-simplify]: Simplify y into y 1.961 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.961 * [backup-simplify]: Simplify (+ 1 0) into 1 1.961 * [backup-simplify]: Simplify (sqrt 1) into 1 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.963 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.964 * [backup-simplify]: Simplify (+ 1 0) into 1 1.964 * [backup-simplify]: Simplify (sqrt 1) into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.966 * [taylor]: Taking taylor expansion of 1 in y 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of 0 in y 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.968 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 1.968 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.968 * [taylor]: Taking taylor expansion of 1/2 in y 1.968 * [backup-simplify]: Simplify 1/2 into 1/2 1.968 * [taylor]: Taking taylor expansion of y in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.969 * [backup-simplify]: Simplify 1/2 into 1/2 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.977 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.977 * [taylor]: Taking taylor expansion of -1/8 in y 1.977 * [backup-simplify]: Simplify -1/8 into -1/8 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 1.981 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 1.981 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 1.981 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 1.981 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.981 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.981 * [taylor]: Taking taylor expansion of x in y 1.981 * [backup-simplify]: Simplify x into x 1.981 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.981 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.981 * [taylor]: Taking taylor expansion of y in y 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (- 1) into -1 1.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.983 * [backup-simplify]: Simplify (sqrt 0) into 0 1.984 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.984 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.984 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.984 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.984 * [taylor]: Taking taylor expansion of x in x 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (* 1 1) into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [backup-simplify]: Simplify y into y 1.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.985 * [backup-simplify]: Simplify (+ 1 0) into 1 1.985 * [backup-simplify]: Simplify (sqrt 1) into 1 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.987 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 1.987 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.987 * [backup-simplify]: Simplify y into y 1.987 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.988 * [backup-simplify]: Simplify (+ 1 0) into 1 1.988 * [backup-simplify]: Simplify (sqrt 1) into 1 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.990 * [taylor]: Taking taylor expansion of 1 in y 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of 0 in y 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.991 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.992 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 1.992 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 1.992 * [taylor]: Taking taylor expansion of -1/2 in y 1.992 * [backup-simplify]: Simplify -1/2 into -1/2 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 1.992 * [backup-simplify]: Simplify -1/2 into -1/2 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.994 * [backup-simplify]: Simplify (- 0) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 1.995 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 1.999 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 1.999 * [taylor]: Taking taylor expansion of -1/8 in y 1.999 * [backup-simplify]: Simplify -1/8 into -1/8 1.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.999 * [taylor]: Taking taylor expansion of y in y 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 2.001 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.001 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) y)) (+ (* x x) y)) into (sqrt (pow (+ (pow x 2) y) 3)) 2.001 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in (x y) around 0 2.001 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in y 2.001 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in y 2.001 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.001 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.001 * [taylor]: Taking taylor expansion of x in y 2.001 * [backup-simplify]: Simplify x into x 2.001 * [taylor]: Taking taylor expansion of y in y 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.001 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.001 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 2.001 * [backup-simplify]: Simplify (* (pow x 2) (pow x 4)) into (pow x 6) 2.001 * [backup-simplify]: Simplify (sqrt (pow x 6)) into (pow x 3) 2.001 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.002 * [backup-simplify]: Simplify (+ 0 1) into 1 2.002 * [backup-simplify]: Simplify (+ (* (pow x 2) 1) (* 1 (pow x 2))) into (* 2 (pow x 2)) 2.002 * [backup-simplify]: Simplify (+ (* (pow x 2) (* 2 (pow x 2))) (* 1 (pow x 4))) into (* 3 (pow x 4)) 2.002 * [backup-simplify]: Simplify (/ (* 3 (pow x 4)) (* 2 (sqrt (pow x 6)))) into (* 3/2 x) 2.002 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 2.002 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 2.002 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of y in x 2.003 * [backup-simplify]: Simplify y into y 2.003 * [backup-simplify]: Simplify (+ 0 y) into y 2.003 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.003 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 2.003 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 2.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 2.004 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (pow x 2) y) 3)) in x 2.004 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 3) in x 2.004 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.004 * [taylor]: Taking taylor expansion of x in x 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of y in x 2.004 * [backup-simplify]: Simplify y into y 2.004 * [backup-simplify]: Simplify (+ 0 y) into y 2.004 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.004 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 2.004 * [backup-simplify]: Simplify (sqrt (pow y 3)) into (sqrt (pow y 3)) 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.005 * [backup-simplify]: Simplify (+ (* y 0) (* 0 (pow y 2))) into 0 2.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 3)))) into 0 2.005 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 2.005 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.006 * [taylor]: Taking taylor expansion of y in y 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify (sqrt 0) into 0 2.008 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.008 * [taylor]: Taking taylor expansion of 0 in y 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (+ 1 0) into 1 2.010 * [backup-simplify]: Simplify (+ (* y 1) (+ (* 0 0) (* 1 y))) into (* 2 y) 2.011 * [backup-simplify]: Simplify (+ (* y (* 2 y)) (+ (* 0 0) (* 1 (pow y 2)))) into (* 3 (pow y 2)) 2.012 * [backup-simplify]: Simplify (/ (- (* 3 (pow y 2)) (pow 0 2) (+)) (* 2 (sqrt (pow y 3)))) into (* 3/2 (sqrt y)) 2.012 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 2.012 * [taylor]: Taking taylor expansion of 3/2 in y 2.012 * [backup-simplify]: Simplify 3/2 into 3/2 2.012 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (sqrt 0) into 0 2.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.014 * [backup-simplify]: Simplify (* 3/2 0) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (+ (* 1 0) (* 0 y)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 (* 2 y)) (+ (* 1 0) (* 0 (pow y 2))))) into 0 2.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 3/2 (sqrt y)))))) (* 2 (sqrt (pow y 3)))) into 0 2.018 * [taylor]: Taking taylor expansion of 0 in y 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* 3/2 +nan.0) (* 0 0)) into (- +nan.0) 2.020 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.020 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.028 * [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))))))) 2.029 * [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)) 2.029 * [approximate]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 2.029 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 2.029 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in y 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.029 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.029 * [taylor]: Taking taylor expansion of x in y 2.029 * [backup-simplify]: Simplify x into x 2.029 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.029 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (+ 0 1) into 1 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (sqrt 0) into 0 2.033 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.033 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 2.033 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.034 * [taylor]: Taking taylor expansion of y in x 2.034 * [backup-simplify]: Simplify y into y 2.034 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (* 1 1) into 1 2.035 * [backup-simplify]: Simplify (sqrt 1) into 1 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.039 * [taylor]: Taking taylor expansion of (sqrt (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 2.039 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 3) in x 2.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (* 1 1) into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.040 * [taylor]: Taking taylor expansion of y in x 2.040 * [backup-simplify]: Simplify y into y 2.040 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.041 * [backup-simplify]: Simplify (+ 1 0) into 1 2.041 * [backup-simplify]: Simplify (* 1 1) into 1 2.041 * [backup-simplify]: Simplify (* 1 1) into 1 2.042 * [backup-simplify]: Simplify (sqrt 1) into 1 2.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.046 * [taylor]: Taking taylor expansion of 1 in y 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [taylor]: Taking taylor expansion of 0 in y 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.048 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (+ (* 0 0) (* (/ 1 y) 1))) into (* 2 (/ 1 y)) 2.049 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (+ (* 0 0) (* (/ 1 y) 1))) into (* 3 (/ 1 y)) 2.050 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ 3/2 y) 2.050 * [taylor]: Taking taylor expansion of (/ 3/2 y) in y 2.050 * [taylor]: Taking taylor expansion of 3/2 in y 2.050 * [backup-simplify]: Simplify 3/2 into 3/2 2.050 * [taylor]: Taking taylor expansion of y in y 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ 3/2 1) into 3/2 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2 (/ 1 y))) (+ (* (/ 1 y) 0) (* 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/2 y))))) (* 2 1)) into 0 2.057 * [taylor]: Taking taylor expansion of 0 in y 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 3/2 into 3/2 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 y) (/ 1 y)) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 2.064 * [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))) 2.065 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ 3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 2.065 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 2.065 * [taylor]: Taking taylor expansion of 3/8 in y 2.065 * [backup-simplify]: Simplify 3/8 into 3/8 2.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.065 * [taylor]: Taking taylor expansion of y in y 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.066 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 2.066 * [backup-simplify]: Simplify 3/8 into 3/8 2.067 * [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)))) 2.067 * [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)) 2.067 * [approximate]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in (x y) around 0 2.067 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in y 2.068 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in y 2.068 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.068 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.068 * [taylor]: Taking taylor expansion of x in y 2.068 * [backup-simplify]: Simplify x into x 2.068 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.068 * [taylor]: Taking taylor expansion of y in y 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [backup-simplify]: Simplify (- 1) into -1 2.069 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.070 * [backup-simplify]: Simplify (* -1 -1) into 1 2.070 * [backup-simplify]: Simplify (* -1 1) into -1 2.070 * [backup-simplify]: Simplify (sqrt 0) into 0 2.072 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.072 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 2.072 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 2.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.073 * [backup-simplify]: Simplify (* 1 1) into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.073 * [taylor]: Taking taylor expansion of y in x 2.073 * [backup-simplify]: Simplify y into y 2.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.074 * [backup-simplify]: Simplify (+ 1 0) into 1 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (sqrt 1) into 1 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.079 * [taylor]: Taking taylor expansion of (sqrt (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3)) in x 2.079 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 3) in x 2.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.080 * [backup-simplify]: Simplify (* 1 1) into 1 2.080 * [backup-simplify]: Simplify (/ 1 1) into 1 2.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.080 * [taylor]: Taking taylor expansion of y in x 2.080 * [backup-simplify]: Simplify y into y 2.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.081 * [backup-simplify]: Simplify (+ 1 0) into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.082 * [backup-simplify]: Simplify (sqrt 1) into 1 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.086 * [taylor]: Taking taylor expansion of 1 in y 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of 0 in y 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.088 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.089 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 y))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 2 (/ 1 y))) 2.089 * [backup-simplify]: Simplify (+ (* 1 (- (* 2 (/ 1 y)))) (+ (* 0 0) (* (- (/ 1 y)) 1))) into (- (* 3 (/ 1 y))) 2.090 * [backup-simplify]: Simplify (/ (- (- (* 3 (/ 1 y))) (pow 0 2) (+)) (* 2 1)) into (/ -3/2 y) 2.090 * [taylor]: Taking taylor expansion of (/ -3/2 y) in y 2.091 * [taylor]: Taking taylor expansion of -3/2 in y 2.091 * [backup-simplify]: Simplify -3/2 into -3/2 2.091 * [taylor]: Taking taylor expansion of y in y 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (/ -3/2 1) into -3/2 2.091 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.094 * [backup-simplify]: Simplify (- 0) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (/ 1 y))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 2 (/ 1 y)))) (+ (* (- (/ 1 y)) 0) (* 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3/2 y))))) (* 2 1)) into 0 2.097 * [taylor]: Taking taylor expansion of 0 in y 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify -3/2 into -3/2 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.100 * [backup-simplify]: Simplify (- 0) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (/ 1 y)) (- (/ 1 y))) (+ (* 0 0) (* 0 1))))) into (/ 1 (pow y 2)) 2.102 * [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))) 2.103 * [backup-simplify]: Simplify (/ (- (* 3 (/ 1 (pow y 2))) (pow (/ -3/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y 2)) 2.103 * [taylor]: Taking taylor expansion of (/ 3/8 (pow y 2)) in y 2.103 * [taylor]: Taking taylor expansion of 3/8 in y 2.103 * [backup-simplify]: Simplify 3/8 into 3/8 2.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.103 * [taylor]: Taking taylor expansion of y in y 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (/ 3/8 1) into 3/8 2.103 * [backup-simplify]: Simplify 3/8 into 3/8 2.104 * [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))))) 2.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.104 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 2.104 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 2.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.104 * [taylor]: Taking taylor expansion of x in y 2.104 * [backup-simplify]: Simplify x into x 2.104 * [taylor]: Taking taylor expansion of y in y 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of y in x 2.104 * [backup-simplify]: Simplify y into y 2.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of y in x 2.104 * [backup-simplify]: Simplify y into y 2.104 * [backup-simplify]: Simplify (+ 0 y) into y 2.104 * [taylor]: Taking taylor expansion of y in y 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in y 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [taylor]: Taking taylor expansion of 1 in y 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [taylor]: Taking taylor expansion of 0 in y 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 2.106 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 2.106 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.107 * [taylor]: Taking taylor expansion of x in y 2.107 * [backup-simplify]: Simplify x into x 2.107 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.107 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.108 * [taylor]: Taking taylor expansion of y in x 2.108 * [backup-simplify]: Simplify y into y 2.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.108 * [taylor]: Taking taylor expansion of y in x 2.108 * [backup-simplify]: Simplify y into y 2.108 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.109 * [backup-simplify]: Simplify (+ 1 0) into 1 2.109 * [taylor]: Taking taylor expansion of 1 in y 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.110 * [taylor]: Taking taylor expansion of 0 in y 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.111 * [taylor]: Taking taylor expansion of y in y 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [taylor]: Taking taylor expansion of 0 in y 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 0) into 0 2.115 * [taylor]: Taking taylor expansion of 0 in y 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 2.116 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 2.116 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.116 * [taylor]: Taking taylor expansion of x in y 2.116 * [backup-simplify]: Simplify x into x 2.116 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.116 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.116 * [taylor]: Taking taylor expansion of y in y 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* 1 1) into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.117 * [taylor]: Taking taylor expansion of y in x 2.117 * [backup-simplify]: Simplify y into y 2.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* 1 1) into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.118 * [taylor]: Taking taylor expansion of y in x 2.118 * [backup-simplify]: Simplify y into y 2.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.118 * [taylor]: Taking taylor expansion of 1 in y 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in y 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.120 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.120 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.121 * [taylor]: Taking taylor expansion of y in y 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [backup-simplify]: Simplify (- 1) into -1 2.121 * [backup-simplify]: Simplify -1 into -1 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.123 * [backup-simplify]: Simplify (- 0) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.123 * [taylor]: Taking taylor expansion of 0 in y 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- 0) into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [taylor]: Taking taylor expansion of 0 in y 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 2.127 * * * [progress]: simplifying candidates 2.128 * [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 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(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) 2.130 * * [simplify]: iteration 0: 133 enodes 2.187 * * [simplify]: iteration 1: 369 enodes 2.367 * * [simplify]: iteration 2: 1118 enodes 3.536 * * [simplify]: iteration 3: 4885 enodes 5.140 * * [simplify]: iteration complete: 5014 enodes 5.140 * * [simplify]: Extracting #0: cost 71 inf + 0 5.141 * * [simplify]: Extracting #1: cost 427 inf + 3 5.147 * * [simplify]: Extracting #2: cost 1384 inf + 3049 5.174 * * [simplify]: Extracting #3: cost 1082 inf + 90068 5.226 * * [simplify]: Extracting #4: cost 306 inf + 272798 5.291 * * [simplify]: Extracting #5: cost 10 inf + 340047 5.366 * * [simplify]: Extracting #6: cost 0 inf + 340704 5.463 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (* (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)))) (cbrt (* (sqrt (+ (* (- y (* x x)) y) (* (* x x) (* x x)))) (+ (* (- y (* x x)) y) (* (* x x) (* x x))))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))))) (cbrt (* (- (* x x) y) (sqrt (+ (* (- y (* x x)) y) (* (* x x) (* x x)))))) (cbrt (+ (* (* (* y y) y) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (* (* x x) (* x x)) (* (* x x) (sqrt (- (* (* x x) (* x x)) (* y y))))))) (cbrt (* (+ (* (- y (* x x)) y) (* (* x x) (* x x))) (sqrt (- (* x x) y)))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (- (* (* x x) (* x x)) (* y y))))) (cbrt (* (- (* x x) y) (sqrt (- (* x x) y)))) (cbrt (* (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)) (sqrt (+ (* x x) y)))) (cbrt (+ (* (- y (* x x)) y) (* (* x x) (* x x)))) (cbrt (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* x x) y)))) (cbrt (- (* x x) y)) (cbrt (* (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))) (+ y (* x x)))) (cbrt (sqrt (+ (* (- y (* x x)) y) (* (* x x) (* x x))))) (cbrt (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ y (* x x)))) (cbrt (sqrt (- (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (+ (* x x) y) (sqrt (+ (* 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 (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))) (sqrt (+ (* (- y (* x x)) y) (* (* x x) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 3/2 3/2 (* (+ (* x x) y) (sqrt (+ (* x x) y))) 3/2 3/2 (log (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (log (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (exp (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (* (* (+ (* x x) y) (+ (* x x) y)) (* (+ (* x x) y) (+ (* x x) y))) (sqrt (+ (* x x) y))) (+ (* x x) y) (sqrt (+ (* x x) y)) (* (* (* (+ (* x x) y) (+ (* x x) y)) (* (+ (* x x) y) (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (sqrt (* (+ (* x x) y) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))) (* (sqrt (+ (* (- y (* x x)) y) (* (* x x) (* x x)))) (+ (* (- y (* x x)) y) (* (* x x) (* x x)))) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)))) (* (- (* x x) y) (sqrt (+ (* (- y (* x x)) y) (* (* x x) (* x x))))) (+ (* (* (* y y) y) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (* (* x x) (* x x)) (* (* x x) (sqrt (- (* (* x x) (* x x)) (* y y)))))) (* (+ (* (- y (* x x)) y) (* (* x x) (* x x))) (sqrt (- (* x x) y))) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (- (* x x) y) (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 (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (* x x)) (* y (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (* x x)) (* y (sqrt (+ (* x x) y))) (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (+ (* x x) y) (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (+ (* x x) y) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (+ (* x x) y)) (* (+ (* x x) y) (sqrt (+ (* x x) y))) (* (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)) (sqrt (+ (* x x) y))) (* (- (* (* x x) (* x x)) (* y y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y))) (+ y (* x x))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (+ y (* x x))) (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)) (+ (* (* (* x x) x) (* (* x x) x)) (* (* y y) y)) (+ (* (- y (* x x)) y) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* +nan.0 (- (* y y))) (* +nan.0 (- (* x x) y))) (+ x (/ (* y 1/2) x)) (- (* -1/2 (/ y x)) x) (+ (* +nan.0 (- (* y y))) (* +nan.0 (- (* x x) y))) (+ x (/ (* y 1/2) x)) (- (* -1/2 (/ y x)) x) (+ (* (* +nan.0 y) (- (* y y) (* x x))) (* +nan.0 (- (* y y)))) (+ (* x (+ (* x x) (* 3/2 y))) (* 3/8 (/ (* y y) x))) (- (+ (* x (+ (* x x) (* 3/2 y))) (* 3/8 (/ (* y y) x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 5.469 * * * [progress]: adding candidates to table 5.852 * * [progress]: iteration 3 / 4 5.852 * * * [progress]: picking best candidate 5.858 * * * * [pick]: Picked # 5.858 * * * [progress]: localizing error 5.865 * * * [progress]: generating rewritten candidates 5.865 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.870 * * * [progress]: generating series expansions 5.870 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.870 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 5.870 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 5.870 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 5.870 * [taylor]: Taking taylor expansion of x in y 5.870 * [backup-simplify]: Simplify x into x 5.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.870 * [taylor]: Taking taylor expansion of 1/2 in y 5.870 * [backup-simplify]: Simplify 1/2 into 1/2 5.870 * [taylor]: Taking taylor expansion of (/ y x) in y 5.870 * [taylor]: Taking taylor expansion of y in y 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of x in y 5.870 * [backup-simplify]: Simplify x into x 5.870 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.870 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.870 * [taylor]: Taking taylor expansion of 1/2 in x 5.870 * [backup-simplify]: Simplify 1/2 into 1/2 5.870 * [taylor]: Taking taylor expansion of (/ y x) in x 5.870 * [taylor]: Taking taylor expansion of y in x 5.870 * [backup-simplify]: Simplify y into y 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (/ y 1) into y 5.870 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 5.870 * [taylor]: Taking taylor expansion of x in x 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.870 * [taylor]: Taking taylor expansion of 1/2 in x 5.870 * [backup-simplify]: Simplify 1/2 into 1/2 5.870 * [taylor]: Taking taylor expansion of (/ y x) in x 5.871 * [taylor]: Taking taylor expansion of y in x 5.871 * [backup-simplify]: Simplify y into y 5.871 * [taylor]: Taking taylor expansion of x in x 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (/ y 1) into y 5.871 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 5.871 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 5.871 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 5.871 * [taylor]: Taking taylor expansion of 1/2 in y 5.871 * [backup-simplify]: Simplify 1/2 into 1/2 5.871 * [taylor]: Taking taylor expansion of y in y 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.871 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 5.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 5.872 * [backup-simplify]: Simplify (+ 0 0) into 0 5.872 * [taylor]: Taking taylor expansion of 0 in y 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.873 * [backup-simplify]: Simplify 1/2 into 1/2 5.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 5.875 * [backup-simplify]: Simplify (+ 1 0) into 1 5.875 * [taylor]: Taking taylor expansion of 1 in y 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.875 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.878 * [backup-simplify]: Simplify (+ 0 0) into 0 5.878 * [taylor]: Taking taylor expansion of 0 in y 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 5.879 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 5.879 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 5.879 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 5.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.879 * [taylor]: Taking taylor expansion of 1/2 in y 5.879 * [backup-simplify]: Simplify 1/2 into 1/2 5.879 * [taylor]: Taking taylor expansion of (/ x y) in y 5.879 * [taylor]: Taking taylor expansion of x in y 5.879 * [backup-simplify]: Simplify x into x 5.879 * [taylor]: Taking taylor expansion of y in y 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.879 * [backup-simplify]: Simplify (/ x 1) into x 5.879 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.879 * [taylor]: Taking taylor expansion of x in y 5.879 * [backup-simplify]: Simplify x into x 5.879 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.879 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 5.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.879 * [taylor]: Taking taylor expansion of 1/2 in x 5.879 * [backup-simplify]: Simplify 1/2 into 1/2 5.879 * [taylor]: Taking taylor expansion of (/ x y) in x 5.879 * [taylor]: Taking taylor expansion of x in x 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.879 * [taylor]: Taking taylor expansion of y in x 5.879 * [backup-simplify]: Simplify y into y 5.879 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.879 * [taylor]: Taking taylor expansion of x in x 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (/ 1 1) into 1 5.880 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 5.880 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.880 * [taylor]: Taking taylor expansion of 1/2 in x 5.880 * [backup-simplify]: Simplify 1/2 into 1/2 5.880 * [taylor]: Taking taylor expansion of (/ x y) in x 5.880 * [taylor]: Taking taylor expansion of x in x 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of y in x 5.880 * [backup-simplify]: Simplify y into y 5.880 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.880 * [taylor]: Taking taylor expansion of x in x 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (/ 1 1) into 1 5.880 * [backup-simplify]: Simplify (+ 0 1) into 1 5.880 * [taylor]: Taking taylor expansion of 1 in y 5.880 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (+ 0 0) into 0 5.881 * [taylor]: Taking taylor expansion of 0 in y 5.881 * [backup-simplify]: Simplify 0 into 0 5.881 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 5.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.882 * [taylor]: Taking taylor expansion of 1/2 in y 5.882 * [backup-simplify]: Simplify 1/2 into 1/2 5.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.882 * [taylor]: Taking taylor expansion of y in y 5.882 * [backup-simplify]: Simplify 0 into 0 5.882 * [backup-simplify]: Simplify 1 into 1 5.882 * [backup-simplify]: Simplify (/ 1 1) into 1 5.883 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify (+ 0 0) into 0 5.884 * [taylor]: Taking taylor expansion of 0 in y 5.884 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.887 * [taylor]: Taking taylor expansion of 0 in y 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 5.887 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 5.887 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 5.887 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 5.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.887 * [taylor]: Taking taylor expansion of 1/2 in y 5.887 * [backup-simplify]: Simplify 1/2 into 1/2 5.887 * [taylor]: Taking taylor expansion of (/ x y) in y 5.887 * [taylor]: Taking taylor expansion of x in y 5.887 * [backup-simplify]: Simplify x into x 5.887 * [taylor]: Taking taylor expansion of y in y 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (/ x 1) into x 5.888 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.888 * [taylor]: Taking taylor expansion of x in y 5.888 * [backup-simplify]: Simplify x into x 5.888 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.888 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 5.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.888 * [taylor]: Taking taylor expansion of 1/2 in x 5.888 * [backup-simplify]: Simplify 1/2 into 1/2 5.888 * [taylor]: Taking taylor expansion of (/ x y) in x 5.888 * [taylor]: Taking taylor expansion of x in x 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [taylor]: Taking taylor expansion of y in x 5.888 * [backup-simplify]: Simplify y into y 5.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.888 * [taylor]: Taking taylor expansion of x in x 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (/ 1 1) into 1 5.888 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 5.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.888 * [taylor]: Taking taylor expansion of 1/2 in x 5.889 * [backup-simplify]: Simplify 1/2 into 1/2 5.889 * [taylor]: Taking taylor expansion of (/ x y) in x 5.889 * [taylor]: Taking taylor expansion of x in x 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.889 * [taylor]: Taking taylor expansion of y in x 5.889 * [backup-simplify]: Simplify y into y 5.889 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.889 * [taylor]: Taking taylor expansion of x in x 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.889 * [backup-simplify]: Simplify (/ 1 1) into 1 5.890 * [backup-simplify]: Simplify (- 1) into -1 5.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.890 * [taylor]: Taking taylor expansion of -1 in y 5.890 * [backup-simplify]: Simplify -1 into -1 5.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.891 * [backup-simplify]: Simplify (- 0) into 0 5.891 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [taylor]: Taking taylor expansion of 0 in y 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify -1 into -1 5.892 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 5.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.893 * [backup-simplify]: Simplify (- 0) into 0 5.893 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 5.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 5.893 * [taylor]: Taking taylor expansion of 1/2 in y 5.893 * [backup-simplify]: Simplify 1/2 into 1/2 5.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.893 * [taylor]: Taking taylor expansion of y in y 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 1 into 1 5.893 * [backup-simplify]: Simplify (/ 1 1) into 1 5.893 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.893 * [backup-simplify]: Simplify 1/2 into 1/2 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.895 * [backup-simplify]: Simplify (- 0) into 0 5.895 * [backup-simplify]: Simplify (+ 0 0) into 0 5.895 * [taylor]: Taking taylor expansion of 0 in y 5.895 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.898 * [backup-simplify]: Simplify (- 0) into 0 5.898 * [backup-simplify]: Simplify (+ 0 0) into 0 5.898 * [taylor]: Taking taylor expansion of 0 in y 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 5.898 * * * [progress]: simplifying candidates 5.898 * [simplify]: Simplifying: (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 5.899 * * [simplify]: iteration 0: 27 enodes 5.907 * * [simplify]: iteration 1: 86 enodes 5.935 * * [simplify]: iteration 2: 286 enodes 6.068 * * [simplify]: iteration 3: 938 enodes 6.922 * * [simplify]: iteration 4: 2829 enodes 7.809 * * [simplify]: iteration complete: 5000 enodes 7.809 * * [simplify]: Extracting #0: cost 11 inf + 0 7.810 * * [simplify]: Extracting #1: cost 63 inf + 0 7.812 * * [simplify]: Extracting #2: cost 585 inf + 73 7.826 * * [simplify]: Extracting #3: cost 1063 inf + 27512 7.886 * * [simplify]: Extracting #4: cost 579 inf + 149821 7.958 * * [simplify]: Extracting #5: cost 189 inf + 241888 8.026 * * [simplify]: Extracting #6: cost 68 inf + 297835 8.107 * * [simplify]: Extracting #7: cost 12 inf + 314443 8.196 * * [simplify]: Extracting #8: cost 0 inf + 317725 8.259 * [simplify]: Simplified to: (exp (+ (* (/ y x) 1/2) x)) (log (+ (* (/ y x) 1/2) x)) (exp (+ (* (/ y x) 1/2) x)) (* (cbrt (+ (* (/ y x) 1/2) x)) (cbrt (+ (* (/ y x) 1/2) x))) (cbrt (+ (* (/ y x) 1/2) x)) (* (* (+ (* (/ y x) 1/2) x) (+ (* (/ y x) 1/2) x)) (+ (* (/ y x) 1/2) x)) (sqrt (+ (* (/ y x) 1/2) x)) (sqrt (+ (* (/ y x) 1/2) x)) (+ (* x (* x x)) (/ (/ (/ 1/8 (/ x y)) (/ x y)) (/ x y))) (+ (* x x) (* (- (* (/ y x) 1/2) x) (* (/ y x) 1/2))) (- (* x x) (* (* (/ y x) 1/2) (* (/ y x) 1/2))) (+ x (* -1/2 (/ y x))) (+ (* (/ y x) 1/2) x) (+ (* (/ y x) 1/2) x) (+ (* (/ y x) 1/2) x) 8.260 * * * [progress]: adding candidates to table 8.319 * * [progress]: iteration 4 / 4 8.319 * * * [progress]: picking best candidate 8.322 * * * * [pick]: Picked # 8.322 * * * [progress]: localizing error 8.331 * * * [progress]: generating rewritten candidates 8.331 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 8.339 * * * [progress]: generating series expansions 8.339 * * * * [progress]: [ 1 / 1 ] generating series at (2) 8.339 * [backup-simplify]: Simplify (- (* -1/2 (/ y x)) x) into (- (+ x (* 1/2 (/ y x)))) 8.339 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 8.339 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 8.339 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 8.339 * [taylor]: Taking taylor expansion of x in x 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 8.339 * [taylor]: Taking taylor expansion of 1/2 in x 8.339 * [backup-simplify]: Simplify 1/2 into 1/2 8.339 * [taylor]: Taking taylor expansion of (/ y x) in x 8.339 * [taylor]: Taking taylor expansion of y in x 8.339 * [backup-simplify]: Simplify y into y 8.339 * [taylor]: Taking taylor expansion of x in x 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ y 1) into y 8.339 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 8.340 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 8.340 * [taylor]: Taking taylor expansion of x in y 8.340 * [backup-simplify]: Simplify x into x 8.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.340 * [taylor]: Taking taylor expansion of 1/2 in y 8.340 * [backup-simplify]: Simplify 1/2 into 1/2 8.340 * [taylor]: Taking taylor expansion of (/ y x) in y 8.340 * [taylor]: Taking taylor expansion of y in y 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [taylor]: Taking taylor expansion of x in y 8.340 * [backup-simplify]: Simplify x into x 8.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.340 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 8.340 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 8.340 * [taylor]: Taking taylor expansion of x in y 8.340 * [backup-simplify]: Simplify x into x 8.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.340 * [taylor]: Taking taylor expansion of 1/2 in y 8.340 * [backup-simplify]: Simplify 1/2 into 1/2 8.340 * [taylor]: Taking taylor expansion of (/ y x) in y 8.340 * [taylor]: Taking taylor expansion of y in y 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [taylor]: Taking taylor expansion of x in y 8.340 * [backup-simplify]: Simplify x into x 8.340 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.340 * [backup-simplify]: Simplify (+ x 0) into x 8.340 * [backup-simplify]: Simplify (- x) into (- x) 8.340 * [taylor]: Taking taylor expansion of (- x) in x 8.340 * [taylor]: Taking taylor expansion of x in x 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 8.340 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 8.340 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 8.340 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 8.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 8.340 * [taylor]: Taking taylor expansion of 1/2 in x 8.340 * [backup-simplify]: Simplify 1/2 into 1/2 8.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.340 * [taylor]: Taking taylor expansion of x in x 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.341 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.341 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.341 * [backup-simplify]: Simplify -1/2 into -1/2 8.342 * [backup-simplify]: Simplify (- 0) into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 8.342 * [backup-simplify]: Simplify (+ 0 0) into 0 8.343 * [backup-simplify]: Simplify (- 0) into 0 8.343 * [taylor]: Taking taylor expansion of 0 in x 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.344 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify (- 1) into -1 8.344 * [backup-simplify]: Simplify -1 into -1 8.344 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.345 * [backup-simplify]: Simplify (+ 0 0) into 0 8.345 * [backup-simplify]: Simplify (- 0) into 0 8.345 * [taylor]: Taking taylor expansion of 0 in x 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.347 * [backup-simplify]: Simplify (- 0) into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify (- 0) into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.348 * [backup-simplify]: Simplify (+ 0 0) into 0 8.348 * [backup-simplify]: Simplify (- 0) into 0 8.348 * [taylor]: Taking taylor expansion of 0 in x 8.348 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 8.350 * [backup-simplify]: Simplify (- (* -1/2 (/ (/ 1 y) (/ 1 x))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 8.350 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 8.350 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 8.350 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 8.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.350 * [taylor]: Taking taylor expansion of 1/2 in x 8.350 * [backup-simplify]: Simplify 1/2 into 1/2 8.350 * [taylor]: Taking taylor expansion of (/ x y) in x 8.350 * [taylor]: Taking taylor expansion of x in x 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [taylor]: Taking taylor expansion of y in x 8.351 * [backup-simplify]: Simplify y into y 8.351 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.351 * [taylor]: Taking taylor expansion of x in x 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ 1 1) into 1 8.351 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 8.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 8.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.351 * [taylor]: Taking taylor expansion of 1/2 in y 8.351 * [backup-simplify]: Simplify 1/2 into 1/2 8.351 * [taylor]: Taking taylor expansion of (/ x y) in y 8.351 * [taylor]: Taking taylor expansion of x in y 8.351 * [backup-simplify]: Simplify x into x 8.351 * [taylor]: Taking taylor expansion of y in y 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ x 1) into x 8.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.351 * [taylor]: Taking taylor expansion of x in y 8.351 * [backup-simplify]: Simplify x into x 8.351 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.351 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 8.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 8.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.351 * [taylor]: Taking taylor expansion of 1/2 in y 8.351 * [backup-simplify]: Simplify 1/2 into 1/2 8.351 * [taylor]: Taking taylor expansion of (/ x y) in y 8.351 * [taylor]: Taking taylor expansion of x in y 8.351 * [backup-simplify]: Simplify x into x 8.351 * [taylor]: Taking taylor expansion of y in y 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.351 * [backup-simplify]: Simplify (/ x 1) into x 8.351 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.351 * [taylor]: Taking taylor expansion of x in y 8.351 * [backup-simplify]: Simplify x into x 8.351 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.352 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 8.352 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 8.352 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 8.352 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 8.352 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.352 * [taylor]: Taking taylor expansion of 1/2 in x 8.352 * [backup-simplify]: Simplify 1/2 into 1/2 8.352 * [taylor]: Taking taylor expansion of x in x 8.352 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify 1 into 1 8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 8.353 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.353 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 8.353 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.353 * [taylor]: Taking taylor expansion of x in x 8.353 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify (/ 1 1) into 1 8.353 * [backup-simplify]: Simplify (- 1) into -1 8.353 * [backup-simplify]: Simplify -1 into -1 8.354 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.354 * [backup-simplify]: Simplify (- 0) into 0 8.354 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.356 * [backup-simplify]: Simplify (+ 0 0) into 0 8.356 * [backup-simplify]: Simplify (- 0) into 0 8.356 * [taylor]: Taking taylor expansion of 0 in x 8.356 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.357 * [backup-simplify]: Simplify (- 0) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.357 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.357 * [backup-simplify]: Simplify -1/2 into -1/2 8.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.360 * [backup-simplify]: Simplify (+ 0 0) into 0 8.360 * [backup-simplify]: Simplify (- 0) into 0 8.360 * [taylor]: Taking taylor expansion of 0 in x 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (- 0) into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.361 * [backup-simplify]: Simplify (- 0) into 0 8.362 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.364 * [backup-simplify]: Simplify (+ 0 0) into 0 8.365 * [backup-simplify]: Simplify (- 0) into 0 8.365 * [taylor]: Taking taylor expansion of 0 in x 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.365 * [backup-simplify]: Simplify (- 0) into 0 8.365 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 8.366 * [backup-simplify]: Simplify (- (* -1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 8.366 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 8.366 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 8.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.366 * [taylor]: Taking taylor expansion of x in x 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.366 * [taylor]: Taking taylor expansion of 1/2 in x 8.366 * [backup-simplify]: Simplify 1/2 into 1/2 8.366 * [taylor]: Taking taylor expansion of (/ x y) in x 8.366 * [taylor]: Taking taylor expansion of x in x 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [taylor]: Taking taylor expansion of y in x 8.366 * [backup-simplify]: Simplify y into y 8.366 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.366 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 8.366 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.366 * [taylor]: Taking taylor expansion of x in y 8.366 * [backup-simplify]: Simplify x into x 8.366 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.366 * [taylor]: Taking taylor expansion of 1/2 in y 8.366 * [backup-simplify]: Simplify 1/2 into 1/2 8.366 * [taylor]: Taking taylor expansion of (/ x y) in y 8.366 * [taylor]: Taking taylor expansion of x in y 8.367 * [backup-simplify]: Simplify x into x 8.367 * [taylor]: Taking taylor expansion of y in y 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (/ x 1) into x 8.367 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 8.367 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.367 * [taylor]: Taking taylor expansion of x in y 8.367 * [backup-simplify]: Simplify x into x 8.367 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.367 * [taylor]: Taking taylor expansion of 1/2 in y 8.367 * [backup-simplify]: Simplify 1/2 into 1/2 8.367 * [taylor]: Taking taylor expansion of (/ x y) in y 8.367 * [taylor]: Taking taylor expansion of x in y 8.367 * [backup-simplify]: Simplify x into x 8.367 * [taylor]: Taking taylor expansion of y in y 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (/ x 1) into x 8.367 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 8.367 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 8.367 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 8.367 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 8.367 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.367 * [taylor]: Taking taylor expansion of 1/2 in x 8.367 * [backup-simplify]: Simplify 1/2 into 1/2 8.367 * [taylor]: Taking taylor expansion of x in x 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 8.368 * [backup-simplify]: Simplify (- 0) into 0 8.368 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 8.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.368 * [taylor]: Taking taylor expansion of x in x 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 1 into 1 8.369 * [backup-simplify]: Simplify (/ 1 1) into 1 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.369 * [backup-simplify]: Simplify (- 0) into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.371 * [backup-simplify]: Simplify (- 0) into 0 8.371 * [backup-simplify]: Simplify (+ 0 0) into 0 8.371 * [taylor]: Taking taylor expansion of 0 in x 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.372 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.372 * [backup-simplify]: Simplify -1/2 into -1/2 8.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.375 * [backup-simplify]: Simplify (- 0) into 0 8.375 * [backup-simplify]: Simplify (+ 0 0) into 0 8.375 * [taylor]: Taking taylor expansion of 0 in x 8.375 * [backup-simplify]: Simplify 0 into 0 8.375 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.379 * [backup-simplify]: Simplify (- 0) into 0 8.379 * [backup-simplify]: Simplify (+ 0 0) into 0 8.379 * [taylor]: Taking taylor expansion of 0 in x 8.379 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 8.380 * * * [progress]: simplifying candidates 8.381 * [simplify]: Simplifying: (/ (exp (* -1/2 (/ y x))) (exp x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x))) (- x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (- x) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 8.381 * * [simplify]: iteration 0: 32 enodes 8.388 * * [simplify]: iteration 1: 82 enodes 8.409 * * [simplify]: iteration 2: 220 enodes 8.495 * * [simplify]: iteration 3: 943 enodes 9.561 * * [simplify]: iteration 4: 3380 enodes 10.655 * * [simplify]: iteration complete: 5005 enodes 10.655 * * [simplify]: Extracting #0: cost 12 inf + 0 10.655 * * [simplify]: Extracting #1: cost 81 inf + 0 10.657 * * [simplify]: Extracting #2: cost 570 inf + 156 10.672 * * [simplify]: Extracting #3: cost 1132 inf + 10279 10.699 * * [simplify]: Extracting #4: cost 568 inf + 110169 10.763 * * [simplify]: Extracting #5: cost 250 inf + 209007 10.843 * * [simplify]: Extracting #6: cost 56 inf + 292047 10.932 * * [simplify]: Extracting #7: cost 8 inf + 305776 11.025 * * [simplify]: Extracting #8: cost 0 inf + 308005 11.100 * [simplify]: Simplified to: (exp (- (/ y (/ x -1/2)) x)) (log (- (/ y (/ x -1/2)) x)) (exp (- (/ y (/ x -1/2)) x)) (* (cbrt (- (/ y (/ x -1/2)) x)) (cbrt (- (/ y (/ x -1/2)) x))) (cbrt (- (/ y (/ x -1/2)) x)) (* (+ (/ 1/2 (/ x y)) x) (- (* (+ (/ 1/2 (/ x y)) x) (+ (/ 1/2 (/ x y)) x)))) (sqrt (- (/ y (/ x -1/2)) x)) (sqrt (- (/ y (/ x -1/2)) x)) (- (* (/ y x) (* (* (/ y x) (/ y x)) -1/8)) (* x (* x x))) (+ (* -1/2 (+ (* (* (/ y x) (/ y x)) -1/2) y)) (* x x)) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (- x (/ 1/2 (/ x y))) (- x) (- (/ y (/ x -1/2)) x) (- (/ y (/ x -1/2)) x) (- (/ y (/ x -1/2)) x) 11.101 * * * [progress]: adding candidates to table 11.158 * [progress]: [Phase 3 of 3] Extracting. 11.158 * * [regime]: Finding splitpoints for: (# # # #) 11.159 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 11.159 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 11.232 * * * * [regimes]: Trying to branch on (* x x) from (# #) 11.264 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 11.324 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 11.373 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 11.432 * * * * [regimes]: Trying to branch on y from (# # # #) 11.499 * * * * [regimes]: Trying to branch on x from (# # # #) 11.565 * * * [regime]: Found split indices: #