17.669 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.035 * * [simplify]: iteration 0: 5 enodes 0.037 * * [simplify]: iteration 1: 6 enodes 0.038 * * [simplify]: iteration complete: 6 enodes 0.038 * * [simplify]: Extracting #0: cost 1 inf + 0 0.039 * * [simplify]: Extracting #1: cost 2 inf + 0 0.039 * * [simplify]: Extracting #2: cost 4 inf + 0 0.039 * * [simplify]: Extracting #3: cost 4 inf + 1 0.039 * * [simplify]: Extracting #4: cost 3 inf + 2 0.039 * * [simplify]: Extracting #5: cost 0 inf + 247 0.039 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.072 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.072 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.073 * [backup-simplify]: Simplify x into x 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.073 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.073 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.073 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.073 * [backup-simplify]: Simplify (+ 0 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (+ 0 y) into y 0.074 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [backup-simplify]: Simplify y into y 0.074 * [backup-simplify]: Simplify (+ 0 y) into y 0.074 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.078 * [taylor]: Taking taylor expansion of 1/2 in y 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (sqrt 0) into 0 0.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.080 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.080 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.080 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.083 * [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)))))) 0.083 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.083 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (sqrt 0) into 0 0.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [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 0.088 * [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) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (sqrt 1) into 1 0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.093 * [backup-simplify]: Simplify 1/2 into 1/2 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 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 0) (* 0 1))))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.098 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.098 * [taylor]: Taking taylor expansion of -1/8 in y 0.098 * [backup-simplify]: Simplify -1/8 into -1/8 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.098 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.100 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.100 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [backup-simplify]: Simplify x into x 0.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (- 1) into -1 0.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.102 * [backup-simplify]: Simplify (sqrt 0) into 0 0.104 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.104 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (sqrt 1) into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 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 0.109 * [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) 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of 1 in y 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.115 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.116 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.117 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.117 * [taylor]: Taking taylor expansion of -1/2 in y 0.117 * [backup-simplify]: Simplify -1/2 into -1/2 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.117 * [backup-simplify]: Simplify -1/2 into -1/2 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (- 0) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.127 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of -1/8 in y 0.127 * [backup-simplify]: Simplify -1/8 into -1/8 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.130 * * * [progress]: simplifying candidates 0.131 * [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))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.131 * * [simplify]: iteration 0: 51 enodes 0.161 * * [simplify]: iteration 1: 114 enodes 0.215 * * [simplify]: iteration 2: 276 enodes 0.363 * * [simplify]: iteration 3: 739 enodes 0.875 * * [simplify]: iteration 4: 2254 enodes 2.339 * * [simplify]: iteration complete: 5001 enodes 2.339 * * [simplify]: Extracting #0: cost 18 inf + 0 2.340 * * [simplify]: Extracting #1: cost 133 inf + 2 2.341 * * [simplify]: Extracting #2: cost 607 inf + 171 2.347 * * [simplify]: Extracting #3: cost 1156 inf + 20312 2.389 * * [simplify]: Extracting #4: cost 466 inf + 106451 2.433 * * [simplify]: Extracting #5: cost 73 inf + 155669 2.473 * * [simplify]: Extracting #6: cost 85 inf + 162058 2.519 * * [simplify]: Extracting #7: cost 99 inf + 167393 2.587 * * [simplify]: Extracting #8: cost 19 inf + 178821 2.654 * * [simplify]: Extracting #9: cost 0 inf + 183988 2.720 * [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 y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (- (- (* x x) y) (* y y))) (+ x (/ 1/2 (/ x y))) (- (/ -1/2 (/ x y)) x) 2.722 * * * [progress]: adding candidates to table 2.805 * * [progress]: iteration 2 / 4 2.805 * * * [progress]: picking best candidate 2.825 * * * * [pick]: Picked # 2.825 * * * [progress]: localizing error 2.840 * * * [progress]: generating rewritten candidates 2.840 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.860 * * * [progress]: generating series expansions 2.860 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.861 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 2.861 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 2.861 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 2.861 * [taylor]: Taking taylor expansion of -1/2 in y 2.861 * [backup-simplify]: Simplify -1/2 into -1/2 2.861 * [taylor]: Taking taylor expansion of (/ y x) in y 2.861 * [taylor]: Taking taylor expansion of y in y 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [taylor]: Taking taylor expansion of x in y 2.861 * [backup-simplify]: Simplify x into x 2.861 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.861 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 2.861 * [taylor]: Taking taylor expansion of -1/2 in x 2.861 * [backup-simplify]: Simplify -1/2 into -1/2 2.861 * [taylor]: Taking taylor expansion of (/ y x) in x 2.861 * [taylor]: Taking taylor expansion of y in x 2.861 * [backup-simplify]: Simplify y into y 2.861 * [taylor]: Taking taylor expansion of x in x 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (/ y 1) into y 2.861 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 2.862 * [taylor]: Taking taylor expansion of -1/2 in x 2.862 * [backup-simplify]: Simplify -1/2 into -1/2 2.862 * [taylor]: Taking taylor expansion of (/ y x) in x 2.862 * [taylor]: Taking taylor expansion of y in x 2.862 * [backup-simplify]: Simplify y into y 2.862 * [taylor]: Taking taylor expansion of x in x 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (/ y 1) into y 2.862 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 2.862 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 2.862 * [taylor]: Taking taylor expansion of -1/2 in y 2.862 * [backup-simplify]: Simplify -1/2 into -1/2 2.862 * [taylor]: Taking taylor expansion of y in y 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.863 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 2.863 * [backup-simplify]: Simplify -1/2 into -1/2 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 2.865 * [taylor]: Taking taylor expansion of 0 in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.866 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.868 * [taylor]: Taking taylor expansion of 0 in y 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.873 * [taylor]: Taking taylor expansion of 0 in y 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 2.873 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 2.873 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 2.873 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 2.873 * [taylor]: Taking taylor expansion of -1/2 in y 2.873 * [backup-simplify]: Simplify -1/2 into -1/2 2.873 * [taylor]: Taking taylor expansion of (/ x y) in y 2.873 * [taylor]: Taking taylor expansion of x in y 2.873 * [backup-simplify]: Simplify x into x 2.874 * [taylor]: Taking taylor expansion of y in y 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (/ x 1) into x 2.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.874 * [taylor]: Taking taylor expansion of -1/2 in x 2.874 * [backup-simplify]: Simplify -1/2 into -1/2 2.874 * [taylor]: Taking taylor expansion of (/ x y) in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [backup-simplify]: Simplify y into y 2.874 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.874 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.874 * [taylor]: Taking taylor expansion of -1/2 in x 2.874 * [backup-simplify]: Simplify -1/2 into -1/2 2.874 * [taylor]: Taking taylor expansion of (/ x y) in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [backup-simplify]: Simplify y into y 2.874 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.874 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 2.874 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.874 * [taylor]: Taking taylor expansion of -1/2 in y 2.875 * [backup-simplify]: Simplify -1/2 into -1/2 2.875 * [taylor]: Taking taylor expansion of y in y 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.875 * [backup-simplify]: Simplify -1/2 into -1/2 2.875 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.876 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 2.876 * [taylor]: Taking taylor expansion of 0 in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.878 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.878 * [taylor]: Taking taylor expansion of 0 in y 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.880 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.880 * [taylor]: Taking taylor expansion of 0 in y 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 2.882 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 2.882 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 2.882 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 2.882 * [taylor]: Taking taylor expansion of -1/2 in y 2.882 * [backup-simplify]: Simplify -1/2 into -1/2 2.882 * [taylor]: Taking taylor expansion of (/ x y) in y 2.882 * [taylor]: Taking taylor expansion of x in y 2.882 * [backup-simplify]: Simplify x into x 2.882 * [taylor]: Taking taylor expansion of y in y 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (/ x 1) into x 2.882 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.882 * [taylor]: Taking taylor expansion of -1/2 in x 2.882 * [backup-simplify]: Simplify -1/2 into -1/2 2.882 * [taylor]: Taking taylor expansion of (/ x y) in x 2.882 * [taylor]: Taking taylor expansion of x in x 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of y in x 2.882 * [backup-simplify]: Simplify y into y 2.882 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.882 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.882 * [taylor]: Taking taylor expansion of -1/2 in x 2.882 * [backup-simplify]: Simplify -1/2 into -1/2 2.882 * [taylor]: Taking taylor expansion of (/ x y) in x 2.882 * [taylor]: Taking taylor expansion of x in x 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [taylor]: Taking taylor expansion of y in x 2.882 * [backup-simplify]: Simplify y into y 2.882 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.883 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 2.883 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.883 * [taylor]: Taking taylor expansion of -1/2 in y 2.883 * [backup-simplify]: Simplify -1/2 into -1/2 2.883 * [taylor]: Taking taylor expansion of y in y 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.883 * [backup-simplify]: Simplify -1/2 into -1/2 2.883 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.884 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 2.884 * [taylor]: Taking taylor expansion of 0 in y 2.884 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.886 * [taylor]: Taking taylor expansion of 0 in y 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.888 * [taylor]: Taking taylor expansion of 0 in y 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 2.890 * * * [progress]: simplifying candidates 2.891 * [simplify]: Simplifying: (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 2.894 * * [simplify]: iteration 0: 150 enodes 2.970 * * [simplify]: iteration 1: 371 enodes 3.072 * * [simplify]: iteration 2: 976 enodes 3.717 * * [simplify]: iteration 3: 3102 enodes 4.439 * * [simplify]: iteration complete: 5101 enodes 4.439 * * [simplify]: Extracting #0: cost 93 inf + 0 4.443 * * [simplify]: Extracting #1: cost 1078 inf + 3 4.461 * * [simplify]: Extracting #2: cost 1366 inf + 41884 4.502 * * [simplify]: Extracting #3: cost 457 inf + 195485 4.580 * * [simplify]: Extracting #4: cost 51 inf + 266586 4.671 * * [simplify]: Extracting #5: cost 2 inf + 272592 4.769 * * [simplify]: Extracting #6: cost 0 inf + 273320 4.847 * [simplify]: Simplified to: (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (exp (/ (* -1/2 y) x)) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (* (cbrt (/ (* -1/2 y) x)) (cbrt (/ (* -1/2 y) x))) (cbrt (/ (* -1/2 y) x)) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (sqrt (/ (* -1/2 y) x)) (sqrt (/ (* -1/2 y) x)) 1/2 (- (/ x y)) (* (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (* (/ (cbrt -1/2) (cbrt x)) (cbrt y)) (* (/ (cbrt -1/2) (cbrt x)) (cbrt y))) (/ (* (cbrt -1/2) (cbrt y)) (cbrt x)) (* (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (sqrt y)) (/ (* (cbrt -1/2) (sqrt y)) (cbrt x)) (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (* (/ (cbrt -1/2) (cbrt x)) y) (* (* (/ (cbrt -1/2) (sqrt x)) (* (cbrt y) (cbrt y))) (cbrt -1/2)) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (* (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt y) (sqrt x))) (/ (* (sqrt y) (cbrt -1/2)) (sqrt x)) (* (/ (cbrt -1/2) (sqrt x)) (cbrt -1/2)) (* y (/ (cbrt -1/2) (sqrt x))) (* (* (cbrt y) (cbrt y)) (* (cbrt -1/2) (cbrt -1/2))) (/ (cbrt -1/2) (/ x (cbrt y))) (* (cbrt -1/2) (* (sqrt y) (cbrt -1/2))) (/ (* (sqrt y) (cbrt -1/2)) x) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (/ x y)) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (/ x y)) (/ (cbrt -1/2) (/ x (cbrt -1/2))) (* y (cbrt -1/2)) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt -1/2) (cbrt x)) (cbrt y)) (/ (* (sqrt -1/2) (sqrt y)) (* (cbrt x) (cbrt x))) (* (/ (sqrt -1/2) (cbrt x)) (sqrt y)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (/ (* (sqrt -1/2) y) (cbrt x)) (/ (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (sqrt x)) (* (/ (sqrt -1/2) (sqrt x)) (cbrt y)) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (/ (sqrt -1/2) (sqrt x)) (* (/ y (sqrt x)) (sqrt -1/2)) (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (* (cbrt y) (/ (sqrt -1/2) x)) (* (sqrt -1/2) (sqrt y)) (/ (sqrt -1/2) (/ x (sqrt y))) (sqrt -1/2) (/ (sqrt -1/2) (/ x y)) (sqrt -1/2) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (* y (sqrt -1/2)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (cbrt y) (/ -1/2 (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* -1/2 (sqrt y)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ -1/2 (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ -1/2 (sqrt x)) (cbrt y)) (/ (sqrt y) (sqrt x)) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ (* y -1/2) (sqrt x)) (* (cbrt y) (cbrt y)) (* (cbrt y) (/ -1/2 x)) (sqrt y) (* (sqrt y) (/ -1/2 x)) 1 (/ (* -1/2 y) x) 1 (/ (* -1/2 y) x) (/ 1 x) (* -1/2 y) (/ y x) (/ (/ x y) -1/2) (/ (/ -1/2 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ -1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (/ -1/2 (* (cbrt x) (cbrt x))) (* (* (cbrt y) (/ -1/2 (sqrt x))) (cbrt y)) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (sqrt x)) (* -1/2 (* (cbrt y) (cbrt y))) (* -1/2 (sqrt y)) -1/2 -1/2 (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) 4.851 * * * [progress]: adding candidates to table 5.222 * * [progress]: iteration 3 / 4 5.222 * * * [progress]: picking best candidate 5.233 * * * * [pick]: Picked # 5.233 * * * [progress]: localizing error 5.240 * * * [progress]: generating rewritten candidates 5.240 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 5.252 * * * [progress]: generating series expansions 5.252 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 5.252 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 5.252 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 5.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.252 * [taylor]: Taking taylor expansion of 1/2 in x 5.252 * [backup-simplify]: Simplify 1/2 into 1/2 5.252 * [taylor]: Taking taylor expansion of (/ y x) in x 5.252 * [taylor]: Taking taylor expansion of y in x 5.252 * [backup-simplify]: Simplify y into y 5.252 * [taylor]: Taking taylor expansion of x in x 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 1 into 1 5.252 * [backup-simplify]: Simplify (/ y 1) into y 5.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.252 * [taylor]: Taking taylor expansion of 1/2 in y 5.252 * [backup-simplify]: Simplify 1/2 into 1/2 5.252 * [taylor]: Taking taylor expansion of (/ y x) in y 5.252 * [taylor]: Taking taylor expansion of y in y 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 1 into 1 5.252 * [taylor]: Taking taylor expansion of x in y 5.252 * [backup-simplify]: Simplify x into x 5.253 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.253 * [taylor]: Taking taylor expansion of 1/2 in y 5.253 * [backup-simplify]: Simplify 1/2 into 1/2 5.253 * [taylor]: Taking taylor expansion of (/ y x) in y 5.253 * [taylor]: Taking taylor expansion of y in y 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [taylor]: Taking taylor expansion of x in y 5.253 * [backup-simplify]: Simplify x into x 5.253 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 5.253 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.253 * [taylor]: Taking taylor expansion of 1/2 in x 5.253 * [backup-simplify]: Simplify 1/2 into 1/2 5.253 * [taylor]: Taking taylor expansion of x in x 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.253 * [backup-simplify]: Simplify 1/2 into 1/2 5.254 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 5.254 * [taylor]: Taking taylor expansion of 0 in x 5.254 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.256 * [taylor]: Taking taylor expansion of 0 in x 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.257 * [taylor]: Taking taylor expansion of 0 in x 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 5.258 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 5.258 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.258 * [taylor]: Taking taylor expansion of 1/2 in x 5.258 * [backup-simplify]: Simplify 1/2 into 1/2 5.258 * [taylor]: Taking taylor expansion of (/ x y) in x 5.258 * [taylor]: Taking taylor expansion of x in x 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 1 into 1 5.258 * [taylor]: Taking taylor expansion of y in x 5.258 * [backup-simplify]: Simplify y into y 5.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.259 * [taylor]: Taking taylor expansion of 1/2 in y 5.259 * [backup-simplify]: Simplify 1/2 into 1/2 5.259 * [taylor]: Taking taylor expansion of (/ x y) in y 5.259 * [taylor]: Taking taylor expansion of x in y 5.259 * [backup-simplify]: Simplify x into x 5.259 * [taylor]: Taking taylor expansion of y in y 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ x 1) into x 5.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.259 * [taylor]: Taking taylor expansion of 1/2 in y 5.259 * [backup-simplify]: Simplify 1/2 into 1/2 5.259 * [taylor]: Taking taylor expansion of (/ x y) in y 5.259 * [taylor]: Taking taylor expansion of x in y 5.259 * [backup-simplify]: Simplify x into x 5.259 * [taylor]: Taking taylor expansion of y in y 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ x 1) into x 5.259 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.259 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.259 * [taylor]: Taking taylor expansion of 1/2 in x 5.259 * [backup-simplify]: Simplify 1/2 into 1/2 5.259 * [taylor]: Taking taylor expansion of x in x 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.260 * [backup-simplify]: Simplify 1/2 into 1/2 5.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.261 * [taylor]: Taking taylor expansion of 0 in x 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.263 * [taylor]: Taking taylor expansion of 0 in x 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.264 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.267 * [taylor]: Taking taylor expansion of 0 in x 5.267 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 5.268 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 5.268 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.268 * [taylor]: Taking taylor expansion of 1/2 in x 5.268 * [backup-simplify]: Simplify 1/2 into 1/2 5.268 * [taylor]: Taking taylor expansion of (/ x y) in x 5.268 * [taylor]: Taking taylor expansion of x in x 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [taylor]: Taking taylor expansion of y in x 5.268 * [backup-simplify]: Simplify y into y 5.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.268 * [taylor]: Taking taylor expansion of 1/2 in y 5.268 * [backup-simplify]: Simplify 1/2 into 1/2 5.268 * [taylor]: Taking taylor expansion of (/ x y) in y 5.268 * [taylor]: Taking taylor expansion of x in y 5.268 * [backup-simplify]: Simplify x into x 5.268 * [taylor]: Taking taylor expansion of y in y 5.268 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (/ x 1) into x 5.269 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.269 * [taylor]: Taking taylor expansion of 1/2 in y 5.269 * [backup-simplify]: Simplify 1/2 into 1/2 5.269 * [taylor]: Taking taylor expansion of (/ x y) in y 5.269 * [taylor]: Taking taylor expansion of x in y 5.269 * [backup-simplify]: Simplify x into x 5.269 * [taylor]: Taking taylor expansion of y in y 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.269 * [backup-simplify]: Simplify (/ x 1) into x 5.269 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.269 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.269 * [taylor]: Taking taylor expansion of 1/2 in x 5.269 * [backup-simplify]: Simplify 1/2 into 1/2 5.269 * [taylor]: Taking taylor expansion of x in x 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.270 * [backup-simplify]: Simplify 1/2 into 1/2 5.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.271 * [taylor]: Taking taylor expansion of 0 in x 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.274 * [taylor]: Taking taylor expansion of 0 in x 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.276 * [taylor]: Taking taylor expansion of 0 in x 5.276 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 5.277 * * * [progress]: simplifying candidates 5.277 * [simplify]: Simplifying: (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 5.278 * * [simplify]: iteration 0: 68 enodes 5.300 * * [simplify]: iteration 1: 172 enodes 5.349 * * [simplify]: iteration 2: 508 enodes 5.531 * * [simplify]: iteration 3: 1421 enodes 6.645 * * [simplify]: iteration complete: 5003 enodes 6.645 * * [simplify]: Extracting #0: cost 23 inf + 0 6.646 * * [simplify]: Extracting #1: cost 579 inf + 1 6.652 * * [simplify]: Extracting #2: cost 1294 inf + 10574 6.690 * * [simplify]: Extracting #3: cost 477 inf + 138039 6.773 * * [simplify]: Extracting #4: cost 33 inf + 208202 6.854 * * [simplify]: Extracting #5: cost 1 inf + 214229 6.938 * * [simplify]: Extracting #6: cost 0 inf + 214523 6.999 * [simplify]: Simplified to: (/ (* y 1/2) x) (log (/ (* y 1/2) x)) (log (/ (* y 1/2) x)) (log (/ (* y 1/2) x)) (sqrt (exp (/ y x))) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (* (cbrt (/ (* y 1/2) x)) (cbrt (/ (* y 1/2) x))) (cbrt (/ (* y 1/2) x)) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (sqrt (/ (* y 1/2) x)) (sqrt (/ (* y 1/2) x)) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (* 1/2 (cbrt (/ y x))) (cbrt (/ y x))) (* (sqrt (/ y x)) 1/2) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (* 1/2 (/ (cbrt y) (sqrt x))) (cbrt y)) (/ (* (cbrt y) (cbrt y)) 2) (* (/ 1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (* (/ 1/2 (sqrt x)) (sqrt y)) (/ (sqrt y) 2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* y 1/2) (* (cbrt 1/2) (/ y x)) (/ (* (sqrt 1/2) y) x) (/ (* y 1/2) x) (* y 1/2) (/ (* y 1/2) x) (/ (* y 1/2) x) (/ (* y 1/2) x) 7.000 * * * [progress]: adding candidates to table 7.138 * * [progress]: iteration 4 / 4 7.138 * * * [progress]: picking best candidate 7.145 * * * * [pick]: Picked # 7.146 * * * [progress]: localizing error 7.190 * * * [progress]: generating rewritten candidates 7.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.271 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.353 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.395 * * * [progress]: generating series expansions 7.395 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.395 * [backup-simplify]: Simplify (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) into (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) 7.395 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 7.395 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 7.395 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 7.395 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 7.396 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.396 * [taylor]: Taking taylor expansion of x in y 7.396 * [backup-simplify]: Simplify x into x 7.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.396 * [taylor]: Taking taylor expansion of y in y 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.396 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 7.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.396 * [taylor]: Taking taylor expansion of x in y 7.396 * [backup-simplify]: Simplify x into x 7.396 * [taylor]: Taking taylor expansion of y in y 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.396 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.396 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.396 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 7.397 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.397 * [backup-simplify]: Simplify (- 0) into 0 7.397 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.398 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 7.398 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.398 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.398 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.399 * [backup-simplify]: Simplify (- 1) into -1 7.399 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.400 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))))) into 1 7.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 7.400 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 7.400 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 7.400 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.400 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.400 * [taylor]: Taking taylor expansion of x in x 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify 1 into 1 7.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.400 * [taylor]: Taking taylor expansion of y in x 7.400 * [backup-simplify]: Simplify y into y 7.400 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 7.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.400 * [taylor]: Taking taylor expansion of x in x 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of y in x 7.401 * [backup-simplify]: Simplify y into y 7.401 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.401 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.401 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.401 * [backup-simplify]: Simplify (- y) into (- y) 7.401 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 7.401 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 7.401 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 7.401 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.402 * [backup-simplify]: Simplify (- 0) into 0 7.402 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (- 0) into 0 7.403 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 7.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 7.403 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 7.403 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 7.404 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.404 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.404 * [taylor]: Taking taylor expansion of x in x 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.404 * [taylor]: Taking taylor expansion of y in x 7.404 * [backup-simplify]: Simplify y into y 7.404 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 7.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.404 * [taylor]: Taking taylor expansion of x in x 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify 1 into 1 7.404 * [taylor]: Taking taylor expansion of y in x 7.404 * [backup-simplify]: Simplify y into y 7.404 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.404 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.404 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.404 * [backup-simplify]: Simplify (- y) into (- y) 7.404 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 7.405 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 7.405 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 7.405 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.405 * [backup-simplify]: Simplify (- 0) into 0 7.405 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify (- 0) into 0 7.406 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 7.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 7.407 * [taylor]: Taking taylor expansion of (sqrt y) in y 7.407 * [taylor]: Taking taylor expansion of y in y 7.407 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify 1 into 1 7.407 * [backup-simplify]: Simplify (sqrt 0) into 0 7.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [taylor]: Taking taylor expansion of 0 in y 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.409 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.409 * [backup-simplify]: Simplify (- 0) into 0 7.410 * [backup-simplify]: Simplify (+ 0 0) into 0 7.410 * [backup-simplify]: Simplify (* 1 1) into 1 7.411 * [backup-simplify]: Simplify (- 0) into 0 7.411 * [backup-simplify]: Simplify (+ 1 0) into 1 7.411 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 7.412 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 7.412 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 7.412 * [taylor]: Taking taylor expansion of 1/2 in y 7.412 * [backup-simplify]: Simplify 1/2 into 1/2 7.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 7.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.412 * [taylor]: Taking taylor expansion of y in y 7.412 * [backup-simplify]: Simplify 0 into 0 7.412 * [backup-simplify]: Simplify 1 into 1 7.412 * [backup-simplify]: Simplify (/ 1 1) into 1 7.413 * [backup-simplify]: Simplify (sqrt 0) into 0 7.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.416 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 7.416 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.416 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.419 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.420 * [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)))))) 7.420 * [backup-simplify]: Simplify (/ (sqrt (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) 7.420 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 7.420 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 7.420 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 7.420 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.420 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.420 * [taylor]: Taking taylor expansion of x in y 7.420 * [backup-simplify]: Simplify x into x 7.420 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.420 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.420 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.420 * [taylor]: Taking taylor expansion of y in y 7.420 * [backup-simplify]: Simplify 0 into 0 7.420 * [backup-simplify]: Simplify 1 into 1 7.421 * [backup-simplify]: Simplify (* 1 1) into 1 7.421 * [backup-simplify]: Simplify (/ 1 1) into 1 7.421 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 7.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.421 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.421 * [taylor]: Taking taylor expansion of x in y 7.421 * [backup-simplify]: Simplify x into x 7.421 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.421 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.421 * [taylor]: Taking taylor expansion of y in y 7.421 * [backup-simplify]: Simplify 0 into 0 7.421 * [backup-simplify]: Simplify 1 into 1 7.421 * [backup-simplify]: Simplify (/ 1 1) into 1 7.422 * [backup-simplify]: Simplify (- 1) into -1 7.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.422 * [backup-simplify]: Simplify (- 1) into -1 7.422 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.423 * [backup-simplify]: Simplify (/ -1 -1) into 1 7.423 * [backup-simplify]: Simplify (sqrt 0) into 0 7.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.424 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 7.424 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 7.424 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.424 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.424 * [taylor]: Taking taylor expansion of x in x 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (* 1 1) into 1 7.424 * [backup-simplify]: Simplify (* 1 1) into 1 7.425 * [backup-simplify]: Simplify (/ 1 1) into 1 7.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.425 * [taylor]: Taking taylor expansion of y in x 7.425 * [backup-simplify]: Simplify y into y 7.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.425 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 7.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.425 * [taylor]: Taking taylor expansion of x in x 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [backup-simplify]: Simplify (* 1 1) into 1 7.425 * [backup-simplify]: Simplify (/ 1 1) into 1 7.425 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.425 * [taylor]: Taking taylor expansion of y in x 7.426 * [backup-simplify]: Simplify y into y 7.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.426 * [backup-simplify]: Simplify (+ 1 0) into 1 7.426 * [backup-simplify]: Simplify (+ 1 0) into 1 7.426 * [backup-simplify]: Simplify (/ 1 1) into 1 7.427 * [backup-simplify]: Simplify (sqrt 1) into 1 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (+ 0 0) into 0 7.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (+ 0 0) into 0 7.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.430 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 7.430 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 7.430 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.430 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.430 * [taylor]: Taking taylor expansion of x in x 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify 1 into 1 7.430 * [backup-simplify]: Simplify (* 1 1) into 1 7.430 * [backup-simplify]: Simplify (* 1 1) into 1 7.431 * [backup-simplify]: Simplify (/ 1 1) into 1 7.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.431 * [taylor]: Taking taylor expansion of y in x 7.431 * [backup-simplify]: Simplify y into y 7.431 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.431 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.431 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 7.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.431 * [taylor]: Taking taylor expansion of x in x 7.431 * [backup-simplify]: Simplify 0 into 0 7.431 * [backup-simplify]: Simplify 1 into 1 7.431 * [backup-simplify]: Simplify (* 1 1) into 1 7.431 * [backup-simplify]: Simplify (/ 1 1) into 1 7.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.432 * [taylor]: Taking taylor expansion of y in x 7.432 * [backup-simplify]: Simplify y into y 7.432 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.432 * [backup-simplify]: Simplify (+ 1 0) into 1 7.432 * [backup-simplify]: Simplify (+ 1 0) into 1 7.432 * [backup-simplify]: Simplify (/ 1 1) into 1 7.433 * [backup-simplify]: Simplify (sqrt 1) into 1 7.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.434 * [backup-simplify]: Simplify (+ 0 0) into 0 7.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.435 * [backup-simplify]: Simplify (+ 0 0) into 0 7.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.436 * [taylor]: Taking taylor expansion of 1 in y 7.436 * [backup-simplify]: Simplify 1 into 1 7.436 * [taylor]: Taking taylor expansion of 0 in y 7.436 * [backup-simplify]: Simplify 0 into 0 7.436 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.438 * [backup-simplify]: Simplify (+ 0 0) into 0 7.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 7.439 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 7.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 7.440 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 7.440 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.440 * [taylor]: Taking taylor expansion of 1/2 in y 7.440 * [backup-simplify]: Simplify 1/2 into 1/2 7.440 * [taylor]: Taking taylor expansion of y in y 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify 1 into 1 7.441 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.441 * [backup-simplify]: Simplify 1/2 into 1/2 7.441 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (+ 0 0) into 0 7.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.446 * [backup-simplify]: Simplify (- 0) into 0 7.446 * [backup-simplify]: Simplify (+ 0 0) into 0 7.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 7.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 7.449 * [taylor]: Taking taylor expansion of 0 in y 7.449 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 0 into 0 7.450 * [backup-simplify]: Simplify 0 into 0 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.454 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.456 * [backup-simplify]: Simplify (- 0) into 0 7.457 * [backup-simplify]: Simplify (+ 0 0) into 0 7.459 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 7.460 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 7.460 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 7.460 * [taylor]: Taking taylor expansion of -1/8 in y 7.460 * [backup-simplify]: Simplify -1/8 into -1/8 7.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.460 * [taylor]: Taking taylor expansion of y in y 7.460 * [backup-simplify]: Simplify 0 into 0 7.460 * [backup-simplify]: Simplify 1 into 1 7.460 * [backup-simplify]: Simplify (* 1 1) into 1 7.461 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 7.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 7.462 * [backup-simplify]: Simplify 0 into 0 7.462 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 7.463 * [backup-simplify]: Simplify (/ (sqrt (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) 7.463 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 7.463 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 7.464 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 7.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.464 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.464 * [taylor]: Taking taylor expansion of x in y 7.464 * [backup-simplify]: Simplify x into x 7.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.464 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.464 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.464 * [taylor]: Taking taylor expansion of y in y 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.465 * [backup-simplify]: Simplify (* 1 1) into 1 7.465 * [backup-simplify]: Simplify (/ 1 1) into 1 7.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 7.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.465 * [taylor]: Taking taylor expansion of x in y 7.465 * [backup-simplify]: Simplify x into x 7.465 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.465 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.465 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.465 * [taylor]: Taking taylor expansion of y in y 7.465 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify 1 into 1 7.466 * [backup-simplify]: Simplify (/ 1 1) into 1 7.466 * [backup-simplify]: Simplify (- 1) into -1 7.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.467 * [backup-simplify]: Simplify (+ 0 1) into 1 7.467 * [backup-simplify]: Simplify (/ -1 1) into -1 7.468 * [backup-simplify]: Simplify (sqrt 0) into 0 7.469 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.469 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 7.469 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 7.469 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.469 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.469 * [taylor]: Taking taylor expansion of x in x 7.469 * [backup-simplify]: Simplify 0 into 0 7.469 * [backup-simplify]: Simplify 1 into 1 7.469 * [backup-simplify]: Simplify (* 1 1) into 1 7.470 * [backup-simplify]: Simplify (* 1 1) into 1 7.470 * [backup-simplify]: Simplify (/ 1 1) into 1 7.470 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.470 * [taylor]: Taking taylor expansion of y in x 7.470 * [backup-simplify]: Simplify y into y 7.470 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.470 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 7.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.471 * [taylor]: Taking taylor expansion of x in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 1 into 1 7.471 * [backup-simplify]: Simplify (* 1 1) into 1 7.471 * [backup-simplify]: Simplify (/ 1 1) into 1 7.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.471 * [taylor]: Taking taylor expansion of y in x 7.471 * [backup-simplify]: Simplify y into y 7.471 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.472 * [backup-simplify]: Simplify (+ 1 0) into 1 7.472 * [backup-simplify]: Simplify (+ 1 0) into 1 7.473 * [backup-simplify]: Simplify (/ 1 1) into 1 7.473 * [backup-simplify]: Simplify (sqrt 1) into 1 7.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.475 * [backup-simplify]: Simplify (+ 0 0) into 0 7.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (+ 0 0) into 0 7.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.478 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 7.478 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 7.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.478 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.478 * [taylor]: Taking taylor expansion of x in x 7.478 * [backup-simplify]: Simplify 0 into 0 7.478 * [backup-simplify]: Simplify 1 into 1 7.478 * [backup-simplify]: Simplify (* 1 1) into 1 7.479 * [backup-simplify]: Simplify (* 1 1) into 1 7.479 * [backup-simplify]: Simplify (/ 1 1) into 1 7.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.479 * [taylor]: Taking taylor expansion of y in x 7.479 * [backup-simplify]: Simplify y into y 7.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 7.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.480 * [taylor]: Taking taylor expansion of x in x 7.480 * [backup-simplify]: Simplify 0 into 0 7.480 * [backup-simplify]: Simplify 1 into 1 7.480 * [backup-simplify]: Simplify (* 1 1) into 1 7.480 * [backup-simplify]: Simplify (/ 1 1) into 1 7.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.480 * [taylor]: Taking taylor expansion of y in x 7.480 * [backup-simplify]: Simplify y into y 7.480 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.481 * [backup-simplify]: Simplify (+ 1 0) into 1 7.481 * [backup-simplify]: Simplify (+ 1 0) into 1 7.481 * [backup-simplify]: Simplify (/ 1 1) into 1 7.482 * [backup-simplify]: Simplify (sqrt 1) into 1 7.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.484 * [backup-simplify]: Simplify (+ 0 0) into 0 7.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (+ 0 0) into 0 7.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.487 * [taylor]: Taking taylor expansion of 1 in y 7.487 * [backup-simplify]: Simplify 1 into 1 7.487 * [taylor]: Taking taylor expansion of 0 in y 7.487 * [backup-simplify]: Simplify 0 into 0 7.487 * [backup-simplify]: Simplify 1 into 1 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.490 * [backup-simplify]: Simplify (+ 0 0) into 0 7.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.492 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 7.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 7.495 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 7.495 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 7.495 * [taylor]: Taking taylor expansion of -1/2 in y 7.495 * [backup-simplify]: Simplify -1/2 into -1/2 7.495 * [taylor]: Taking taylor expansion of y in y 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 1 into 1 7.495 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.495 * [backup-simplify]: Simplify -1/2 into -1/2 7.495 * [backup-simplify]: Simplify 0 into 0 7.495 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.499 * [backup-simplify]: Simplify (+ 0 0) into 0 7.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.502 * [backup-simplify]: Simplify (+ 0 0) into 0 7.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 7.504 * [taylor]: Taking taylor expansion of 0 in y 7.504 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.508 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.509 * [backup-simplify]: Simplify (+ 0 0) into 0 7.510 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 7.511 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 7.511 * [taylor]: Taking taylor expansion of -1/8 in y 7.511 * [backup-simplify]: Simplify -1/8 into -1/8 7.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.511 * [taylor]: Taking taylor expansion of y in y 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify (* 1 1) into 1 7.512 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 7.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 7.513 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 7.513 * [backup-simplify]: Simplify (sqrt (- (* x x) y)) into (sqrt (- (pow x 2) y)) 7.513 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in (x y) around 0 7.513 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in y 7.513 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 7.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.513 * [taylor]: Taking taylor expansion of x in y 7.513 * [backup-simplify]: Simplify x into x 7.513 * [taylor]: Taking taylor expansion of y in y 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.514 * [backup-simplify]: Simplify (- 0) into 0 7.514 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 7.514 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.514 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.514 * [backup-simplify]: Simplify (- 1) into -1 7.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.515 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow x 2)))) into (/ -1/2 x) 7.515 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 7.515 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 7.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.515 * [taylor]: Taking taylor expansion of x in x 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 1 into 1 7.515 * [taylor]: Taking taylor expansion of y in x 7.515 * [backup-simplify]: Simplify y into y 7.515 * [backup-simplify]: Simplify (- y) into (- y) 7.515 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 7.515 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 7.515 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify (+ 0 0) into 0 7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- y)))) into 0 7.516 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 7.516 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 7.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.516 * [taylor]: Taking taylor expansion of x in x 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 1 into 1 7.516 * [taylor]: Taking taylor expansion of y in x 7.516 * [backup-simplify]: Simplify y into y 7.516 * [backup-simplify]: Simplify (- y) into (- y) 7.516 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 7.516 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 7.516 * [backup-simplify]: Simplify (- 0) into 0 7.516 * [backup-simplify]: Simplify (+ 0 0) into 0 7.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- y)))) into 0 7.516 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 7.516 * [taylor]: Taking taylor expansion of (- y) in y 7.516 * [taylor]: Taking taylor expansion of y in y 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 1 into 1 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (- 1) into -1 7.517 * [backup-simplify]: Simplify (sqrt 0) into 0 7.517 * [backup-simplify]: Simplify (- 1) into -1 7.518 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [taylor]: Taking taylor expansion of 0 in y 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.519 * [backup-simplify]: Simplify (* 1 1) into 1 7.519 * [backup-simplify]: Simplify (- 0) into 0 7.519 * [backup-simplify]: Simplify (+ 1 0) into 1 7.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- y)))) into (/ 1/2 (sqrt (- y))) 7.520 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- y))) in y 7.520 * [taylor]: Taking taylor expansion of 1/2 in y 7.520 * [backup-simplify]: Simplify 1/2 into 1/2 7.520 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 7.520 * [taylor]: Taking taylor expansion of (- y) in y 7.520 * [taylor]: Taking taylor expansion of y in y 7.520 * [backup-simplify]: Simplify 0 into 0 7.520 * [backup-simplify]: Simplify 1 into 1 7.520 * [backup-simplify]: Simplify (- 0) into 0 7.520 * [backup-simplify]: Simplify (- 1) into -1 7.520 * [backup-simplify]: Simplify (sqrt 0) into 0 7.521 * [backup-simplify]: Simplify (- 1) into -1 7.521 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.522 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 7.522 * [backup-simplify]: Simplify (- 0) into 0 7.524 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.525 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.525 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (- 0) into 0 7.527 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.527 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.528 * [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)))))) 7.528 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 7.528 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 7.528 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 7.528 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 7.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.528 * [taylor]: Taking taylor expansion of x in y 7.528 * [backup-simplify]: Simplify x into x 7.528 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.528 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.528 * [taylor]: Taking taylor expansion of y in y 7.528 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify 1 into 1 7.529 * [backup-simplify]: Simplify (/ 1 1) into 1 7.529 * [backup-simplify]: Simplify (- 1) into -1 7.529 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.529 * [backup-simplify]: Simplify (sqrt 0) into 0 7.530 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.530 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 7.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 7.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.530 * [taylor]: Taking taylor expansion of x in x 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (* 1 1) into 1 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.531 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.531 * [taylor]: Taking taylor expansion of y in x 7.531 * [backup-simplify]: Simplify y into y 7.531 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.531 * [backup-simplify]: Simplify (+ 1 0) into 1 7.531 * [backup-simplify]: Simplify (sqrt 1) into 1 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (+ 0 0) into 0 7.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.533 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 7.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 7.533 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.533 * [taylor]: Taking taylor expansion of x in x 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 1 into 1 7.533 * [backup-simplify]: Simplify (* 1 1) into 1 7.534 * [backup-simplify]: Simplify (/ 1 1) into 1 7.534 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.534 * [taylor]: Taking taylor expansion of y in x 7.534 * [backup-simplify]: Simplify y into y 7.534 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.534 * [backup-simplify]: Simplify (+ 1 0) into 1 7.534 * [backup-simplify]: Simplify (sqrt 1) into 1 7.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (+ 0 0) into 0 7.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.536 * [taylor]: Taking taylor expansion of 1 in y 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [taylor]: Taking taylor expansion of 0 in y 7.536 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify 1 into 1 7.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.537 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 7.537 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 7.538 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 7.538 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 7.538 * [taylor]: Taking taylor expansion of -1/2 in y 7.538 * [backup-simplify]: Simplify -1/2 into -1/2 7.538 * [taylor]: Taking taylor expansion of y in y 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.538 * [backup-simplify]: Simplify -1/2 into -1/2 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.541 * [backup-simplify]: Simplify (- 0) into 0 7.541 * [backup-simplify]: Simplify (+ 0 0) into 0 7.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 7.542 * [taylor]: Taking taylor expansion of 0 in y 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.545 * [backup-simplify]: Simplify (- 0) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.547 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 7.547 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 7.547 * [taylor]: Taking taylor expansion of -1/8 in y 7.547 * [backup-simplify]: Simplify -1/8 into -1/8 7.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.547 * [taylor]: Taking taylor expansion of y in y 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 1 into 1 7.547 * [backup-simplify]: Simplify (* 1 1) into 1 7.548 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 7.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (- x (* 1/2 (/ y x))) 7.550 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 7.550 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 7.550 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 7.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 7.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.550 * [taylor]: Taking taylor expansion of x in y 7.551 * [backup-simplify]: Simplify x into x 7.551 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.551 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.551 * [taylor]: Taking taylor expansion of y in y 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 1 into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.552 * [backup-simplify]: Simplify (+ 0 1) into 1 7.552 * [backup-simplify]: Simplify (sqrt 0) into 0 7.553 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 7.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 7.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.554 * [taylor]: Taking taylor expansion of x in x 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (* 1 1) into 1 7.554 * [backup-simplify]: Simplify (/ 1 1) into 1 7.554 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.554 * [taylor]: Taking taylor expansion of y in x 7.554 * [backup-simplify]: Simplify y into y 7.555 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.555 * [backup-simplify]: Simplify (+ 1 0) into 1 7.555 * [backup-simplify]: Simplify (sqrt 1) into 1 7.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.557 * [backup-simplify]: Simplify (+ 0 0) into 0 7.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 7.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 7.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.558 * [taylor]: Taking taylor expansion of x in x 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [backup-simplify]: Simplify (* 1 1) into 1 7.559 * [backup-simplify]: Simplify (/ 1 1) into 1 7.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.559 * [taylor]: Taking taylor expansion of y in x 7.559 * [backup-simplify]: Simplify y into y 7.559 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.559 * [backup-simplify]: Simplify (+ 1 0) into 1 7.559 * [backup-simplify]: Simplify (sqrt 1) into 1 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.560 * [backup-simplify]: Simplify (+ 0 0) into 0 7.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.562 * [taylor]: Taking taylor expansion of 1 in y 7.562 * [backup-simplify]: Simplify 1 into 1 7.562 * [taylor]: Taking taylor expansion of 0 in y 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify 1 into 1 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 7.564 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 7.565 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.565 * [taylor]: Taking taylor expansion of 1/2 in y 7.565 * [backup-simplify]: Simplify 1/2 into 1/2 7.565 * [taylor]: Taking taylor expansion of y in y 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify 1 into 1 7.565 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.565 * [backup-simplify]: Simplify 1/2 into 1/2 7.565 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.566 * [backup-simplify]: Simplify (+ 0 0) into 0 7.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 7.567 * [taylor]: Taking taylor expansion of 0 in y 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 0 into 0 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.569 * [backup-simplify]: Simplify (+ 0 0) into 0 7.570 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 7.570 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 7.570 * [taylor]: Taking taylor expansion of -1/8 in y 7.570 * [backup-simplify]: Simplify -1/8 into -1/8 7.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.570 * [taylor]: Taking taylor expansion of y in y 7.570 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify 1 into 1 7.570 * [backup-simplify]: Simplify (* 1 1) into 1 7.570 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 7.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/2 (/ y x)) x) 7.572 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.572 * [backup-simplify]: Simplify (sqrt (- (* (* x x) (* x x)) (* y y))) into (sqrt (- (pow x 4) (pow y 2))) 7.572 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in (x y) around 0 7.572 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in y 7.572 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 7.572 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.572 * [taylor]: Taking taylor expansion of x in y 7.572 * [backup-simplify]: Simplify x into x 7.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.572 * [taylor]: Taking taylor expansion of y in y 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.572 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.572 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 7.572 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 7.572 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.572 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 7.573 * [backup-simplify]: Simplify (+ 0 0) into 0 7.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 7.573 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 7.573 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.573 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.573 * [taylor]: Taking taylor expansion of x in x 7.573 * [backup-simplify]: Simplify 0 into 0 7.573 * [backup-simplify]: Simplify 1 into 1 7.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.573 * [taylor]: Taking taylor expansion of y in x 7.573 * [backup-simplify]: Simplify y into y 7.573 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.573 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.573 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.573 * [backup-simplify]: Simplify (sqrt (- (pow y 2))) into (sqrt (- (pow y 2))) 7.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.574 * [backup-simplify]: Simplify (- 0) into 0 7.574 * [backup-simplify]: Simplify (+ 0 0) into 0 7.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2))))) into 0 7.574 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 7.574 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.574 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.574 * [taylor]: Taking taylor expansion of x in x 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.574 * [taylor]: Taking taylor expansion of y in x 7.574 * [backup-simplify]: Simplify y into y 7.574 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.574 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.574 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.575 * [backup-simplify]: Simplify (sqrt (- (pow y 2))) into (sqrt (- (pow y 2))) 7.575 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.575 * [backup-simplify]: Simplify (- 0) into 0 7.575 * [backup-simplify]: Simplify (+ 0 0) into 0 7.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2))))) into 0 7.575 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2))) in y 7.575 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.575 * [taylor]: Taking taylor expansion of y in y 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 1 into 1 7.576 * [backup-simplify]: Simplify (* 1 1) into 1 7.576 * [backup-simplify]: Simplify (- 1) into -1 7.576 * [backup-simplify]: Simplify (- 1) into -1 7.576 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.577 * [backup-simplify]: Simplify (- 0) into 0 7.577 * [backup-simplify]: Simplify (- 1) into -1 7.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.578 * [taylor]: Taking taylor expansion of 0 in y 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.578 * [backup-simplify]: Simplify (- 0) into 0 7.579 * [backup-simplify]: Simplify (+ 0 0) into 0 7.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 2))))) into 0 7.579 * [taylor]: Taking taylor expansion of 0 in y 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.580 * [backup-simplify]: Simplify (- 0) into 0 7.580 * [backup-simplify]: Simplify (+ 0 0) into 0 7.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 2))))) into 0 7.581 * [taylor]: Taking taylor expansion of 0 in y 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify (* (sqrt -1) (* y 1)) into (* (sqrt -1) y) 7.581 * [backup-simplify]: Simplify (sqrt (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) 7.581 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 7.581 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 7.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.582 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.582 * [taylor]: Taking taylor expansion of x in y 7.582 * [backup-simplify]: Simplify x into x 7.582 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.582 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.582 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.582 * [taylor]: Taking taylor expansion of y in y 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.582 * [backup-simplify]: Simplify (* 1 1) into 1 7.582 * [backup-simplify]: Simplify (/ 1 1) into 1 7.583 * [backup-simplify]: Simplify (- 1) into -1 7.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.583 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.585 * [backup-simplify]: Simplify (- 0) into 0 7.586 * [backup-simplify]: Simplify (+ 0 0) into 0 7.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.587 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.587 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.587 * [taylor]: Taking taylor expansion of x in x 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [backup-simplify]: Simplify (* 1 1) into 1 7.587 * [backup-simplify]: Simplify (* 1 1) into 1 7.588 * [backup-simplify]: Simplify (/ 1 1) into 1 7.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.588 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.588 * [taylor]: Taking taylor expansion of y in x 7.588 * [backup-simplify]: Simplify y into y 7.588 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.588 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.589 * [backup-simplify]: Simplify (+ 1 0) into 1 7.589 * [backup-simplify]: Simplify (sqrt 1) into 1 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.591 * [backup-simplify]: Simplify (+ 0 0) into 0 7.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.592 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.592 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.592 * [taylor]: Taking taylor expansion of x in x 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 1 into 1 7.593 * [backup-simplify]: Simplify (* 1 1) into 1 7.593 * [backup-simplify]: Simplify (* 1 1) into 1 7.594 * [backup-simplify]: Simplify (/ 1 1) into 1 7.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.594 * [taylor]: Taking taylor expansion of y in x 7.594 * [backup-simplify]: Simplify y into y 7.594 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.594 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.594 * [backup-simplify]: Simplify (+ 1 0) into 1 7.595 * [backup-simplify]: Simplify (sqrt 1) into 1 7.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.597 * [backup-simplify]: Simplify (+ 0 0) into 0 7.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.598 * [taylor]: Taking taylor expansion of 1 in y 7.598 * [backup-simplify]: Simplify 1 into 1 7.598 * [taylor]: Taking taylor expansion of 0 in y 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.601 * [backup-simplify]: Simplify (+ 0 0) into 0 7.602 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 7.602 * [taylor]: Taking taylor expansion of 0 in y 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.606 * [backup-simplify]: Simplify (+ 0 0) into 0 7.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 7.607 * [taylor]: Taking taylor expansion of 0 in y 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.611 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.613 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 2)) 7.613 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 7.613 * [taylor]: Taking taylor expansion of -1/2 in y 7.613 * [backup-simplify]: Simplify -1/2 into -1/2 7.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.613 * [taylor]: Taking taylor expansion of y in y 7.613 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify 1 into 1 7.613 * [backup-simplify]: Simplify (* 1 1) into 1 7.614 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.616 * [backup-simplify]: Simplify 0 into 0 7.616 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 7.617 * [backup-simplify]: Simplify (sqrt (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) 7.617 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 7.617 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 7.617 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.617 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.617 * [taylor]: Taking taylor expansion of x in y 7.617 * [backup-simplify]: Simplify x into x 7.617 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.617 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.617 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.617 * [taylor]: Taking taylor expansion of y in y 7.617 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (* 1 1) into 1 7.619 * [backup-simplify]: Simplify (/ 1 1) into 1 7.619 * [backup-simplify]: Simplify (- 1) into -1 7.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.620 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.622 * [backup-simplify]: Simplify (- 0) into 0 7.622 * [backup-simplify]: Simplify (+ 0 0) into 0 7.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.623 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.623 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.623 * [taylor]: Taking taylor expansion of x in x 7.623 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify 1 into 1 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.625 * [backup-simplify]: Simplify (/ 1 1) into 1 7.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.625 * [taylor]: Taking taylor expansion of y in x 7.625 * [backup-simplify]: Simplify y into y 7.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.625 * [backup-simplify]: Simplify (+ 1 0) into 1 7.626 * [backup-simplify]: Simplify (sqrt 1) into 1 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.628 * [backup-simplify]: Simplify (+ 0 0) into 0 7.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.629 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.629 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.629 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.629 * [taylor]: Taking taylor expansion of x in x 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 1 into 1 7.630 * [backup-simplify]: Simplify (* 1 1) into 1 7.630 * [backup-simplify]: Simplify (* 1 1) into 1 7.631 * [backup-simplify]: Simplify (/ 1 1) into 1 7.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.631 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.631 * [taylor]: Taking taylor expansion of y in x 7.631 * [backup-simplify]: Simplify y into y 7.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.632 * [backup-simplify]: Simplify (+ 1 0) into 1 7.632 * [backup-simplify]: Simplify (sqrt 1) into 1 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify (+ 0 0) into 0 7.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.636 * [taylor]: Taking taylor expansion of 1 in y 7.636 * [backup-simplify]: Simplify 1 into 1 7.636 * [taylor]: Taking taylor expansion of 0 in y 7.636 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify 1 into 1 7.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.640 * [backup-simplify]: Simplify (+ 0 0) into 0 7.641 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 7.641 * [taylor]: Taking taylor expansion of 0 in y 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 0 into 0 7.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.645 * [backup-simplify]: Simplify (+ 0 0) into 0 7.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 7.646 * [taylor]: Taking taylor expansion of 0 in y 7.646 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 0 into 0 7.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.650 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.650 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.652 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 2)) 7.652 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 7.652 * [taylor]: Taking taylor expansion of -1/2 in y 7.652 * [backup-simplify]: Simplify -1/2 into -1/2 7.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.652 * [taylor]: Taking taylor expansion of y in y 7.652 * [backup-simplify]: Simplify 0 into 0 7.652 * [backup-simplify]: Simplify 1 into 1 7.653 * [backup-simplify]: Simplify (* 1 1) into 1 7.653 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.654 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 7.655 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.655 * [backup-simplify]: Simplify (- (* (* x x) (* x x)) (* y y)) into (- (pow x 4) (pow y 2)) 7.655 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 7.655 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 7.655 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.655 * [taylor]: Taking taylor expansion of x in y 7.655 * [backup-simplify]: Simplify x into x 7.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.655 * [taylor]: Taking taylor expansion of y in y 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.655 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.655 * [taylor]: Taking taylor expansion of x in x 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.655 * [taylor]: Taking taylor expansion of y in x 7.655 * [backup-simplify]: Simplify y into y 7.656 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.656 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.656 * [taylor]: Taking taylor expansion of x in x 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.656 * [taylor]: Taking taylor expansion of y in x 7.656 * [backup-simplify]: Simplify y into y 7.656 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.656 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.656 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.656 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.656 * [taylor]: Taking taylor expansion of y in y 7.656 * [backup-simplify]: Simplify 0 into 0 7.656 * [backup-simplify]: Simplify 1 into 1 7.656 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.657 * [backup-simplify]: Simplify (- 0) into 0 7.657 * [backup-simplify]: Simplify (+ 0 0) into 0 7.657 * [taylor]: Taking taylor expansion of 0 in y 7.657 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.658 * [backup-simplify]: Simplify (- 0) into 0 7.658 * [backup-simplify]: Simplify (+ 0 0) into 0 7.658 * [taylor]: Taking taylor expansion of 0 in y 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 0 into 0 7.658 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify (* 1 1) into 1 7.659 * [backup-simplify]: Simplify (- 1) into -1 7.659 * [backup-simplify]: Simplify -1 into -1 7.660 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.660 * [backup-simplify]: Simplify (- 0) into 0 7.660 * [backup-simplify]: Simplify (+ 0 0) into 0 7.660 * [taylor]: Taking taylor expansion of 0 in y 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.661 * [backup-simplify]: Simplify (- 0) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify (* 1 1) into 1 7.661 * [backup-simplify]: Simplify (* 1 1) into 1 7.662 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.662 * [backup-simplify]: Simplify (- 0) into 0 7.662 * [backup-simplify]: Simplify (+ 1 0) into 1 7.662 * [taylor]: Taking taylor expansion of 1 in y 7.662 * [backup-simplify]: Simplify 1 into 1 7.662 * [backup-simplify]: Simplify 1 into 1 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.663 * [backup-simplify]: Simplify (- 0) into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.665 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.666 * [backup-simplify]: Simplify (- 0) into 0 7.666 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [taylor]: Taking taylor expansion of 0 in y 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 7.666 * [backup-simplify]: Simplify (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 7.666 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 7.666 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.667 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.667 * [taylor]: Taking taylor expansion of x in y 7.667 * [backup-simplify]: Simplify x into x 7.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.667 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.667 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.667 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.667 * [taylor]: Taking taylor expansion of y in y 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify 1 into 1 7.667 * [backup-simplify]: Simplify (* 1 1) into 1 7.667 * [backup-simplify]: Simplify (/ 1 1) into 1 7.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.667 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.667 * [taylor]: Taking taylor expansion of x in x 7.667 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify 1 into 1 7.668 * [backup-simplify]: Simplify (* 1 1) into 1 7.668 * [backup-simplify]: Simplify (* 1 1) into 1 7.668 * [backup-simplify]: Simplify (/ 1 1) into 1 7.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.668 * [taylor]: Taking taylor expansion of y in x 7.668 * [backup-simplify]: Simplify y into y 7.668 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.668 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.668 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.668 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.668 * [taylor]: Taking taylor expansion of x in x 7.668 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (* 1 1) into 1 7.669 * [backup-simplify]: Simplify (* 1 1) into 1 7.669 * [backup-simplify]: Simplify (/ 1 1) into 1 7.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.669 * [taylor]: Taking taylor expansion of y in x 7.669 * [backup-simplify]: Simplify y into y 7.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.670 * [backup-simplify]: Simplify (+ 1 0) into 1 7.670 * [taylor]: Taking taylor expansion of 1 in y 7.670 * [backup-simplify]: Simplify 1 into 1 7.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ 0 0) into 0 7.671 * [taylor]: Taking taylor expansion of 0 in y 7.671 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.673 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [taylor]: Taking taylor expansion of 0 in y 7.673 * [backup-simplify]: Simplify 0 into 0 7.673 * [backup-simplify]: Simplify 1 into 1 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.675 * [backup-simplify]: Simplify (+ 0 0) into 0 7.675 * [taylor]: Taking taylor expansion of 0 in y 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.675 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.678 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.678 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.678 * [taylor]: Taking taylor expansion of y in y 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 1 into 1 7.678 * [backup-simplify]: Simplify (* 1 1) into 1 7.678 * [backup-simplify]: Simplify (/ 1 1) into 1 7.678 * [backup-simplify]: Simplify (- 1) into -1 7.678 * [backup-simplify]: Simplify -1 into -1 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.681 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.681 * [backup-simplify]: Simplify (- 0) into 0 7.681 * [backup-simplify]: Simplify (+ 0 0) into 0 7.681 * [taylor]: Taking taylor expansion of 0 in y 7.681 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 7.683 * [backup-simplify]: Simplify (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 7.683 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 7.683 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.683 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.683 * [taylor]: Taking taylor expansion of x in y 7.683 * [backup-simplify]: Simplify x into x 7.683 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.683 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.683 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.683 * [taylor]: Taking taylor expansion of y in y 7.683 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (* 1 1) into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.686 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.686 * [taylor]: Taking taylor expansion of x in x 7.686 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify 1 into 1 7.686 * [backup-simplify]: Simplify (* 1 1) into 1 7.686 * [backup-simplify]: Simplify (* 1 1) into 1 7.686 * [backup-simplify]: Simplify (/ 1 1) into 1 7.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.686 * [taylor]: Taking taylor expansion of y in x 7.687 * [backup-simplify]: Simplify y into y 7.687 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.687 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.687 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.687 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.687 * [taylor]: Taking taylor expansion of x in x 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (* 1 1) into 1 7.687 * [backup-simplify]: Simplify (* 1 1) into 1 7.688 * [backup-simplify]: Simplify (/ 1 1) into 1 7.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.688 * [taylor]: Taking taylor expansion of y in x 7.688 * [backup-simplify]: Simplify y into y 7.688 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.688 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.688 * [backup-simplify]: Simplify (+ 1 0) into 1 7.688 * [taylor]: Taking taylor expansion of 1 in y 7.688 * [backup-simplify]: Simplify 1 into 1 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.690 * [backup-simplify]: Simplify (+ 0 0) into 0 7.690 * [taylor]: Taking taylor expansion of 0 in y 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.691 * [backup-simplify]: Simplify (+ 0 0) into 0 7.691 * [taylor]: Taking taylor expansion of 0 in y 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.693 * [backup-simplify]: Simplify (+ 0 0) into 0 7.693 * [taylor]: Taking taylor expansion of 0 in y 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.696 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.696 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.696 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.697 * [taylor]: Taking taylor expansion of y in y 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (* 1 1) into 1 7.697 * [backup-simplify]: Simplify (/ 1 1) into 1 7.698 * [backup-simplify]: Simplify (- 1) into -1 7.698 * [backup-simplify]: Simplify -1 into -1 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.701 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.702 * [backup-simplify]: Simplify (- 0) into 0 7.702 * [backup-simplify]: Simplify (+ 0 0) into 0 7.702 * [taylor]: Taking taylor expansion of 0 in y 7.702 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.704 * [backup-simplify]: Simplify (- 0) into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 7.704 * * * [progress]: simplifying candidates 7.706 * [simplify]: Simplifying: (- (log (sqrt (- (* (* x x) (* x x)) (* y y)))) (log (sqrt (- (* x x) y)))) (log (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (/ (* (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))) (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))))) (cbrt (/ (sqrt (- (* (* x x) 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enodes 9.313 * * [simplify]: iteration 3: 4312 enodes 10.896 * * [simplify]: iteration complete: 5012 enodes 10.896 * * [simplify]: Extracting #0: cost 112 inf + 0 10.897 * * [simplify]: Extracting #1: cost 409 inf + 2 10.903 * * [simplify]: Extracting #2: cost 1131 inf + 377 10.935 * * [simplify]: Extracting #3: cost 1104 inf + 52034 10.991 * * [simplify]: Extracting #4: cost 338 inf + 181782 11.048 * * [simplify]: Extracting #5: cost 12 inf + 267623 11.145 * * [simplify]: Extracting #6: cost 0 inf + 271579 11.228 * [simplify]: Simplified to: (log (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (log (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (* (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (- (* x x) y)) (/ (* (+ (* x x) y) (- (* x x) y)) (sqrt (- (* x x) y)))) (* (cbrt (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) 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(+ (* x x) y) (- (* x x) y)))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (- (* (* (* x x) (* (* x x) (* x x))) (* (* x x) (* (* x x) (* x x)))) (* (* (* y y) (* y y)) (* y y))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (+ (* y y) (* (* x x) (* x x))))) (* y (- y)) (* (+ (* (* x x) (* x x)) (* y y)) (- (* (* x x) (* x x)) (* y y))) (+ (* y y) (* (* x x) (* x x))) (+ (* x x) y) (- (* x x) y) (* y (- y)) (+ (* +nan.0 (- (* x x) y)) (- (* +nan.0 (* y y)))) (+ (/ (* y 1/2) x) x) (- (* -1/2 (/ y x)) x) (+ (* +nan.0 (- (* x x) y)) (- (* +nan.0 (* y y)))) (- x (/ (* y 1/2) x)) (- (/ (* y 1/2) x) x) (* y (sqrt -1)) (* x x) (* x x) (* (+ (* x x) y) (- (* x x) y)) (* (+ (* x x) y) (- (* x x) y)) (* (+ (* x x) y) (- (* x x) y)) 11.242 * * * [progress]: adding candidates to table 11.957 * [progress]: [Phase 3 of 3] Extracting. 11.957 * * [regime]: Finding splitpoints for: (# # # #) 11.958 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 11.958 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 12.027 * * * * [regimes]: Trying to branch on (* x x) from (# #) 12.078 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 12.155 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 12.203 * * * * [regimes]: Trying to branch on y from (# # # #) 12.298 * * * * [regimes]: Trying to branch on x from (# # # #) 12.371 * * * [regime]: Found split indices: #