19.632 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: Extracting # 1 : cost 0 0.019 * * [simplify]: Extracting # 2 : cost 0 0.019 * * [simplify]: Extracting # 3 : cost 0 0.019 * * [simplify]: Extracting # 4 : cost 0 0.019 * * [simplify]: Extracting # 5 : cost 0 0.019 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.074 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.074 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.074 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [backup-simplify]: Simplify x into x 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.074 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.074 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.074 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.075 * [backup-simplify]: Simplify (+ 0 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (+ 0 y) into y 0.076 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (+ 0 y) into y 0.077 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.077 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (sqrt 0) into 0 0.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.081 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.081 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.081 * [taylor]: Taking taylor expansion of 1/2 in y 0.081 * [backup-simplify]: Simplify 1/2 into 1/2 0.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.082 * [backup-simplify]: Simplify (sqrt 0) into 0 0.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.085 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.086 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.086 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.089 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.090 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [backup-simplify]: Simplify x into x 0.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ 0 1) into 1 0.092 * [backup-simplify]: Simplify (sqrt 0) into 0 0.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [backup-simplify]: Simplify y into y 0.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.094 * [backup-simplify]: Simplify (+ 1 0) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.099 * [backup-simplify]: Simplify (+ 1 0) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.120 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.120 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.120 * [taylor]: Taking taylor expansion of 1/2 in y 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.129 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of -1/8 in y 0.130 * [backup-simplify]: Simplify -1/8 into -1/8 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.132 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.133 * [backup-simplify]: Simplify (sqrt 0) into 0 0.134 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.134 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.134 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [backup-simplify]: Simplify y into y 0.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (sqrt 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.137 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [backup-simplify]: Simplify y into y 0.138 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.141 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.142 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.142 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.142 * [taylor]: Taking taylor expansion of -1/2 in y 0.142 * [backup-simplify]: Simplify -1/2 into -1/2 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.143 * [backup-simplify]: Simplify -1/2 into -1/2 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.148 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of -1/8 in y 0.148 * [backup-simplify]: Simplify -1/8 into -1/8 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.150 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.150 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.150 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (+ 0 y) into y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.154 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.154 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [backup-simplify]: Simplify y into y 0.156 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.169 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.169 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [backup-simplify]: Simplify x into x 0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [backup-simplify]: Simplify (+ 1 0) into 1 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.178 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.179 * [backup-simplify]: Simplify -1 into -1 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.181 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.188 * * * [progress]: simplifying candidates 0.189 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.190 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.191 * * [simplify]: Extracting # 4 : cost 0 0.191 * * [simplify]: Extracting # 5 : cost 0 0.191 * * [simplify]: Extracting # 6 : cost 0 0.191 * * [simplify]: Extracting # 7 : cost 0 0.191 * * [simplify]: Extracting # 8 : cost 0 0.191 * * [simplify]: Extracting # 9 : cost 0 0.191 * * [simplify]: Extracting # 10 : cost 0 0.192 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.218 * * [simplify]: Extracting # 0 : cost 0 0.218 * * [simplify]: Extracting # 1 : cost 0 0.219 * * [simplify]: Extracting # 2 : cost 0 0.219 * * [simplify]: Extracting # 3 : cost 0 0.219 * * [simplify]: Extracting # 4 : cost 0 0.219 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.313 * * [simplify]: Extracting # 0 : cost 0 0.314 * * [simplify]: Extracting # 1 : cost 0 0.314 * * [simplify]: Extracting # 2 : cost 0 0.315 * * [simplify]: Extracting # 3 : cost 0 0.316 * * [simplify]: Extracting # 4 : cost 0 0.316 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.536 * * [simplify]: Extracting # 0 : cost 0 0.537 * * [simplify]: Extracting # 1 : cost 0 0.539 * * [simplify]: Extracting # 2 : cost 0 0.540 * * [simplify]: Extracting # 3 : cost 0 0.541 * * [simplify]: Extracting # 4 : cost 0 0.543 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 1.087 * * [simplify]: Extracting # 0 : cost 0 1.089 * * [simplify]: Extracting # 1 : cost 0 1.091 * * [simplify]: Extracting # 2 : cost 0 1.093 * * [simplify]: Extracting # 3 : cost 0 1.094 * * [simplify]: Extracting # 4 : cost 0 1.098 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 2.786 * * [simplify]: Extracting # 0 : cost 0 2.799 * * [simplify]: Extracting # 1 : cost 0 2.802 * * [simplify]: Extracting # 2 : cost 0 2.805 * * [simplify]: Extracting # 3 : cost 0 2.808 * * [simplify]: Extracting # 4 : cost 0 2.811 * * [simplify]: Extracting # 5 : cost 0 2.813 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 4.436 * * [simplify]: Extracting # 0 : cost 0 4.439 * * [simplify]: Extracting # 1 : cost 0 4.444 * * [simplify]: Extracting # 2 : cost 0 4.455 * * [simplify]: Extracting # 3 : cost 0 4.459 * * [simplify]: Extracting # 4 : cost 0 4.463 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 4.463 * [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))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 4.463 * * * [progress]: adding candidates to table 4.548 * * [progress]: iteration 2 / 4 4.548 * * * [progress]: picking best candidate 4.550 * * * * [pick]: Picked # 4.551 * * * [progress]: localizing error 4.557 * * * [progress]: generating rewritten candidates 4.557 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.570 * * * [progress]: generating series expansions 4.570 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.570 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 4.570 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 4.570 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 4.570 * [taylor]: Taking taylor expansion of x in y 4.570 * [backup-simplify]: Simplify x into x 4.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.570 * [taylor]: Taking taylor expansion of 1/2 in y 4.570 * [backup-simplify]: Simplify 1/2 into 1/2 4.570 * [taylor]: Taking taylor expansion of (/ y x) in y 4.570 * [taylor]: Taking taylor expansion of y in y 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [taylor]: Taking taylor expansion of x in y 4.570 * [backup-simplify]: Simplify x into x 4.570 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.571 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.571 * [taylor]: Taking taylor expansion of x in x 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.571 * [taylor]: Taking taylor expansion of 1/2 in x 4.571 * [backup-simplify]: Simplify 1/2 into 1/2 4.571 * [taylor]: Taking taylor expansion of (/ y x) in x 4.571 * [taylor]: Taking taylor expansion of y in x 4.571 * [backup-simplify]: Simplify y into y 4.571 * [taylor]: Taking taylor expansion of x in x 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [backup-simplify]: Simplify (/ y 1) into y 4.571 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.571 * [taylor]: Taking taylor expansion of x in x 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.571 * [taylor]: Taking taylor expansion of 1/2 in x 4.571 * [backup-simplify]: Simplify 1/2 into 1/2 4.571 * [taylor]: Taking taylor expansion of (/ y x) in x 4.571 * [taylor]: Taking taylor expansion of y in x 4.571 * [backup-simplify]: Simplify y into y 4.571 * [taylor]: Taking taylor expansion of x in x 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.571 * [backup-simplify]: Simplify (/ y 1) into y 4.571 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.572 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 4.572 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.572 * [taylor]: Taking taylor expansion of 1/2 in y 4.572 * [backup-simplify]: Simplify 1/2 into 1/2 4.572 * [taylor]: Taking taylor expansion of y in y 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 1 into 1 4.572 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.572 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.574 * [backup-simplify]: Simplify (+ 0 0) into 0 4.574 * [taylor]: Taking taylor expansion of 0 in y 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.575 * [backup-simplify]: Simplify 1/2 into 1/2 4.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.578 * [backup-simplify]: Simplify (+ 1 0) into 1 4.578 * [taylor]: Taking taylor expansion of 1 in y 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.579 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.583 * [backup-simplify]: Simplify (+ 0 0) into 0 4.583 * [taylor]: Taking taylor expansion of 0 in y 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 4.585 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 4.585 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 4.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.585 * [taylor]: Taking taylor expansion of 1/2 in y 4.585 * [backup-simplify]: Simplify 1/2 into 1/2 4.585 * [taylor]: Taking taylor expansion of (/ x y) in y 4.585 * [taylor]: Taking taylor expansion of x in y 4.585 * [backup-simplify]: Simplify x into x 4.585 * [taylor]: Taking taylor expansion of y in y 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ x 1) into x 4.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.585 * [taylor]: Taking taylor expansion of x in y 4.585 * [backup-simplify]: Simplify x into x 4.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.585 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.585 * [taylor]: Taking taylor expansion of 1/2 in x 4.585 * [backup-simplify]: Simplify 1/2 into 1/2 4.585 * [taylor]: Taking taylor expansion of (/ x y) in x 4.585 * [taylor]: Taking taylor expansion of x in x 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [taylor]: Taking taylor expansion of y in x 4.585 * [backup-simplify]: Simplify y into y 4.585 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [backup-simplify]: Simplify (/ 1 1) into 1 4.586 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.586 * [taylor]: Taking taylor expansion of 1/2 in x 4.586 * [backup-simplify]: Simplify 1/2 into 1/2 4.586 * [taylor]: Taking taylor expansion of (/ x y) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.586 * [backup-simplify]: Simplify 1 into 1 4.586 * [taylor]: Taking taylor expansion of y in x 4.586 * [backup-simplify]: Simplify y into y 4.586 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.586 * [taylor]: Taking taylor expansion of x in x 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify 1 into 1 4.587 * [backup-simplify]: Simplify (/ 1 1) into 1 4.587 * [backup-simplify]: Simplify (+ 0 1) into 1 4.587 * [taylor]: Taking taylor expansion of 1 in y 4.587 * [backup-simplify]: Simplify 1 into 1 4.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.589 * [taylor]: Taking taylor expansion of 0 in y 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.589 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.590 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.590 * [taylor]: Taking taylor expansion of 1/2 in y 4.590 * [backup-simplify]: Simplify 1/2 into 1/2 4.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.590 * [taylor]: Taking taylor expansion of y in y 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (/ 1 1) into 1 4.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.591 * [backup-simplify]: Simplify 1/2 into 1/2 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.593 * [backup-simplify]: Simplify (+ 0 0) into 0 4.593 * [taylor]: Taking taylor expansion of 0 in y 4.593 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ 0 0) into 0 4.597 * [taylor]: Taking taylor expansion of 0 in y 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.598 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 4.598 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.598 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 4.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.598 * [taylor]: Taking taylor expansion of 1/2 in y 4.598 * [backup-simplify]: Simplify 1/2 into 1/2 4.598 * [taylor]: Taking taylor expansion of (/ x y) in y 4.598 * [taylor]: Taking taylor expansion of x in y 4.598 * [backup-simplify]: Simplify x into x 4.598 * [taylor]: Taking taylor expansion of y in y 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (/ x 1) into x 4.599 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.599 * [taylor]: Taking taylor expansion of x in y 4.599 * [backup-simplify]: Simplify x into x 4.599 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.599 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.599 * [taylor]: Taking taylor expansion of 1/2 in x 4.599 * [backup-simplify]: Simplify 1/2 into 1/2 4.599 * [taylor]: Taking taylor expansion of (/ x y) in x 4.599 * [taylor]: Taking taylor expansion of x in x 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.599 * [taylor]: Taking taylor expansion of y in x 4.599 * [backup-simplify]: Simplify y into y 4.599 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.599 * [taylor]: Taking taylor expansion of x in x 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify (/ 1 1) into 1 4.600 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.600 * [taylor]: Taking taylor expansion of 1/2 in x 4.600 * [backup-simplify]: Simplify 1/2 into 1/2 4.600 * [taylor]: Taking taylor expansion of (/ x y) in x 4.600 * [taylor]: Taking taylor expansion of x in x 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [taylor]: Taking taylor expansion of y in x 4.600 * [backup-simplify]: Simplify y into y 4.600 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.600 * [taylor]: Taking taylor expansion of x in x 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 1 into 1 4.601 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (- 1) into -1 4.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.611 * [taylor]: Taking taylor expansion of -1 in y 4.611 * [backup-simplify]: Simplify -1 into -1 4.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (- 0) into 0 4.613 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [taylor]: Taking taylor expansion of 0 in y 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify -1 into -1 4.613 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (- 0) into 0 4.614 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.614 * [taylor]: Taking taylor expansion of 1/2 in y 4.614 * [backup-simplify]: Simplify 1/2 into 1/2 4.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.615 * [taylor]: Taking taylor expansion of y in y 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 1 into 1 4.615 * [backup-simplify]: Simplify (/ 1 1) into 1 4.615 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.616 * [backup-simplify]: Simplify 1/2 into 1/2 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (- 0) into 0 4.618 * [backup-simplify]: Simplify (+ 0 0) into 0 4.618 * [taylor]: Taking taylor expansion of 0 in y 4.618 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.623 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [taylor]: Taking taylor expansion of 0 in y 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 4.624 * * * [progress]: simplifying candidates 4.624 * [simplify]: Simplifying: (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 4.625 * * [simplify]: Extracting # 0 : cost 0 4.625 * * [simplify]: Extracting # 1 : cost 0 4.625 * * [simplify]: Extracting # 2 : cost 0 4.625 * * [simplify]: Extracting # 3 : cost 0 4.625 * * [simplify]: Extracting # 4 : cost 0 4.625 * * [simplify]: Extracting # 5 : cost 0 4.625 * * [simplify]: Extracting # 6 : cost 0 4.626 * * [simplify]: iteration 0 : 27 enodes (cost 166 ) 4.639 * * [simplify]: Extracting # 0 : cost 0 4.639 * * [simplify]: Extracting # 1 : cost 0 4.639 * * [simplify]: Extracting # 2 : cost 0 4.639 * * [simplify]: Extracting # 3 : cost 0 4.640 * * [simplify]: iteration 1 : 86 enodes (cost 157 ) 4.687 * * [simplify]: Extracting # 0 : cost 0 4.687 * * [simplify]: Extracting # 1 : cost 0 4.688 * * [simplify]: Extracting # 2 : cost 0 4.689 * * [simplify]: Extracting # 3 : cost 0 4.689 * * [simplify]: Extracting # 4 : cost 0 4.690 * * [simplify]: Extracting # 5 : cost 0 4.691 * * [simplify]: iteration 2 : 294 enodes (cost 143 ) 4.869 * * [simplify]: Extracting # 0 : cost 0 4.871 * * [simplify]: Extracting # 1 : cost 0 4.873 * * [simplify]: Extracting # 2 : cost 0 4.875 * * [simplify]: Extracting # 3 : cost 0 4.876 * * [simplify]: Extracting # 4 : cost 0 4.878 * * [simplify]: iteration 3 : 964 enodes (cost 143 ) 6.388 * * [simplify]: Extracting # 0 : cost 0 6.392 * * [simplify]: Extracting # 1 : cost 0 6.395 * * [simplify]: Extracting # 2 : cost 0 6.398 * * [simplify]: Extracting # 3 : cost 0 6.401 * * [simplify]: Extracting # 4 : cost 0 6.404 * * [simplify]: iteration 4 : 3062 enodes (cost 143 ) 8.071 * * [simplify]: Extracting # 0 : cost 0 8.081 * * [simplify]: Extracting # 1 : cost 0 8.090 * * [simplify]: Extracting # 2 : cost 0 8.096 * * [simplify]: Extracting # 3 : cost 0 8.100 * * [simplify]: Extracting # 4 : cost 0 8.109 * * [simplify]: iteration done: 5000 enodes (cost 143 ) 8.109 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x))) (- (* x x) (* 1/4 (* (/ y x) (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 8.109 * * * [progress]: adding candidates to table 8.130 * * [progress]: iteration 3 / 4 8.130 * * * [progress]: picking best candidate 8.131 * * * * [pick]: Picked # 8.131 * * * [progress]: localizing error 8.137 * * * [progress]: generating rewritten candidates 8.137 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 8.149 * * * [progress]: generating series expansions 8.149 * * * * [progress]: [ 1 / 1 ] generating series at (2) 8.149 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 8.149 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 8.149 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 8.149 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 8.149 * [taylor]: Taking taylor expansion of x in x 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 1 into 1 8.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 8.149 * [taylor]: Taking taylor expansion of 1/2 in x 8.149 * [backup-simplify]: Simplify 1/2 into 1/2 8.149 * [taylor]: Taking taylor expansion of (/ y x) in x 8.149 * [taylor]: Taking taylor expansion of y in x 8.149 * [backup-simplify]: Simplify y into y 8.149 * [taylor]: Taking taylor expansion of x in x 8.149 * [backup-simplify]: Simplify 0 into 0 8.149 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (/ y 1) into y 8.150 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 8.150 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [backup-simplify]: Simplify x into x 8.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.150 * [taylor]: Taking taylor expansion of 1/2 in y 8.150 * [backup-simplify]: Simplify 1/2 into 1/2 8.150 * [taylor]: Taking taylor expansion of (/ y x) in y 8.150 * [taylor]: Taking taylor expansion of y in y 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [backup-simplify]: Simplify x into x 8.150 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.150 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 8.150 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [backup-simplify]: Simplify x into x 8.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.150 * [taylor]: Taking taylor expansion of 1/2 in y 8.150 * [backup-simplify]: Simplify 1/2 into 1/2 8.150 * [taylor]: Taking taylor expansion of (/ y x) in y 8.150 * [taylor]: Taking taylor expansion of y in y 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [taylor]: Taking taylor expansion of x in y 8.150 * [backup-simplify]: Simplify x into x 8.150 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.150 * [backup-simplify]: Simplify (+ x 0) into x 8.150 * [backup-simplify]: Simplify (- x) into (- x) 8.150 * [taylor]: Taking taylor expansion of (- x) in x 8.150 * [taylor]: Taking taylor expansion of x in x 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 8.150 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 8.150 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 8.150 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 8.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 8.150 * [taylor]: Taking taylor expansion of 1/2 in x 8.151 * [backup-simplify]: Simplify 1/2 into 1/2 8.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.151 * [taylor]: Taking taylor expansion of x in x 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [backup-simplify]: Simplify (/ 1 1) into 1 8.151 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.152 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.152 * [backup-simplify]: Simplify -1/2 into -1/2 8.152 * [backup-simplify]: Simplify (- 0) into 0 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 8.153 * [backup-simplify]: Simplify (+ 0 0) into 0 8.153 * [backup-simplify]: Simplify (- 0) into 0 8.153 * [taylor]: Taking taylor expansion of 0 in x 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.154 * [backup-simplify]: Simplify (- 0) into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (- 1) into -1 8.154 * [backup-simplify]: Simplify -1 into -1 8.154 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.155 * [backup-simplify]: Simplify (- 0) into 0 8.155 * [taylor]: Taking taylor expansion of 0 in x 8.155 * [backup-simplify]: Simplify 0 into 0 8.155 * [backup-simplify]: Simplify 0 into 0 8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.157 * [backup-simplify]: Simplify (- 0) into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify (- 0) into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.158 * [backup-simplify]: Simplify (+ 0 0) into 0 8.158 * [backup-simplify]: Simplify (- 0) into 0 8.158 * [taylor]: Taking taylor expansion of 0 in x 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.160 * [backup-simplify]: Simplify (- 0) into 0 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 8.161 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 8.161 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 8.161 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 8.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 8.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.161 * [taylor]: Taking taylor expansion of 1/2 in x 8.161 * [backup-simplify]: Simplify 1/2 into 1/2 8.161 * [taylor]: Taking taylor expansion of (/ x y) in x 8.161 * [taylor]: Taking taylor expansion of x in x 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [taylor]: Taking taylor expansion of y in x 8.161 * [backup-simplify]: Simplify y into y 8.161 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.161 * [taylor]: Taking taylor expansion of x in x 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ 1 1) into 1 8.161 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 8.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 8.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.161 * [taylor]: Taking taylor expansion of 1/2 in y 8.161 * [backup-simplify]: Simplify 1/2 into 1/2 8.161 * [taylor]: Taking taylor expansion of (/ x y) in y 8.161 * [taylor]: Taking taylor expansion of x in y 8.161 * [backup-simplify]: Simplify x into x 8.161 * [taylor]: Taking taylor expansion of y in y 8.161 * [backup-simplify]: Simplify 0 into 0 8.161 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ x 1) into x 8.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.161 * [taylor]: Taking taylor expansion of x in y 8.161 * [backup-simplify]: Simplify x into x 8.161 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.161 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 8.161 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 8.161 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.161 * [taylor]: Taking taylor expansion of 1/2 in y 8.162 * [backup-simplify]: Simplify 1/2 into 1/2 8.162 * [taylor]: Taking taylor expansion of (/ x y) in y 8.162 * [taylor]: Taking taylor expansion of x in y 8.162 * [backup-simplify]: Simplify x into x 8.162 * [taylor]: Taking taylor expansion of y in y 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.162 * [backup-simplify]: Simplify (/ x 1) into x 8.162 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.162 * [taylor]: Taking taylor expansion of x in y 8.162 * [backup-simplify]: Simplify x into x 8.162 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.162 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 8.162 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 8.162 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 8.162 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 8.162 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.162 * [taylor]: Taking taylor expansion of 1/2 in x 8.162 * [backup-simplify]: Simplify 1/2 into 1/2 8.162 * [taylor]: Taking taylor expansion of x in x 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 8.163 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 8.163 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 8.163 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 8.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.163 * [taylor]: Taking taylor expansion of x in x 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [backup-simplify]: Simplify (/ 1 1) into 1 8.164 * [backup-simplify]: Simplify (- 1) into -1 8.164 * [backup-simplify]: Simplify -1 into -1 8.164 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.165 * [backup-simplify]: Simplify (- 0) into 0 8.165 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [backup-simplify]: Simplify (- 0) into 0 8.168 * [taylor]: Taking taylor expansion of 0 in x 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.169 * [backup-simplify]: Simplify (- 0) into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.170 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.170 * [backup-simplify]: Simplify -1/2 into -1/2 8.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.173 * [backup-simplify]: Simplify (+ 0 0) into 0 8.174 * [backup-simplify]: Simplify (- 0) into 0 8.174 * [taylor]: Taking taylor expansion of 0 in x 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (- 0) into 0 8.175 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.181 * [backup-simplify]: Simplify (+ 0 0) into 0 8.181 * [backup-simplify]: Simplify (- 0) into 0 8.181 * [taylor]: Taking taylor expansion of 0 in x 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.183 * [backup-simplify]: Simplify (- 0) into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 8.184 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 8.184 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 8.184 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 8.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.184 * [taylor]: Taking taylor expansion of x in x 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (/ 1 1) into 1 8.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.184 * [taylor]: Taking taylor expansion of 1/2 in x 8.184 * [backup-simplify]: Simplify 1/2 into 1/2 8.184 * [taylor]: Taking taylor expansion of (/ x y) in x 8.184 * [taylor]: Taking taylor expansion of x in x 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [taylor]: Taking taylor expansion of y in x 8.184 * [backup-simplify]: Simplify y into y 8.184 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.184 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 8.184 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.185 * [taylor]: Taking taylor expansion of x in y 8.185 * [backup-simplify]: Simplify x into x 8.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.185 * [taylor]: Taking taylor expansion of 1/2 in y 8.185 * [backup-simplify]: Simplify 1/2 into 1/2 8.185 * [taylor]: Taking taylor expansion of (/ x y) in y 8.185 * [taylor]: Taking taylor expansion of x in y 8.185 * [backup-simplify]: Simplify x into x 8.185 * [taylor]: Taking taylor expansion of y in y 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (/ x 1) into x 8.185 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 8.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.185 * [taylor]: Taking taylor expansion of x in y 8.185 * [backup-simplify]: Simplify x into x 8.185 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.185 * [taylor]: Taking taylor expansion of 1/2 in y 8.185 * [backup-simplify]: Simplify 1/2 into 1/2 8.185 * [taylor]: Taking taylor expansion of (/ x y) in y 8.185 * [taylor]: Taking taylor expansion of x in y 8.185 * [backup-simplify]: Simplify x into x 8.185 * [taylor]: Taking taylor expansion of y in y 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 1 into 1 8.185 * [backup-simplify]: Simplify (/ x 1) into x 8.186 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 8.186 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 8.186 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 8.186 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 8.186 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.186 * [taylor]: Taking taylor expansion of 1/2 in x 8.186 * [backup-simplify]: Simplify 1/2 into 1/2 8.186 * [taylor]: Taking taylor expansion of x in x 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 8.193 * [backup-simplify]: Simplify (- 0) into 0 8.193 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 8.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.193 * [taylor]: Taking taylor expansion of x in x 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.193 * [backup-simplify]: Simplify (/ 1 1) into 1 8.194 * [backup-simplify]: Simplify 1 into 1 8.194 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 8.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.197 * [backup-simplify]: Simplify (- 0) into 0 8.197 * [backup-simplify]: Simplify (+ 0 0) into 0 8.197 * [taylor]: Taking taylor expansion of 0 in x 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.198 * [backup-simplify]: Simplify (- 1/2) into -1/2 8.198 * [backup-simplify]: Simplify -1/2 into -1/2 8.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.200 * [backup-simplify]: Simplify (- 0) into 0 8.200 * [backup-simplify]: Simplify (+ 0 0) into 0 8.200 * [taylor]: Taking taylor expansion of 0 in x 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.201 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.202 * [backup-simplify]: Simplify (- 0) into 0 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (+ 0 0) into 0 8.205 * [taylor]: Taking taylor expansion of 0 in x 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 8.206 * * * [progress]: simplifying candidates 8.206 * [simplify]: Simplifying: (/ (exp (* (/ y x) -1/2)) (exp x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 8.207 * * [simplify]: Extracting # 0 : cost 0 8.207 * * [simplify]: Extracting # 1 : cost 0 8.207 * * [simplify]: Extracting # 2 : cost 0 8.207 * * [simplify]: Extracting # 3 : cost 0 8.207 * * [simplify]: Extracting # 4 : cost 0 8.207 * * [simplify]: Extracting # 5 : cost 0 8.207 * * [simplify]: Extracting # 6 : cost 0 8.207 * * [simplify]: Extracting # 7 : cost 0 8.207 * * [simplify]: iteration 0 : 32 enodes (cost 173 ) 8.214 * * [simplify]: Extracting # 0 : cost 0 8.214 * * [simplify]: Extracting # 1 : cost 0 8.214 * * [simplify]: Extracting # 2 : cost 0 8.214 * * [simplify]: Extracting # 3 : cost 0 8.214 * * [simplify]: iteration 1 : 82 enodes (cost 166 ) 8.240 * * [simplify]: Extracting # 0 : cost 0 8.240 * * [simplify]: Extracting # 1 : cost 0 8.241 * * [simplify]: Extracting # 2 : cost 0 8.242 * * [simplify]: Extracting # 3 : cost 0 8.242 * * [simplify]: Extracting # 4 : cost 0 8.242 * * [simplify]: iteration 2 : 227 enodes (cost 149 ) 8.423 * * [simplify]: Extracting # 0 : cost 0 8.424 * * [simplify]: Extracting # 1 : cost 0 8.425 * * [simplify]: Extracting # 2 : cost 0 8.426 * * [simplify]: Extracting # 3 : cost 0 8.427 * * [simplify]: Extracting # 4 : cost 0 8.428 * * [simplify]: Extracting # 5 : cost 0 8.429 * * [simplify]: Extracting # 6 : cost 0 8.430 * * [simplify]: iteration 3 : 841 enodes (cost 147 ) 9.716 * * [simplify]: Extracting # 0 : cost 0 9.727 * * [simplify]: Extracting # 1 : cost 0 9.733 * * [simplify]: Extracting # 2 : cost 0 9.740 * * [simplify]: Extracting # 3 : cost 0 9.743 * * [simplify]: Extracting # 4 : cost 0 9.750 * * [simplify]: iteration 4 : 3605 enodes (cost 147 ) 11.330 * * [simplify]: Extracting # 0 : cost 0 11.335 * * [simplify]: Extracting # 1 : cost 0 11.340 * * [simplify]: Extracting # 2 : cost 0 11.345 * * [simplify]: iteration done: 5000 enodes (cost 147 ) 11.345 * [simplify]: Simplified to: (exp (- (* (/ y x) -1/2) x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (pow (- (* (/ y x) -1/2) x) 3) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (+ (* (/ y x) -1/2) x) (* (/ y x) -1/2)) (* x x)) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) 11.345 * * * [progress]: adding candidates to table 11.372 * [progress]: [Phase 3 of 3] Extracting. 11.372 * * [regime]: Finding splitpoints for: (# # #)