4.391 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (/ (+ x y) (+ y 1.0)) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: Extracting # 3 : cost 0 0.021 * * [simplify]: Extracting # 4 : cost 0 0.022 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: iteration done: 8 enodes (cost 7 ) 0.023 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.079 * [backup-simplify]: Simplify (/ (+ x y) (+ y 1.0)) into (/ (+ x y) (+ y 1.0)) 0.079 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.079 * [taylor]: Taking taylor expansion of (+ x y) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [backup-simplify]: Simplify x into x 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of 1.0 in y 0.079 * [backup-simplify]: Simplify 1.0 into 1.0 0.080 * [backup-simplify]: Simplify (+ x 0) into x 0.080 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.080 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 0.080 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 y) into y 0.081 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.081 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.081 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [backup-simplify]: Simplify 1.0 into 1.0 0.081 * [backup-simplify]: Simplify (+ 0 y) into y 0.081 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 0.081 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 0.082 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of 1.0 in y 0.082 * [backup-simplify]: Simplify 1.0 into 1.0 0.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.083 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (- (/ 1 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))))) into (/ 1 (+ y 1.0)) 0.084 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.084 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of 1.0 in y 0.084 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.085 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.085 * [backup-simplify]: Simplify 1.0 into 1.0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 (+ y 1.0)) (+ (* (/ y (+ y 1.0)) (/ 0 (+ y 1.0))) (* (/ 1 (+ y 1.0)) (/ 0 (+ y 1.0))))) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.089 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.090 * [backup-simplify]: Simplify (+ (* (- 1.0) (* y x)) (+ (* 1.0 (* y 1)) (* 1.0 (* 1 x)))) into (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) 0.090 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) 1.0)) into (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) 0.090 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of 1.0 in y 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [backup-simplify]: Simplify 1.0 into 1.0 0.094 * [backup-simplify]: Simplify (+ 0 1) into 1 0.094 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.094 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.094 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.095 * [taylor]: Taking taylor expansion of y in x 0.095 * [backup-simplify]: Simplify y into y 0.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [backup-simplify]: Simplify 1.0 into 1.0 0.096 * [backup-simplify]: Simplify (+ 0 1) into 1 0.096 * [backup-simplify]: Simplify (+ (/ 1 y) 1.0) into (+ (/ 1 y) 1.0) 0.096 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 y) 1.0)) into (/ 1 (+ (/ 1 y) 1.0)) 0.096 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ 1 1) into 1 0.097 * [taylor]: Taking taylor expansion of 1.0 in y 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [backup-simplify]: Simplify (+ 1 0) into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (- (/ (/ 1 y) (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))))) into (/ 1 (* (+ (/ 1 y) 1.0) y)) 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of 1.0 in y 0.100 * [backup-simplify]: Simplify 1.0 into 1.0 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.101 * [backup-simplify]: Simplify (* 1 0) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.102 * [backup-simplify]: Simplify (+ (* 1 1) (* 1.0 0)) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 y) 1.0)) (+ (* (/ 1 (+ (/ 1 y) 1.0)) (/ 0 (+ (/ 1 y) 1.0))) (* (/ 1 (* (+ (/ 1 y) 1.0) y)) (/ 0 (+ (/ 1 y) 1.0))))) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.111 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.112 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 y) 1)) (+ (* 1 (* (/ 1 y) (/ 1 (/ 1 x)))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.112 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) 1.0)) into (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) 0.112 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 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 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [backup-simplify]: Simplify x into x 0.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of 1.0 in y 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (- 1) into -1 0.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.115 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.115 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.115 * [taylor]: Taking taylor expansion of -1 in x 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [backup-simplify]: Simplify 1.0 into 1.0 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [backup-simplify]: Simplify (+ 0 1) into 1 0.117 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.117 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.117 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [backup-simplify]: Simplify -1 into -1 0.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [backup-simplify]: Simplify 1.0 into 1.0 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.119 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 y))) into (- 1.0 (/ 1 y)) 0.119 * [backup-simplify]: Simplify (/ 1 (- 1.0 (/ 1 y))) into (/ 1 (- 1.0 (/ 1 y))) 0.119 * [backup-simplify]: Simplify (* -1 (/ 1 (- 1.0 (/ 1 y)))) into (/ -1 (- 1.0 (/ 1 y))) 0.119 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.119 * [taylor]: Taking taylor expansion of -1 in y 0.119 * [backup-simplify]: Simplify -1 into -1 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.119 * [taylor]: Taking taylor expansion of 1.0 in y 0.119 * [backup-simplify]: Simplify 1.0 into 1.0 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify (- 1) into -1 0.120 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.121 * [backup-simplify]: Simplify (/ -1 -1) into 1 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.122 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (- (/ (/ 1 y) (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))))) into (/ 1 (* y (- 1.0 (/ 1 y)))) 0.123 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (* y (- 1.0 (/ 1 y))))) (* 0 (/ 1 (- 1.0 (/ 1 y))))) into (- (/ 1 (* y (- 1.0 (/ 1 y))))) 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.123 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (- 1) into -1 0.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.125 * [backup-simplify]: Simplify (* 0 -1) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (- 0) into 0 0.127 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.127 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.128 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.128 * [backup-simplify]: Simplify (- -1) into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.130 * [backup-simplify]: Simplify (- 0) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 (- 1.0 (/ 1 y))) (+ (* (/ 1 (- 1.0 (/ 1 y))) (/ 0 (- 1.0 (/ 1 y)))) (* (/ 1 (* y (- 1.0 (/ 1 y)))) (/ 0 (- 1.0 (/ 1 y)))))) into 0 0.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (* y (- 1.0 (/ 1 y))))) (* 0 (/ 1 (- 1.0 (/ 1 y)))))) into 0 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.138 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.139 * [backup-simplify]: Simplify (- (- 1.0)) into 1.0 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- y)) 1)) (+ (* 1 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1)) into (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.140 * * * [progress]: simplifying candidates 0.140 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) 1) (/ (+ x y) 1) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (+ y 1.0) (+ (* x x) (- (* y y) (* x y)))) (* (+ y 1.0) (- x y)) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.141 * * [simplify]: Extracting # 0 : cost 0 0.141 * * [simplify]: Extracting # 1 : cost 0 0.142 * * [simplify]: Extracting # 2 : cost 0 0.142 * * [simplify]: Extracting # 3 : cost 0 0.142 * * [simplify]: Extracting # 4 : cost 0 0.142 * * [simplify]: Extracting # 5 : cost 0 0.142 * * [simplify]: Extracting # 6 : cost 0 0.142 * * [simplify]: iteration 0 : 80 enodes (cost 552 ) 0.163 * * [simplify]: Extracting # 0 : cost 0 0.163 * * [simplify]: Extracting # 1 : cost 0 0.163 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: iteration 1 : 198 enodes (cost 526 ) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.253 * * [simplify]: Extracting # 2 : cost 0 0.254 * * [simplify]: Extracting # 3 : cost 0 0.254 * * [simplify]: Extracting # 4 : cost 0 0.255 * * [simplify]: iteration 2 : 555 enodes (cost 492 ) 0.554 * * [simplify]: Extracting # 0 : cost 0 0.556 * * [simplify]: Extracting # 1 : cost 0 0.557 * * [simplify]: Extracting # 2 : cost 0 0.558 * * [simplify]: Extracting # 3 : cost 0 0.560 * * [simplify]: Extracting # 4 : cost 0 0.565 * * [simplify]: iteration 3 : 1313 enodes (cost 492 ) 1.806 * * [simplify]: Extracting # 0 : cost 0 1.811 * * [simplify]: Extracting # 1 : cost 0 1.817 * * [simplify]: Extracting # 2 : cost 0 1.823 * * [simplify]: Extracting # 3 : cost 0 1.829 * * [simplify]: Extracting # 4 : cost 0 1.835 * * [simplify]: iteration 4 : 3872 enodes (cost 492 ) 2.972 * * [simplify]: Extracting # 0 : cost 0 2.981 * * [simplify]: Extracting # 1 : cost 0 2.989 * * [simplify]: Extracting # 2 : cost 0 2.999 * * [simplify]: iteration done: 5000 enodes (cost 492 ) 2.999 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (fma x x (* y (- y x))) (+ y 1.0)) (* (+ y 1.0) (- x y)) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (/ 1.0 y)) (- (+ (/ x y) 1) (/ 1.0 y)) 3.000 * * * [progress]: adding candidates to table 3.090 * * [progress]: iteration 2 / 4 3.090 * * * [progress]: picking best candidate 3.092 * * * * [pick]: Picked # 3.092 * * * [progress]: localizing error 3.104 * * * [progress]: generating rewritten candidates 3.104 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.187 * * * [progress]: generating series expansions 3.188 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.188 * [backup-simplify]: Simplify (/ 1 (/ (+ y 1.0) (+ x y))) into (/ (+ x y) (+ y 1.0)) 3.188 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (y x) around 0 3.188 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 3.188 * [taylor]: Taking taylor expansion of (+ x y) in x 3.188 * [taylor]: Taking taylor expansion of x in x 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [taylor]: Taking taylor expansion of y in x 3.188 * [backup-simplify]: Simplify y into y 3.188 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 3.188 * [taylor]: Taking taylor expansion of y in x 3.188 * [backup-simplify]: Simplify y into y 3.188 * [taylor]: Taking taylor expansion of 1.0 in x 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [backup-simplify]: Simplify (+ 0 y) into y 3.188 * [backup-simplify]: Simplify (+ y 1.0) into (+ y 1.0) 3.188 * [backup-simplify]: Simplify (/ y (+ y 1.0)) into (/ y (+ y 1.0)) 3.188 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 3.188 * [taylor]: Taking taylor expansion of (+ x y) in y 3.188 * [taylor]: Taking taylor expansion of x in y 3.188 * [backup-simplify]: Simplify x into x 3.188 * [taylor]: Taking taylor expansion of y in y 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.188 * [taylor]: Taking taylor expansion of y in y 3.188 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify 1 into 1 3.188 * [taylor]: Taking taylor expansion of 1.0 in y 3.188 * [backup-simplify]: Simplify 1.0 into 1.0 3.188 * [backup-simplify]: Simplify (+ x 0) into x 3.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.189 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 3.189 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 3.189 * [taylor]: Taking taylor expansion of (+ x y) in y 3.189 * [taylor]: Taking taylor expansion of x in y 3.189 * [backup-simplify]: Simplify x into x 3.189 * [taylor]: Taking taylor expansion of y in y 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.189 * [taylor]: Taking taylor expansion of y in y 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [taylor]: Taking taylor expansion of 1.0 in y 3.189 * [backup-simplify]: Simplify 1.0 into 1.0 3.189 * [backup-simplify]: Simplify (+ x 0) into x 3.189 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.189 * [backup-simplify]: Simplify (/ x 1.0) into (* 1.0 x) 3.190 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.190 * [taylor]: Taking taylor expansion of 1.0 in x 3.190 * [backup-simplify]: Simplify 1.0 into 1.0 3.190 * [taylor]: Taking taylor expansion of x in x 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.190 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (+ 0 1) into 1 3.190 * [backup-simplify]: Simplify (+ 1 0) into 1 3.191 * [backup-simplify]: Simplify (- (/ 1 1.0) (+ (* (* 1.0 x) (/ 1 1.0)))) into (- 1.0 (* 1.0 x)) 3.191 * [taylor]: Taking taylor expansion of (- 1.0 (* 1.0 x)) in x 3.191 * [taylor]: Taking taylor expansion of 1.0 in x 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.191 * [taylor]: Taking taylor expansion of 1.0 in x 3.191 * [backup-simplify]: Simplify 1.0 into 1.0 3.191 * [taylor]: Taking taylor expansion of x in x 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.192 * [backup-simplify]: Simplify (- 0) into 0 3.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.192 * [backup-simplify]: Simplify 1.0 into 1.0 3.196 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 3.196 * [backup-simplify]: Simplify 1.0 into 1.0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.197 * [backup-simplify]: Simplify (+ 0 0) into 0 3.198 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 x) (/ 0 1.0)) (* (- 1.0 (* 1.0 x)) (/ 1 1.0)))) into (- (* 1.0 x) 1.0) 3.198 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 1.0) in x 3.198 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 3.198 * [taylor]: Taking taylor expansion of 1.0 in x 3.198 * [backup-simplify]: Simplify 1.0 into 1.0 3.198 * [taylor]: Taking taylor expansion of x in x 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify 1 into 1 3.198 * [taylor]: Taking taylor expansion of 1.0 in x 3.198 * [backup-simplify]: Simplify 1.0 into 1.0 3.198 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.198 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.199 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.199 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)