29.076 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying: (/ (+ x y) (+ y 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]: iteration 0 : 5 enodes (cost 7 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: iteration 2 : 11 enodes (cost 7 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.025 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.068 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.068 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.068 * [taylor]: Taking taylor expansion of 1/2 in y 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 0.068 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.068 * [taylor]: Taking taylor expansion of (+ x y) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [backup-simplify]: Simplify x into x 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (+ x 0) into x 0.068 * [backup-simplify]: Simplify (/ x 1) into x 0.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.068 * [taylor]: Taking taylor expansion of 1/2 in x 0.068 * [backup-simplify]: Simplify 1/2 into 1/2 0.068 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.068 * [taylor]: Taking taylor expansion of (+ x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [backup-simplify]: Simplify (+ 0 y) into y 0.069 * [backup-simplify]: Simplify (/ y y) into 1 0.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.069 * [taylor]: Taking taylor expansion of 1/2 in x 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.069 * [taylor]: Taking taylor expansion of (+ x y) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [backup-simplify]: Simplify y into y 0.069 * [backup-simplify]: Simplify (+ 0 y) into y 0.069 * [backup-simplify]: Simplify (/ y y) into 1 0.069 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.069 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.070 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.070 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.070 * [backup-simplify]: Simplify 1/2 into 1/2 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.077 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.077 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.077 * [taylor]: Taking taylor expansion of 1/2 in y 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 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 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.078 * [taylor]: Taking taylor expansion of 1/2 in x 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.078 * [taylor]: Taking taylor expansion of 1/2 in x 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [backup-simplify]: Simplify y into y 0.078 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (+ 0 1) into 1 0.079 * [backup-simplify]: Simplify (* 1 y) into y 0.079 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.079 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.079 * [taylor]: Taking taylor expansion of 1/2 in y 0.079 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.080 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.080 * [taylor]: Taking taylor expansion of 1/2 in y 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.080 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.088 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.088 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.089 * [taylor]: Taking taylor expansion of 1/2 in y 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [backup-simplify]: Simplify x into x 0.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.089 * [taylor]: Taking taylor expansion of 1/2 in x 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.090 * [taylor]: Taking taylor expansion of 1/2 in x 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (+ 0 1) into 1 0.090 * [backup-simplify]: Simplify (* 1 y) into y 0.090 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.090 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.090 * [taylor]: Taking taylor expansion of 1/2 in y 0.090 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.092 * [taylor]: Taking taylor expansion of 1/2 in y 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.100 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying: (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.103 * * [simplify]: Extracting # 0 : cost 0 0.103 * * [simplify]: Extracting # 1 : cost 0 0.103 * * [simplify]: Extracting # 2 : cost 0 0.103 * * [simplify]: Extracting # 3 : cost 0 0.103 * * [simplify]: Extracting # 4 : cost 0 0.103 * * [simplify]: Extracting # 5 : cost 0 0.103 * * [simplify]: iteration 0 : 112 enodes (cost 1073 ) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.128 * * [simplify]: Extracting # 3 : cost 0 0.128 * * [simplify]: Extracting # 4 : cost 0 0.128 * * [simplify]: iteration 1 : 226 enodes (cost 974 ) 0.181 * * [simplify]: Extracting # 0 : cost 0 0.182 * * [simplify]: Extracting # 1 : cost 0 0.183 * * [simplify]: Extracting # 2 : cost 0 0.183 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: iteration 2 : 592 enodes (cost 943 ) 0.494 * * [simplify]: Extracting # 0 : cost 0 0.497 * * [simplify]: Extracting # 1 : cost 0 0.499 * * [simplify]: Extracting # 2 : cost 0 0.502 * * [simplify]: Extracting # 3 : cost 0 0.504 * * [simplify]: iteration 3 : 1531 enodes (cost 943 ) 2.048 * * [simplify]: Extracting # 0 : cost 0 2.056 * * [simplify]: Extracting # 1 : cost 0 2.063 * * [simplify]: Extracting # 2 : cost 0 2.069 * * [simplify]: Extracting # 3 : cost 0 2.076 * * [simplify]: Extracting # 4 : cost 0 2.086 * * [simplify]: iteration done: 5000 enodes (cost 942 ) 2.087 * [simplify]: Simplified to: (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (sqrt (exp (/ (+ x y) y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* 2 (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* 2 (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* 2 (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (* (/ 2 (+ x y)) y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (+ (* y (- y x)) (* x x)) (+ y y)) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 2.088 * * * [progress]: adding candidates to table 2.233 * * [progress]: iteration 2 / 4 2.233 * * * [progress]: picking best candidate 2.234 * * * * [pick]: Picked # 2.234 * * * [progress]: localizing error 2.242 * * * [progress]: generating rewritten candidates 2.242 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.266 * * * [progress]: generating series expansions 2.266 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.267 * [backup-simplify]: Simplify (* 1/2 (/ x y)) into (* 1/2 (/ x y)) 2.267 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.267 * [taylor]: Taking taylor expansion of 1/2 in y 2.267 * [backup-simplify]: Simplify 1/2 into 1/2 2.267 * [taylor]: Taking taylor expansion of (/ x y) in y 2.267 * [taylor]: Taking taylor expansion of x in y 2.267 * [backup-simplify]: Simplify x into x 2.267 * [taylor]: Taking taylor expansion of y in y 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (/ x 1) into x 2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.267 * [taylor]: Taking taylor expansion of 1/2 in x 2.267 * [backup-simplify]: Simplify 1/2 into 1/2 2.267 * [taylor]: Taking taylor expansion of (/ x y) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [taylor]: Taking taylor expansion of y in x 2.267 * [backup-simplify]: Simplify y into y 2.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.267 * [taylor]: Taking taylor expansion of 1/2 in x 2.267 * [backup-simplify]: Simplify 1/2 into 1/2 2.267 * [taylor]: Taking taylor expansion of (/ x y) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [taylor]: Taking taylor expansion of y in x 2.267 * [backup-simplify]: Simplify y into y 2.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.268 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 2.268 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.268 * [taylor]: Taking taylor expansion of 1/2 in y 2.268 * [backup-simplify]: Simplify 1/2 into 1/2 2.268 * [taylor]: Taking taylor expansion of y in y 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.269 * [backup-simplify]: Simplify 1/2 into 1/2 2.269 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 2.269 * [taylor]: Taking taylor expansion of 0 in y 2.269 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.271 * [taylor]: Taking taylor expansion of 0 in y 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.273 * [taylor]: Taking taylor expansion of 0 in y 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) x)) into (* 1/2 (/ x y)) 2.275 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 x) (/ 1 y))) into (* 1/2 (/ y x)) 2.275 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.275 * [taylor]: Taking taylor expansion of 1/2 in y 2.275 * [backup-simplify]: Simplify 1/2 into 1/2 2.275 * [taylor]: Taking taylor expansion of (/ y x) in y 2.275 * [taylor]: Taking taylor expansion of y in y 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of x in y 2.275 * [backup-simplify]: Simplify x into x 2.275 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.275 * [taylor]: Taking taylor expansion of 1/2 in x 2.275 * [backup-simplify]: Simplify 1/2 into 1/2 2.275 * [taylor]: Taking taylor expansion of (/ y x) in x 2.275 * [taylor]: Taking taylor expansion of y in x 2.275 * [backup-simplify]: Simplify y into y 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ y 1) into y 2.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.275 * [taylor]: Taking taylor expansion of 1/2 in x 2.275 * [backup-simplify]: Simplify 1/2 into 1/2 2.275 * [taylor]: Taking taylor expansion of (/ y x) in x 2.275 * [taylor]: Taking taylor expansion of y in x 2.275 * [backup-simplify]: Simplify y into y 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ y 1) into y 2.276 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.276 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.276 * [taylor]: Taking taylor expansion of 1/2 in y 2.276 * [backup-simplify]: Simplify 1/2 into 1/2 2.276 * [taylor]: Taking taylor expansion of y in y 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.277 * [backup-simplify]: Simplify 1/2 into 1/2 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.278 * [taylor]: Taking taylor expansion of 0 in y 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.281 * [taylor]: Taking taylor expansion of 0 in y 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.284 * [taylor]: Taking taylor expansion of 0 in y 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) into (* 1/2 (/ x y)) 2.285 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* 1/2 (/ y x)) 2.285 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 2.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.285 * [taylor]: Taking taylor expansion of 1/2 in y 2.285 * [backup-simplify]: Simplify 1/2 into 1/2 2.285 * [taylor]: Taking taylor expansion of (/ y x) in y 2.285 * [taylor]: Taking taylor expansion of y in y 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [taylor]: Taking taylor expansion of x in y 2.285 * [backup-simplify]: Simplify x into x 2.285 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.285 * [taylor]: Taking taylor expansion of 1/2 in x 2.285 * [backup-simplify]: Simplify 1/2 into 1/2 2.285 * [taylor]: Taking taylor expansion of (/ y x) in x 2.285 * [taylor]: Taking taylor expansion of y in x 2.285 * [backup-simplify]: Simplify y into y 2.285 * [taylor]: Taking taylor expansion of x in x 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (/ y 1) into y 2.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.285 * [taylor]: Taking taylor expansion of 1/2 in x 2.285 * [backup-simplify]: Simplify 1/2 into 1/2 2.285 * [taylor]: Taking taylor expansion of (/ y x) in x 2.285 * [taylor]: Taking taylor expansion of y in x 2.285 * [backup-simplify]: Simplify y into y 2.285 * [taylor]: Taking taylor expansion of x in x 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (/ y 1) into y 2.285 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.285 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.286 * [taylor]: Taking taylor expansion of 1/2 in y 2.286 * [backup-simplify]: Simplify 1/2 into 1/2 2.286 * [taylor]: Taking taylor expansion of y in y 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.286 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.286 * [backup-simplify]: Simplify 1/2 into 1/2 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.287 * [taylor]: Taking taylor expansion of 0 in y 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.290 * [taylor]: Taking taylor expansion of 0 in y 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.291 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in y 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) into (* 1/2 (/ x y)) 2.294 * * * [progress]: simplifying candidates 2.295 * [simplify]: Simplifying: (* 1/2 (/ x y)) (+ (log 1/2) (- (log x) (log y))) (+ (log 1/2) (log (/ x y))) (log (* 1/2 (/ x y))) (exp (* 1/2 (/ x y))) (* (* (* 1/2 1/2) 1/2) (/ (* (* x x) x) (* (* y y) y))) (* (* (* 1/2 1/2) 1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (* (* (* 1/2 (/ x y)) (* 1/2 (/ x y))) (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) 1)) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (/ (sqrt x) 1)) (* 1/2 (/ 1 (* (cbrt y) (cbrt y)))) (* 1/2 (/ 1 (sqrt y))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 2.295 * * [simplify]: Extracting # 0 : cost 0 2.296 * * [simplify]: Extracting # 1 : cost 0 2.296 * * [simplify]: Extracting # 2 : cost 0 2.296 * * [simplify]: Extracting # 3 : cost 0 2.296 * * [simplify]: Extracting # 4 : cost 0 2.296 * * [simplify]: Extracting # 5 : cost 0 2.296 * * [simplify]: Extracting # 6 : cost 0 2.296 * * [simplify]: Extracting # 7 : cost 0 2.296 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 2.324 * * [simplify]: Extracting # 0 : cost 0 2.324 * * [simplify]: Extracting # 1 : cost 0 2.324 * * [simplify]: Extracting # 2 : cost 0 2.325 * * [simplify]: iteration 1 : 162 enodes (cost 250 ) 2.382 * * [simplify]: Extracting # 0 : cost 0 2.382 * * [simplify]: Extracting # 1 : cost 0 2.383 * * [simplify]: Extracting # 2 : cost 0 2.384 * * [simplify]: Extracting # 3 : cost 0 2.384 * * [simplify]: Extracting # 4 : cost 0 2.385 * * [simplify]: iteration 2 : 426 enodes (cost 230 ) 2.612 * * [simplify]: Extracting # 0 : cost 0 2.615 * * [simplify]: Extracting # 1 : cost 0 2.616 * * [simplify]: Extracting # 2 : cost 0 2.618 * * [simplify]: Extracting # 3 : cost 0 2.619 * * [simplify]: Extracting # 4 : cost 0 2.621 * * [simplify]: iteration 3 : 1067 enodes (cost 229 ) 3.699 * * [simplify]: Extracting # 0 : cost 0 3.703 * * [simplify]: Extracting # 1 : cost 0 3.705 * * [simplify]: Extracting # 2 : cost 0 3.706 * * [simplify]: Extracting # 3 : cost 0 3.708 * * [simplify]: Extracting # 4 : cost 0 3.710 * * [simplify]: iteration 4 : 2498 enodes (cost 229 ) 7.748 * * [simplify]: Extracting # 0 : cost 0 7.758 * * [simplify]: Extracting # 1 : cost 0 7.765 * * [simplify]: Extracting # 2 : cost 0 7.770 * * [simplify]: Extracting # 3 : cost 0 7.774 * * [simplify]: Extracting # 4 : cost 0 7.782 * * [simplify]: iteration done: 5000 enodes (cost 229 ) 7.782 * [simplify]: Simplified to: (* 1/2 (/ x y)) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (log (* 1/2 (/ x y))) (sqrt (exp (/ x y))) (pow (* 1/2 (/ x y)) 3) (pow (* 1/2 (/ x y)) 3) (* (cbrt (* 1/2 (/ x y))) (cbrt (* 1/2 (/ x y)))) (cbrt (* 1/2 (/ x y))) (pow (* 1/2 (/ x y)) 3) (sqrt (* 1/2 (/ x y))) (sqrt (* 1/2 (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (sqrt (/ x y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* (sqrt 1/2) (/ (sqrt x) (sqrt y))) (* 1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (* 1/2 (sqrt (/ x y))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* 1/2 (* (cbrt x) (cbrt x))) (* 1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* 1/2 (/ (sqrt x) (sqrt y))) (* 1/2 (sqrt x)) (/ 1/2 (* (cbrt y) (cbrt y))) (/ 1/2 (sqrt y)) 1/2 1/2 (* 1/2 x) (* (cbrt 1/2) (/ x y)) (* (sqrt 1/2) (/ x y)) (* 1/2 (/ x y)) (* 1/2 x) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 7.782 * * * [progress]: adding candidates to table 7.859 * [progress]: [Phase 3 of 3] Extracting. 7.861 * [simplify]: Simplifying: (+ (* 1/2 (/ x y)) 1/2) 7.861 * * [simplify]: Extracting # 0 : cost 0 7.861 * * [simplify]: Extracting # 1 : cost 0 7.861 * * [simplify]: Extracting # 2 : cost 0 7.861 * * [simplify]: Extracting # 3 : cost 0 7.861 * * [simplify]: Extracting # 4 : cost 0 7.861 * * [simplify]: Extracting # 5 : cost 0 7.861 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 7.862 * * [simplify]: Extracting # 0 : cost 0 7.862 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 7.862 * * [simplify]: Extracting # 0 : cost 0 7.862 * * [simplify]: iteration done: 8 enodes (cost 7 ) 7.862 * [simplify]: Simplified to: (+ (* 1/2 (/ x y)) 1/2) 8.789 * [regime-testing]: Baseline error score: 0.009376172021502687 8.792 * [regime-testing]: Oracle error score: 0.009376172021502687 8.792 * [regime-testing]: End program error score: 0.009376172021502687 8.820 * [regime-testing]: Target error score: 0.009376172021502687