19.514 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.016 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.016 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.016 * * [simplify]: Extracting # 2 : cost 5 inf + 0 0.016 * * [simplify]: Extracting # 3 : cost 2 inf + 43 0.016 * * [simplify]: Extracting # 4 : cost 0 inf + 207 0.016 * * [simplify]: iteration 0 : 5 enodes (cost 122 ) 0.018 * * [simplify]: Extracting # 0 : cost 0 inf + 207 0.018 * * [simplify]: Extracting # 1 : cost 1 inf + 207 0.018 * * [simplify]: Extracting # 2 : cost 0 inf + 208 0.018 * * [simplify]: iteration 1 : 8 enodes (cost 122 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 inf + 208 0.019 * * [simplify]: Extracting # 1 : cost 1 inf + 208 0.019 * * [simplify]: Extracting # 2 : cost 0 inf + 291 0.019 * * [simplify]: iteration 2 : 11 enodes (cost 122 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 inf + 291 0.021 * * [simplify]: iteration complete: 11 enodes (cost 122 ) 0.021 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.061 * * * [progress]: generating series expansions 0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.062 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.062 * [taylor]: Taking taylor expansion of 1/2 in y 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 0.062 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.062 * [taylor]: Taking taylor expansion of (+ x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [backup-simplify]: Simplify x into x 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (+ x 0) into x 0.062 * [backup-simplify]: Simplify (/ x 1) into x 0.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.062 * [taylor]: Taking taylor expansion of 1/2 in x 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 0.062 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.062 * [taylor]: Taking taylor expansion of (+ x y) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (+ 0 y) into y 0.062 * [backup-simplify]: Simplify (/ y y) into 1 0.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.062 * [taylor]: Taking taylor expansion of 1/2 in x 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 0.062 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.062 * [taylor]: Taking taylor expansion of (+ x y) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (+ 0 y) into y 0.062 * [backup-simplify]: Simplify (/ y y) into 1 0.063 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [backup-simplify]: Simplify (+ 1 0) into 1 0.063 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of 1/2 in y 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.070 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.070 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [backup-simplify]: Simplify x into x 0.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.071 * [taylor]: Taking taylor expansion of 1/2 in x 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [backup-simplify]: Simplify y into y 0.071 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.072 * [taylor]: Taking taylor expansion of 1/2 in x 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [backup-simplify]: Simplify y into y 0.072 * [backup-simplify]: Simplify (+ 1 0) into 1 0.072 * [backup-simplify]: Simplify (* 1 y) into y 0.072 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.072 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.074 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.074 * [taylor]: Taking taylor expansion of 1/2 in y 0.074 * [backup-simplify]: Simplify 1/2 into 1/2 0.074 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.076 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) 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 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.083 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.083 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.083 * [taylor]: Taking taylor expansion of 1/2 in y 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.083 * [taylor]: Taking taylor expansion of 1/2 in x 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.084 * [taylor]: Taking taylor expansion of 1/2 in x 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [backup-simplify]: Simplify y into y 0.084 * [backup-simplify]: Simplify (+ 1 0) into 1 0.084 * [backup-simplify]: Simplify (* 1 y) into y 0.084 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.084 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.084 * [taylor]: Taking taylor expansion of 1/2 in y 0.084 * [backup-simplify]: Simplify 1/2 into 1/2 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.086 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.086 * [taylor]: Taking taylor expansion of 1/2 in y 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 1/2 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 1/2 into 1/2 0.089 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.099 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (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 75 inf + 0 0.104 * * [simplify]: Extracting # 1 : cost 104 inf + 0 0.104 * * [simplify]: Extracting # 2 : cost 101 inf + 563 0.105 * * [simplify]: Extracting # 3 : cost 61 inf + 5605 0.108 * * [simplify]: Extracting # 4 : cost 13 inf + 14134 0.111 * * [simplify]: Extracting # 5 : cost 0 inf + 17425 0.114 * * [simplify]: iteration 0 : 114 enodes (cost 21852 ) 0.158 * * [simplify]: Extracting # 0 : cost 0 inf + 17425 0.160 * * [simplify]: Extracting # 1 : cost 48 inf + 16665 0.162 * * [simplify]: Extracting # 2 : cost 2 inf + 23442 0.165 * * [simplify]: Extracting # 3 : cost 1 inf + 23323 0.167 * * [simplify]: Extracting # 4 : cost 0 inf + 23535 0.170 * * [simplify]: iteration 1 : 239 enodes (cost 20144 ) 0.257 * * [simplify]: Extracting # 0 : cost 0 inf + 23535 0.264 * * [simplify]: Extracting # 1 : cost 136 inf + 23270 0.276 * * [simplify]: Extracting # 2 : cost 19 inf + 40525 0.283 * * [simplify]: Extracting # 3 : cost 0 inf + 42989 0.290 * * [simplify]: iteration 2 : 685 enodes (cost 19985 ) 0.877 * * [simplify]: Extracting # 0 : cost 0 inf + 42989 0.892 * * [simplify]: Extracting # 1 : cost 754 inf + 42107 0.926 * * [simplify]: Extracting # 2 : cost 41 inf + 138632 0.981 * * [simplify]: Extracting # 3 : cost 3 inf + 142764 1.019 * * [simplify]: Extracting # 4 : cost 0 inf + 143400 1.062 * * [simplify]: iteration 3 : 2688 enodes (cost 19985 ) 1.878 * * [simplify]: Extracting # 0 : cost 0 inf + 143400 1.966 * * [simplify]: Extracting # 1 : cost 844 inf + 141834 2.057 * * [simplify]: Extracting # 2 : cost 0 inf + 289335 2.157 * * [simplify]: Extracting # 3 : cost 0 inf + 289295 2.295 * * [simplify]: iteration complete: 5042 enodes (cost 19985 ) 2.296 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x 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)) (* -2 y) (* (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (cbrt (+ x 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 y)) (/ (cbrt (+ x 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))) (/ (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)) 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 (+ y x)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ y x)) (/ (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 (+ y x)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ y x)) (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 (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) 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) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 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) (/ (+ y x) 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) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 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) (/ (+ y x) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ y x) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ y x) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ y x) (+ (* y (* y y)) (* y (* y y)))) (/ (+ y x) 0) (* (+ y y) (fma x x (* y (- y x)))) (* (+ y y) (- x y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 2.303 * * * [progress]: adding candidates to table 2.614 * * [progress]: iteration 2 / 4 2.615 * * * [progress]: picking best candidate 2.618 * * * * [pick]: Picked # 2.618 * * * [progress]: localizing error 2.630 * * * [progress]: generating rewritten candidates 2.630 * * * [progress]: generating series expansions 2.630 * * * [progress]: simplifying candidates 2.630 * [simplify]: Simplifying: 2.630 * * [simplify]: Extracting # 0 : cost 0 inf + 0 2.630 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.630 * * [simplify]: Extracting # 0 : cost 0 inf + 0 2.630 * * [simplify]: iteration complete: 0 enodes (cost 0 ) 2.630 * [simplify]: Simplified to: 2.630 * * * [progress]: adding candidates to table 2.631 * [progress]: [Phase 3 of 3] Extracting. 2.636 * [simplify]: Simplifying: (fma 1/2 (/ x y) 1/2) 2.636 * * [simplify]: Extracting # 0 : cost 1 inf + 0 2.636 * * [simplify]: Extracting # 1 : cost 3 inf + 0 2.636 * * [simplify]: Extracting # 2 : cost 4 inf + 1 2.636 * * [simplify]: Extracting # 3 : cost 0 inf + 143 2.636 * * [simplify]: iteration 0 : 5 enodes (cost 98 ) 2.637 * * [simplify]: Extracting # 0 : cost 0 inf + 143 2.637 * * [simplify]: iteration complete: 5 enodes (cost 98 ) 2.637 * [simplify]: Simplified to: (fma 1/2 (/ x y) 1/2) 3.544 * [regime-testing]: Baseline error score: 0.019038055034237063 3.552 * [regime-testing]: Oracle error score: 0.019038055034237063 3.552 * [regime-testing]: End program error score: 0.019038055034237063 3.663 * [regime-testing]: Target error score: 0.019038055034237063