16.732 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.022 * * [simplify]: iteration 0: 5 enodes 0.023 * * [simplify]: iteration 1: 8 enodes 0.025 * * [simplify]: iteration 2: 11 enodes 0.026 * * [simplify]: iteration 3: 13 enodes 0.028 * * [simplify]: iteration complete: 13 enodes 0.028 * * [simplify]: Extracting #0: cost 1 inf + 0 0.028 * * [simplify]: Extracting #1: cost 7 inf + 0 0.028 * * [simplify]: Extracting #2: cost 5 inf + 5 0.028 * * [simplify]: Extracting #3: cost 4 inf + 6 0.028 * * [simplify]: Extracting #4: cost 0 inf + 26 0.028 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.066 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.066 * [taylor]: Taking taylor expansion of 1/2 in y 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.066 * [taylor]: Taking taylor expansion of (+ x y) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.067 * [backup-simplify]: Simplify x into x 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ x 0) into x 0.067 * [backup-simplify]: Simplify (/ x 1) into x 0.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.067 * [taylor]: Taking taylor expansion of 1/2 in x 0.067 * [backup-simplify]: Simplify 1/2 into 1/2 0.067 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.067 * [taylor]: Taking taylor expansion of (+ x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (/ y y) into 1 0.067 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.067 * [taylor]: Taking taylor expansion of 1/2 in x 0.067 * [backup-simplify]: Simplify 1/2 into 1/2 0.067 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.067 * [taylor]: Taking taylor expansion of (+ x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (/ y y) into 1 0.076 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.076 * [taylor]: Taking taylor expansion of 1/2 in y 0.076 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.077 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 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) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [backup-simplify]: Simplify 1/2 into 1/2 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.084 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.084 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [backup-simplify]: Simplify x into x 0.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [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 1) into 1 0.085 * [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 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.085 * [taylor]: Taking taylor expansion of 1/2 in x 0.085 * [backup-simplify]: Simplify 1/2 into 1/2 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.086 * [taylor]: Taking taylor expansion of 1/2 in x 0.086 * [backup-simplify]: Simplify 1/2 into 1/2 0.086 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.087 * [backup-simplify]: Simplify (* 1 y) into y 0.087 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.087 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.087 * [taylor]: Taking taylor expansion of 1/2 in y 0.087 * [backup-simplify]: Simplify 1/2 into 1/2 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.089 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.089 * [taylor]: Taking taylor expansion of 1/2 in y 0.089 * [backup-simplify]: Simplify 1/2 into 1/2 0.089 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.091 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.091 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.095 * [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 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.097 * [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 0.098 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.098 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.098 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.098 * [taylor]: Taking taylor expansion of 1/2 in y 0.098 * [backup-simplify]: Simplify 1/2 into 1/2 0.098 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [backup-simplify]: Simplify x into x 0.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.099 * [taylor]: Taking taylor expansion of 1/2 in x 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.099 * [taylor]: Taking taylor expansion of 1/2 in x 0.099 * [backup-simplify]: Simplify 1/2 into 1/2 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 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 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [backup-simplify]: Simplify (* 1 y) into y 0.100 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.100 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.101 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [backup-simplify]: Simplify 1/2 into 1/2 0.102 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.104 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.104 * [backup-simplify]: Simplify 1/2 into 1/2 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.111 * * * [progress]: simplifying candidates 0.112 * [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) 0.113 * * [simplify]: iteration 0: 114 enodes 0.138 * * [simplify]: iteration 1: 241 enodes 0.199 * * [simplify]: iteration 2: 790 enodes 0.868 * * [simplify]: iteration complete: 5000 enodes 0.868 * * [simplify]: Extracting #0: cost 69 inf + 0 0.869 * * [simplify]: Extracting #1: cost 623 inf + 2 0.882 * * [simplify]: Extracting #2: cost 1422 inf + 32 0.894 * * [simplify]: Extracting #3: cost 1401 inf + 2934 0.909 * * [simplify]: Extracting #4: cost 184 inf + 13287 0.923 * * [simplify]: Extracting #5: cost 3 inf + 15162 0.937 * * [simplify]: Extracting #6: cost 0 inf + 15160 0.949 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) y) 2)) (log1p (/ (/ (+ x y) y) 2)) (log (/ (/ (+ x y) y) 2)) (log (/ (/ (+ x y) y) 2)) (exp (/ (/ (+ x y) y) 2)) (pow (/ (/ (+ x y) y) 2) 3) (* (cbrt (/ (/ (+ x y) y) 2)) (cbrt (/ (/ (+ x y) y) 2))) (cbrt (/ (/ (+ x y) y) 2)) (pow (/ (/ (+ x y) y) 2) 3) (sqrt (/ (/ (+ x y) y) 2)) (sqrt (/ (/ (+ x y) y) 2)) (- (- x) y) (* -2 y) (/ (cbrt (+ x y)) (/ (* (cbrt (* 2 y)) (cbrt (* 2 y))) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (cbrt (* 2 y))) (/ (cbrt (+ x y)) (/ (sqrt (* 2 y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (sqrt (* 2 y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* y 2)) (/ (cbrt (+ x y)) (/ (* (cbrt y) (cbrt y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2 (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (* y 2)) (* (/ (cbrt (+ x y)) (cbrt y)) (cbrt (+ x y))) (/ (/ (cbrt (+ x y)) (cbrt y)) (* 2 (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* 2 (sqrt y))) (/ (cbrt (+ x y)) (/ y (cbrt (+ x y)))) (/ (cbrt (+ x y)) 2) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (/ (sqrt (+ x y)) (cbrt (* 2 y))) (cbrt (* 2 y))) (/ (sqrt (+ x y)) (cbrt (* 2 y))) (/ (sqrt (+ x y)) (sqrt (* 2 y))) (/ (sqrt (+ x y)) (sqrt (* 2 y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (* y 2)) (/ (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 2)) (/ (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 (* 2 y))) (cbrt (* 2 y))) (/ (+ x y) (cbrt (* 2 y))) (/ 1 (sqrt (* 2 y))) (/ (+ x y) (sqrt (* 2 y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (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 (* 2 y))) (cbrt (* 2 y))) (/ (+ x y) (cbrt (* 2 y))) (/ 1 (sqrt (* 2 y))) (/ (+ x y) (sqrt (* 2 y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (* 2 (sqrt y))) 1 (/ (/ (+ x y) y) 2) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (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) (/ y (/ (+ x y) 2)) (/ (+ x y) (* (cbrt (* 2 y)) (cbrt (* 2 y)))) (/ (+ x y) (sqrt (* 2 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 (/ (cbrt (+ x y)) 2)) (/ y (/ (sqrt (+ x y)) 2)) (/ y (/ (+ x y) 2)) (/ y (/ (+ x y) 2)) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* (* 2 y) (fma x x (* (- y x) y))) (* (- x y) (+ y y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 0.950 * * * [progress]: adding candidates to table 1.230 * * [progress]: iteration 2 / 4 1.230 * * * [progress]: picking best candidate 1.233 * * * * [pick]: Picked # 1.233 * * * [progress]: localizing error 1.239 * * * [progress]: generating rewritten candidates 1.239 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.240 * * * [progress]: generating series expansions 1.240 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.240 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 1.240 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 1.240 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 1.240 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.240 * [taylor]: Taking taylor expansion of 1/2 in y 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of (/ x y) in y 1.240 * [taylor]: Taking taylor expansion of x in y 1.240 * [backup-simplify]: Simplify x into x 1.240 * [taylor]: Taking taylor expansion of y in y 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [backup-simplify]: Simplify (/ x 1) into x 1.240 * [taylor]: Taking taylor expansion of 1/2 in y 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 1.240 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.240 * [taylor]: Taking taylor expansion of 1/2 in x 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of (/ x y) in x 1.240 * [taylor]: Taking taylor expansion of x in x 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 1 into 1 1.240 * [taylor]: Taking taylor expansion of y in x 1.240 * [backup-simplify]: Simplify y into y 1.240 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.240 * [taylor]: Taking taylor expansion of 1/2 in x 1.240 * [backup-simplify]: Simplify 1/2 into 1/2 1.240 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 1.241 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.241 * [taylor]: Taking taylor expansion of 1/2 in x 1.241 * [backup-simplify]: Simplify 1/2 into 1/2 1.241 * [taylor]: Taking taylor expansion of (/ x y) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [taylor]: Taking taylor expansion of y in x 1.241 * [backup-simplify]: Simplify y into y 1.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.241 * [taylor]: Taking taylor expansion of 1/2 in x 1.241 * [backup-simplify]: Simplify 1/2 into 1/2 1.241 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.241 * [taylor]: Taking taylor expansion of 1/2 in y 1.241 * [backup-simplify]: Simplify 1/2 into 1/2 1.242 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.242 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.242 * [taylor]: Taking taylor expansion of 1/2 in y 1.242 * [backup-simplify]: Simplify 1/2 into 1/2 1.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.242 * [taylor]: Taking taylor expansion of y in y 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (/ 1 1) into 1 1.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.242 * [backup-simplify]: Simplify 1/2 into 1/2 1.242 * [backup-simplify]: Simplify 1/2 into 1/2 1.243 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.243 * [taylor]: Taking taylor expansion of 0 in y 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.245 * [backup-simplify]: Simplify (+ 0 0) into 0 1.245 * [taylor]: Taking taylor expansion of 0 in y 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.248 * [backup-simplify]: Simplify (+ 0 0) into 0 1.248 * [taylor]: Taking taylor expansion of 0 in y 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 1.248 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 1.248 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 1.248 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 1.249 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.249 * [taylor]: Taking taylor expansion of 1/2 in y 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of (/ y x) in y 1.249 * [taylor]: Taking taylor expansion of y in y 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [taylor]: Taking taylor expansion of x in y 1.249 * [backup-simplify]: Simplify x into x 1.249 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.249 * [taylor]: Taking taylor expansion of 1/2 in y 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.249 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.249 * [taylor]: Taking taylor expansion of 1/2 in x 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of (/ y x) in x 1.249 * [taylor]: Taking taylor expansion of y in x 1.249 * [backup-simplify]: Simplify y into y 1.249 * [taylor]: Taking taylor expansion of x in x 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 1 into 1 1.249 * [backup-simplify]: Simplify (/ y 1) into y 1.249 * [taylor]: Taking taylor expansion of 1/2 in x 1.249 * [backup-simplify]: Simplify 1/2 into 1/2 1.249 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.250 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.250 * [taylor]: Taking taylor expansion of 1/2 in x 1.250 * [backup-simplify]: Simplify 1/2 into 1/2 1.250 * [taylor]: Taking taylor expansion of (/ y x) in x 1.250 * [taylor]: Taking taylor expansion of y in x 1.250 * [backup-simplify]: Simplify y into y 1.250 * [taylor]: Taking taylor expansion of x in x 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ y 1) into y 1.250 * [taylor]: Taking taylor expansion of 1/2 in x 1.250 * [backup-simplify]: Simplify 1/2 into 1/2 1.250 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.250 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 1.250 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.250 * [taylor]: Taking taylor expansion of 1/2 in y 1.250 * [backup-simplify]: Simplify 1/2 into 1/2 1.250 * [taylor]: Taking taylor expansion of y in y 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.253 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.253 * [taylor]: Taking taylor expansion of 1/2 in y 1.253 * [backup-simplify]: Simplify 1/2 into 1/2 1.253 * [backup-simplify]: Simplify 1/2 into 1/2 1.254 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.254 * [backup-simplify]: Simplify 1/2 into 1/2 1.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [taylor]: Taking taylor expansion of 0 in y 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 1.263 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 1.263 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 1.263 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 1.263 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.263 * [taylor]: Taking taylor expansion of 1/2 in y 1.263 * [backup-simplify]: Simplify 1/2 into 1/2 1.263 * [taylor]: Taking taylor expansion of (/ y x) in y 1.263 * [taylor]: Taking taylor expansion of y in y 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [taylor]: Taking taylor expansion of x in y 1.263 * [backup-simplify]: Simplify x into x 1.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.263 * [taylor]: Taking taylor expansion of 1/2 in y 1.263 * [backup-simplify]: Simplify 1/2 into 1/2 1.263 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.263 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.263 * [taylor]: Taking taylor expansion of 1/2 in x 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [taylor]: Taking taylor expansion of (/ y x) in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.264 * [backup-simplify]: Simplify y into y 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (/ y 1) into y 1.264 * [taylor]: Taking taylor expansion of 1/2 in x 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.264 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.264 * [taylor]: Taking taylor expansion of 1/2 in x 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [taylor]: Taking taylor expansion of (/ y x) in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.264 * [backup-simplify]: Simplify y into y 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [backup-simplify]: Simplify (/ y 1) into y 1.264 * [taylor]: Taking taylor expansion of 1/2 in x 1.264 * [backup-simplify]: Simplify 1/2 into 1/2 1.264 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.264 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 1.264 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.265 * [taylor]: Taking taylor expansion of 1/2 in y 1.265 * [backup-simplify]: Simplify 1/2 into 1/2 1.265 * [taylor]: Taking taylor expansion of y in y 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [backup-simplify]: Simplify 1 into 1 1.265 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.265 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.268 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.268 * [taylor]: Taking taylor expansion of 1/2 in y 1.268 * [backup-simplify]: Simplify 1/2 into 1/2 1.268 * [backup-simplify]: Simplify 1/2 into 1/2 1.269 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.269 * [backup-simplify]: Simplify 1/2 into 1/2 1.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.272 * [backup-simplify]: Simplify (+ 0 0) into 0 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.273 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.277 * [backup-simplify]: Simplify (+ 0 0) into 0 1.277 * [taylor]: Taking taylor expansion of 0 in y 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 1.278 * * * [progress]: simplifying candidates 1.278 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 1.279 * * [simplify]: iteration 0: 16 enodes 1.283 * * [simplify]: iteration 1: 24 enodes 1.292 * * [simplify]: iteration 2: 81 enodes 1.331 * * [simplify]: iteration 3: 361 enodes 2.093 * * [simplify]: iteration 4: 2128 enodes 3.964 * * [simplify]: iteration complete: 5000 enodes 3.964 * * [simplify]: Extracting #0: cost 10 inf + 0 3.965 * * [simplify]: Extracting #1: cost 156 inf + 0 3.968 * * [simplify]: Extracting #2: cost 369 inf + 51 3.970 * * [simplify]: Extracting #3: cost 111 inf + 2940 3.973 * * [simplify]: Extracting #4: cost 4 inf + 4034 3.976 * * [simplify]: Extracting #5: cost 2 inf + 4024 3.979 * * [simplify]: Extracting #6: cost 1 inf + 4029 3.982 * * [simplify]: Extracting #7: cost 0 inf + 4037 3.985 * [simplify]: Simplified to: (expm1 (fma (/ x y) 1/2 1/2)) (log1p (fma (/ x y) 1/2 1/2)) (* (/ x y) 1/2) (+ (log1p (/ x y)) (log 1/2)) (sqrt (exp (+ (/ x y) 1))) (* (cbrt (fma (/ x y) 1/2 1/2)) (cbrt (fma (/ x y) 1/2 1/2))) (cbrt (fma (/ x y) 1/2 1/2)) (pow (fma (/ x y) 1/2 1/2) 3) (sqrt (fma (/ x y) 1/2 1/2)) (sqrt (fma (/ x y) 1/2 1/2)) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) 3.985 * * * [progress]: adding candidates to table 4.030 * [progress]: [Phase 3 of 3] Extracting. 4.030 * * [regime]: Finding splitpoints for: (# #) 4.030 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 4.030 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# #) 4.078 * * * * [regimes]: Trying to branch on y from (# #) 4.133 * * * * [regimes]: Trying to branch on x from (# #) 4.167 * * * [regime]: Found split indices: #