24.057 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: Extracting # 3 : cost 0 0.021 * * [simplify]: Extracting # 4 : cost 0 0.021 * * [simplify]: Extracting # 5 : cost 0 0.021 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.023 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.043 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.053 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.053 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.053 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.053 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.054 * [backup-simplify]: Simplify (+ 0 1) into 1 0.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.054 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (+ 0 y) into y 0.054 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (+ 0 y) into y 0.061 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.062 * [taylor]: Taking taylor expansion of (sqrt y) in y 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 (sqrt 0) into 0 0.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.064 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 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 (sqrt (/ 1 y)) in y 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 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [backup-simplify]: Simplify (sqrt 0) into 0 0.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.067 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.067 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.067 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.069 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.070 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.070 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.070 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [backup-simplify]: Simplify x into x 0.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.070 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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 0.070 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (+ 0 1) into 1 0.071 * [backup-simplify]: Simplify (sqrt 0) into 0 0.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [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) 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [backup-simplify]: Simplify y into y 0.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.076 * [backup-simplify]: Simplify (+ 1 0) into 1 0.076 * [backup-simplify]: Simplify (sqrt 1) into 1 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.080 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.080 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.080 * [taylor]: Taking taylor expansion of 1/2 in y 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.080 * [backup-simplify]: Simplify 1/2 into 1/2 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 into 0 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.085 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of -1/8 in y 0.085 * [backup-simplify]: Simplify -1/8 into -1/8 0.085 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.086 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.087 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.087 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [backup-simplify]: Simplify x into x 0.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 1) into 1 0.088 * [backup-simplify]: Simplify (- 1) into -1 0.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.088 * [backup-simplify]: Simplify (sqrt 0) into 0 0.089 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.089 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [backup-simplify]: Simplify y into y 0.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.096 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.097 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.097 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.097 * [taylor]: Taking taylor expansion of -1/2 in y 0.097 * [backup-simplify]: Simplify -1/2 into -1/2 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.097 * [backup-simplify]: Simplify -1/2 into -1/2 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.099 * [backup-simplify]: Simplify (- 0) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.104 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of -1/8 in y 0.104 * [backup-simplify]: Simplify -1/8 into -1/8 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.107 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.107 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [backup-simplify]: Simplify x into x 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [backup-simplify]: Simplify y into y 0.107 * [backup-simplify]: Simplify (+ 0 y) into y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) 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 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.110 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.110 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.111 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [backup-simplify]: Simplify y into y 0.113 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.124 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.124 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.124 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.124 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.126 * [backup-simplify]: Simplify y into y 0.126 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [backup-simplify]: Simplify y into y 0.127 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [taylor]: Taking taylor expansion of 1 in y 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.131 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (- 1) into -1 0.132 * [backup-simplify]: Simplify -1 into -1 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (- 0) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.139 * * * [progress]: simplifying candidates 0.140 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.141 * * [simplify]: Extracting # 0 : cost 0 0.141 * * [simplify]: Extracting # 1 : cost 0 0.141 * * [simplify]: Extracting # 2 : cost 0 0.141 * * [simplify]: Extracting # 3 : cost 0 0.141 * * [simplify]: Extracting # 4 : cost 0 0.141 * * [simplify]: Extracting # 5 : cost 0 0.141 * * [simplify]: Extracting # 6 : cost 0 0.141 * * [simplify]: Extracting # 7 : cost 0 0.142 * * [simplify]: Extracting # 8 : cost 0 0.142 * * [simplify]: Extracting # 9 : cost 0 0.142 * * [simplify]: Extracting # 10 : cost 0 0.142 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.163 * * [simplify]: Extracting # 1 : cost 0 0.163 * * [simplify]: Extracting # 2 : cost 0 0.163 * * [simplify]: Extracting # 3 : cost 0 0.163 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.218 * * [simplify]: Extracting # 2 : cost 0 0.218 * * [simplify]: Extracting # 3 : cost 0 0.218 * * [simplify]: Extracting # 4 : cost 0 0.219 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.378 * * [simplify]: Extracting # 0 : cost 0 0.379 * * [simplify]: Extracting # 1 : cost 0 0.380 * * [simplify]: Extracting # 2 : cost 0 0.380 * * [simplify]: Extracting # 3 : cost 0 0.381 * * [simplify]: Extracting # 4 : cost 0 0.382 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 0.819 * * [simplify]: Extracting # 0 : cost 0 0.821 * * [simplify]: Extracting # 1 : cost 0 0.823 * * [simplify]: Extracting # 2 : cost 0 0.824 * * [simplify]: Extracting # 3 : cost 0 0.825 * * [simplify]: Extracting # 4 : cost 0 0.827 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 2.156 * * [simplify]: Extracting # 0 : cost 0 2.160 * * [simplify]: Extracting # 1 : cost 0 2.163 * * [simplify]: Extracting # 2 : cost 0 2.165 * * [simplify]: Extracting # 3 : cost 0 2.168 * * [simplify]: Extracting # 4 : cost 0 2.170 * * [simplify]: Extracting # 5 : cost 0 2.173 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 3.635 * * [simplify]: Extracting # 0 : cost 0 3.653 * * [simplify]: Extracting # 1 : cost 0 3.658 * * [simplify]: Extracting # 2 : cost 0 3.664 * * [simplify]: Extracting # 3 : cost 0 3.669 * * [simplify]: Extracting # 4 : cost 0 3.674 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 3.675 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 3.675 * * * [progress]: adding candidates to table 3.769 * * [progress]: iteration 2 / 4 3.769 * * * [progress]: picking best candidate 3.771 * * * * [pick]: Picked # 3.772 * * * [progress]: localizing error 3.777 * * * [progress]: generating rewritten candidates 3.777 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.802 * * * [progress]: generating series expansions 3.802 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.802 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 3.802 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 3.802 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 3.802 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 3.802 * [taylor]: Taking taylor expansion of x in x 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 3.802 * [taylor]: Taking taylor expansion of 1/2 in x 3.802 * [backup-simplify]: Simplify 1/2 into 1/2 3.802 * [taylor]: Taking taylor expansion of (/ y x) in x 3.802 * [taylor]: Taking taylor expansion of y in x 3.802 * [backup-simplify]: Simplify y into y 3.802 * [taylor]: Taking taylor expansion of x in x 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.803 * [backup-simplify]: Simplify (/ y 1) into y 3.803 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.803 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.803 * [taylor]: Taking taylor expansion of 1/2 in y 3.803 * [backup-simplify]: Simplify 1/2 into 1/2 3.803 * [taylor]: Taking taylor expansion of (/ y x) in y 3.803 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.803 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 3.803 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 3.803 * [taylor]: Taking taylor expansion of 1/2 in y 3.803 * [backup-simplify]: Simplify 1/2 into 1/2 3.803 * [taylor]: Taking taylor expansion of (/ y x) in y 3.803 * [taylor]: Taking taylor expansion of y in y 3.803 * [backup-simplify]: Simplify 0 into 0 3.803 * [backup-simplify]: Simplify 1 into 1 3.803 * [taylor]: Taking taylor expansion of x in y 3.803 * [backup-simplify]: Simplify x into x 3.803 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.803 * [backup-simplify]: Simplify (+ x 0) into x 3.803 * [backup-simplify]: Simplify (- x) into (- x) 3.804 * [taylor]: Taking taylor expansion of (- x) in x 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.804 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 3.804 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 3.804 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 3.804 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 3.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 3.804 * [taylor]: Taking taylor expansion of 1/2 in x 3.804 * [backup-simplify]: Simplify 1/2 into 1/2 3.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.804 * [taylor]: Taking taylor expansion of x in x 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify 1 into 1 3.805 * [backup-simplify]: Simplify (/ 1 1) into 1 3.805 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 3.806 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.806 * [backup-simplify]: Simplify -1/2 into -1/2 3.806 * [backup-simplify]: Simplify (- 0) into 0 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 3.807 * [backup-simplify]: Simplify (+ 0 0) into 0 3.808 * [backup-simplify]: Simplify (- 0) into 0 3.808 * [taylor]: Taking taylor expansion of 0 in x 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.809 * [backup-simplify]: Simplify (- 0) into 0 3.809 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify (- 1) into -1 3.810 * [backup-simplify]: Simplify -1 into -1 3.810 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.811 * [backup-simplify]: Simplify (+ 0 0) into 0 3.811 * [backup-simplify]: Simplify (- 0) into 0 3.811 * [taylor]: Taking taylor expansion of 0 in x 3.811 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.816 * [backup-simplify]: Simplify (+ 0 0) into 0 3.816 * [backup-simplify]: Simplify (- 0) into 0 3.816 * [taylor]: Taking taylor expansion of 0 in x 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (- 0) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 3.819 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 3.819 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 3.819 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 3.819 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 3.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.819 * [taylor]: Taking taylor expansion of 1/2 in x 3.819 * [backup-simplify]: Simplify 1/2 into 1/2 3.819 * [taylor]: Taking taylor expansion of (/ x y) in x 3.819 * [taylor]: Taking taylor expansion of x in x 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 1 into 1 3.819 * [taylor]: Taking taylor expansion of y in x 3.819 * [backup-simplify]: Simplify y into y 3.819 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.819 * [taylor]: Taking taylor expansion of x in x 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (/ 1 1) into 1 3.820 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.820 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.820 * [taylor]: Taking taylor expansion of 1/2 in y 3.820 * [backup-simplify]: Simplify 1/2 into 1/2 3.820 * [taylor]: Taking taylor expansion of (/ x y) in y 3.820 * [taylor]: Taking taylor expansion of x in y 3.820 * [backup-simplify]: Simplify x into x 3.820 * [taylor]: Taking taylor expansion of y in y 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (/ x 1) into x 3.820 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.820 * [taylor]: Taking taylor expansion of x in y 3.820 * [backup-simplify]: Simplify x into x 3.820 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.820 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 3.820 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 3.820 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.820 * [taylor]: Taking taylor expansion of 1/2 in y 3.820 * [backup-simplify]: Simplify 1/2 into 1/2 3.820 * [taylor]: Taking taylor expansion of (/ x y) in y 3.820 * [taylor]: Taking taylor expansion of x in y 3.820 * [backup-simplify]: Simplify x into x 3.820 * [taylor]: Taking taylor expansion of y in y 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (/ x 1) into x 3.820 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.820 * [taylor]: Taking taylor expansion of x in y 3.820 * [backup-simplify]: Simplify x into x 3.820 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.821 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.821 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 3.821 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 3.821 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.821 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.821 * [taylor]: Taking taylor expansion of 1/2 in x 3.821 * [backup-simplify]: Simplify 1/2 into 1/2 3.821 * [taylor]: Taking taylor expansion of x in x 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.822 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.822 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 3.822 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 3.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.822 * [taylor]: Taking taylor expansion of x in x 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (/ 1 1) into 1 3.823 * [backup-simplify]: Simplify (- 1) into -1 3.823 * [backup-simplify]: Simplify -1 into -1 3.824 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.824 * [backup-simplify]: Simplify (- 0) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.828 * [backup-simplify]: Simplify (- 0) into 0 3.828 * [taylor]: Taking taylor expansion of 0 in x 3.828 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify 0 into 0 3.830 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.831 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.831 * [backup-simplify]: Simplify -1/2 into -1/2 3.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.834 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (- 0) into 0 3.834 * [taylor]: Taking taylor expansion of 0 in x 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (- 0) into 0 3.835 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.837 * [backup-simplify]: Simplify (- 0) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.840 * [backup-simplify]: Simplify (+ 0 0) into 0 3.841 * [backup-simplify]: Simplify (- 0) into 0 3.841 * [taylor]: Taking taylor expansion of 0 in x 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (- 0) into 0 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 3.842 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 3.843 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 3.843 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 3.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.843 * [taylor]: Taking taylor expansion of x in x 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [backup-simplify]: Simplify (/ 1 1) into 1 3.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 3.843 * [taylor]: Taking taylor expansion of 1/2 in x 3.843 * [backup-simplify]: Simplify 1/2 into 1/2 3.843 * [taylor]: Taking taylor expansion of (/ x y) in x 3.843 * [taylor]: Taking taylor expansion of x in x 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 1 into 1 3.843 * [taylor]: Taking taylor expansion of y in x 3.843 * [backup-simplify]: Simplify y into y 3.843 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.843 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.843 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.843 * [taylor]: Taking taylor expansion of x in y 3.843 * [backup-simplify]: Simplify x into x 3.843 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.843 * [taylor]: Taking taylor expansion of 1/2 in y 3.843 * [backup-simplify]: Simplify 1/2 into 1/2 3.844 * [taylor]: Taking taylor expansion of (/ x y) in y 3.844 * [taylor]: Taking taylor expansion of x in y 3.844 * [backup-simplify]: Simplify x into x 3.844 * [taylor]: Taking taylor expansion of y in y 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (/ x 1) into x 3.844 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 3.844 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.844 * [taylor]: Taking taylor expansion of x in y 3.844 * [backup-simplify]: Simplify x into x 3.844 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 3.844 * [taylor]: Taking taylor expansion of 1/2 in y 3.844 * [backup-simplify]: Simplify 1/2 into 1/2 3.844 * [taylor]: Taking taylor expansion of (/ x y) in y 3.844 * [taylor]: Taking taylor expansion of x in y 3.844 * [backup-simplify]: Simplify x into x 3.844 * [taylor]: Taking taylor expansion of y in y 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (/ x 1) into x 3.844 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 3.844 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 3.844 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 3.844 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 3.844 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 3.844 * [taylor]: Taking taylor expansion of 1/2 in x 3.844 * [backup-simplify]: Simplify 1/2 into 1/2 3.845 * [taylor]: Taking taylor expansion of x in x 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 3.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 3.846 * [backup-simplify]: Simplify (- 0) into 0 3.846 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 3.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.847 * [backup-simplify]: Simplify (- 0) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 3.850 * [backup-simplify]: Simplify (- 0) into 0 3.850 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [taylor]: Taking taylor expansion of 0 in x 3.850 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.851 * [backup-simplify]: Simplify 0 into 0 3.852 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 3.852 * [backup-simplify]: Simplify (- 1/2) into -1/2 3.852 * [backup-simplify]: Simplify -1/2 into -1/2 3.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 3.855 * [backup-simplify]: Simplify (- 0) into 0 3.855 * [backup-simplify]: Simplify (+ 0 0) into 0 3.855 * [taylor]: Taking taylor expansion of 0 in x 3.855 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 3.857 * [backup-simplify]: Simplify (- 0) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 3.861 * [backup-simplify]: Simplify (- 0) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.862 * [taylor]: Taking taylor expansion of 0 in x 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 3.863 * * * [progress]: simplifying candidates 3.863 * [simplify]: Simplifying: (/ (exp (* (/ y x) -1/2)) (exp x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (* (* (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x)) (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (+ (* x x) (* (* (/ y x) -1/2) x))) (- x) (- (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 3.864 * * [simplify]: Extracting # 0 : cost 0 3.864 * * [simplify]: Extracting # 1 : cost 0 3.864 * * [simplify]: Extracting # 2 : cost 0 3.864 * * [simplify]: Extracting # 3 : cost 0 3.864 * * [simplify]: Extracting # 4 : cost 0 3.864 * * [simplify]: Extracting # 5 : cost 0 3.864 * * [simplify]: Extracting # 6 : cost 0 3.864 * * [simplify]: Extracting # 7 : cost 0 3.864 * * [simplify]: iteration 0 : 32 enodes (cost 173 ) 3.875 * * [simplify]: Extracting # 0 : cost 0 3.875 * * [simplify]: Extracting # 1 : cost 0 3.875 * * [simplify]: Extracting # 2 : cost 0 3.875 * * [simplify]: Extracting # 3 : cost 0 3.875 * * [simplify]: iteration 1 : 82 enodes (cost 166 ) 3.909 * * [simplify]: Extracting # 0 : cost 0 3.909 * * [simplify]: Extracting # 1 : cost 0 3.909 * * [simplify]: Extracting # 2 : cost 0 3.909 * * [simplify]: Extracting # 3 : cost 0 3.909 * * [simplify]: Extracting # 4 : cost 0 3.910 * * [simplify]: iteration 2 : 227 enodes (cost 149 ) 4.068 * * [simplify]: Extracting # 0 : cost 0 4.069 * * [simplify]: Extracting # 1 : cost 0 4.070 * * [simplify]: Extracting # 2 : cost 0 4.071 * * [simplify]: Extracting # 3 : cost 0 4.072 * * [simplify]: Extracting # 4 : cost 0 4.072 * * [simplify]: Extracting # 5 : cost 0 4.073 * * [simplify]: Extracting # 6 : cost 0 4.074 * * [simplify]: iteration 3 : 841 enodes (cost 147 ) 5.218 * * [simplify]: Extracting # 0 : cost 0 5.227 * * [simplify]: Extracting # 1 : cost 0 5.231 * * [simplify]: Extracting # 2 : cost 0 5.234 * * [simplify]: Extracting # 3 : cost 0 5.238 * * [simplify]: Extracting # 4 : cost 0 5.241 * * [simplify]: iteration 4 : 3605 enodes (cost 147 ) 6.515 * * [simplify]: Extracting # 0 : cost 0 6.520 * * [simplify]: Extracting # 1 : cost 0 6.529 * * [simplify]: Extracting # 2 : cost 0 6.535 * * [simplify]: iteration done: 5000 enodes (cost 147 ) 6.535 * [simplify]: Simplified to: (exp (- (* (/ y x) -1/2) x)) (log (- (* (/ y x) -1/2) x)) (exp (- (* (/ y x) -1/2) x)) (* (cbrt (- (* (/ y x) -1/2) x)) (cbrt (- (* (/ y x) -1/2) x))) (cbrt (- (* (/ y x) -1/2) x)) (pow (- (* (/ y x) -1/2) x) 3) (sqrt (- (* (/ y x) -1/2) x)) (sqrt (- (* (/ y x) -1/2) x)) (- (pow (* (/ y x) -1/2) 3) (pow x 3)) (+ (* (+ (* (/ y x) -1/2) x) (* (/ y x) -1/2)) (* x x)) (- x) (- (* (* (/ y x) (/ y x)) 1/4) (* x x)) (+ (* (/ y x) -1/2) x) (- x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) 6.535 * * * [progress]: adding candidates to table 6.558 * * [progress]: iteration 3 / 4 6.558 * * * [progress]: picking best candidate 6.559 * * * * [pick]: Picked # 6.560 * * * [progress]: localizing error 6.565 * * * [progress]: generating rewritten candidates 6.565 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.572 * * * [progress]: generating series expansions 6.572 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.572 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 6.572 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 6.572 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.572 * [taylor]: Taking taylor expansion of x in y 6.572 * [backup-simplify]: Simplify x into x 6.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.572 * [taylor]: Taking taylor expansion of 1/2 in y 6.572 * [backup-simplify]: Simplify 1/2 into 1/2 6.572 * [taylor]: Taking taylor expansion of (/ y x) in y 6.572 * [taylor]: Taking taylor expansion of y in y 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.572 * [taylor]: Taking taylor expansion of x in y 6.572 * [backup-simplify]: Simplify x into x 6.572 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.572 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.572 * [taylor]: Taking taylor expansion of x in x 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.572 * [taylor]: Taking taylor expansion of 1/2 in x 6.572 * [backup-simplify]: Simplify 1/2 into 1/2 6.572 * [taylor]: Taking taylor expansion of (/ y x) in x 6.572 * [taylor]: Taking taylor expansion of y in x 6.572 * [backup-simplify]: Simplify y into y 6.572 * [taylor]: Taking taylor expansion of x in x 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.572 * [backup-simplify]: Simplify (/ y 1) into y 6.572 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.572 * [taylor]: Taking taylor expansion of x in x 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.573 * [taylor]: Taking taylor expansion of 1/2 in x 6.573 * [backup-simplify]: Simplify 1/2 into 1/2 6.573 * [taylor]: Taking taylor expansion of (/ y x) in x 6.573 * [taylor]: Taking taylor expansion of y in x 6.573 * [backup-simplify]: Simplify y into y 6.573 * [taylor]: Taking taylor expansion of x in x 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (/ y 1) into y 6.573 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 6.573 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 6.573 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 6.573 * [taylor]: Taking taylor expansion of 1/2 in y 6.573 * [backup-simplify]: Simplify 1/2 into 1/2 6.573 * [taylor]: Taking taylor expansion of y in y 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 6.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.575 * [taylor]: Taking taylor expansion of 0 in y 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.575 * [backup-simplify]: Simplify 1/2 into 1/2 6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 6.577 * [backup-simplify]: Simplify (+ 1 0) into 1 6.577 * [taylor]: Taking taylor expansion of 1 in y 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [taylor]: Taking taylor expansion of 0 in y 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 6.581 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 6.581 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 6.581 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.581 * [taylor]: Taking taylor expansion of 1/2 in y 6.581 * [backup-simplify]: Simplify 1/2 into 1/2 6.581 * [taylor]: Taking taylor expansion of (/ x y) in y 6.581 * [taylor]: Taking taylor expansion of x in y 6.581 * [backup-simplify]: Simplify x into x 6.581 * [taylor]: Taking taylor expansion of y in y 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.581 * [backup-simplify]: Simplify (/ x 1) into x 6.581 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.581 * [taylor]: Taking taylor expansion of x in y 6.581 * [backup-simplify]: Simplify x into x 6.581 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.581 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.581 * [taylor]: Taking taylor expansion of 1/2 in x 6.581 * [backup-simplify]: Simplify 1/2 into 1/2 6.581 * [taylor]: Taking taylor expansion of (/ x y) in x 6.581 * [taylor]: Taking taylor expansion of x in x 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.581 * [taylor]: Taking taylor expansion of y in x 6.581 * [backup-simplify]: Simplify y into y 6.581 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.581 * [taylor]: Taking taylor expansion of x in x 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.581 * [backup-simplify]: Simplify (/ 1 1) into 1 6.581 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.581 * [taylor]: Taking taylor expansion of 1/2 in x 6.581 * [backup-simplify]: Simplify 1/2 into 1/2 6.581 * [taylor]: Taking taylor expansion of (/ x y) in x 6.582 * [taylor]: Taking taylor expansion of x in x 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify 1 into 1 6.582 * [taylor]: Taking taylor expansion of y in x 6.582 * [backup-simplify]: Simplify y into y 6.582 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.582 * [taylor]: Taking taylor expansion of x in x 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify 1 into 1 6.582 * [backup-simplify]: Simplify (/ 1 1) into 1 6.582 * [backup-simplify]: Simplify (+ 0 1) into 1 6.582 * [taylor]: Taking taylor expansion of 1 in y 6.582 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ 0 0) into 0 6.583 * [taylor]: Taking taylor expansion of 0 in y 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 6.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.584 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 6.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.584 * [taylor]: Taking taylor expansion of 1/2 in y 6.584 * [backup-simplify]: Simplify 1/2 into 1/2 6.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.584 * [taylor]: Taking taylor expansion of y in y 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (/ 1 1) into 1 6.584 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.584 * [backup-simplify]: Simplify 1/2 into 1/2 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 6.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 6.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.586 * [taylor]: Taking taylor expansion of 0 in y 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 6.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.588 * [backup-simplify]: Simplify (+ 0 0) into 0 6.588 * [taylor]: Taking taylor expansion of 0 in y 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 6.588 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 6.588 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 6.588 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 6.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.589 * [taylor]: Taking taylor expansion of 1/2 in y 6.589 * [backup-simplify]: Simplify 1/2 into 1/2 6.589 * [taylor]: Taking taylor expansion of (/ x y) in y 6.589 * [taylor]: Taking taylor expansion of x in y 6.589 * [backup-simplify]: Simplify x into x 6.589 * [taylor]: Taking taylor expansion of y in y 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify (/ x 1) into x 6.589 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.589 * [taylor]: Taking taylor expansion of x in y 6.589 * [backup-simplify]: Simplify x into x 6.589 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.589 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 6.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.589 * [taylor]: Taking taylor expansion of 1/2 in x 6.589 * [backup-simplify]: Simplify 1/2 into 1/2 6.589 * [taylor]: Taking taylor expansion of (/ x y) in x 6.589 * [taylor]: Taking taylor expansion of x in x 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [taylor]: Taking taylor expansion of y in x 6.589 * [backup-simplify]: Simplify y into y 6.589 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.589 * [taylor]: Taking taylor expansion of x in x 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify (/ 1 1) into 1 6.589 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 6.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.589 * [taylor]: Taking taylor expansion of 1/2 in x 6.589 * [backup-simplify]: Simplify 1/2 into 1/2 6.589 * [taylor]: Taking taylor expansion of (/ x y) in x 6.589 * [taylor]: Taking taylor expansion of x in x 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [taylor]: Taking taylor expansion of y in x 6.589 * [backup-simplify]: Simplify y into y 6.589 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.589 * [taylor]: Taking taylor expansion of x in x 6.589 * [backup-simplify]: Simplify 0 into 0 6.590 * [backup-simplify]: Simplify 1 into 1 6.590 * [backup-simplify]: Simplify (/ 1 1) into 1 6.590 * [backup-simplify]: Simplify (- 1) into -1 6.590 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.590 * [taylor]: Taking taylor expansion of -1 in y 6.590 * [backup-simplify]: Simplify -1 into -1 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (- 0) into 0 6.591 * [backup-simplify]: Simplify (+ 0 0) into 0 6.591 * [taylor]: Taking taylor expansion of 0 in y 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify -1 into -1 6.591 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 6.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.592 * [backup-simplify]: Simplify (- 0) into 0 6.592 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 6.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.592 * [taylor]: Taking taylor expansion of 1/2 in y 6.592 * [backup-simplify]: Simplify 1/2 into 1/2 6.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.592 * [taylor]: Taking taylor expansion of y in y 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 1 into 1 6.593 * [backup-simplify]: Simplify (/ 1 1) into 1 6.593 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.593 * [backup-simplify]: Simplify 1/2 into 1/2 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 6.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (- 0) into 0 6.594 * [backup-simplify]: Simplify (+ 0 0) into 0 6.594 * [taylor]: Taking taylor expansion of 0 in y 6.594 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.597 * [backup-simplify]: Simplify (- 0) into 0 6.597 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [taylor]: Taking taylor expansion of 0 in y 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 6.597 * * * [progress]: simplifying candidates 6.598 * [simplify]: Simplifying: (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 6.598 * * [simplify]: Extracting # 0 : cost 0 6.598 * * [simplify]: Extracting # 1 : cost 0 6.598 * * [simplify]: Extracting # 2 : cost 0 6.598 * * [simplify]: Extracting # 3 : cost 0 6.598 * * [simplify]: Extracting # 4 : cost 0 6.598 * * [simplify]: Extracting # 5 : cost 0 6.598 * * [simplify]: Extracting # 6 : cost 0 6.598 * * [simplify]: iteration 0 : 27 enodes (cost 166 ) 6.613 * * [simplify]: Extracting # 0 : cost 0 6.613 * * [simplify]: Extracting # 1 : cost 0 6.613 * * [simplify]: Extracting # 2 : cost 0 6.614 * * [simplify]: Extracting # 3 : cost 0 6.614 * * [simplify]: iteration 1 : 86 enodes (cost 157 ) 6.649 * * [simplify]: Extracting # 0 : cost 0 6.649 * * [simplify]: Extracting # 1 : cost 0 6.650 * * [simplify]: Extracting # 2 : cost 0 6.650 * * [simplify]: Extracting # 3 : cost 0 6.650 * * [simplify]: Extracting # 4 : cost 0 6.651 * * [simplify]: Extracting # 5 : cost 0 6.651 * * [simplify]: iteration 2 : 294 enodes (cost 143 ) 6.835 * * [simplify]: Extracting # 0 : cost 0 6.836 * * [simplify]: Extracting # 1 : cost 0 6.837 * * [simplify]: Extracting # 2 : cost 0 6.838 * * [simplify]: Extracting # 3 : cost 0 6.839 * * [simplify]: Extracting # 4 : cost 0 6.840 * * [simplify]: iteration 3 : 964 enodes (cost 143 ) 7.715 * * [simplify]: Extracting # 0 : cost 0 7.719 * * [simplify]: Extracting # 1 : cost 0 7.721 * * [simplify]: Extracting # 2 : cost 0 7.724 * * [simplify]: Extracting # 3 : cost 0 7.726 * * [simplify]: Extracting # 4 : cost 0 7.729 * * [simplify]: iteration 4 : 3062 enodes (cost 143 ) 9.109 * * [simplify]: Extracting # 0 : cost 0 9.114 * * [simplify]: Extracting # 1 : cost 0 9.119 * * [simplify]: Extracting # 2 : cost 0 9.126 * * [simplify]: Extracting # 3 : cost 0 9.131 * * [simplify]: Extracting # 4 : cost 0 9.135 * * [simplify]: iteration done: 5000 enodes (cost 143 ) 9.136 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x))) (- (* x x) (* 1/4 (* (/ y x) (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 9.136 * * * [progress]: adding candidates to table 9.161 * [progress]: [Phase 3 of 3] Extracting. 9.162 * * [regime]: Finding splitpoints for: (# # #) 9.162 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 9.162 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 9.177 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 9.196 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 9.215 * * * * [regimes]: Trying to branch on y from (# # #) 9.244 * * * * [regimes]: Trying to branch on x from (# # #) 9.268 * * * [regime]: Found split indices: #