32.735 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [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 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.040 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.049 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [backup-simplify]: Simplify x into x 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.049 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.049 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.049 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.049 * [backup-simplify]: Simplify (+ 0 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (+ 0 y) into y 0.050 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (+ 0 y) into y 0.050 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.051 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (sqrt 0) into 0 0.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.053 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of 1/2 in y 0.053 * [backup-simplify]: Simplify 1/2 into 1/2 0.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [backup-simplify]: Simplify (sqrt 0) into 0 0.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.056 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.056 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.056 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.058 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.059 * [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)))))) 0.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [backup-simplify]: Simplify x into x 0.059 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.060 * [backup-simplify]: Simplify (+ 0 1) into 1 0.060 * [backup-simplify]: Simplify (sqrt 0) into 0 0.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [backup-simplify]: Simplify y into y 0.061 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.065 * [backup-simplify]: Simplify (sqrt 1) into 1 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.069 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.069 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.069 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.069 * [backup-simplify]: Simplify 1/2 into 1/2 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.073 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.074 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of -1/8 in y 0.074 * [backup-simplify]: Simplify -1/8 into -1/8 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.076 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.076 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.076 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [backup-simplify]: Simplify (- 1) into -1 0.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.077 * [backup-simplify]: Simplify (sqrt 0) into 0 0.078 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.078 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.079 * [backup-simplify]: Simplify (+ 1 0) into 1 0.079 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 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 0.090 * [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) 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.091 * [backup-simplify]: Simplify (sqrt 1) into 1 0.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.094 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [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)) 0.098 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.098 * [taylor]: Taking taylor expansion of (/ -1/2 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 y in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.098 * [backup-simplify]: Simplify -1/2 into -1/2 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.107 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of -1/8 in y 0.107 * [backup-simplify]: Simplify -1/8 into -1/8 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in 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 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.110 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.110 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.110 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [backup-simplify]: Simplify (+ 0 y) into 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 0 into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.115 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [backup-simplify]: Simplify x into x 0.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.117 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.118 * [backup-simplify]: Simplify (+ 1 0) into 1 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [backup-simplify]: Simplify 1 into 1 0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.129 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.129 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [backup-simplify]: Simplify x into x 0.129 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.133 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.136 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.145 * * * [progress]: simplifying candidates 0.146 * [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) 0.147 * * [simplify]: Extracting # 0 : cost 0 0.147 * * [simplify]: Extracting # 1 : cost 0 0.147 * * [simplify]: Extracting # 2 : cost 0 0.147 * * [simplify]: Extracting # 3 : cost 0 0.147 * * [simplify]: Extracting # 4 : cost 0 0.147 * * [simplify]: Extracting # 5 : cost 0 0.148 * * [simplify]: Extracting # 6 : cost 0 0.148 * * [simplify]: Extracting # 7 : cost 0 0.148 * * [simplify]: Extracting # 8 : cost 0 0.148 * * [simplify]: Extracting # 9 : cost 0 0.148 * * [simplify]: Extracting # 10 : cost 0 0.148 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.175 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: Extracting # 4 : cost 0 0.176 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.252 * * [simplify]: Extracting # 0 : cost 0 0.252 * * [simplify]: Extracting # 1 : cost 0 0.252 * * [simplify]: Extracting # 2 : cost 0 0.253 * * [simplify]: Extracting # 3 : cost 0 0.253 * * [simplify]: Extracting # 4 : cost 0 0.253 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.396 * * [simplify]: Extracting # 0 : cost 0 0.397 * * [simplify]: Extracting # 1 : cost 0 0.398 * * [simplify]: Extracting # 2 : cost 0 0.398 * * [simplify]: Extracting # 3 : cost 0 0.399 * * [simplify]: Extracting # 4 : cost 0 0.400 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 0.969 * * [simplify]: Extracting # 0 : cost 0 0.971 * * [simplify]: Extracting # 1 : cost 0 0.972 * * [simplify]: Extracting # 2 : cost 0 0.974 * * [simplify]: Extracting # 3 : cost 0 0.975 * * [simplify]: Extracting # 4 : cost 0 0.977 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 2.423 * * [simplify]: Extracting # 0 : cost 0 2.427 * * [simplify]: Extracting # 1 : cost 0 2.431 * * [simplify]: Extracting # 2 : cost 0 2.441 * * [simplify]: Extracting # 3 : cost 0 2.444 * * [simplify]: Extracting # 4 : cost 0 2.448 * * [simplify]: Extracting # 5 : cost 0 2.451 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 4.150 * * [simplify]: Extracting # 0 : cost 0 4.154 * * [simplify]: Extracting # 1 : cost 0 4.159 * * [simplify]: Extracting # 2 : cost 0 4.163 * * [simplify]: Extracting # 3 : cost 0 4.175 * * [simplify]: Extracting # 4 : cost 0 4.179 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 4.180 * [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)) 4.180 * * * [progress]: adding candidates to table 4.288 * * [progress]: iteration 2 / 4 4.288 * * * [progress]: picking best candidate 4.293 * * * * [pick]: Picked # 4.293 * * * [progress]: localizing error 4.304 * * * [progress]: generating rewritten candidates 4.304 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.317 * * * [progress]: generating series expansions 4.317 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.317 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 4.317 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 4.317 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 4.317 * [taylor]: Taking taylor expansion of x in y 4.317 * [backup-simplify]: Simplify x into x 4.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.317 * [taylor]: Taking taylor expansion of 1/2 in y 4.317 * [backup-simplify]: Simplify 1/2 into 1/2 4.317 * [taylor]: Taking taylor expansion of (/ y x) in y 4.317 * [taylor]: Taking taylor expansion of y in y 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of x in y 4.317 * [backup-simplify]: Simplify x into x 4.317 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.317 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.317 * [taylor]: Taking taylor expansion of x in x 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.317 * [taylor]: Taking taylor expansion of 1/2 in x 4.317 * [backup-simplify]: Simplify 1/2 into 1/2 4.318 * [taylor]: Taking taylor expansion of (/ y x) in x 4.318 * [taylor]: Taking taylor expansion of y in x 4.318 * [backup-simplify]: Simplify y into y 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ y 1) into y 4.318 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.318 * [taylor]: Taking taylor expansion of 1/2 in x 4.318 * [backup-simplify]: Simplify 1/2 into 1/2 4.318 * [taylor]: Taking taylor expansion of (/ y x) in x 4.318 * [taylor]: Taking taylor expansion of y in x 4.318 * [backup-simplify]: Simplify y into y 4.318 * [taylor]: Taking taylor expansion of x in x 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ y 1) into y 4.318 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.318 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 4.318 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.318 * [taylor]: Taking taylor expansion of 1/2 in y 4.318 * [backup-simplify]: Simplify 1/2 into 1/2 4.318 * [taylor]: Taking taylor expansion of y in y 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [taylor]: Taking taylor expansion of 0 in y 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.322 * [backup-simplify]: Simplify 1/2 into 1/2 4.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.325 * [backup-simplify]: Simplify (+ 1 0) into 1 4.325 * [taylor]: Taking taylor expansion of 1 in y 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.330 * [backup-simplify]: Simplify (+ 0 0) into 0 4.330 * [taylor]: Taking taylor expansion of 0 in y 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 4.332 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 4.332 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.332 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 4.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.333 * [taylor]: Taking taylor expansion of 1/2 in y 4.333 * [backup-simplify]: Simplify 1/2 into 1/2 4.333 * [taylor]: Taking taylor expansion of (/ x y) in y 4.333 * [taylor]: Taking taylor expansion of x in y 4.333 * [backup-simplify]: Simplify x into x 4.333 * [taylor]: Taking taylor expansion of y in y 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (/ x 1) into x 4.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.333 * [taylor]: Taking taylor expansion of x in y 4.333 * [backup-simplify]: Simplify x into x 4.333 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.333 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.333 * [taylor]: Taking taylor expansion of 1/2 in x 4.333 * [backup-simplify]: Simplify 1/2 into 1/2 4.333 * [taylor]: Taking taylor expansion of (/ x y) in x 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [taylor]: Taking taylor expansion of y in x 4.333 * [backup-simplify]: Simplify y into y 4.333 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (/ 1 1) into 1 4.334 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 4.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.334 * [taylor]: Taking taylor expansion of 1/2 in x 4.334 * [backup-simplify]: Simplify 1/2 into 1/2 4.334 * [taylor]: Taking taylor expansion of (/ x y) in x 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [taylor]: Taking taylor expansion of y in x 4.334 * [backup-simplify]: Simplify y into y 4.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.334 * [taylor]: Taking taylor expansion of x in x 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.335 * [backup-simplify]: Simplify (/ 1 1) into 1 4.335 * [backup-simplify]: Simplify (+ 0 1) into 1 4.335 * [taylor]: Taking taylor expansion of 1 in y 4.335 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [taylor]: Taking taylor expansion of 0 in y 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.338 * [taylor]: Taking taylor expansion of 1/2 in y 4.338 * [backup-simplify]: Simplify 1/2 into 1/2 4.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.338 * [taylor]: Taking taylor expansion of y in y 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.339 * [backup-simplify]: Simplify 1/2 into 1/2 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [taylor]: Taking taylor expansion of 0 in y 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [taylor]: Taking taylor expansion of 0 in y 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.346 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 4.346 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 4.346 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 4.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.346 * [taylor]: Taking taylor expansion of 1/2 in y 4.346 * [backup-simplify]: Simplify 1/2 into 1/2 4.346 * [taylor]: Taking taylor expansion of (/ x y) in y 4.346 * [taylor]: Taking taylor expansion of x in y 4.346 * [backup-simplify]: Simplify x into x 4.346 * [taylor]: Taking taylor expansion of y in y 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ x 1) into x 4.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.346 * [taylor]: Taking taylor expansion of x in y 4.346 * [backup-simplify]: Simplify x into x 4.346 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.346 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.346 * [taylor]: Taking taylor expansion of 1/2 in x 4.346 * [backup-simplify]: Simplify 1/2 into 1/2 4.346 * [taylor]: Taking taylor expansion of (/ x y) in x 4.346 * [taylor]: Taking taylor expansion of x in x 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [taylor]: Taking taylor expansion of y in x 4.347 * [backup-simplify]: Simplify y into y 4.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (/ 1 1) into 1 4.347 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 4.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.347 * [taylor]: Taking taylor expansion of 1/2 in x 4.347 * [backup-simplify]: Simplify 1/2 into 1/2 4.347 * [taylor]: Taking taylor expansion of (/ x y) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [taylor]: Taking taylor expansion of y in x 4.347 * [backup-simplify]: Simplify y into y 4.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.347 * [taylor]: Taking taylor expansion of x in x 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (/ 1 1) into 1 4.348 * [backup-simplify]: Simplify (- 1) into -1 4.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.348 * [taylor]: Taking taylor expansion of -1 in y 4.348 * [backup-simplify]: Simplify -1 into -1 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.349 * [taylor]: Taking taylor expansion of 0 in y 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- 0) into 0 4.350 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.350 * [taylor]: Taking taylor expansion of 1/2 in y 4.350 * [backup-simplify]: Simplify 1/2 into 1/2 4.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.350 * [taylor]: Taking taylor expansion of y in y 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (/ 1 1) into 1 4.351 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.351 * [backup-simplify]: Simplify 1/2 into 1/2 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (- 0) into 0 4.352 * [backup-simplify]: Simplify (+ 0 0) into 0 4.352 * [taylor]: Taking taylor expansion of 0 in y 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (- 0) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [taylor]: Taking taylor expansion of 0 in y 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 4.360 * * * [progress]: simplifying candidates 4.361 * [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))) 4.361 * * [simplify]: Extracting # 0 : cost 0 4.361 * * [simplify]: Extracting # 1 : cost 0 4.361 * * [simplify]: Extracting # 2 : cost 0 4.361 * * [simplify]: Extracting # 3 : cost 0 4.361 * * [simplify]: Extracting # 4 : cost 0 4.361 * * [simplify]: Extracting # 5 : cost 0 4.361 * * [simplify]: Extracting # 6 : cost 0 4.361 * * [simplify]: iteration 0 : 27 enodes (cost 166 ) 4.368 * * [simplify]: Extracting # 0 : cost 0 4.368 * * [simplify]: Extracting # 1 : cost 0 4.369 * * [simplify]: Extracting # 2 : cost 0 4.369 * * [simplify]: Extracting # 3 : cost 0 4.369 * * [simplify]: iteration 1 : 86 enodes (cost 157 ) 4.402 * * [simplify]: Extracting # 0 : cost 0 4.402 * * [simplify]: Extracting # 1 : cost 0 4.402 * * [simplify]: Extracting # 2 : cost 0 4.403 * * [simplify]: Extracting # 3 : cost 0 4.403 * * [simplify]: Extracting # 4 : cost 0 4.403 * * [simplify]: Extracting # 5 : cost 0 4.404 * * [simplify]: iteration 2 : 294 enodes (cost 143 ) 4.624 * * [simplify]: Extracting # 0 : cost 0 4.626 * * [simplify]: Extracting # 1 : cost 0 4.628 * * [simplify]: Extracting # 2 : cost 0 4.630 * * [simplify]: Extracting # 3 : cost 0 4.631 * * [simplify]: Extracting # 4 : cost 0 4.633 * * [simplify]: iteration 3 : 964 enodes (cost 143 ) 6.125 * * [simplify]: Extracting # 0 : cost 0 6.130 * * [simplify]: Extracting # 1 : cost 0 6.133 * * [simplify]: Extracting # 2 : cost 0 6.136 * * [simplify]: Extracting # 3 : cost 0 6.139 * * [simplify]: Extracting # 4 : cost 0 6.141 * * [simplify]: iteration 4 : 3062 enodes (cost 143 ) 7.794 * * [simplify]: Extracting # 0 : cost 0 7.800 * * [simplify]: Extracting # 1 : cost 0 7.806 * * [simplify]: Extracting # 2 : cost 0 7.811 * * [simplify]: Extracting # 3 : cost 0 7.816 * * [simplify]: Extracting # 4 : cost 0 7.821 * * [simplify]: iteration done: 5000 enodes (cost 143 ) 7.821 * [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))) 7.821 * * * [progress]: adding candidates to table 7.865 * * [progress]: iteration 3 / 4 7.865 * * * [progress]: picking best candidate 7.866 * * * * [pick]: Picked # 7.866 * * * [progress]: localizing error 7.872 * * * [progress]: generating rewritten candidates 7.872 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.893 * * * [progress]: generating series expansions 7.893 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.893 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 7.893 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 7.893 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 7.893 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 7.893 * [taylor]: Taking taylor expansion of x in x 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 7.893 * [taylor]: Taking taylor expansion of 1/2 in x 7.893 * [backup-simplify]: Simplify 1/2 into 1/2 7.893 * [taylor]: Taking taylor expansion of (/ y x) in x 7.894 * [taylor]: Taking taylor expansion of y in x 7.894 * [backup-simplify]: Simplify y into y 7.894 * [taylor]: Taking taylor expansion of x in x 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (/ y 1) into y 7.894 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 7.894 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 7.894 * [taylor]: Taking taylor expansion of x in y 7.894 * [backup-simplify]: Simplify x into x 7.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.894 * [taylor]: Taking taylor expansion of 1/2 in y 7.894 * [backup-simplify]: Simplify 1/2 into 1/2 7.894 * [taylor]: Taking taylor expansion of (/ y x) in y 7.894 * [taylor]: Taking taylor expansion of y in y 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [taylor]: Taking taylor expansion of x in y 7.894 * [backup-simplify]: Simplify x into x 7.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.894 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 7.894 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 7.894 * [taylor]: Taking taylor expansion of x in y 7.894 * [backup-simplify]: Simplify x into x 7.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.894 * [taylor]: Taking taylor expansion of 1/2 in y 7.894 * [backup-simplify]: Simplify 1/2 into 1/2 7.894 * [taylor]: Taking taylor expansion of (/ y x) in y 7.894 * [taylor]: Taking taylor expansion of y in y 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [taylor]: Taking taylor expansion of x in y 7.894 * [backup-simplify]: Simplify x into x 7.894 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.894 * [backup-simplify]: Simplify (+ x 0) into x 7.894 * [backup-simplify]: Simplify (- x) into (- x) 7.894 * [taylor]: Taking taylor expansion of (- x) in x 7.894 * [taylor]: Taking taylor expansion of x in x 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 7.894 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 7.894 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 7.894 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 7.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 7.895 * [taylor]: Taking taylor expansion of 1/2 in x 7.895 * [backup-simplify]: Simplify 1/2 into 1/2 7.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.895 * [taylor]: Taking taylor expansion of x in x 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify 1 into 1 7.895 * [backup-simplify]: Simplify (/ 1 1) into 1 7.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.896 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.896 * [backup-simplify]: Simplify -1/2 into -1/2 7.896 * [backup-simplify]: Simplify (- 0) into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [backup-simplify]: Simplify (- 0) into 0 7.897 * [taylor]: Taking taylor expansion of 0 in x 7.897 * [backup-simplify]: Simplify 0 into 0 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.898 * [backup-simplify]: Simplify (- 0) into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (- 1) into -1 7.898 * [backup-simplify]: Simplify -1 into -1 7.899 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.899 * [backup-simplify]: Simplify (+ 0 0) into 0 7.900 * [backup-simplify]: Simplify (- 0) into 0 7.900 * [taylor]: Taking taylor expansion of 0 in x 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.901 * [backup-simplify]: Simplify (- 0) into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify (- 0) into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.903 * [backup-simplify]: Simplify (+ 0 0) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.903 * [taylor]: Taking taylor expansion of 0 in x 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.905 * [backup-simplify]: Simplify (- 0) into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 7.905 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 7.905 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 7.905 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 7.905 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 7.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.905 * [taylor]: Taking taylor expansion of 1/2 in x 7.905 * [backup-simplify]: Simplify 1/2 into 1/2 7.905 * [taylor]: Taking taylor expansion of (/ x y) in x 7.905 * [taylor]: Taking taylor expansion of x in x 7.905 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify 1 into 1 7.905 * [taylor]: Taking taylor expansion of y in x 7.905 * [backup-simplify]: Simplify y into y 7.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.905 * [taylor]: Taking taylor expansion of x in x 7.905 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (/ 1 1) into 1 7.906 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 7.906 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 7.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.906 * [taylor]: Taking taylor expansion of 1/2 in y 7.906 * [backup-simplify]: Simplify 1/2 into 1/2 7.906 * [taylor]: Taking taylor expansion of (/ x y) in y 7.906 * [taylor]: Taking taylor expansion of x in y 7.906 * [backup-simplify]: Simplify x into x 7.906 * [taylor]: Taking taylor expansion of y in y 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (/ x 1) into x 7.906 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.906 * [taylor]: Taking taylor expansion of x in y 7.906 * [backup-simplify]: Simplify x into x 7.906 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.906 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 7.906 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 7.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.906 * [taylor]: Taking taylor expansion of 1/2 in y 7.906 * [backup-simplify]: Simplify 1/2 into 1/2 7.906 * [taylor]: Taking taylor expansion of (/ x y) in y 7.906 * [taylor]: Taking taylor expansion of x in y 7.906 * [backup-simplify]: Simplify x into x 7.906 * [taylor]: Taking taylor expansion of y in y 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (/ x 1) into x 7.906 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.906 * [taylor]: Taking taylor expansion of x in y 7.906 * [backup-simplify]: Simplify x into x 7.906 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.906 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 7.907 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 7.907 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 7.907 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 7.907 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.907 * [taylor]: Taking taylor expansion of 1/2 in x 7.907 * [backup-simplify]: Simplify 1/2 into 1/2 7.907 * [taylor]: Taking taylor expansion of x in x 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 1 into 1 7.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 7.908 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 7.908 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 7.908 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.908 * [taylor]: Taking taylor expansion of x in x 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (/ 1 1) into 1 7.908 * [backup-simplify]: Simplify (- 1) into -1 7.908 * [backup-simplify]: Simplify -1 into -1 7.909 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.909 * [backup-simplify]: Simplify (- 0) into 0 7.909 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (- 0) into 0 7.912 * [taylor]: Taking taylor expansion of 0 in x 7.912 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (- 0) into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.914 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.914 * [backup-simplify]: Simplify -1/2 into -1/2 7.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.916 * [backup-simplify]: Simplify (+ 0 0) into 0 7.917 * [backup-simplify]: Simplify (- 0) into 0 7.917 * [taylor]: Taking taylor expansion of 0 in x 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- 0) into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.918 * [backup-simplify]: Simplify (- 0) into 0 7.918 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.922 * [backup-simplify]: Simplify (+ 0 0) into 0 7.922 * [backup-simplify]: Simplify (- 0) into 0 7.922 * [taylor]: Taking taylor expansion of 0 in x 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (- 0) into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 7.924 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 7.924 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 7.924 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 7.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.924 * [taylor]: Taking taylor expansion of x in x 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.924 * [backup-simplify]: Simplify (/ 1 1) into 1 7.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.925 * [taylor]: Taking taylor expansion of 1/2 in x 7.925 * [backup-simplify]: Simplify 1/2 into 1/2 7.925 * [taylor]: Taking taylor expansion of (/ x y) in x 7.925 * [taylor]: Taking taylor expansion of x in x 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [taylor]: Taking taylor expansion of y in x 7.925 * [backup-simplify]: Simplify y into y 7.925 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.925 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 7.925 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.925 * [taylor]: Taking taylor expansion of x in y 7.925 * [backup-simplify]: Simplify x into x 7.925 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.925 * [taylor]: Taking taylor expansion of 1/2 in y 7.925 * [backup-simplify]: Simplify 1/2 into 1/2 7.925 * [taylor]: Taking taylor expansion of (/ x y) in y 7.925 * [taylor]: Taking taylor expansion of x in y 7.925 * [backup-simplify]: Simplify x into x 7.925 * [taylor]: Taking taylor expansion of y in y 7.925 * [backup-simplify]: Simplify 0 into 0 7.925 * [backup-simplify]: Simplify 1 into 1 7.925 * [backup-simplify]: Simplify (/ x 1) into x 7.925 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 7.925 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.925 * [taylor]: Taking taylor expansion of x in y 7.925 * [backup-simplify]: Simplify x into x 7.925 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.925 * [taylor]: Taking taylor expansion of 1/2 in y 7.926 * [backup-simplify]: Simplify 1/2 into 1/2 7.926 * [taylor]: Taking taylor expansion of (/ x y) in y 7.926 * [taylor]: Taking taylor expansion of x in y 7.926 * [backup-simplify]: Simplify x into x 7.926 * [taylor]: Taking taylor expansion of y in y 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.926 * [backup-simplify]: Simplify (/ x 1) into x 7.926 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 7.926 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 7.926 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 7.926 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 7.926 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.926 * [taylor]: Taking taylor expansion of 1/2 in x 7.926 * [backup-simplify]: Simplify 1/2 into 1/2 7.926 * [taylor]: Taking taylor expansion of x in x 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 7.928 * [backup-simplify]: Simplify (- 0) into 0 7.928 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 7.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.928 * [taylor]: Taking taylor expansion of x in x 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 1 into 1 7.928 * [backup-simplify]: Simplify (/ 1 1) into 1 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.932 * [backup-simplify]: Simplify (- 0) into 0 7.932 * [backup-simplify]: Simplify (+ 0 0) into 0 7.932 * [taylor]: Taking taylor expansion of 0 in x 7.932 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.933 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.934 * [backup-simplify]: Simplify (- 1/2) into -1/2 7.934 * [backup-simplify]: Simplify -1/2 into -1/2 7.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.943 * [backup-simplify]: Simplify (- 0) into 0 7.944 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [taylor]: Taking taylor expansion of 0 in x 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.945 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.946 * [backup-simplify]: Simplify (- 0) into 0 7.946 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.951 * [backup-simplify]: Simplify (- 0) into 0 7.951 * [backup-simplify]: Simplify (+ 0 0) into 0 7.952 * [taylor]: Taking taylor expansion of 0 in x 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 0 into 0 7.952 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 7.953 * * * [progress]: simplifying candidates 7.954 * [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)))) 7.955 * * [simplify]: Extracting # 0 : cost 0 7.955 * * [simplify]: Extracting # 1 : cost 0 7.955 * * [simplify]: Extracting # 2 : cost 0 7.955 * * [simplify]: Extracting # 3 : cost 0 7.955 * * [simplify]: Extracting # 4 : cost 0 7.955 * * [simplify]: Extracting # 5 : cost 0 7.955 * * [simplify]: Extracting # 6 : cost 0 7.955 * * [simplify]: Extracting # 7 : cost 0 7.955 * * [simplify]: iteration 0 : 32 enodes (cost 173 ) 7.969 * * [simplify]: Extracting # 0 : cost 0 7.969 * * [simplify]: Extracting # 1 : cost 0 7.970 * * [simplify]: Extracting # 2 : cost 0 7.970 * * [simplify]: Extracting # 3 : cost 0 7.970 * * [simplify]: iteration 1 : 82 enodes (cost 166 ) 8.012 * * [simplify]: Extracting # 0 : cost 0 8.012 * * [simplify]: Extracting # 1 : cost 0 8.013 * * [simplify]: Extracting # 2 : cost 0 8.013 * * [simplify]: Extracting # 3 : cost 0 8.014 * * [simplify]: Extracting # 4 : cost 0 8.014 * * [simplify]: iteration 2 : 227 enodes (cost 149 ) 8.203 * * [simplify]: Extracting # 0 : cost 0 8.205 * * [simplify]: Extracting # 1 : cost 0 8.207 * * [simplify]: Extracting # 2 : cost 0 8.208 * * [simplify]: Extracting # 3 : cost 0 8.210 * * [simplify]: Extracting # 4 : cost 0 8.212 * * [simplify]: Extracting # 5 : cost 0 8.213 * * [simplify]: Extracting # 6 : cost 0 8.215 * * [simplify]: iteration 3 : 841 enodes (cost 147 ) 9.643 * * [simplify]: Extracting # 0 : cost 0 9.654 * * [simplify]: Extracting # 1 : cost 0 9.661 * * [simplify]: Extracting # 2 : cost 0 9.665 * * [simplify]: Extracting # 3 : cost 0 9.669 * * [simplify]: Extracting # 4 : cost 0 9.672 * * [simplify]: iteration 4 : 3605 enodes (cost 147 ) 11.299 * * [simplify]: Extracting # 0 : cost 0 11.308 * * [simplify]: Extracting # 1 : cost 0 11.319 * * [simplify]: Extracting # 2 : cost 0 11.329 * * [simplify]: iteration done: 5000 enodes (cost 147 ) 11.329 * [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) 11.329 * * * [progress]: adding candidates to table 11.376 * [progress]: [Phase 3 of 3] Extracting. 11.376 * * [regime]: Finding splitpoints for: (# # #) 11.377 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 11.377 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 11.401 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 11.418 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 11.440 * * * * [regimes]: Trying to branch on y from (# # #) 11.462 * * * * [regimes]: Trying to branch on x from (# # #) 11.504 * * * [regime]: Found split indices: #