13.908 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.018 * * [simplify]: Extracting # 0 : cost 0 0.018 * * [simplify]: Extracting # 1 : cost 0 0.018 * * [simplify]: Extracting # 2 : cost 0 0.018 * * [simplify]: Extracting # 3 : cost 0 0.018 * * [simplify]: Extracting # 4 : cost 0 0.019 * * [simplify]: Extracting # 5 : cost 0 0.019 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.019 * * [simplify]: Extracting # 0 : cost 0 0.019 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.020 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.035 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [backup-simplify]: Simplify x into x 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [backup-simplify]: Simplify 0 into 0 0.044 * [backup-simplify]: Simplify 1 into 1 0.044 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.044 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.044 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.044 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 1) into 1 0.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [backup-simplify]: Simplify (+ 0 y) into y 0.045 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [backup-simplify]: Simplify y into y 0.045 * [backup-simplify]: Simplify (+ 0 y) into y 0.046 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.046 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 0.046 * [backup-simplify]: Simplify (sqrt 0) into 0 0.047 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.048 * [backup-simplify]: Simplify (* 1 1) into 1 0.048 * [backup-simplify]: Simplify (+ 1 0) into 1 0.048 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.048 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of 1/2 in y 0.049 * [backup-simplify]: Simplify 1/2 into 1/2 0.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 (/ 1 1) into 1 0.049 * [backup-simplify]: Simplify (sqrt 0) into 0 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.051 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.051 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.053 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.053 * [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)))))) 0.053 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.053 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [backup-simplify]: Simplify x into x 0.054 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.054 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ 0 1) into 1 0.055 * [backup-simplify]: Simplify (sqrt 0) into 0 0.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* 1 1) into 1 0.057 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [backup-simplify]: Simplify y into y 0.057 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.057 * [backup-simplify]: Simplify (+ 1 0) into 1 0.057 * [backup-simplify]: Simplify (sqrt 1) into 1 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 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 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.060 * [backup-simplify]: Simplify (+ 1 0) into 1 0.060 * [backup-simplify]: Simplify (sqrt 1) into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.063 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.064 * [backup-simplify]: Simplify 1/2 into 1/2 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.068 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of -1/8 in y 0.068 * [backup-simplify]: Simplify -1/8 into -1/8 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 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 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (- 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 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [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 0.074 * [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 0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.078 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.079 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.079 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.079 * [taylor]: Taking taylor expansion of -1/2 in y 0.079 * [backup-simplify]: Simplify -1/2 into -1/2 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.079 * [backup-simplify]: Simplify -1/2 into -1/2 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.088 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.089 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of -1/8 in y 0.089 * [backup-simplify]: Simplify -1/8 into -1/8 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.091 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.091 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.091 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.091 * [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 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (+ 0 y) into y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.094 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.094 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [backup-simplify]: Simplify x into x 0.094 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.094 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.096 * [taylor]: Taking taylor expansion of y in x 0.096 * [backup-simplify]: Simplify y into y 0.096 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [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 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [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 0) 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 into 0 0.103 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.103 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.103 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [backup-simplify]: Simplify x into x 0.103 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [backup-simplify]: Simplify y into y 0.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.106 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.108 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.108 * [taylor]: Taking taylor expansion of y in y 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 0.108 * [backup-simplify]: Simplify (- 1) into -1 0.108 * [backup-simplify]: Simplify -1 into -1 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (- 0) 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 (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (- 0) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.113 * * * [progress]: simplifying candidates 0.113 * [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) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.114 * * [simplify]: Extracting # 1 : cost 0 0.114 * * [simplify]: Extracting # 2 : cost 0 0.114 * * [simplify]: Extracting # 3 : cost 0 0.114 * * [simplify]: Extracting # 4 : cost 0 0.114 * * [simplify]: Extracting # 5 : cost 0 0.114 * * [simplify]: Extracting # 6 : cost 0 0.114 * * [simplify]: Extracting # 7 : cost 0 0.114 * * [simplify]: Extracting # 8 : cost 0 0.114 * * [simplify]: Extracting # 9 : cost 0 0.114 * * [simplify]: Extracting # 10 : cost 0 0.115 * * [simplify]: iteration 0 : 59 enodes (cost 319 ) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: Extracting # 3 : cost 0 0.127 * * [simplify]: Extracting # 4 : cost 0 0.128 * * [simplify]: iteration 1 : 140 enodes (cost 294 ) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.173 * * [simplify]: Extracting # 1 : cost 0 0.174 * * [simplify]: Extracting # 2 : cost 0 0.174 * * [simplify]: Extracting # 3 : cost 0 0.174 * * [simplify]: Extracting # 4 : cost 0 0.174 * * [simplify]: iteration 2 : 347 enodes (cost 258 ) 0.298 * * [simplify]: Extracting # 0 : cost 0 0.299 * * [simplify]: Extracting # 1 : cost 0 0.299 * * [simplify]: Extracting # 2 : cost 0 0.300 * * [simplify]: Extracting # 3 : cost 0 0.300 * * [simplify]: Extracting # 4 : cost 0 0.301 * * [simplify]: iteration 3 : 826 enodes (cost 255 ) 0.674 * * [simplify]: Extracting # 0 : cost 0 0.676 * * [simplify]: Extracting # 1 : cost 0 0.678 * * [simplify]: Extracting # 2 : cost 0 0.679 * * [simplify]: Extracting # 3 : cost 0 0.680 * * [simplify]: Extracting # 4 : cost 0 0.682 * * [simplify]: iteration 4 : 2004 enodes (cost 254 ) 2.014 * * [simplify]: Extracting # 0 : cost 0 2.018 * * [simplify]: Extracting # 1 : cost 0 2.021 * * [simplify]: Extracting # 2 : cost 0 2.024 * * [simplify]: Extracting # 3 : cost 0 2.027 * * [simplify]: Extracting # 4 : cost 0 2.030 * * [simplify]: Extracting # 5 : cost 0 2.033 * * [simplify]: iteration 5 : 4212 enodes (cost 254 ) 3.147 * * [simplify]: Extracting # 0 : cost 0 3.150 * * [simplify]: Extracting # 1 : cost 0 3.154 * * [simplify]: Extracting # 2 : cost 0 3.158 * * [simplify]: Extracting # 3 : cost 0 3.162 * * [simplify]: Extracting # 4 : cost 0 3.166 * * [simplify]: iteration done: 5000 enodes (cost 254 ) 3.166 * [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)) 3.167 * * * [progress]: adding candidates to table 3.237 * * [progress]: iteration 2 / 4 3.237 * * * [progress]: picking best candidate 3.240 * * * * [pick]: Picked # 3.240 * * * [progress]: localizing error 3.247 * * * [progress]: generating rewritten candidates 3.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.325 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.340 * * * [progress]: generating series expansions 3.340 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.340 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 3.340 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 3.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 3.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 3.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.340 * [taylor]: Taking taylor expansion of x in y 3.340 * [backup-simplify]: Simplify x into x 3.340 * [taylor]: Taking taylor expansion of y in y 3.340 * [backup-simplify]: Simplify 0 into 0 3.341 * [backup-simplify]: Simplify 1 into 1 3.341 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.341 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.341 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.341 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.341 * [backup-simplify]: Simplify (+ 0 1) into 1 3.341 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 3.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.342 * [taylor]: Taking taylor expansion of x in x 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of y in x 3.342 * [backup-simplify]: Simplify y into y 3.342 * [backup-simplify]: Simplify (+ 0 y) into y 3.342 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.342 * [backup-simplify]: Simplify (+ 0 0) into 0 3.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.342 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.342 * [taylor]: Taking taylor expansion of x in x 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [taylor]: Taking taylor expansion of y in x 3.342 * [backup-simplify]: Simplify y into y 3.342 * [backup-simplify]: Simplify (+ 0 y) into y 3.343 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.343 * [backup-simplify]: Simplify (+ 0 0) into 0 3.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.343 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.343 * [taylor]: Taking taylor expansion of y in y 3.343 * [backup-simplify]: Simplify 0 into 0 3.343 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (sqrt 0) into 0 3.344 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [taylor]: Taking taylor expansion of 0 in y 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (+ 1 0) into 1 3.345 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 3.345 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 3.345 * [taylor]: Taking taylor expansion of 1/2 in y 3.345 * [backup-simplify]: Simplify 1/2 into 1/2 3.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.345 * [taylor]: Taking taylor expansion of y in y 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.346 * [backup-simplify]: Simplify (/ 1 1) into 1 3.346 * [backup-simplify]: Simplify (sqrt 0) into 0 3.347 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.347 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 3.348 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.348 * [backup-simplify]: Simplify 0 into 0 3.349 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.350 * [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)))))) 3.350 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3.350 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 3.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 3.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.350 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.350 * [taylor]: Taking taylor expansion of x in y 3.350 * [backup-simplify]: Simplify x into x 3.350 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.350 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.350 * [taylor]: Taking taylor expansion of y in y 3.350 * [backup-simplify]: Simplify 0 into 0 3.350 * [backup-simplify]: Simplify 1 into 1 3.353 * [backup-simplify]: Simplify (/ 1 1) into 1 3.354 * [backup-simplify]: Simplify (+ 0 1) into 1 3.354 * [backup-simplify]: Simplify (sqrt 0) into 0 3.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.355 * [taylor]: Taking taylor expansion of x in x 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.355 * [backup-simplify]: Simplify (* 1 1) into 1 3.355 * [backup-simplify]: Simplify (/ 1 1) into 1 3.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.355 * [taylor]: Taking taylor expansion of y in x 3.356 * [backup-simplify]: Simplify y into y 3.356 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.356 * [backup-simplify]: Simplify (+ 1 0) into 1 3.356 * [backup-simplify]: Simplify (sqrt 1) into 1 3.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (+ 0 0) into 0 3.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.357 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.357 * [taylor]: Taking taylor expansion of x in x 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.358 * [taylor]: Taking taylor expansion of y in x 3.358 * [backup-simplify]: Simplify y into y 3.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.358 * [backup-simplify]: Simplify (+ 1 0) into 1 3.359 * [backup-simplify]: Simplify (sqrt 1) into 1 3.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.360 * [backup-simplify]: Simplify (+ 0 0) into 0 3.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.360 * [taylor]: Taking taylor expansion of 1 in y 3.360 * [backup-simplify]: Simplify 1 into 1 3.360 * [taylor]: Taking taylor expansion of 0 in y 3.360 * [backup-simplify]: Simplify 0 into 0 3.360 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.361 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.362 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 3.362 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.362 * [taylor]: Taking taylor expansion of 1/2 in y 3.362 * [backup-simplify]: Simplify 1/2 into 1/2 3.362 * [taylor]: Taking taylor expansion of y in y 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.362 * [backup-simplify]: Simplify 1/2 into 1/2 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 0 into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in y 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.366 * [backup-simplify]: Simplify (+ 0 0) into 0 3.367 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 3.367 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.367 * [taylor]: Taking taylor expansion of -1/8 in y 3.367 * [backup-simplify]: Simplify -1/8 into -1/8 3.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.367 * [taylor]: Taking taylor expansion of y in y 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (* 1 1) into 1 3.367 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 3.369 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3.369 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.369 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 3.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.369 * [taylor]: Taking taylor expansion of x in y 3.369 * [backup-simplify]: Simplify x into x 3.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.369 * [taylor]: Taking taylor expansion of y in y 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (/ 1 1) into 1 3.369 * [backup-simplify]: Simplify (- 1) into -1 3.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.370 * [backup-simplify]: Simplify (sqrt 0) into 0 3.371 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.371 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.371 * [taylor]: Taking taylor expansion of x in x 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [backup-simplify]: Simplify (* 1 1) into 1 3.371 * [backup-simplify]: Simplify (/ 1 1) into 1 3.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.371 * [taylor]: Taking taylor expansion of y in x 3.371 * [backup-simplify]: Simplify y into y 3.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.371 * [backup-simplify]: Simplify (+ 1 0) into 1 3.372 * [backup-simplify]: Simplify (sqrt 1) into 1 3.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.373 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.373 * [taylor]: Taking taylor expansion of x in x 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (* 1 1) into 1 3.374 * [backup-simplify]: Simplify (/ 1 1) into 1 3.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.374 * [taylor]: Taking taylor expansion of y in x 3.374 * [backup-simplify]: Simplify y into y 3.374 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.374 * [backup-simplify]: Simplify (+ 1 0) into 1 3.374 * [backup-simplify]: Simplify (sqrt 1) into 1 3.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.376 * [taylor]: Taking taylor expansion of 1 in y 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [taylor]: Taking taylor expansion of 0 in y 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.377 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.377 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 3.378 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 3.378 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.378 * [taylor]: Taking taylor expansion of -1/2 in y 3.378 * [backup-simplify]: Simplify -1/2 into -1/2 3.378 * [taylor]: Taking taylor expansion of y in y 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 1 into 1 3.378 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.378 * [backup-simplify]: Simplify -1/2 into -1/2 3.378 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 3.380 * [taylor]: Taking taylor expansion of 0 in y 3.380 * [backup-simplify]: Simplify 0 into 0 3.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.382 * [backup-simplify]: Simplify (+ 0 0) into 0 3.383 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 3.383 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.383 * [taylor]: Taking taylor expansion of -1/8 in y 3.383 * [backup-simplify]: Simplify -1/8 into -1/8 3.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.383 * [taylor]: Taking taylor expansion of y in y 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 1 into 1 3.383 * [backup-simplify]: Simplify (* 1 1) into 1 3.384 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 3.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.385 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 3.385 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 3.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 3.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 3.385 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.385 * [taylor]: Taking taylor expansion of x in y 3.385 * [backup-simplify]: Simplify x into x 3.385 * [taylor]: Taking taylor expansion of y in y 3.385 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify 1 into 1 3.385 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.385 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.385 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.385 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.385 * [backup-simplify]: Simplify (+ 0 1) into 1 3.385 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 3.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.386 * [taylor]: Taking taylor expansion of x in x 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [taylor]: Taking taylor expansion of y in x 3.386 * [backup-simplify]: Simplify y into y 3.386 * [backup-simplify]: Simplify (+ 0 y) into y 3.386 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.386 * [taylor]: Taking taylor expansion of x in x 3.386 * [backup-simplify]: Simplify 0 into 0 3.386 * [backup-simplify]: Simplify 1 into 1 3.386 * [taylor]: Taking taylor expansion of y in x 3.386 * [backup-simplify]: Simplify y into y 3.386 * [backup-simplify]: Simplify (+ 0 y) into y 3.386 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.387 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.387 * [taylor]: Taking taylor expansion of y in y 3.387 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify 1 into 1 3.387 * [backup-simplify]: Simplify (sqrt 0) into 0 3.388 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [taylor]: Taking taylor expansion of 0 in y 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify 0 into 0 3.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.388 * [backup-simplify]: Simplify (* 1 1) into 1 3.388 * [backup-simplify]: Simplify (+ 1 0) into 1 3.389 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 3.389 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 3.389 * [taylor]: Taking taylor expansion of 1/2 in y 3.389 * [backup-simplify]: Simplify 1/2 into 1/2 3.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.389 * [taylor]: Taking taylor expansion of y in y 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (/ 1 1) into 1 3.389 * [backup-simplify]: Simplify (sqrt 0) into 0 3.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.391 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 3.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.391 * [backup-simplify]: Simplify 0 into 0 3.393 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.393 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.393 * [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)))))) 3.393 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3.393 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.393 * [taylor]: Taking taylor expansion of x in y 3.393 * [backup-simplify]: Simplify x into x 3.393 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.393 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.394 * [taylor]: Taking taylor expansion of y in y 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify 1 into 1 3.394 * [backup-simplify]: Simplify (/ 1 1) into 1 3.394 * [backup-simplify]: Simplify (+ 0 1) into 1 3.394 * [backup-simplify]: Simplify (sqrt 0) into 0 3.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (* 1 1) into 1 3.395 * [backup-simplify]: Simplify (/ 1 1) into 1 3.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.396 * [taylor]: Taking taylor expansion of y in x 3.396 * [backup-simplify]: Simplify y into y 3.396 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.396 * [backup-simplify]: Simplify (+ 1 0) into 1 3.396 * [backup-simplify]: Simplify (sqrt 1) into 1 3.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (+ 0 0) into 0 3.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.398 * [backup-simplify]: Simplify (/ 1 1) into 1 3.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.398 * [taylor]: Taking taylor expansion of y in x 3.398 * [backup-simplify]: Simplify y into y 3.398 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.398 * [backup-simplify]: Simplify (+ 1 0) into 1 3.398 * [backup-simplify]: Simplify (sqrt 1) into 1 3.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.399 * [backup-simplify]: Simplify (+ 0 0) into 0 3.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.400 * [taylor]: Taking taylor expansion of 1 in y 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of 0 in y 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.402 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 3.402 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.402 * [taylor]: Taking taylor expansion of 1/2 in y 3.402 * [backup-simplify]: Simplify 1/2 into 1/2 3.402 * [taylor]: Taking taylor expansion of y in y 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.402 * [backup-simplify]: Simplify 1/2 into 1/2 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.404 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 3.404 * [taylor]: Taking taylor expansion of 0 in y 3.404 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify 0 into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.406 * [backup-simplify]: Simplify (+ 0 0) into 0 3.407 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 3.407 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.407 * [taylor]: Taking taylor expansion of -1/8 in y 3.407 * [backup-simplify]: Simplify -1/8 into -1/8 3.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.407 * [taylor]: Taking taylor expansion of y in y 3.407 * [backup-simplify]: Simplify 0 into 0 3.407 * [backup-simplify]: Simplify 1 into 1 3.407 * [backup-simplify]: Simplify (* 1 1) into 1 3.407 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 3.409 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3.409 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.409 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 3.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 3.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.409 * [taylor]: Taking taylor expansion of x in y 3.409 * [backup-simplify]: Simplify x into x 3.409 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.409 * [taylor]: Taking taylor expansion of y in y 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 1 into 1 3.409 * [backup-simplify]: Simplify (/ 1 1) into 1 3.409 * [backup-simplify]: Simplify (- 1) into -1 3.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.410 * [backup-simplify]: Simplify (sqrt 0) into 0 3.411 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.411 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.411 * [taylor]: Taking taylor expansion of x in x 3.411 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify 1 into 1 3.411 * [backup-simplify]: Simplify (* 1 1) into 1 3.411 * [backup-simplify]: Simplify (/ 1 1) into 1 3.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.411 * [taylor]: Taking taylor expansion of y in x 3.411 * [backup-simplify]: Simplify y into y 3.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.412 * [backup-simplify]: Simplify (+ 1 0) into 1 3.412 * [backup-simplify]: Simplify (sqrt 1) into 1 3.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ 0 0) into 0 3.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.413 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.413 * [taylor]: Taking taylor expansion of x in x 3.413 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (* 1 1) into 1 3.414 * [backup-simplify]: Simplify (/ 1 1) into 1 3.414 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.414 * [taylor]: Taking taylor expansion of y in x 3.414 * [backup-simplify]: Simplify y into y 3.414 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.414 * [backup-simplify]: Simplify (+ 1 0) into 1 3.414 * [backup-simplify]: Simplify (sqrt 1) into 1 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.415 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.416 * [taylor]: Taking taylor expansion of 1 in y 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [taylor]: Taking taylor expansion of 0 in y 3.416 * [backup-simplify]: Simplify 0 into 0 3.416 * [backup-simplify]: Simplify 1 into 1 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.417 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.417 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 3.418 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 3.418 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.418 * [taylor]: Taking taylor expansion of -1/2 in y 3.418 * [backup-simplify]: Simplify -1/2 into -1/2 3.418 * [taylor]: Taking taylor expansion of y in y 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 1 into 1 3.418 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.418 * [backup-simplify]: Simplify -1/2 into -1/2 3.418 * [backup-simplify]: Simplify 0 into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.419 * [backup-simplify]: Simplify (- 0) into 0 3.420 * [backup-simplify]: Simplify (+ 0 0) into 0 3.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 3.420 * [taylor]: Taking taylor expansion of 0 in y 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.422 * [backup-simplify]: Simplify (- 0) into 0 3.422 * [backup-simplify]: Simplify (+ 0 0) into 0 3.423 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 3.423 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.423 * [taylor]: Taking taylor expansion of -1/8 in y 3.423 * [backup-simplify]: Simplify -1/8 into -1/8 3.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.423 * [taylor]: Taking taylor expansion of y in y 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 1 into 1 3.423 * [backup-simplify]: Simplify (* 1 1) into 1 3.424 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.424 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 3.425 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.425 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 3.425 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 3.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 3.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 3.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.425 * [taylor]: Taking taylor expansion of x in y 3.425 * [backup-simplify]: Simplify x into x 3.425 * [taylor]: Taking taylor expansion of y in y 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.425 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.425 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.425 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.425 * [backup-simplify]: Simplify (+ 0 1) into 1 3.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 3.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.426 * [taylor]: Taking taylor expansion of x in x 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [taylor]: Taking taylor expansion of y in x 3.426 * [backup-simplify]: Simplify y into y 3.426 * [backup-simplify]: Simplify (+ 0 y) into y 3.426 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.426 * [taylor]: Taking taylor expansion of x in x 3.426 * [backup-simplify]: Simplify 0 into 0 3.426 * [backup-simplify]: Simplify 1 into 1 3.426 * [taylor]: Taking taylor expansion of y in x 3.426 * [backup-simplify]: Simplify y into y 3.426 * [backup-simplify]: Simplify (+ 0 y) into y 3.426 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.427 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.427 * [taylor]: Taking taylor expansion of y in y 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (sqrt 0) into 0 3.428 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [taylor]: Taking taylor expansion of 0 in y 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.428 * [backup-simplify]: Simplify (* 1 1) into 1 3.428 * [backup-simplify]: Simplify (+ 1 0) into 1 3.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 3.429 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 3.429 * [taylor]: Taking taylor expansion of 1/2 in y 3.429 * [backup-simplify]: Simplify 1/2 into 1/2 3.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.429 * [taylor]: Taking taylor expansion of y in y 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (/ 1 1) into 1 3.429 * [backup-simplify]: Simplify (sqrt 0) into 0 3.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.431 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 3.431 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.431 * [backup-simplify]: Simplify 0 into 0 3.432 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.433 * [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)))))) 3.433 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 3.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 3.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.433 * [taylor]: Taking taylor expansion of x in y 3.433 * [backup-simplify]: Simplify x into x 3.433 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.433 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.433 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.434 * [taylor]: Taking taylor expansion of y in y 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 1 into 1 3.434 * [backup-simplify]: Simplify (/ 1 1) into 1 3.434 * [backup-simplify]: Simplify (+ 0 1) into 1 3.434 * [backup-simplify]: Simplify (sqrt 0) into 0 3.435 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.435 * [taylor]: Taking taylor expansion of x in x 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 1 into 1 3.435 * [backup-simplify]: Simplify (* 1 1) into 1 3.435 * [backup-simplify]: Simplify (/ 1 1) into 1 3.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.436 * [taylor]: Taking taylor expansion of y in x 3.436 * [backup-simplify]: Simplify y into y 3.436 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.436 * [backup-simplify]: Simplify (+ 1 0) into 1 3.436 * [backup-simplify]: Simplify (sqrt 1) into 1 3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (+ 0 0) into 0 3.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.437 * [taylor]: Taking taylor expansion of x in x 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.438 * [backup-simplify]: Simplify (* 1 1) into 1 3.438 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.438 * [taylor]: Taking taylor expansion of y in x 3.438 * [backup-simplify]: Simplify y into y 3.438 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.438 * [backup-simplify]: Simplify (+ 1 0) into 1 3.438 * [backup-simplify]: Simplify (sqrt 1) into 1 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ 0 0) into 0 3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.440 * [taylor]: Taking taylor expansion of 1 in y 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [taylor]: Taking taylor expansion of 0 in y 3.440 * [backup-simplify]: Simplify 0 into 0 3.440 * [backup-simplify]: Simplify 1 into 1 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.441 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.442 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 3.442 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.442 * [taylor]: Taking taylor expansion of 1/2 in y 3.442 * [backup-simplify]: Simplify 1/2 into 1/2 3.442 * [taylor]: Taking taylor expansion of y in y 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 1 into 1 3.442 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.442 * [backup-simplify]: Simplify 1/2 into 1/2 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify 0 into 0 3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.443 * [backup-simplify]: Simplify (+ 0 0) into 0 3.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 3.444 * [taylor]: Taking taylor expansion of 0 in y 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.444 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.448 * [backup-simplify]: Simplify (+ 0 0) into 0 3.449 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 3.449 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.449 * [taylor]: Taking taylor expansion of -1/8 in y 3.449 * [backup-simplify]: Simplify -1/8 into -1/8 3.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.449 * [taylor]: Taking taylor expansion of y in y 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 3.451 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3.451 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.451 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 3.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.451 * [taylor]: Taking taylor expansion of x in y 3.451 * [backup-simplify]: Simplify x into x 3.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.451 * [taylor]: Taking taylor expansion of y in y 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.452 * [backup-simplify]: Simplify (- 1) into -1 3.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.452 * [backup-simplify]: Simplify (sqrt 0) into 0 3.453 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.453 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.453 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.453 * [taylor]: Taking taylor expansion of x in x 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.453 * [backup-simplify]: Simplify (* 1 1) into 1 3.454 * [backup-simplify]: Simplify (/ 1 1) into 1 3.454 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.454 * [taylor]: Taking taylor expansion of y in x 3.454 * [backup-simplify]: Simplify y into y 3.454 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.454 * [backup-simplify]: Simplify (+ 1 0) into 1 3.454 * [backup-simplify]: Simplify (sqrt 1) into 1 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.456 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.456 * [taylor]: Taking taylor expansion of x in x 3.456 * [backup-simplify]: Simplify 0 into 0 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify (* 1 1) into 1 3.456 * [backup-simplify]: Simplify (/ 1 1) into 1 3.456 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.456 * [taylor]: Taking taylor expansion of y in x 3.456 * [backup-simplify]: Simplify y into y 3.456 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.456 * [backup-simplify]: Simplify (+ 1 0) into 1 3.457 * [backup-simplify]: Simplify (sqrt 1) into 1 3.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.458 * [taylor]: Taking taylor expansion of 1 in y 3.458 * [backup-simplify]: Simplify 1 into 1 3.458 * [taylor]: Taking taylor expansion of 0 in y 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.459 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.459 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 3.460 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 3.460 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 3.460 * [taylor]: Taking taylor expansion of -1/2 in y 3.460 * [backup-simplify]: Simplify -1/2 into -1/2 3.460 * [taylor]: Taking taylor expansion of y in y 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 1 into 1 3.460 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 3.460 * [backup-simplify]: Simplify -1/2 into -1/2 3.460 * [backup-simplify]: Simplify 0 into 0 3.460 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.462 * [backup-simplify]: Simplify (- 0) into 0 3.462 * [backup-simplify]: Simplify (+ 0 0) into 0 3.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 3.462 * [taylor]: Taking taylor expansion of 0 in y 3.462 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 0 into 0 3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.464 * [backup-simplify]: Simplify (- 0) into 0 3.465 * [backup-simplify]: Simplify (+ 0 0) into 0 3.465 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 3.465 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.465 * [taylor]: Taking taylor expansion of -1/8 in y 3.465 * [backup-simplify]: Simplify -1/8 into -1/8 3.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.466 * [taylor]: Taking taylor expansion of y in y 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 1 into 1 3.466 * [backup-simplify]: Simplify (* 1 1) into 1 3.466 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 3.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.467 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4) 3.467 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 3.467 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 3.467 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 3.467 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 3.467 * [taylor]: Taking taylor expansion of 1/4 in y 3.467 * [backup-simplify]: Simplify 1/4 into 1/4 3.467 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 3.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 3.467 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.467 * [taylor]: Taking taylor expansion of x in y 3.467 * [backup-simplify]: Simplify x into x 3.467 * [taylor]: Taking taylor expansion of y in y 3.467 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify 1 into 1 3.467 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.468 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.468 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 3.468 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 3.468 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 3.468 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 3.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 3.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 3.468 * [taylor]: Taking taylor expansion of 1/4 in x 3.468 * [backup-simplify]: Simplify 1/4 into 1/4 3.468 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 3.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.468 * [taylor]: Taking taylor expansion of x in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [taylor]: Taking taylor expansion of y in x 3.468 * [backup-simplify]: Simplify y into y 3.468 * [backup-simplify]: Simplify (+ 0 y) into y 3.468 * [backup-simplify]: Simplify (log y) into (log y) 3.468 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 3.468 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 3.468 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 3.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 3.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 3.468 * [taylor]: Taking taylor expansion of 1/4 in x 3.468 * [backup-simplify]: Simplify 1/4 into 1/4 3.468 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 3.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.468 * [taylor]: Taking taylor expansion of x in x 3.468 * [backup-simplify]: Simplify 0 into 0 3.468 * [backup-simplify]: Simplify 1 into 1 3.468 * [taylor]: Taking taylor expansion of y in x 3.468 * [backup-simplify]: Simplify y into y 3.468 * [backup-simplify]: Simplify (+ 0 y) into y 3.468 * [backup-simplify]: Simplify (log y) into (log y) 3.468 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 3.468 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 3.469 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 3.469 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 3.469 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 3.469 * [taylor]: Taking taylor expansion of 1/4 in y 3.469 * [backup-simplify]: Simplify 1/4 into 1/4 3.469 * [taylor]: Taking taylor expansion of (log y) in y 3.469 * [taylor]: Taking taylor expansion of y in y 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (log 1) into 0 3.469 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.469 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 3.469 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 3.469 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4) 3.470 * [backup-simplify]: Simplify (+ 0 0) into 0 3.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 3.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 3.471 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.471 * [taylor]: Taking taylor expansion of 0 in y 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.472 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 3.473 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify (* 1 1) into 1 3.473 * [backup-simplify]: Simplify (+ 1 0) into 1 3.474 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 3.474 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y)) 3.475 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 3.475 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 3.475 * [taylor]: Taking taylor expansion of 1/4 in y 3.475 * [backup-simplify]: Simplify 1/4 into 1/4 3.475 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 3.475 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 3.475 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 3.475 * [taylor]: Taking taylor expansion of 1/4 in y 3.475 * [backup-simplify]: Simplify 1/4 into 1/4 3.475 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.475 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.475 * [taylor]: Taking taylor expansion of y in y 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [backup-simplify]: Simplify (* 1 1) into 1 3.476 * [backup-simplify]: Simplify (* 1 1) into 1 3.476 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [backup-simplify]: Simplify (log 1) into 0 3.476 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 3.476 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y)) 3.476 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4) 3.476 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 3.477 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 3.477 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.478 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0 3.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.480 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0 3.482 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 3.483 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.483 * [taylor]: Taking taylor expansion of 0 in y 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.485 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 3.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0 3.486 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 3.487 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.489 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 3.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 3.491 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.491 * [backup-simplify]: Simplify 0 into 0 3.491 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (pow (* 1 x) 2)) (pow y 1/4)) into (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) 3.491 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) 3.492 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 3.492 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 3.492 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 3.492 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 3.492 * [taylor]: Taking taylor expansion of 1/4 in y 3.492 * [backup-simplify]: Simplify 1/4 into 1/4 3.492 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.492 * [taylor]: Taking taylor expansion of x in y 3.492 * [backup-simplify]: Simplify x into x 3.492 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.492 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.492 * [taylor]: Taking taylor expansion of y in y 3.492 * [backup-simplify]: Simplify 0 into 0 3.492 * [backup-simplify]: Simplify 1 into 1 3.492 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [backup-simplify]: Simplify (+ 0 1) into 1 3.493 * [backup-simplify]: Simplify (log 1) into 0 3.493 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 3.493 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y)) 3.493 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4) 3.493 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 3.493 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 3.493 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 3.493 * [taylor]: Taking taylor expansion of 1/4 in x 3.493 * [backup-simplify]: Simplify 1/4 into 1/4 3.493 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.493 * [taylor]: Taking taylor expansion of x in x 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (* 1 1) into 1 3.494 * [backup-simplify]: Simplify (/ 1 1) into 1 3.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.494 * [taylor]: Taking taylor expansion of y in x 3.494 * [backup-simplify]: Simplify y into y 3.494 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.494 * [backup-simplify]: Simplify (+ 1 0) into 1 3.494 * [backup-simplify]: Simplify (log 1) into 0 3.494 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.495 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 3.495 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.495 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 3.495 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 3.495 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 3.495 * [taylor]: Taking taylor expansion of 1/4 in x 3.495 * [backup-simplify]: Simplify 1/4 into 1/4 3.495 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.495 * [taylor]: Taking taylor expansion of x in x 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (* 1 1) into 1 3.495 * [backup-simplify]: Simplify (/ 1 1) into 1 3.495 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.495 * [taylor]: Taking taylor expansion of y in x 3.495 * [backup-simplify]: Simplify y into y 3.495 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.496 * [backup-simplify]: Simplify (+ 1 0) into 1 3.496 * [backup-simplify]: Simplify (log 1) into 0 3.496 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.496 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 3.496 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.496 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 3.496 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 3.496 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 3.496 * [taylor]: Taking taylor expansion of -1/2 in y 3.496 * [backup-simplify]: Simplify -1/2 into -1/2 3.496 * [taylor]: Taking taylor expansion of (log x) in y 3.496 * [taylor]: Taking taylor expansion of x in y 3.496 * [backup-simplify]: Simplify x into x 3.496 * [backup-simplify]: Simplify (log x) into (log x) 3.496 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 3.496 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.497 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.499 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 3.500 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.500 * [taylor]: Taking taylor expansion of 0 in y 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.500 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 3.501 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y) 3.503 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.504 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y)) 3.504 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) 3.504 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 3.504 * [taylor]: Taking taylor expansion of 1/4 in y 3.504 * [backup-simplify]: Simplify 1/4 into 1/4 3.504 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 3.504 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 3.504 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.504 * [taylor]: Taking taylor expansion of x in y 3.504 * [backup-simplify]: Simplify x into x 3.504 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.504 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 3.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 3.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.505 * [taylor]: Taking taylor expansion of y in y 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 3.506 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 3.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.507 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.508 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.508 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.510 * [backup-simplify]: Simplify (+ 0 0) into 0 3.511 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.512 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.513 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.513 * [taylor]: Taking taylor expansion of 0 in y 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 3.514 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) 3.514 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 3.514 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 3.514 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 3.514 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 3.514 * [taylor]: Taking taylor expansion of 1/4 in y 3.514 * [backup-simplify]: Simplify 1/4 into 1/4 3.514 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 3.514 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.514 * [taylor]: Taking taylor expansion of x in y 3.514 * [backup-simplify]: Simplify x into x 3.514 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.514 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.514 * [taylor]: Taking taylor expansion of y in y 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (/ 1 1) into 1 3.515 * [backup-simplify]: Simplify (- 1) into -1 3.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.515 * [backup-simplify]: Simplify (log -1) into (log -1) 3.516 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 3.516 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y))) 3.516 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y)))) 3.516 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 3.516 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 3.516 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 3.516 * [taylor]: Taking taylor expansion of 1/4 in x 3.516 * [backup-simplify]: Simplify 1/4 into 1/4 3.516 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.516 * [taylor]: Taking taylor expansion of x in x 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.517 * [backup-simplify]: Simplify (* 1 1) into 1 3.517 * [backup-simplify]: Simplify (/ 1 1) into 1 3.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.517 * [taylor]: Taking taylor expansion of y in x 3.517 * [backup-simplify]: Simplify y into y 3.517 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.517 * [backup-simplify]: Simplify (+ 1 0) into 1 3.517 * [backup-simplify]: Simplify (log 1) into 0 3.518 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.518 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 3.518 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.518 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 3.518 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 3.518 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 3.518 * [taylor]: Taking taylor expansion of 1/4 in x 3.518 * [backup-simplify]: Simplify 1/4 into 1/4 3.518 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 3.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.518 * [taylor]: Taking taylor expansion of x in x 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.518 * [backup-simplify]: Simplify (* 1 1) into 1 3.518 * [backup-simplify]: Simplify (/ 1 1) into 1 3.518 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.518 * [taylor]: Taking taylor expansion of y in x 3.518 * [backup-simplify]: Simplify y into y 3.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.519 * [backup-simplify]: Simplify (+ 1 0) into 1 3.519 * [backup-simplify]: Simplify (log 1) into 0 3.519 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.519 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 3.519 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.519 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 3.519 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 3.519 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 3.519 * [taylor]: Taking taylor expansion of -1/2 in y 3.519 * [backup-simplify]: Simplify -1/2 into -1/2 3.519 * [taylor]: Taking taylor expansion of (log x) in y 3.519 * [taylor]: Taking taylor expansion of x in y 3.520 * [backup-simplify]: Simplify x into x 3.520 * [backup-simplify]: Simplify (log x) into (log x) 3.520 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 3.520 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 3.520 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.522 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 3.522 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.522 * [taylor]: Taking taylor expansion of 0 in y 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 3.524 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 3.524 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.525 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 3.526 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y) 3.527 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.527 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y))) 3.528 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)))) into (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) 3.528 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 3.528 * [taylor]: Taking taylor expansion of -1/4 in y 3.528 * [backup-simplify]: Simplify -1/4 into -1/4 3.528 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 3.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 3.528 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.528 * [taylor]: Taking taylor expansion of x in y 3.528 * [backup-simplify]: Simplify x into x 3.528 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.528 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 3.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 3.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 3.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.528 * [taylor]: Taking taylor expansion of y in y 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 3.529 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 3.529 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 3.531 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 3.532 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.533 * [backup-simplify]: Simplify (- 0) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.535 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.536 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 3.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 3.537 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.537 * [taylor]: Taking taylor expansion of 0 in y 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2) 3.538 * * * [progress]: simplifying candidates 3.543 * [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))) (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))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y))))) (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (sqrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (cbrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* 1 1) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* x x) y))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt 1)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) 1) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt 1) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* 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)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 3.546 * * [simplify]: Extracting # 0 : cost 0 3.546 * * [simplify]: Extracting # 1 : cost 0 3.546 * * [simplify]: Extracting # 2 : cost 0 3.546 * * [simplify]: Extracting # 3 : cost 0 3.546 * * [simplify]: Extracting # 4 : cost 0 3.546 * * [simplify]: Extracting # 5 : cost 0 3.546 * * [simplify]: Extracting # 6 : cost 0 3.547 * * [simplify]: Extracting # 7 : cost 0 3.547 * * [simplify]: Extracting # 8 : cost 0 3.547 * * [simplify]: Extracting # 9 : cost 0 3.547 * * [simplify]: Extracting # 10 : cost 0 3.547 * * [simplify]: Extracting # 11 : cost 0 3.547 * * [simplify]: iteration 0 : 138 enodes (cost 2475 ) 3.583 * * [simplify]: Extracting # 0 : cost 0 3.583 * * [simplify]: Extracting # 1 : cost 0 3.584 * * [simplify]: Extracting # 2 : cost 0 3.584 * * [simplify]: Extracting # 3 : cost 0 3.584 * * [simplify]: Extracting # 4 : cost 0 3.584 * * [simplify]: iteration 1 : 262 enodes (cost 1570 ) 3.648 * * [simplify]: Extracting # 0 : cost 0 3.649 * * [simplify]: Extracting # 1 : cost 0 3.649 * * [simplify]: Extracting # 2 : cost 0 3.650 * * [simplify]: Extracting # 3 : cost 0 3.650 * * [simplify]: Extracting # 4 : cost 0 3.651 * * [simplify]: iteration 2 : 631 enodes (cost 1419 ) 3.910 * * [simplify]: Extracting # 0 : cost 0 3.911 * * [simplify]: Extracting # 1 : cost 0 3.913 * * [simplify]: Extracting # 2 : cost 0 3.914 * * [simplify]: Extracting # 3 : cost 0 3.915 * * [simplify]: Extracting # 4 : cost 0 3.917 * * [simplify]: iteration 3 : 1554 enodes (cost 1383 ) 5.321 * * [simplify]: Extracting # 0 : cost 0 5.326 * * [simplify]: Extracting # 1 : cost 0 5.330 * * [simplify]: Extracting # 2 : cost 0 5.333 * * [simplify]: Extracting # 3 : cost 0 5.336 * * [simplify]: Extracting # 4 : cost 0 5.340 * * [simplify]: iteration 4 : 4280 enodes (cost 1351 ) 6.540 * * [simplify]: Extracting # 0 : cost 0 6.546 * * [simplify]: Extracting # 1 : cost 0 6.550 * * [simplify]: Extracting # 2 : cost 0 6.555 * * [simplify]: Extracting # 3 : cost 0 6.560 * * [simplify]: Extracting # 4 : cost 0 6.564 * * [simplify]: iteration done: 5001 enodes (cost 1337 ) 6.565 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 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 (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 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 (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ y (* x x)) (sqrt (+ y (* x x))) (pow (sqrt (+ (* x x) y)) 4) (+ y (* x x)) (pow (sqrt (+ (* x x) y)) 4) 2 (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (+ y (* x x)) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (* (sqrt (sqrt (+ (pow y 3) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (* y y))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x))))))) (* (sqrt (sqrt (+ (pow y 3) (pow x 6)))) (sqrt (sqrt (- (pow x 4) (* y y))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x))))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 2) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 5) (* (sqrt (sqrt (+ (* x x) y))) (fabs (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (fabs (cbrt (+ (* x x) y))))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ y (* x x)))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ y (* x x)))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ y (* x x)))) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ y (* x x))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ y (* x x))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ y (* x x))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow y 3) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow y 3) (pow x 6))))) (* (sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 2) (cbrt (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (fabs (cbrt (+ (* x x) y)))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ (pow y 3) (pow x 6)))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x)))))) (sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (- (* x x) y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 6.566 * * * [progress]: adding candidates to table 6.824 * * [progress]: iteration 3 / 4 6.825 * * * [progress]: picking best candidate 6.827 * * * * [pick]: Picked # 6.827 * * * [progress]: localizing error 6.831 * * * [progress]: generating rewritten candidates 6.831 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.842 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.857 * * * [progress]: generating series expansions 6.857 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.857 * [backup-simplify]: Simplify (- (* (/ y x) -1/2) x) into (- (+ x (* 1/2 (/ y x)))) 6.857 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (y x) around 0 6.857 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 6.857 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 6.857 * [taylor]: Taking taylor expansion of x in x 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 6.857 * [taylor]: Taking taylor expansion of 1/2 in x 6.857 * [backup-simplify]: Simplify 1/2 into 1/2 6.857 * [taylor]: Taking taylor expansion of (/ y x) in x 6.857 * [taylor]: Taking taylor expansion of y in x 6.857 * [backup-simplify]: Simplify y into y 6.857 * [taylor]: Taking taylor expansion of x in x 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [backup-simplify]: Simplify (/ y 1) into y 6.857 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 6.857 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.857 * [taylor]: Taking taylor expansion of x in y 6.857 * [backup-simplify]: Simplify x into x 6.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.857 * [taylor]: Taking taylor expansion of 1/2 in y 6.857 * [backup-simplify]: Simplify 1/2 into 1/2 6.857 * [taylor]: Taking taylor expansion of (/ y x) in y 6.857 * [taylor]: Taking taylor expansion of y in y 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 1 into 1 6.857 * [taylor]: Taking taylor expansion of x in y 6.857 * [backup-simplify]: Simplify x into x 6.857 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.857 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 6.857 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 6.857 * [taylor]: Taking taylor expansion of x in y 6.857 * [backup-simplify]: Simplify x into x 6.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 6.858 * [taylor]: Taking taylor expansion of 1/2 in y 6.858 * [backup-simplify]: Simplify 1/2 into 1/2 6.858 * [taylor]: Taking taylor expansion of (/ y x) in y 6.858 * [taylor]: Taking taylor expansion of y in y 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [taylor]: Taking taylor expansion of x in y 6.858 * [backup-simplify]: Simplify x into x 6.858 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.858 * [backup-simplify]: Simplify (+ x 0) into x 6.858 * [backup-simplify]: Simplify (- x) into (- x) 6.858 * [taylor]: Taking taylor expansion of (- x) in x 6.858 * [taylor]: Taking taylor expansion of x in x 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 6.858 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 6.858 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 x))) into (- (* 1/2 (/ 1 x))) 6.858 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 x))) in x 6.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 6.858 * [taylor]: Taking taylor expansion of 1/2 in x 6.858 * [backup-simplify]: Simplify 1/2 into 1/2 6.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.858 * [taylor]: Taking taylor expansion of x in x 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.858 * [backup-simplify]: Simplify (/ 1 1) into 1 6.859 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.859 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.859 * [backup-simplify]: Simplify -1/2 into -1/2 6.859 * [backup-simplify]: Simplify (- 0) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 6.860 * [backup-simplify]: Simplify (+ 0 0) into 0 6.860 * [backup-simplify]: Simplify (- 0) into 0 6.860 * [taylor]: Taking taylor expansion of 0 in x 6.860 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.861 * [backup-simplify]: Simplify (- 0) into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (- 1) into -1 6.861 * [backup-simplify]: Simplify -1 into -1 6.862 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.862 * [backup-simplify]: Simplify (+ 0 0) into 0 6.863 * [backup-simplify]: Simplify (- 0) into 0 6.863 * [taylor]: Taking taylor expansion of 0 in x 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.865 * [backup-simplify]: Simplify (+ 0 0) into 0 6.865 * [backup-simplify]: Simplify (- 0) into 0 6.865 * [taylor]: Taking taylor expansion of 0 in x 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify (+ (* -1 (* x 1)) (* -1/2 (* (/ 1 x) y))) into (- (+ x (* 1/2 (/ y x)))) 6.867 * [backup-simplify]: Simplify (- (* (/ (/ 1 y) (/ 1 x)) -1/2) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 6.867 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 6.867 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 6.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 6.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.867 * [taylor]: Taking taylor expansion of 1/2 in x 6.867 * [backup-simplify]: Simplify 1/2 into 1/2 6.867 * [taylor]: Taking taylor expansion of (/ x y) in x 6.867 * [taylor]: Taking taylor expansion of x in x 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [taylor]: Taking taylor expansion of y in x 6.867 * [backup-simplify]: Simplify y into y 6.867 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.867 * [taylor]: Taking taylor expansion of x in x 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.867 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 6.868 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.868 * [taylor]: Taking taylor expansion of 1/2 in y 6.868 * [backup-simplify]: Simplify 1/2 into 1/2 6.868 * [taylor]: Taking taylor expansion of (/ x y) in y 6.868 * [taylor]: Taking taylor expansion of x in y 6.868 * [backup-simplify]: Simplify x into x 6.868 * [taylor]: Taking taylor expansion of y in y 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (/ x 1) into x 6.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.868 * [taylor]: Taking taylor expansion of x in y 6.868 * [backup-simplify]: Simplify x into x 6.868 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.868 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 6.868 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 6.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.868 * [taylor]: Taking taylor expansion of 1/2 in y 6.868 * [backup-simplify]: Simplify 1/2 into 1/2 6.868 * [taylor]: Taking taylor expansion of (/ x y) in y 6.868 * [taylor]: Taking taylor expansion of x in y 6.868 * [backup-simplify]: Simplify x into x 6.868 * [taylor]: Taking taylor expansion of y in y 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (/ x 1) into x 6.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.868 * [taylor]: Taking taylor expansion of x in y 6.868 * [backup-simplify]: Simplify x into x 6.868 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.868 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 6.868 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 6.868 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 6.868 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 6.868 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.868 * [taylor]: Taking taylor expansion of 1/2 in x 6.868 * [backup-simplify]: Simplify 1/2 into 1/2 6.868 * [taylor]: Taking taylor expansion of x in x 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 6.869 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 6.869 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 6.869 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 6.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.869 * [taylor]: Taking taylor expansion of x in x 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.870 * [backup-simplify]: Simplify (/ 1 1) into 1 6.870 * [backup-simplify]: Simplify (- 1) into -1 6.870 * [backup-simplify]: Simplify -1 into -1 6.870 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.870 * [backup-simplify]: Simplify (- 0) into 0 6.870 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.872 * [backup-simplify]: Simplify (+ 0 0) into 0 6.872 * [backup-simplify]: Simplify (- 0) into 0 6.872 * [taylor]: Taking taylor expansion of 0 in x 6.872 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (- 0) into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.873 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.873 * [backup-simplify]: Simplify -1/2 into -1/2 6.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.878 * [backup-simplify]: Simplify (+ 0 0) into 0 6.878 * [backup-simplify]: Simplify (- 0) into 0 6.878 * [taylor]: Taking taylor expansion of 0 in x 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (- 0) into 0 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.882 * [backup-simplify]: Simplify (+ 0 0) into 0 6.882 * [backup-simplify]: Simplify (- 0) into 0 6.882 * [taylor]: Taking taylor expansion of 0 in x 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.883 * [backup-simplify]: Simplify (- 0) into 0 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* -1 (* (/ 1 (/ 1 x)) 1))) into (- (+ x (* 1/2 (/ y x)))) 6.883 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 6.883 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 6.883 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 6.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.884 * [taylor]: Taking taylor expansion of x in x 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (/ 1 1) into 1 6.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 6.884 * [taylor]: Taking taylor expansion of 1/2 in x 6.884 * [backup-simplify]: Simplify 1/2 into 1/2 6.884 * [taylor]: Taking taylor expansion of (/ x y) in x 6.884 * [taylor]: Taking taylor expansion of x in x 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.884 * [taylor]: Taking taylor expansion of y in x 6.884 * [backup-simplify]: Simplify y into y 6.884 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.884 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 6.884 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.884 * [taylor]: Taking taylor expansion of x in y 6.884 * [backup-simplify]: Simplify x into x 6.884 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.884 * [taylor]: Taking taylor expansion of 1/2 in y 6.884 * [backup-simplify]: Simplify 1/2 into 1/2 6.884 * [taylor]: Taking taylor expansion of (/ x y) in y 6.884 * [taylor]: Taking taylor expansion of x in y 6.884 * [backup-simplify]: Simplify x into x 6.884 * [taylor]: Taking taylor expansion of y in y 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (/ x 1) into x 6.884 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 6.884 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.884 * [taylor]: Taking taylor expansion of x in y 6.884 * [backup-simplify]: Simplify x into x 6.884 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 6.884 * [taylor]: Taking taylor expansion of 1/2 in y 6.884 * [backup-simplify]: Simplify 1/2 into 1/2 6.884 * [taylor]: Taking taylor expansion of (/ x y) in y 6.884 * [taylor]: Taking taylor expansion of x in y 6.884 * [backup-simplify]: Simplify x into x 6.884 * [taylor]: Taking taylor expansion of y in y 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (/ x 1) into x 6.885 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 6.885 * [backup-simplify]: Simplify (- (* 1/2 x)) into (- (* 1/2 x)) 6.885 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 x))) into (- (* 1/2 x)) 6.885 * [taylor]: Taking taylor expansion of (- (* 1/2 x)) in x 6.885 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.885 * [taylor]: Taking taylor expansion of 1/2 in x 6.885 * [backup-simplify]: Simplify 1/2 into 1/2 6.885 * [taylor]: Taking taylor expansion of x in x 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 6.886 * [backup-simplify]: Simplify (- 0) into 0 6.886 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 6.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.886 * [taylor]: Taking taylor expansion of x in x 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (/ 1 1) into 1 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.887 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.888 * [backup-simplify]: Simplify (- 0) into 0 6.888 * [backup-simplify]: Simplify (+ 0 0) into 0 6.888 * [taylor]: Taking taylor expansion of 0 in x 6.888 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.889 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.889 * [backup-simplify]: Simplify (- 1/2) into -1/2 6.889 * [backup-simplify]: Simplify -1/2 into -1/2 6.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.892 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ 0 0) into 0 6.892 * [taylor]: Taking taylor expansion of 0 in x 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.893 * [backup-simplify]: Simplify (- 0) into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.896 * [backup-simplify]: Simplify (- 0) into 0 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [taylor]: Taking taylor expansion of 0 in x 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* 1 (* (/ 1 (/ 1 (- x))) 1))) into (- (+ x (* 1/2 (/ y x)))) 6.897 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.897 * [backup-simplify]: Simplify (* (/ y x) -1/2) into (* -1/2 (/ y x)) 6.897 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 6.897 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 6.897 * [taylor]: Taking taylor expansion of -1/2 in x 6.897 * [backup-simplify]: Simplify -1/2 into -1/2 6.897 * [taylor]: Taking taylor expansion of (/ y x) in x 6.897 * [taylor]: Taking taylor expansion of y in x 6.897 * [backup-simplify]: Simplify y into y 6.897 * [taylor]: Taking taylor expansion of x in x 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [backup-simplify]: Simplify (/ y 1) into y 6.897 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 6.897 * [taylor]: Taking taylor expansion of -1/2 in y 6.897 * [backup-simplify]: Simplify -1/2 into -1/2 6.897 * [taylor]: Taking taylor expansion of (/ y x) in y 6.897 * [taylor]: Taking taylor expansion of y in y 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of x in y 6.897 * [backup-simplify]: Simplify x into x 6.897 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.897 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 6.897 * [taylor]: Taking taylor expansion of -1/2 in y 6.897 * [backup-simplify]: Simplify -1/2 into -1/2 6.897 * [taylor]: Taking taylor expansion of (/ y x) in y 6.897 * [taylor]: Taking taylor expansion of y in y 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.897 * [taylor]: Taking taylor expansion of x in y 6.897 * [backup-simplify]: Simplify x into x 6.897 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.897 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 6.897 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 6.897 * [taylor]: Taking taylor expansion of -1/2 in x 6.897 * [backup-simplify]: Simplify -1/2 into -1/2 6.897 * [taylor]: Taking taylor expansion of x in x 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.898 * [backup-simplify]: Simplify -1/2 into -1/2 6.898 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 6.898 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 6.898 * [taylor]: Taking taylor expansion of 0 in x 6.898 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.899 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.899 * [taylor]: Taking taylor expansion of 0 in x 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.900 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.901 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 6.901 * [taylor]: Taking taylor expansion of 0 in x 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 6.901 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) -1/2) into (* -1/2 (/ x y)) 6.901 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 6.901 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 6.902 * [taylor]: Taking taylor expansion of -1/2 in x 6.902 * [backup-simplify]: Simplify -1/2 into -1/2 6.902 * [taylor]: Taking taylor expansion of (/ x y) in x 6.902 * [taylor]: Taking taylor expansion of x in x 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [taylor]: Taking taylor expansion of y in x 6.902 * [backup-simplify]: Simplify y into y 6.902 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.902 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 6.902 * [taylor]: Taking taylor expansion of -1/2 in y 6.902 * [backup-simplify]: Simplify -1/2 into -1/2 6.902 * [taylor]: Taking taylor expansion of (/ x y) in y 6.902 * [taylor]: Taking taylor expansion of x in y 6.902 * [backup-simplify]: Simplify x into x 6.902 * [taylor]: Taking taylor expansion of y in y 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (/ x 1) into x 6.902 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 6.902 * [taylor]: Taking taylor expansion of -1/2 in y 6.902 * [backup-simplify]: Simplify -1/2 into -1/2 6.902 * [taylor]: Taking taylor expansion of (/ x y) in y 6.902 * [taylor]: Taking taylor expansion of x in y 6.902 * [backup-simplify]: Simplify x into x 6.902 * [taylor]: Taking taylor expansion of y in y 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (/ x 1) into x 6.902 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 6.902 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 6.902 * [taylor]: Taking taylor expansion of -1/2 in x 6.902 * [backup-simplify]: Simplify -1/2 into -1/2 6.902 * [taylor]: Taking taylor expansion of x in x 6.902 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify 1 into 1 6.902 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 6.903 * [backup-simplify]: Simplify -1/2 into -1/2 6.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.903 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 6.903 * [taylor]: Taking taylor expansion of 0 in x 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.904 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.905 * [taylor]: Taking taylor expansion of 0 in x 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.908 * [taylor]: Taking taylor expansion of 0 in x 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 6.908 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) into (* -1/2 (/ x y)) 6.908 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 6.908 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 6.908 * [taylor]: Taking taylor expansion of -1/2 in x 6.908 * [backup-simplify]: Simplify -1/2 into -1/2 6.908 * [taylor]: Taking taylor expansion of (/ x y) in x 6.908 * [taylor]: Taking taylor expansion of x in x 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [taylor]: Taking taylor expansion of y in x 6.908 * [backup-simplify]: Simplify y into y 6.908 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.908 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 6.908 * [taylor]: Taking taylor expansion of -1/2 in y 6.908 * [backup-simplify]: Simplify -1/2 into -1/2 6.908 * [taylor]: Taking taylor expansion of (/ x y) in y 6.908 * [taylor]: Taking taylor expansion of x in y 6.908 * [backup-simplify]: Simplify x into x 6.908 * [taylor]: Taking taylor expansion of y in y 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (/ x 1) into x 6.908 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 6.908 * [taylor]: Taking taylor expansion of -1/2 in y 6.908 * [backup-simplify]: Simplify -1/2 into -1/2 6.908 * [taylor]: Taking taylor expansion of (/ x y) in y 6.908 * [taylor]: Taking taylor expansion of x in y 6.908 * [backup-simplify]: Simplify x into x 6.908 * [taylor]: Taking taylor expansion of y in y 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (/ x 1) into x 6.908 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 6.909 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 6.909 * [taylor]: Taking taylor expansion of -1/2 in x 6.909 * [backup-simplify]: Simplify -1/2 into -1/2 6.909 * [taylor]: Taking taylor expansion of x in x 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.909 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 6.909 * [backup-simplify]: Simplify -1/2 into -1/2 6.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 6.910 * [taylor]: Taking taylor expansion of 0 in x 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.912 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 6.912 * [taylor]: Taking taylor expansion of 0 in x 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.914 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.914 * [taylor]: Taking taylor expansion of 0 in x 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify 0 into 0 6.914 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 6.914 * * * [progress]: simplifying candidates 6.915 * [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) (* (/ y x) -1/2) (+ (- (log y) (log x)) (log -1/2)) (+ (log (/ y x)) (log -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* -1/2 -1/2) -1/2)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (* (/ y x) 1) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ 1 x) -1/2) (* y -1/2) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 6.916 * * [simplify]: Extracting # 0 : cost 0 6.916 * * [simplify]: Extracting # 1 : cost 0 6.916 * * [simplify]: Extracting # 2 : cost 0 6.916 * * [simplify]: Extracting # 3 : cost 0 6.916 * * [simplify]: Extracting # 4 : cost 0 6.916 * * [simplify]: Extracting # 5 : cost 0 6.916 * * [simplify]: Extracting # 6 : cost 0 6.916 * * [simplify]: iteration 0 : 91 enodes (cost 434 ) 6.939 * * [simplify]: Extracting # 0 : cost 0 6.939 * * [simplify]: Extracting # 1 : cost 0 6.940 * * [simplify]: Extracting # 2 : cost 0 6.940 * * [simplify]: Extracting # 3 : cost 0 6.940 * * [simplify]: Extracting # 4 : cost 0 6.940 * * [simplify]: iteration 1 : 209 enodes (cost 400 ) 7.018 * * [simplify]: Extracting # 0 : cost 0 7.019 * * [simplify]: Extracting # 1 : cost 0 7.020 * * [simplify]: Extracting # 2 : cost 0 7.020 * * [simplify]: Extracting # 3 : cost 0 7.021 * * [simplify]: iteration 2 : 570 enodes (cost 373 ) 7.391 * * [simplify]: Extracting # 0 : cost 0 7.393 * * [simplify]: Extracting # 1 : cost 0 7.395 * * [simplify]: Extracting # 2 : cost 0 7.397 * * [simplify]: Extracting # 3 : cost 0 7.398 * * [simplify]: Extracting # 4 : cost 0 7.400 * * [simplify]: Extracting # 5 : cost 0 7.401 * * [simplify]: iteration 3 : 1747 enodes (cost 371 ) 8.588 * * [simplify]: Extracting # 0 : cost 0 8.594 * * [simplify]: Extracting # 1 : cost 0 8.599 * * [simplify]: Extracting # 2 : cost 0 8.604 * * [simplify]: Extracting # 3 : cost 0 8.611 * * [simplify]: Extracting # 4 : cost 0 8.615 * * [simplify]: iteration done: 5000 enodes (cost 371 ) 8.616 * [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 (- (* -1/2 (/ y x)) 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)) (+ x (* (/ y x) -1/2)) (- x) (* (/ y x) -1/2) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* (/ y x) -1/2)) (* (pow (/ y x) 3) -1/8) (* (pow (/ y x) 3) -1/8) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* (pow (/ y x) 3) -1/8) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (/ y x) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (/ -1/2 x) (* -1/2 y) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (- (* (/ y x) -1/2) x) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) 8.616 * * * [progress]: adding candidates to table 8.688 * * [progress]: iteration 4 / 4 8.688 * * * [progress]: picking best candidate 8.689 * * * * [pick]: Picked # 8.689 * * * [progress]: localizing error 8.694 * * * [progress]: generating rewritten candidates 8.694 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.700 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 8.714 * * * [progress]: generating series expansions 8.714 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.714 * [backup-simplify]: Simplify (+ x (* 1/2 (/ y x))) into (+ x (* 1/2 (/ y x))) 8.714 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 8.714 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 8.714 * [taylor]: Taking taylor expansion of x in y 8.714 * [backup-simplify]: Simplify x into x 8.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.714 * [taylor]: Taking taylor expansion of 1/2 in y 8.714 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of (/ y x) in y 8.715 * [taylor]: Taking taylor expansion of y in y 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of x in y 8.715 * [backup-simplify]: Simplify x into x 8.715 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.715 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 8.715 * [taylor]: Taking taylor expansion of x in x 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 8.715 * [taylor]: Taking taylor expansion of 1/2 in x 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of (/ y x) in x 8.715 * [taylor]: Taking taylor expansion of y in x 8.715 * [backup-simplify]: Simplify y into y 8.715 * [taylor]: Taking taylor expansion of x in x 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (/ y 1) into y 8.715 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 8.715 * [taylor]: Taking taylor expansion of x in x 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 8.715 * [taylor]: Taking taylor expansion of 1/2 in x 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of (/ y x) in x 8.715 * [taylor]: Taking taylor expansion of y in x 8.715 * [backup-simplify]: Simplify y into y 8.715 * [taylor]: Taking taylor expansion of x in x 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (/ y 1) into y 8.715 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 8.715 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 8.715 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 8.715 * [taylor]: Taking taylor expansion of 1/2 in y 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of y in y 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (* 1/2 0) into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.719 * [taylor]: Taking taylor expansion of 0 in y 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.720 * [backup-simplify]: Simplify 1/2 into 1/2 8.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 8.721 * [backup-simplify]: Simplify (+ 1 0) into 1 8.721 * [taylor]: Taking taylor expansion of 1 in y 8.721 * [backup-simplify]: Simplify 1 into 1 8.721 * [backup-simplify]: Simplify 1 into 1 8.721 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.722 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.724 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [taylor]: Taking taylor expansion of 0 in y 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 8.725 * [backup-simplify]: Simplify (+ (/ 1 x) (* 1/2 (/ (/ 1 y) (/ 1 x)))) into (+ (* 1/2 (/ x y)) (/ 1 x)) 8.725 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 8.725 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 8.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.725 * [taylor]: Taking taylor expansion of 1/2 in y 8.725 * [backup-simplify]: Simplify 1/2 into 1/2 8.725 * [taylor]: Taking taylor expansion of (/ x y) in y 8.725 * [taylor]: Taking taylor expansion of x in y 8.725 * [backup-simplify]: Simplify x into x 8.725 * [taylor]: Taking taylor expansion of y in y 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (/ x 1) into x 8.725 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.725 * [taylor]: Taking taylor expansion of x in y 8.725 * [backup-simplify]: Simplify x into x 8.725 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.725 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 8.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.725 * [taylor]: Taking taylor expansion of 1/2 in x 8.725 * [backup-simplify]: Simplify 1/2 into 1/2 8.725 * [taylor]: Taking taylor expansion of (/ x y) in x 8.725 * [taylor]: Taking taylor expansion of x in x 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [taylor]: Taking taylor expansion of y in x 8.725 * [backup-simplify]: Simplify y into y 8.725 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.725 * [taylor]: Taking taylor expansion of x in x 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (/ 1 1) into 1 8.726 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 8.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.726 * [taylor]: Taking taylor expansion of 1/2 in x 8.726 * [backup-simplify]: Simplify 1/2 into 1/2 8.726 * [taylor]: Taking taylor expansion of (/ x y) in x 8.726 * [taylor]: Taking taylor expansion of x in x 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 1 into 1 8.726 * [taylor]: Taking taylor expansion of y in x 8.726 * [backup-simplify]: Simplify y into y 8.726 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.726 * [taylor]: Taking taylor expansion of x in x 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 1 into 1 8.726 * [backup-simplify]: Simplify (/ 1 1) into 1 8.726 * [backup-simplify]: Simplify (+ 0 1) into 1 8.726 * [taylor]: Taking taylor expansion of 1 in y 8.726 * [backup-simplify]: Simplify 1 into 1 8.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.727 * [taylor]: Taking taylor expansion of 0 in y 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 8.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 8.728 * [taylor]: Taking taylor expansion of 1/2 in y 8.728 * [backup-simplify]: Simplify 1/2 into 1/2 8.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.728 * [taylor]: Taking taylor expansion of y in y 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 1 into 1 8.728 * [backup-simplify]: Simplify (/ 1 1) into 1 8.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.728 * [backup-simplify]: Simplify 1/2 into 1/2 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 8.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [taylor]: Taking taylor expansion of 0 in y 8.729 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 8.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ 0 0) into 0 8.732 * [taylor]: Taking taylor expansion of 0 in y 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 8.732 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x))))) into (- (* 1/2 (/ x y)) (/ 1 x)) 8.732 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 8.732 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 8.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.732 * [taylor]: Taking taylor expansion of 1/2 in y 8.732 * [backup-simplify]: Simplify 1/2 into 1/2 8.732 * [taylor]: Taking taylor expansion of (/ x y) in y 8.732 * [taylor]: Taking taylor expansion of x in y 8.732 * [backup-simplify]: Simplify x into x 8.732 * [taylor]: Taking taylor expansion of y in y 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.732 * [backup-simplify]: Simplify (/ x 1) into x 8.732 * [taylor]: Taking taylor expansion of (/ 1 x) in y 8.732 * [taylor]: Taking taylor expansion of x in y 8.732 * [backup-simplify]: Simplify x into x 8.732 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.732 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 8.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.732 * [taylor]: Taking taylor expansion of 1/2 in x 8.732 * [backup-simplify]: Simplify 1/2 into 1/2 8.732 * [taylor]: Taking taylor expansion of (/ x y) in x 8.732 * [taylor]: Taking taylor expansion of x in x 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.732 * [taylor]: Taking taylor expansion of y in x 8.732 * [backup-simplify]: Simplify y into y 8.732 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.732 * [taylor]: Taking taylor expansion of x in x 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ 1 1) into 1 8.733 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 8.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.733 * [taylor]: Taking taylor expansion of 1/2 in x 8.733 * [backup-simplify]: Simplify 1/2 into 1/2 8.733 * [taylor]: Taking taylor expansion of (/ x y) in x 8.733 * [taylor]: Taking taylor expansion of x in x 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [taylor]: Taking taylor expansion of y in x 8.733 * [backup-simplify]: Simplify y into y 8.733 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.733 * [taylor]: Taking taylor expansion of x in x 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ 1 1) into 1 8.733 * [backup-simplify]: Simplify (- 1) into -1 8.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.734 * [taylor]: Taking taylor expansion of -1 in y 8.734 * [backup-simplify]: Simplify -1 into -1 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.734 * [backup-simplify]: Simplify (- 0) into 0 8.734 * [backup-simplify]: Simplify (+ 0 0) into 0 8.734 * [taylor]: Taking taylor expansion of 0 in y 8.734 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify -1 into -1 8.735 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (- 0) into 0 8.735 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 8.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 8.735 * [taylor]: Taking taylor expansion of 1/2 in y 8.735 * [backup-simplify]: Simplify 1/2 into 1/2 8.735 * [taylor]: Taking taylor expansion of (/ 1 y) in y 8.735 * [taylor]: Taking taylor expansion of y in y 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 1 into 1 8.736 * [backup-simplify]: Simplify (/ 1 1) into 1 8.736 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.736 * [backup-simplify]: Simplify 1/2 into 1/2 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 8.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 8.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (- 0) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [taylor]: Taking taylor expansion of 0 in y 8.737 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 8.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 8.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (- 0) into 0 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.740 * [taylor]: Taking taylor expansion of 0 in y 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 8.740 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 8.740 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 8.740 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 8.740 * [taylor]: Taking taylor expansion of 1/2 in x 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ y x) in x 8.740 * [taylor]: Taking taylor expansion of y in x 8.740 * [backup-simplify]: Simplify y into y 8.740 * [taylor]: Taking taylor expansion of x in x 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 1 into 1 8.740 * [backup-simplify]: Simplify (/ y 1) into y 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.740 * [taylor]: Taking taylor expansion of 1/2 in y 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ y x) in y 8.740 * [taylor]: Taking taylor expansion of y in y 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 1 into 1 8.740 * [taylor]: Taking taylor expansion of x in y 8.740 * [backup-simplify]: Simplify x into x 8.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 8.740 * [taylor]: Taking taylor expansion of 1/2 in y 8.740 * [backup-simplify]: Simplify 1/2 into 1/2 8.740 * [taylor]: Taking taylor expansion of (/ y x) in y 8.740 * [taylor]: Taking taylor expansion of y in y 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 1 into 1 8.741 * [taylor]: Taking taylor expansion of x in y 8.741 * [backup-simplify]: Simplify x into x 8.741 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.741 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 8.741 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 8.741 * [taylor]: Taking taylor expansion of 1/2 in x 8.741 * [backup-simplify]: Simplify 1/2 into 1/2 8.741 * [taylor]: Taking taylor expansion of x in x 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.741 * [backup-simplify]: Simplify 1/2 into 1/2 8.741 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 8.741 * [taylor]: Taking taylor expansion of 0 in x 8.741 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.742 * [backup-simplify]: Simplify 0 into 0 8.742 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.743 * [taylor]: Taking taylor expansion of 0 in x 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.743 * [backup-simplify]: Simplify 0 into 0 8.743 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.744 * [taylor]: Taking taylor expansion of 0 in x 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.744 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 8.745 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 8.745 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 8.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.745 * [taylor]: Taking taylor expansion of 1/2 in x 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of (/ x y) in x 8.745 * [taylor]: Taking taylor expansion of x in x 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [taylor]: Taking taylor expansion of y in x 8.745 * [backup-simplify]: Simplify y into y 8.745 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.745 * [taylor]: Taking taylor expansion of 1/2 in y 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of (/ x y) in y 8.745 * [taylor]: Taking taylor expansion of x in y 8.745 * [backup-simplify]: Simplify x into x 8.745 * [taylor]: Taking taylor expansion of y in y 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ x 1) into x 8.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.745 * [taylor]: Taking taylor expansion of 1/2 in y 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of (/ x y) in y 8.745 * [taylor]: Taking taylor expansion of x in y 8.745 * [backup-simplify]: Simplify x into x 8.745 * [taylor]: Taking taylor expansion of y in y 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ x 1) into x 8.745 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 8.745 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.745 * [taylor]: Taking taylor expansion of 1/2 in x 8.745 * [backup-simplify]: Simplify 1/2 into 1/2 8.745 * [taylor]: Taking taylor expansion of x in x 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.746 * [backup-simplify]: Simplify 1/2 into 1/2 8.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 8.747 * [taylor]: Taking taylor expansion of 0 in x 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.747 * [backup-simplify]: Simplify 0 into 0 8.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.749 * [taylor]: Taking taylor expansion of 0 in x 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.749 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.751 * [taylor]: Taking taylor expansion of 0 in x 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 8.752 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 8.752 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 8.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 8.752 * [taylor]: Taking taylor expansion of 1/2 in x 8.752 * [backup-simplify]: Simplify 1/2 into 1/2 8.752 * [taylor]: Taking taylor expansion of (/ x y) in x 8.752 * [taylor]: Taking taylor expansion of x in x 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [taylor]: Taking taylor expansion of y in x 8.752 * [backup-simplify]: Simplify y into y 8.752 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.752 * [taylor]: Taking taylor expansion of 1/2 in y 8.752 * [backup-simplify]: Simplify 1/2 into 1/2 8.752 * [taylor]: Taking taylor expansion of (/ x y) in y 8.752 * [taylor]: Taking taylor expansion of x in y 8.752 * [backup-simplify]: Simplify x into x 8.752 * [taylor]: Taking taylor expansion of y in y 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (/ x 1) into x 8.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 8.752 * [taylor]: Taking taylor expansion of 1/2 in y 8.752 * [backup-simplify]: Simplify 1/2 into 1/2 8.752 * [taylor]: Taking taylor expansion of (/ x y) in y 8.752 * [taylor]: Taking taylor expansion of x in y 8.752 * [backup-simplify]: Simplify x into x 8.752 * [taylor]: Taking taylor expansion of y in y 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (/ x 1) into x 8.752 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 8.752 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 8.752 * [taylor]: Taking taylor expansion of 1/2 in x 8.752 * [backup-simplify]: Simplify 1/2 into 1/2 8.752 * [taylor]: Taking taylor expansion of x in x 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.753 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 8.753 * [backup-simplify]: Simplify 1/2 into 1/2 8.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 8.753 * [taylor]: Taking taylor expansion of 0 in x 8.754 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.754 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.755 * [taylor]: Taking taylor expansion of 0 in x 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.756 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.758 * [taylor]: Taking taylor expansion of 0 in x 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 8.758 * * * [progress]: simplifying candidates 8.759 * [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))) (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 8.759 * * [simplify]: Extracting # 0 : cost 0 8.759 * * [simplify]: Extracting # 1 : cost 0 8.760 * * [simplify]: Extracting # 2 : cost 0 8.760 * * [simplify]: Extracting # 3 : cost 0 8.760 * * [simplify]: Extracting # 4 : cost 0 8.760 * * [simplify]: Extracting # 5 : cost 0 8.760 * * [simplify]: Extracting # 6 : cost 0 8.760 * * [simplify]: iteration 0 : 87 enodes (cost 443 ) 8.782 * * [simplify]: Extracting # 0 : cost 0 8.783 * * [simplify]: Extracting # 1 : cost 0 8.783 * * [simplify]: Extracting # 2 : cost 0 8.783 * * [simplify]: Extracting # 3 : cost 0 8.783 * * [simplify]: Extracting # 4 : cost 0 8.783 * * [simplify]: iteration 1 : 222 enodes (cost 397 ) 8.840 * * [simplify]: Extracting # 0 : cost 0 8.840 * * [simplify]: Extracting # 1 : cost 0 8.841 * * [simplify]: Extracting # 2 : cost 0 8.842 * * [simplify]: Extracting # 3 : cost 0 8.842 * * [simplify]: Extracting # 4 : cost 0 8.843 * * [simplify]: iteration 2 : 640 enodes (cost 373 ) 9.108 * * [simplify]: Extracting # 0 : cost 0 9.110 * * [simplify]: Extracting # 1 : cost 0 9.112 * * [simplify]: Extracting # 2 : cost 0 9.113 * * [simplify]: Extracting # 3 : cost 0 9.115 * * [simplify]: Extracting # 4 : cost 0 9.117 * * [simplify]: iteration 3 : 1862 enodes (cost 372 ) 10.326 * * [simplify]: Extracting # 0 : cost 0 10.334 * * [simplify]: Extracting # 1 : cost 0 10.339 * * [simplify]: Extracting # 2 : cost 0 10.348 * * [simplify]: Extracting # 3 : cost 0 10.353 * * [simplify]: Extracting # 4 : cost 0 10.357 * * [simplify]: iteration done: 5001 enodes (cost 372 ) 10.357 * [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))) (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (* (cbrt y) (cbrt y))) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 10.358 * * * [progress]: adding candidates to table 10.428 * [progress]: [Phase 3 of 3] Extracting. 10.428 * * [regime]: Finding splitpoints for: (# # # #) 10.428 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 10.428 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 10.446 * * * * [regimes]: Trying to branch on (* x x) from (# #) 10.456 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 10.474 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 10.486 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 10.508 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 10.524 * * * * [regimes]: Trying to branch on y from (# # # #) 10.553 * * * * [regimes]: Trying to branch on x from (# # # #) 10.576 * * * [regime]: Found split indices: #