20.206 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.023 * * [simplify]: iteration 0: 5 enodes 0.024 * * [simplify]: iteration 1: 6 enodes 0.026 * * [simplify]: iteration complete: 6 enodes 0.026 * * [simplify]: Extracting #0: cost 1 inf + 0 0.026 * * [simplify]: Extracting #1: cost 2 inf + 0 0.026 * * [simplify]: Extracting #2: cost 4 inf + 0 0.026 * * [simplify]: Extracting #3: cost 4 inf + 1 0.026 * * [simplify]: Extracting #4: cost 3 inf + 2 0.026 * * [simplify]: Extracting #5: cost 0 inf + 247 0.026 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [backup-simplify]: Simplify x into x 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.052 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.052 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.052 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.052 * [backup-simplify]: Simplify (+ 0 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [backup-simplify]: Simplify y into y 0.052 * [backup-simplify]: Simplify (+ 0 y) into y 0.052 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.053 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (+ 0 y) into y 0.053 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.053 * [backup-simplify]: Simplify (+ 0 0) into 0 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.053 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (sqrt 0) into 0 0.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.055 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (+ 1 0) into 1 0.056 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.056 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.056 * [taylor]: Taking taylor expansion of 1/2 in y 0.056 * [backup-simplify]: Simplify 1/2 into 1/2 0.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 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 0.056 * [backup-simplify]: Simplify (sqrt 0) into 0 0.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.058 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.058 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.060 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.061 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.061 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.061 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [backup-simplify]: Simplify x into x 0.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.061 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (/ 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify (sqrt 0) into 0 0.063 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* 1 1) into 1 0.064 * [backup-simplify]: Simplify (/ 1 1) into 1 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [backup-simplify]: Simplify y into y 0.064 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.064 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [backup-simplify]: Simplify (sqrt 1) into 1 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (sqrt 1) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.069 * [taylor]: Taking taylor expansion of 1 in y 0.069 * [backup-simplify]: Simplify 1 into 1 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.071 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.074 * [backup-simplify]: Simplify (+ 0 0) into 0 0.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.079 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of -1/8 in y 0.079 * [backup-simplify]: Simplify -1/8 into -1/8 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.082 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [backup-simplify]: Simplify x into x 0.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.083 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (- 1) into -1 0.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.084 * [backup-simplify]: Simplify (sqrt 0) into 0 0.086 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.086 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.086 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.087 * [backup-simplify]: Simplify (+ 1 0) into 1 0.088 * [backup-simplify]: Simplify (sqrt 1) into 1 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [backup-simplify]: Simplify y into y 0.092 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.093 * [backup-simplify]: Simplify (sqrt 1) into 1 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.097 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.098 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.098 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.098 * [taylor]: Taking taylor expansion of -1/2 in y 0.098 * [backup-simplify]: Simplify -1/2 into -1/2 0.098 * [taylor]: Taking taylor expansion of y in y 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.099 * [backup-simplify]: Simplify -1/2 into -1/2 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.102 * [backup-simplify]: Simplify (- 0) into 0 0.102 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.106 * [backup-simplify]: Simplify (- 0) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.108 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of -1/8 in y 0.108 * [backup-simplify]: Simplify -1/8 into -1/8 0.108 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.109 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.111 * * * [progress]: simplifying candidates 0.111 * [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))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.112 * * [simplify]: iteration 0: 51 enodes 0.127 * * [simplify]: iteration 1: 114 enodes 0.164 * * [simplify]: iteration 2: 276 enodes 0.281 * * [simplify]: iteration 3: 739 enodes 0.773 * * [simplify]: iteration 4: 2254 enodes 2.197 * * [simplify]: iteration complete: 5001 enodes 2.197 * * [simplify]: Extracting #0: cost 18 inf + 0 2.198 * * [simplify]: Extracting #1: cost 133 inf + 2 2.200 * * [simplify]: Extracting #2: cost 607 inf + 171 2.213 * * [simplify]: Extracting #3: cost 1156 inf + 20312 2.236 * * [simplify]: Extracting #4: cost 466 inf + 106451 2.272 * * [simplify]: Extracting #5: cost 73 inf + 155669 2.315 * * [simplify]: Extracting #6: cost 85 inf + 162058 2.360 * * [simplify]: Extracting #7: cost 99 inf + 167393 2.395 * * [simplify]: Extracting #8: cost 19 inf + 178821 2.440 * * [simplify]: Extracting #9: cost 0 inf + 183988 2.474 * [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))) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* (* y y) y) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* x x) (- (* x x) y)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (- (- (* x x) y) (* y y))) (+ x (/ 1/2 (/ x y))) (- (/ -1/2 (/ x y)) x) 2.475 * * * [progress]: adding candidates to table 2.537 * * [progress]: iteration 2 / 4 2.537 * * * [progress]: picking best candidate 2.546 * * * * [pick]: Picked # 2.547 * * * [progress]: localizing error 2.553 * * * [progress]: generating rewritten candidates 2.554 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.566 * * * [progress]: generating series expansions 2.566 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.567 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 2.567 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 2.567 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 2.567 * [taylor]: Taking taylor expansion of -1/2 in y 2.567 * [backup-simplify]: Simplify -1/2 into -1/2 2.567 * [taylor]: Taking taylor expansion of (/ y x) in y 2.567 * [taylor]: Taking taylor expansion of y in y 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [taylor]: Taking taylor expansion of x in y 2.567 * [backup-simplify]: Simplify x into x 2.567 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.567 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 2.567 * [taylor]: Taking taylor expansion of -1/2 in x 2.567 * [backup-simplify]: Simplify -1/2 into -1/2 2.567 * [taylor]: Taking taylor expansion of (/ y x) in x 2.567 * [taylor]: Taking taylor expansion of y in x 2.567 * [backup-simplify]: Simplify y into y 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.567 * [backup-simplify]: Simplify (/ y 1) into y 2.567 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 2.567 * [taylor]: Taking taylor expansion of -1/2 in x 2.567 * [backup-simplify]: Simplify -1/2 into -1/2 2.567 * [taylor]: Taking taylor expansion of (/ y x) in x 2.567 * [taylor]: Taking taylor expansion of y in x 2.567 * [backup-simplify]: Simplify y into y 2.567 * [taylor]: Taking taylor expansion of x in x 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (/ y 1) into y 2.568 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 2.568 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 2.568 * [taylor]: Taking taylor expansion of -1/2 in y 2.568 * [backup-simplify]: Simplify -1/2 into -1/2 2.568 * [taylor]: Taking taylor expansion of y in y 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.569 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 2.569 * [backup-simplify]: Simplify -1/2 into -1/2 2.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.570 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 2.570 * [taylor]: Taking taylor expansion of 0 in y 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 0 into 0 2.571 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.574 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.574 * [taylor]: Taking taylor expansion of 0 in y 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.575 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.575 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.578 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.578 * [taylor]: Taking taylor expansion of 0 in y 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 2.579 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 2.579 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 2.579 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 2.579 * [taylor]: Taking taylor expansion of -1/2 in y 2.579 * [backup-simplify]: Simplify -1/2 into -1/2 2.579 * [taylor]: Taking taylor expansion of (/ x y) in y 2.579 * [taylor]: Taking taylor expansion of x in y 2.579 * [backup-simplify]: Simplify x into x 2.579 * [taylor]: Taking taylor expansion of y in y 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (/ x 1) into x 2.579 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.579 * [taylor]: Taking taylor expansion of -1/2 in x 2.579 * [backup-simplify]: Simplify -1/2 into -1/2 2.579 * [taylor]: Taking taylor expansion of (/ x y) in x 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [taylor]: Taking taylor expansion of y in x 2.579 * [backup-simplify]: Simplify y into y 2.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.579 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.579 * [taylor]: Taking taylor expansion of -1/2 in x 2.579 * [backup-simplify]: Simplify -1/2 into -1/2 2.579 * [taylor]: Taking taylor expansion of (/ x y) in x 2.579 * [taylor]: Taking taylor expansion of x in x 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [taylor]: Taking taylor expansion of y in x 2.579 * [backup-simplify]: Simplify y into y 2.579 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.580 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 2.580 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.580 * [taylor]: Taking taylor expansion of -1/2 in y 2.580 * [backup-simplify]: Simplify -1/2 into -1/2 2.580 * [taylor]: Taking taylor expansion of y in y 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.580 * [backup-simplify]: Simplify -1/2 into -1/2 2.580 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.581 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 2.581 * [taylor]: Taking taylor expansion of 0 in y 2.581 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.583 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.583 * [taylor]: Taking taylor expansion of 0 in y 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.586 * [taylor]: Taking taylor expansion of 0 in y 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 2.587 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 2.587 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 2.587 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 2.587 * [taylor]: Taking taylor expansion of -1/2 in y 2.587 * [backup-simplify]: Simplify -1/2 into -1/2 2.587 * [taylor]: Taking taylor expansion of (/ x y) in y 2.587 * [taylor]: Taking taylor expansion of x in y 2.587 * [backup-simplify]: Simplify x into x 2.588 * [taylor]: Taking taylor expansion of y in y 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (/ x 1) into x 2.588 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.588 * [taylor]: Taking taylor expansion of -1/2 in x 2.588 * [backup-simplify]: Simplify -1/2 into -1/2 2.588 * [taylor]: Taking taylor expansion of (/ x y) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [backup-simplify]: Simplify y into y 2.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.588 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.588 * [taylor]: Taking taylor expansion of -1/2 in x 2.588 * [backup-simplify]: Simplify -1/2 into -1/2 2.588 * [taylor]: Taking taylor expansion of (/ x y) in x 2.588 * [taylor]: Taking taylor expansion of x in x 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [taylor]: Taking taylor expansion of y in x 2.588 * [backup-simplify]: Simplify y into y 2.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.588 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 2.588 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.588 * [taylor]: Taking taylor expansion of -1/2 in y 2.588 * [backup-simplify]: Simplify -1/2 into -1/2 2.588 * [taylor]: Taking taylor expansion of y in y 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.589 * [backup-simplify]: Simplify -1/2 into -1/2 2.589 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.590 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 2.590 * [taylor]: Taking taylor expansion of 0 in y 2.590 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.592 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.592 * [taylor]: Taking taylor expansion of 0 in y 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.594 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.594 * [taylor]: Taking taylor expansion of 0 in y 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 2.596 * * * [progress]: simplifying candidates 2.598 * [simplify]: Simplifying: (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 2.600 * * [simplify]: iteration 0: 150 enodes 2.668 * * [simplify]: iteration 1: 371 enodes 2.777 * * [simplify]: iteration 2: 976 enodes 3.355 * * [simplify]: iteration 3: 3102 enodes 4.028 * * [simplify]: iteration complete: 5101 enodes 4.028 * * [simplify]: Extracting #0: cost 93 inf + 0 4.033 * * [simplify]: Extracting #1: cost 1078 inf + 3 4.065 * * [simplify]: Extracting #2: cost 1366 inf + 41884 4.103 * * [simplify]: Extracting #3: cost 457 inf + 195485 4.170 * * [simplify]: Extracting #4: cost 51 inf + 266586 4.238 * * [simplify]: Extracting #5: cost 2 inf + 272592 4.303 * * [simplify]: Extracting #6: cost 0 inf + 273320 4.353 * [simplify]: Simplified to: (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (exp (/ (* -1/2 y) x)) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (* (cbrt (/ (* -1/2 y) x)) (cbrt (/ (* -1/2 y) x))) (cbrt (/ (* -1/2 y) x)) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (sqrt (/ (* -1/2 y) x)) (sqrt (/ (* -1/2 y) x)) 1/2 (- (/ x y)) (* (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (* (/ (cbrt -1/2) (cbrt x)) (cbrt y)) (* (/ (cbrt -1/2) (cbrt x)) (cbrt y))) (/ (* (cbrt -1/2) (cbrt y)) (cbrt x)) (* (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (sqrt y)) (/ (* (cbrt -1/2) (sqrt y)) (cbrt x)) (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (* (/ (cbrt -1/2) (cbrt x)) y) (* (* (/ (cbrt -1/2) (sqrt x)) (* (cbrt y) (cbrt y))) (cbrt -1/2)) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (* (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt y) (sqrt x))) (/ (* (sqrt y) (cbrt -1/2)) (sqrt x)) (* (/ (cbrt -1/2) (sqrt x)) (cbrt -1/2)) (* y (/ (cbrt -1/2) (sqrt x))) (* (* (cbrt y) (cbrt y)) (* (cbrt -1/2) (cbrt -1/2))) (/ (cbrt -1/2) (/ x (cbrt y))) (* (cbrt -1/2) (* (sqrt y) (cbrt -1/2))) (/ (* (sqrt y) (cbrt -1/2)) x) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (/ x y)) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (/ x y)) (/ (cbrt -1/2) (/ x (cbrt -1/2))) (* y (cbrt -1/2)) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt -1/2) (cbrt x)) (cbrt y)) (/ (* (sqrt -1/2) (sqrt y)) (* (cbrt x) (cbrt x))) (* (/ (sqrt -1/2) (cbrt x)) (sqrt y)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (/ (* (sqrt -1/2) y) (cbrt x)) (/ (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (sqrt x)) (* (/ (sqrt -1/2) (sqrt x)) (cbrt y)) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (/ (sqrt -1/2) (sqrt x)) (* (/ y (sqrt x)) (sqrt -1/2)) (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (* (cbrt y) (/ (sqrt -1/2) x)) (* (sqrt -1/2) (sqrt y)) (/ (sqrt -1/2) (/ x (sqrt y))) (sqrt -1/2) (/ (sqrt -1/2) (/ x y)) (sqrt -1/2) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (* y (sqrt -1/2)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (cbrt y) (/ -1/2 (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* -1/2 (sqrt y)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ -1/2 (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ -1/2 (sqrt x)) (cbrt y)) (/ (sqrt y) (sqrt x)) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ (* y -1/2) (sqrt x)) (* (cbrt y) (cbrt y)) (* (cbrt y) (/ -1/2 x)) (sqrt y) (* (sqrt y) (/ -1/2 x)) 1 (/ (* -1/2 y) x) 1 (/ (* -1/2 y) x) (/ 1 x) (* -1/2 y) (/ y x) (/ (/ x y) -1/2) (/ (/ -1/2 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ -1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (/ -1/2 (* (cbrt x) (cbrt x))) (* (* (cbrt y) (/ -1/2 (sqrt x))) (cbrt y)) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (sqrt x)) (* -1/2 (* (cbrt y) (cbrt y))) (* -1/2 (sqrt y)) -1/2 -1/2 (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) 4.357 * * * [progress]: adding candidates to table 4.732 * * [progress]: iteration 3 / 4 4.732 * * * [progress]: picking best candidate 4.739 * * * * [pick]: Picked # 4.739 * * * [progress]: localizing error 4.746 * * * [progress]: generating rewritten candidates 4.746 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.763 * * * [progress]: generating series expansions 4.763 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.763 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 4.763 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 4.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.763 * [taylor]: Taking taylor expansion of 1/2 in x 4.763 * [backup-simplify]: Simplify 1/2 into 1/2 4.763 * [taylor]: Taking taylor expansion of (/ y x) in x 4.763 * [taylor]: Taking taylor expansion of y in x 4.763 * [backup-simplify]: Simplify y into y 4.763 * [taylor]: Taking taylor expansion of x in x 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [backup-simplify]: Simplify (/ y 1) into y 4.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.764 * [taylor]: Taking taylor expansion of 1/2 in y 4.764 * [backup-simplify]: Simplify 1/2 into 1/2 4.764 * [taylor]: Taking taylor expansion of (/ y x) in y 4.764 * [taylor]: Taking taylor expansion of y in y 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [taylor]: Taking taylor expansion of x in y 4.764 * [backup-simplify]: Simplify x into x 4.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.764 * [taylor]: Taking taylor expansion of 1/2 in y 4.764 * [backup-simplify]: Simplify 1/2 into 1/2 4.764 * [taylor]: Taking taylor expansion of (/ y x) in y 4.764 * [taylor]: Taking taylor expansion of y in y 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [taylor]: Taking taylor expansion of x in y 4.764 * [backup-simplify]: Simplify x into x 4.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.764 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.764 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 4.764 * [taylor]: Taking taylor expansion of 1/2 in x 4.764 * [backup-simplify]: Simplify 1/2 into 1/2 4.765 * [taylor]: Taking taylor expansion of x in x 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 1 into 1 4.765 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.765 * [backup-simplify]: Simplify 1/2 into 1/2 4.766 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.766 * [taylor]: Taking taylor expansion of 0 in x 4.766 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.768 * [taylor]: Taking taylor expansion of 0 in x 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.772 * [taylor]: Taking taylor expansion of 0 in x 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 4.773 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 4.773 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.773 * [taylor]: Taking taylor expansion of 1/2 in x 4.773 * [backup-simplify]: Simplify 1/2 into 1/2 4.773 * [taylor]: Taking taylor expansion of (/ x y) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.774 * [taylor]: Taking taylor expansion of 1/2 in y 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.774 * [taylor]: Taking taylor expansion of (/ x y) in y 4.774 * [taylor]: Taking taylor expansion of x in y 4.774 * [backup-simplify]: Simplify x into x 4.774 * [taylor]: Taking taylor expansion of y in y 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ x 1) into x 4.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.774 * [taylor]: Taking taylor expansion of 1/2 in y 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.774 * [taylor]: Taking taylor expansion of (/ x y) in y 4.774 * [taylor]: Taking taylor expansion of x in y 4.774 * [backup-simplify]: Simplify x into x 4.774 * [taylor]: Taking taylor expansion of y in y 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.774 * [backup-simplify]: Simplify (/ x 1) into x 4.774 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.774 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.774 * [taylor]: Taking taylor expansion of 1/2 in x 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.774 * [taylor]: Taking taylor expansion of x in x 4.774 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify 1 into 1 4.775 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.775 * [backup-simplify]: Simplify 1/2 into 1/2 4.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.777 * [taylor]: Taking taylor expansion of 0 in x 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.778 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.780 * [taylor]: Taking taylor expansion of 0 in x 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.785 * [taylor]: Taking taylor expansion of 0 in x 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 4.785 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 4.785 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 4.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.786 * [taylor]: Taking taylor expansion of 1/2 in x 4.786 * [backup-simplify]: Simplify 1/2 into 1/2 4.786 * [taylor]: Taking taylor expansion of (/ x y) in x 4.786 * [taylor]: Taking taylor expansion of x in x 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [taylor]: Taking taylor expansion of y in x 4.786 * [backup-simplify]: Simplify y into y 4.786 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.786 * [taylor]: Taking taylor expansion of 1/2 in y 4.786 * [backup-simplify]: Simplify 1/2 into 1/2 4.786 * [taylor]: Taking taylor expansion of (/ x y) in y 4.786 * [taylor]: Taking taylor expansion of x in y 4.786 * [backup-simplify]: Simplify x into x 4.786 * [taylor]: Taking taylor expansion of y in y 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (/ x 1) into x 4.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.786 * [taylor]: Taking taylor expansion of 1/2 in y 4.786 * [backup-simplify]: Simplify 1/2 into 1/2 4.786 * [taylor]: Taking taylor expansion of (/ x y) in y 4.786 * [taylor]: Taking taylor expansion of x in y 4.786 * [backup-simplify]: Simplify x into x 4.786 * [taylor]: Taking taylor expansion of y in y 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (/ x 1) into x 4.786 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.786 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.786 * [taylor]: Taking taylor expansion of 1/2 in x 4.786 * [backup-simplify]: Simplify 1/2 into 1/2 4.787 * [taylor]: Taking taylor expansion of x in x 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.787 * [backup-simplify]: Simplify 1/2 into 1/2 4.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.789 * [taylor]: Taking taylor expansion of 0 in x 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.792 * [taylor]: Taking taylor expansion of 0 in x 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.797 * [taylor]: Taking taylor expansion of 0 in x 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 4.797 * * * [progress]: simplifying candidates 4.798 * [simplify]: Simplifying: (* 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) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 4.799 * * [simplify]: iteration 0: 68 enodes 4.844 * * [simplify]: iteration 1: 172 enodes 4.899 * * [simplify]: iteration 2: 508 enodes 5.142 * * [simplify]: iteration 3: 1421 enodes 6.183 * * [simplify]: iteration complete: 5003 enodes 6.183 * * [simplify]: Extracting #0: cost 23 inf + 0 6.185 * * [simplify]: Extracting #1: cost 579 inf + 1 6.193 * * [simplify]: Extracting #2: cost 1294 inf + 10574 6.228 * * [simplify]: Extracting #3: cost 477 inf + 138039 6.298 * * [simplify]: Extracting #4: cost 33 inf + 208202 6.360 * * [simplify]: Extracting #5: cost 1 inf + 214229 6.408 * * [simplify]: Extracting #6: cost 0 inf + 214523 6.460 * [simplify]: Simplified to: (/ (* y 1/2) x) (log (/ (* y 1/2) x)) (log (/ (* y 1/2) x)) (log (/ (* y 1/2) x)) (sqrt (exp (/ y x))) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (* (cbrt (/ (* y 1/2) x)) (cbrt (/ (* y 1/2) x))) (cbrt (/ (* y 1/2) x)) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (sqrt (/ (* y 1/2) x)) (sqrt (/ (* y 1/2) x)) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (* 1/2 (cbrt (/ y x))) (cbrt (/ y x))) (* (sqrt (/ y x)) 1/2) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (* 1/2 (/ (cbrt y) (sqrt x))) (cbrt y)) (/ (* (cbrt y) (cbrt y)) 2) (* (/ 1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (* (/ 1/2 (sqrt x)) (sqrt y)) (/ (sqrt y) 2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* y 1/2) (* (cbrt 1/2) (/ y x)) (/ (* (sqrt 1/2) y) x) (/ (* y 1/2) x) (* y 1/2) (/ (* y 1/2) x) (/ (* y 1/2) x) (/ (* y 1/2) x) 6.462 * * * [progress]: adding candidates to table 6.626 * * [progress]: iteration 4 / 4 6.626 * * * [progress]: picking best candidate 6.634 * * * * [pick]: Picked # 6.634 * * * [progress]: localizing error 6.661 * * * [progress]: generating rewritten candidates 6.661 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.816 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.844 * * * [progress]: generating series expansions 6.844 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.845 * [backup-simplify]: Simplify (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) into (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) 6.845 * [approximate]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in (x y) around 0 6.845 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in y 6.845 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in y 6.845 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 6.845 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.845 * [taylor]: Taking taylor expansion of x in y 6.845 * [backup-simplify]: Simplify x into x 6.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.845 * [taylor]: Taking taylor expansion of y in y 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 6.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.845 * [taylor]: Taking taylor expansion of x in y 6.845 * [backup-simplify]: Simplify x into x 6.845 * [taylor]: Taking taylor expansion of y in y 6.845 * [backup-simplify]: Simplify 0 into 0 6.845 * [backup-simplify]: Simplify 1 into 1 6.845 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.845 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.845 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 6.845 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.846 * [backup-simplify]: Simplify (- 0) into 0 6.846 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.846 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 6.846 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.846 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.846 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 6.847 * [backup-simplify]: Simplify (+ 0 0) into 0 6.847 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.847 * [backup-simplify]: Simplify (- 1) into -1 6.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.847 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (pow x 2) (/ -1 (pow x 2))))) into 1 6.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 6.847 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 6.848 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 6.848 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 6.848 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.848 * [taylor]: Taking taylor expansion of x in x 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.848 * [taylor]: Taking taylor expansion of y in x 6.848 * [backup-simplify]: Simplify y into y 6.848 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 6.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.848 * [taylor]: Taking taylor expansion of x in x 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.848 * [taylor]: Taking taylor expansion of y in x 6.848 * [backup-simplify]: Simplify y into y 6.848 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.848 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 6.848 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 6.848 * [backup-simplify]: Simplify (- y) into (- y) 6.848 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.848 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 6.848 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 6.848 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.848 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify (+ 0 0) into 0 6.849 * [backup-simplify]: Simplify (- 0) into 0 6.849 * [backup-simplify]: Simplify (+ 0 0) into 0 6.849 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 6.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 6.849 * [taylor]: Taking taylor expansion of (sqrt (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y))) in x 6.849 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (pow y 2)) (- (pow x 2) y)) in x 6.849 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 6.849 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.849 * [taylor]: Taking taylor expansion of x in x 6.849 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify 1 into 1 6.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.850 * [taylor]: Taking taylor expansion of y in x 6.850 * [backup-simplify]: Simplify y into y 6.850 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 6.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.850 * [taylor]: Taking taylor expansion of x in x 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.850 * [taylor]: Taking taylor expansion of y in x 6.850 * [backup-simplify]: Simplify y into y 6.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.850 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 6.850 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 6.850 * [backup-simplify]: Simplify (- y) into (- y) 6.850 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.850 * [backup-simplify]: Simplify (/ (- (pow y 2)) (- y)) into y 6.850 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 6.850 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.850 * [backup-simplify]: Simplify (- 0) into 0 6.851 * [backup-simplify]: Simplify (+ 0 0) into 0 6.851 * [backup-simplify]: Simplify (- 0) into 0 6.851 * [backup-simplify]: Simplify (+ 0 0) into 0 6.851 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 0 (- y))))) into 0 6.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 6.852 * [taylor]: Taking taylor expansion of (sqrt y) in y 6.852 * [taylor]: Taking taylor expansion of y in y 6.852 * [backup-simplify]: Simplify 0 into 0 6.852 * [backup-simplify]: Simplify 1 into 1 6.852 * [backup-simplify]: Simplify (sqrt 0) into 0 6.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [taylor]: Taking taylor expansion of 0 in y 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.853 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.853 * [backup-simplify]: Simplify (- 0) into 0 6.854 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [backup-simplify]: Simplify (* 1 1) into 1 6.854 * [backup-simplify]: Simplify (- 0) into 0 6.854 * [backup-simplify]: Simplify (+ 1 0) into 1 6.855 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* y (/ 1 (- y))) (* 0 (/ 0 (- y))))) into 1 6.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 6.855 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 6.855 * [taylor]: Taking taylor expansion of 1/2 in y 6.855 * [backup-simplify]: Simplify 1/2 into 1/2 6.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 6.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.855 * [taylor]: Taking taylor expansion of y in y 6.855 * [backup-simplify]: Simplify 0 into 0 6.855 * [backup-simplify]: Simplify 1 into 1 6.855 * [backup-simplify]: Simplify (/ 1 1) into 1 6.856 * [backup-simplify]: Simplify (sqrt 0) into 0 6.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.857 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 6.858 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.858 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.860 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 6.860 * [backup-simplify]: Simplify (/ (sqrt (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) 6.861 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 6.861 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in y 6.861 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in y 6.861 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 6.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.861 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.861 * [taylor]: Taking taylor expansion of x in y 6.861 * [backup-simplify]: Simplify x into x 6.861 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.861 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.861 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.861 * [taylor]: Taking taylor expansion of y in y 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify 1 into 1 6.861 * [backup-simplify]: Simplify (* 1 1) into 1 6.861 * [backup-simplify]: Simplify (/ 1 1) into 1 6.861 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 6.862 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.862 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.862 * [taylor]: Taking taylor expansion of x in y 6.862 * [backup-simplify]: Simplify x into x 6.862 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.862 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.862 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.862 * [taylor]: Taking taylor expansion of y in y 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify 1 into 1 6.862 * [backup-simplify]: Simplify (/ 1 1) into 1 6.862 * [backup-simplify]: Simplify (- 1) into -1 6.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.863 * [backup-simplify]: Simplify (- 1) into -1 6.863 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.863 * [backup-simplify]: Simplify (/ -1 -1) into 1 6.864 * [backup-simplify]: Simplify (sqrt 0) into 0 6.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.864 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 6.864 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 6.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 6.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.864 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.865 * [taylor]: Taking taylor expansion of x in x 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (* 1 1) into 1 6.865 * [backup-simplify]: Simplify (* 1 1) into 1 6.865 * [backup-simplify]: Simplify (/ 1 1) into 1 6.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.865 * [taylor]: Taking taylor expansion of y in x 6.865 * [backup-simplify]: Simplify y into y 6.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.865 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.866 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.866 * [taylor]: Taking taylor expansion of x in x 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (* 1 1) into 1 6.866 * [backup-simplify]: Simplify (/ 1 1) into 1 6.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.866 * [taylor]: Taking taylor expansion of y in x 6.866 * [backup-simplify]: Simplify y into y 6.866 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.866 * [backup-simplify]: Simplify (+ 1 0) into 1 6.867 * [backup-simplify]: Simplify (+ 1 0) into 1 6.867 * [backup-simplify]: Simplify (/ 1 1) into 1 6.867 * [backup-simplify]: Simplify (sqrt 1) into 1 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.869 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ 0 0) into 0 6.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.871 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y)))) in x 6.871 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (- (/ 1 (pow x 2)) (/ 1 y))) in x 6.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 6.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.871 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.871 * [taylor]: Taking taylor expansion of x in x 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [backup-simplify]: Simplify (* 1 1) into 1 6.871 * [backup-simplify]: Simplify (* 1 1) into 1 6.872 * [backup-simplify]: Simplify (/ 1 1) into 1 6.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.872 * [taylor]: Taking taylor expansion of y in x 6.872 * [backup-simplify]: Simplify y into y 6.872 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.872 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.872 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 6.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.872 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.872 * [taylor]: Taking taylor expansion of x in x 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [backup-simplify]: Simplify (* 1 1) into 1 6.872 * [backup-simplify]: Simplify (/ 1 1) into 1 6.872 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.872 * [taylor]: Taking taylor expansion of y in x 6.872 * [backup-simplify]: Simplify y into y 6.872 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.873 * [backup-simplify]: Simplify (+ 1 0) into 1 6.873 * [backup-simplify]: Simplify (+ 1 0) into 1 6.873 * [backup-simplify]: Simplify (/ 1 1) into 1 6.874 * [backup-simplify]: Simplify (sqrt 1) into 1 6.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (+ 0 0) into 0 6.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.877 * [taylor]: Taking taylor expansion of 1 in y 6.877 * [backup-simplify]: Simplify 1 into 1 6.877 * [taylor]: Taking taylor expansion of 0 in y 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 1 into 1 6.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.879 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.880 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (/ 1 y) 6.882 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 6.882 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 6.882 * [taylor]: Taking taylor expansion of 1/2 in y 6.882 * [backup-simplify]: Simplify 1/2 into 1/2 6.882 * [taylor]: Taking taylor expansion of y in y 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.882 * [backup-simplify]: Simplify 1/2 into 1/2 6.882 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.886 * [backup-simplify]: Simplify (- 0) into 0 6.886 * [backup-simplify]: Simplify (+ 0 0) into 0 6.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 y)) 1)) (* (/ 1 y) (/ 0 1)))) into 0 6.888 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 6.888 * [taylor]: Taking taylor expansion of 0 in y 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.890 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.891 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 6.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.895 * [backup-simplify]: Simplify (- 0) into 0 6.895 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 6.897 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 6.897 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 6.897 * [taylor]: Taking taylor expansion of -1/8 in y 6.897 * [backup-simplify]: Simplify -1/8 into -1/8 6.897 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [backup-simplify]: Simplify (* 1 1) into 1 6.898 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 6.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 6.899 * [backup-simplify]: Simplify 0 into 0 6.900 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 6.900 * [backup-simplify]: Simplify (/ (sqrt (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) 6.900 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in (x y) around 0 6.900 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 6.900 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in y 6.900 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 6.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 6.900 * [taylor]: Taking taylor expansion of (pow x 4) in y 6.900 * [taylor]: Taking taylor expansion of x in y 6.900 * [backup-simplify]: Simplify x into x 6.901 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.901 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 6.901 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 6.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.901 * [taylor]: Taking taylor expansion of y in y 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (* 1 1) into 1 6.902 * [backup-simplify]: Simplify (/ 1 1) into 1 6.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 6.902 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.902 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.902 * [taylor]: Taking taylor expansion of x in y 6.902 * [backup-simplify]: Simplify x into x 6.902 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.903 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.903 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.903 * [taylor]: Taking taylor expansion of y in y 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [backup-simplify]: Simplify (/ 1 1) into 1 6.903 * [backup-simplify]: Simplify (- 1) into -1 6.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.904 * [backup-simplify]: Simplify (+ 0 1) into 1 6.905 * [backup-simplify]: Simplify (/ -1 1) into -1 6.905 * [backup-simplify]: Simplify (sqrt 0) into 0 6.906 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.906 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 6.906 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 6.906 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 6.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.906 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.907 * [taylor]: Taking taylor expansion of x in x 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (* 1 1) into 1 6.907 * [backup-simplify]: Simplify (* 1 1) into 1 6.908 * [backup-simplify]: Simplify (/ 1 1) into 1 6.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.908 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.908 * [taylor]: Taking taylor expansion of y in x 6.908 * [backup-simplify]: Simplify y into y 6.908 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.908 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 6.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.908 * [taylor]: Taking taylor expansion of (pow x 2) 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 6.909 * [backup-simplify]: Simplify (* 1 1) into 1 6.909 * [backup-simplify]: Simplify (/ 1 1) into 1 6.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.909 * [taylor]: Taking taylor expansion of y in x 6.909 * [backup-simplify]: Simplify y into y 6.909 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.909 * [backup-simplify]: Simplify (+ 1 0) into 1 6.910 * [backup-simplify]: Simplify (+ 1 0) into 1 6.910 * [backup-simplify]: Simplify (/ 1 1) into 1 6.911 * [backup-simplify]: Simplify (sqrt 1) into 1 6.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ 0 0) into 0 6.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.916 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 6.916 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 y))) in x 6.916 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 6.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.916 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.916 * [taylor]: Taking taylor expansion of x in x 6.916 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify 1 into 1 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.917 * [backup-simplify]: Simplify (/ 1 1) into 1 6.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.917 * [taylor]: Taking taylor expansion of y in x 6.917 * [backup-simplify]: Simplify y into y 6.918 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.918 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 6.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.918 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.918 * [taylor]: Taking taylor expansion of x in x 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 1 into 1 6.918 * [backup-simplify]: Simplify (* 1 1) into 1 6.919 * [backup-simplify]: Simplify (/ 1 1) into 1 6.919 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.919 * [taylor]: Taking taylor expansion of y in x 6.919 * [backup-simplify]: Simplify y into y 6.919 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.919 * [backup-simplify]: Simplify (+ 1 0) into 1 6.920 * [backup-simplify]: Simplify (+ 1 0) into 1 6.920 * [backup-simplify]: Simplify (/ 1 1) into 1 6.920 * [backup-simplify]: Simplify (sqrt 1) into 1 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify (+ 0 0) into 0 6.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 6.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.926 * [taylor]: Taking taylor expansion of 1 in y 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [taylor]: Taking taylor expansion of 0 in y 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ 0 0) into 0 6.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 6.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into (- (/ 1 y)) 6.933 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 6.934 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.934 * [taylor]: Taking taylor expansion of -1/2 in y 6.934 * [backup-simplify]: Simplify -1/2 into -1/2 6.934 * [taylor]: Taking taylor expansion of y in y 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 1 into 1 6.934 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.934 * [backup-simplify]: Simplify -1/2 into -1/2 6.934 * [backup-simplify]: Simplify 0 into 0 6.934 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.939 * [backup-simplify]: Simplify (+ 0 0) into 0 6.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 y) 1)) (* (- (/ 1 y)) (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 6.941 * [taylor]: Taking taylor expansion of 0 in y 6.941 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 6.942 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify 0 into 0 6.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.946 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 6.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.948 * [backup-simplify]: Simplify (+ 0 0) into 0 6.950 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)) (* 0 (/ 0 1)))) into 0 6.951 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 6.951 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 6.951 * [taylor]: Taking taylor expansion of -1/8 in y 6.951 * [backup-simplify]: Simplify -1/8 into -1/8 6.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.951 * [taylor]: Taking taylor expansion of y in y 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify 1 into 1 6.951 * [backup-simplify]: Simplify (* 1 1) into 1 6.952 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 6.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 6.953 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 6.954 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.954 * [backup-simplify]: Simplify (sqrt (- (* x x) y)) into (sqrt (- (pow x 2) y)) 6.954 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in (x y) around 0 6.954 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in y 6.954 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 6.954 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.954 * [taylor]: Taking taylor expansion of x in y 6.954 * [backup-simplify]: Simplify x into x 6.954 * [taylor]: Taking taylor expansion of y in y 6.954 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify 1 into 1 6.954 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.954 * [backup-simplify]: Simplify (- 0) into 0 6.955 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.955 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.955 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.955 * [backup-simplify]: Simplify (- 1) into -1 6.956 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.956 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt (pow x 2)))) into (/ -1/2 x) 6.956 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 6.956 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 6.956 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.956 * [taylor]: Taking taylor expansion of x in x 6.956 * [backup-simplify]: Simplify 0 into 0 6.956 * [backup-simplify]: Simplify 1 into 1 6.956 * [taylor]: Taking taylor expansion of y in x 6.956 * [backup-simplify]: Simplify y into y 6.956 * [backup-simplify]: Simplify (- y) into (- y) 6.956 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.956 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 6.956 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- y)))) into 0 6.957 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) y)) in x 6.957 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 6.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.957 * [taylor]: Taking taylor expansion of x in x 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [taylor]: Taking taylor expansion of y in x 6.957 * [backup-simplify]: Simplify y into y 6.957 * [backup-simplify]: Simplify (- y) into (- y) 6.957 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 6.957 * [backup-simplify]: Simplify (sqrt (- y)) into (sqrt (- y)) 6.957 * [backup-simplify]: Simplify (- 0) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- y)))) into 0 6.958 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 6.958 * [taylor]: Taking taylor expansion of (- y) in y 6.958 * [taylor]: Taking taylor expansion of y in y 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (- 0) into 0 6.958 * [backup-simplify]: Simplify (- 1) into -1 6.958 * [backup-simplify]: Simplify (sqrt 0) into 0 6.959 * [backup-simplify]: Simplify (- 1) into -1 6.959 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [taylor]: Taking taylor expansion of 0 in y 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.960 * [backup-simplify]: Simplify (* 1 1) into 1 6.960 * [backup-simplify]: Simplify (- 0) into 0 6.960 * [backup-simplify]: Simplify (+ 1 0) into 1 6.961 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- y)))) into (/ 1/2 (sqrt (- y))) 6.961 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (- y))) in y 6.961 * [taylor]: Taking taylor expansion of 1/2 in y 6.961 * [backup-simplify]: Simplify 1/2 into 1/2 6.961 * [taylor]: Taking taylor expansion of (sqrt (- y)) in y 6.961 * [taylor]: Taking taylor expansion of (- y) in y 6.961 * [taylor]: Taking taylor expansion of y in y 6.961 * [backup-simplify]: Simplify 0 into 0 6.961 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (- 0) into 0 6.961 * [backup-simplify]: Simplify (- 1) into -1 6.962 * [backup-simplify]: Simplify (sqrt 0) into 0 6.962 * [backup-simplify]: Simplify (- 1) into -1 6.963 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.963 * [backup-simplify]: Simplify (/ 1/2 +nan.0) into +nan.0 6.964 * [backup-simplify]: Simplify (- 0) into 0 6.966 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.968 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.969 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify (- 0) into 0 6.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.972 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.973 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 6.973 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 6.973 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 6.973 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 6.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 6.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.973 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.973 * [taylor]: Taking taylor expansion of x in y 6.973 * [backup-simplify]: Simplify x into x 6.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.973 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.973 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.973 * [taylor]: Taking taylor expansion of y in y 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify (/ 1 1) into 1 6.974 * [backup-simplify]: Simplify (- 1) into -1 6.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.975 * [backup-simplify]: Simplify (sqrt 0) into 0 6.976 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.976 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 6.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 6.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.976 * [taylor]: Taking taylor expansion of x in x 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (* 1 1) into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.977 * [taylor]: Taking taylor expansion of y in x 6.977 * [backup-simplify]: Simplify y into y 6.977 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.978 * [backup-simplify]: Simplify (+ 1 0) into 1 6.978 * [backup-simplify]: Simplify (sqrt 1) into 1 6.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (+ 0 0) into 0 6.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.980 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 6.980 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 6.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.981 * [taylor]: Taking taylor expansion of x in x 6.981 * [backup-simplify]: Simplify 0 into 0 6.981 * [backup-simplify]: Simplify 1 into 1 6.981 * [backup-simplify]: Simplify (* 1 1) into 1 6.981 * [backup-simplify]: Simplify (/ 1 1) into 1 6.981 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.981 * [taylor]: Taking taylor expansion of y in x 6.981 * [backup-simplify]: Simplify y into y 6.981 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.982 * [backup-simplify]: Simplify (+ 1 0) into 1 6.982 * [backup-simplify]: Simplify (sqrt 1) into 1 6.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.984 * [backup-simplify]: Simplify (+ 0 0) into 0 6.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.985 * [taylor]: Taking taylor expansion of 1 in y 6.985 * [backup-simplify]: Simplify 1 into 1 6.985 * [taylor]: Taking taylor expansion of 0 in y 6.985 * [backup-simplify]: Simplify 0 into 0 6.985 * [backup-simplify]: Simplify 1 into 1 6.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 6.987 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 6.988 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 6.988 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 6.988 * [taylor]: Taking taylor expansion of -1/2 in y 6.988 * [backup-simplify]: Simplify -1/2 into -1/2 6.988 * [taylor]: Taking taylor expansion of y in y 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 6.989 * [backup-simplify]: Simplify -1/2 into -1/2 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 0 into 0 6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.991 * [backup-simplify]: Simplify (- 0) into 0 6.992 * [backup-simplify]: Simplify (+ 0 0) into 0 6.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 6.992 * [taylor]: Taking taylor expansion of 0 in y 6.992 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.997 * [backup-simplify]: Simplify (- 0) into 0 6.997 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 6.999 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 6.999 * [taylor]: Taking taylor expansion of -1/8 in y 6.999 * [backup-simplify]: Simplify -1/8 into -1/8 6.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.999 * [taylor]: Taking taylor expansion of y in y 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (* 1 1) into 1 7.000 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (- x (* 1/2 (/ y x))) 7.002 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 7.002 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 7.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 7.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 7.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.002 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.002 * [taylor]: Taking taylor expansion of x in y 7.002 * [backup-simplify]: Simplify x into x 7.002 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.002 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.002 * [taylor]: Taking taylor expansion of y in y 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1 into 1 7.003 * [backup-simplify]: Simplify (/ 1 1) into 1 7.003 * [backup-simplify]: Simplify (+ 0 1) into 1 7.004 * [backup-simplify]: Simplify (sqrt 0) into 0 7.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 7.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 7.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.005 * [taylor]: Taking taylor expansion of x in x 7.005 * [backup-simplify]: Simplify 0 into 0 7.005 * [backup-simplify]: Simplify 1 into 1 7.005 * [backup-simplify]: Simplify (* 1 1) into 1 7.006 * [backup-simplify]: Simplify (/ 1 1) into 1 7.006 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.006 * [taylor]: Taking taylor expansion of y in x 7.006 * [backup-simplify]: Simplify y into y 7.006 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.006 * [backup-simplify]: Simplify (+ 1 0) into 1 7.007 * [backup-simplify]: Simplify (sqrt 1) into 1 7.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.008 * [backup-simplify]: Simplify (+ 0 0) into 0 7.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 7.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 7.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.009 * [taylor]: Taking taylor expansion of x in x 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (* 1 1) into 1 7.010 * [backup-simplify]: Simplify (/ 1 1) into 1 7.010 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.010 * [taylor]: Taking taylor expansion of y in x 7.010 * [backup-simplify]: Simplify y into y 7.010 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.010 * [backup-simplify]: Simplify (+ 1 0) into 1 7.010 * [backup-simplify]: Simplify (sqrt 1) into 1 7.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.012 * [backup-simplify]: Simplify (+ 0 0) into 0 7.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.013 * [taylor]: Taking taylor expansion of 1 in y 7.013 * [backup-simplify]: Simplify 1 into 1 7.013 * [taylor]: Taking taylor expansion of 0 in y 7.013 * [backup-simplify]: Simplify 0 into 0 7.013 * [backup-simplify]: Simplify 1 into 1 7.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 7.015 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 7.015 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 7.015 * [taylor]: Taking taylor expansion of 1/2 in y 7.015 * [backup-simplify]: Simplify 1/2 into 1/2 7.015 * [taylor]: Taking taylor expansion of y in y 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.016 * [backup-simplify]: Simplify 1/2 into 1/2 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.018 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 7.018 * [taylor]: Taking taylor expansion of 0 in y 7.018 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.021 * [backup-simplify]: Simplify (+ 0 0) into 0 7.022 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 7.022 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 7.022 * [taylor]: Taking taylor expansion of -1/8 in y 7.022 * [backup-simplify]: Simplify -1/8 into -1/8 7.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.022 * [taylor]: Taking taylor expansion of y in y 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.023 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 7.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 7.025 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (* 1/2 (/ y x)) x) 7.026 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.026 * [backup-simplify]: Simplify (sqrt (- (* (* x x) (* x x)) (* y y))) into (sqrt (- (pow x 4) (pow y 2))) 7.026 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in (x y) around 0 7.026 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in y 7.026 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 7.026 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.026 * [taylor]: Taking taylor expansion of x in y 7.026 * [backup-simplify]: Simplify x into x 7.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.026 * [taylor]: Taking taylor expansion of y in y 7.026 * [backup-simplify]: Simplify 0 into 0 7.026 * [backup-simplify]: Simplify 1 into 1 7.026 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.026 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.026 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 7.026 * [backup-simplify]: Simplify (sqrt (pow x 4)) into (pow x 2) 7.027 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.027 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 (pow x 2))) into 0 7.027 * [backup-simplify]: Simplify (+ 0 0) into 0 7.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 4)))) into 0 7.027 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 7.027 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.027 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.027 * [taylor]: Taking taylor expansion of x in x 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.027 * [taylor]: Taking taylor expansion of y in x 7.027 * [backup-simplify]: Simplify y into y 7.027 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.027 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.027 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.028 * [backup-simplify]: Simplify (sqrt (- (pow y 2))) into (sqrt (- (pow y 2))) 7.028 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.028 * [backup-simplify]: Simplify (- 0) into 0 7.028 * [backup-simplify]: Simplify (+ 0 0) into 0 7.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2))))) into 0 7.028 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 4) (pow y 2))) in x 7.028 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.028 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.028 * [taylor]: Taking taylor expansion of x in x 7.028 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify 1 into 1 7.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.028 * [taylor]: Taking taylor expansion of y in x 7.028 * [backup-simplify]: Simplify y into y 7.028 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.029 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.029 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.029 * [backup-simplify]: Simplify (sqrt (- (pow y 2))) into (sqrt (- (pow y 2))) 7.029 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.029 * [backup-simplify]: Simplify (- 0) into 0 7.029 * [backup-simplify]: Simplify (+ 0 0) into 0 7.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- (pow y 2))))) into 0 7.029 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2))) in y 7.029 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.030 * [taylor]: Taking taylor expansion of y in y 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 1 into 1 7.030 * [backup-simplify]: Simplify (* 1 1) into 1 7.030 * [backup-simplify]: Simplify (- 1) into -1 7.030 * [backup-simplify]: Simplify (- 1) into -1 7.031 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.031 * [backup-simplify]: Simplify (- 0) into 0 7.031 * [backup-simplify]: Simplify (- 1) into -1 7.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.032 * [taylor]: Taking taylor expansion of 0 in y 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.033 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.033 * [backup-simplify]: Simplify (- 0) into 0 7.033 * [backup-simplify]: Simplify (+ 0 0) into 0 7.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (pow y 2))))) into 0 7.034 * [taylor]: Taking taylor expansion of 0 in y 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.034 * [backup-simplify]: Simplify (- 0) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (pow y 2))))) into 0 7.035 * [taylor]: Taking taylor expansion of 0 in y 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify (* (sqrt -1) (* y 1)) into (* (sqrt -1) y) 7.036 * [backup-simplify]: Simplify (sqrt (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y)))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) 7.036 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 7.036 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 7.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.036 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.036 * [taylor]: Taking taylor expansion of x in y 7.036 * [backup-simplify]: Simplify x into x 7.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.036 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.036 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.036 * [taylor]: Taking taylor expansion of y in y 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (* 1 1) into 1 7.037 * [backup-simplify]: Simplify (/ 1 1) into 1 7.037 * [backup-simplify]: Simplify (- 1) into -1 7.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.038 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.039 * [backup-simplify]: Simplify (- 0) into 0 7.039 * [backup-simplify]: Simplify (+ 0 0) into 0 7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.039 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.039 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.039 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.039 * [taylor]: Taking taylor expansion of x in x 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (* 1 1) into 1 7.040 * [backup-simplify]: Simplify (/ 1 1) into 1 7.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.040 * [taylor]: Taking taylor expansion of y in x 7.040 * [backup-simplify]: Simplify y into y 7.040 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.040 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.041 * [backup-simplify]: Simplify (+ 1 0) into 1 7.041 * [backup-simplify]: Simplify (sqrt 1) into 1 7.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.042 * [backup-simplify]: Simplify (+ 0 0) into 0 7.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.043 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.043 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.043 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.043 * [taylor]: Taking taylor expansion of x in x 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 1 into 1 7.043 * [backup-simplify]: Simplify (* 1 1) into 1 7.044 * [backup-simplify]: Simplify (* 1 1) into 1 7.044 * [backup-simplify]: Simplify (/ 1 1) into 1 7.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.044 * [taylor]: Taking taylor expansion of y in x 7.044 * [backup-simplify]: Simplify y into y 7.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.044 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.044 * [backup-simplify]: Simplify (+ 1 0) into 1 7.045 * [backup-simplify]: Simplify (sqrt 1) into 1 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.046 * [backup-simplify]: Simplify (+ 0 0) into 0 7.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.046 * [taylor]: Taking taylor expansion of 1 in y 7.047 * [backup-simplify]: Simplify 1 into 1 7.047 * [taylor]: Taking taylor expansion of 0 in y 7.047 * [backup-simplify]: Simplify 0 into 0 7.047 * [backup-simplify]: Simplify 1 into 1 7.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.048 * [backup-simplify]: Simplify (+ 0 0) into 0 7.049 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 7.049 * [taylor]: Taking taylor expansion of 0 in y 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 0 into 0 7.049 * [backup-simplify]: Simplify 0 into 0 7.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.052 * [backup-simplify]: Simplify (+ 0 0) into 0 7.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 7.053 * [taylor]: Taking taylor expansion of 0 in y 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.057 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.057 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.058 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 2)) 7.058 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 7.058 * [taylor]: Taking taylor expansion of -1/2 in y 7.058 * [backup-simplify]: Simplify -1/2 into -1/2 7.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.058 * [taylor]: Taking taylor expansion of y in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.059 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.060 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) into (pow x 2) 7.061 * [backup-simplify]: Simplify (sqrt (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) 7.061 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in (x y) around 0 7.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in y 7.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.061 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.061 * [taylor]: Taking taylor expansion of x in y 7.061 * [backup-simplify]: Simplify x into x 7.061 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.061 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.062 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.062 * [taylor]: Taking taylor expansion of y in y 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (* 1 1) into 1 7.062 * [backup-simplify]: Simplify (/ 1 1) into 1 7.063 * [backup-simplify]: Simplify (- 1) into -1 7.063 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.064 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 7.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify (- 0) into 0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 7.066 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.067 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.067 * [taylor]: Taking taylor expansion of x in x 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 1 into 1 7.067 * [backup-simplify]: Simplify (* 1 1) into 1 7.067 * [backup-simplify]: Simplify (* 1 1) into 1 7.068 * [backup-simplify]: Simplify (/ 1 1) into 1 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.068 * [taylor]: Taking taylor expansion of y in x 7.068 * [backup-simplify]: Simplify y into y 7.068 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.068 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.068 * [backup-simplify]: Simplify (+ 1 0) into 1 7.069 * [backup-simplify]: Simplify (sqrt 1) into 1 7.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.071 * [backup-simplify]: Simplify (+ 0 0) into 0 7.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.072 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 4)) (/ 1 (pow y 2)))) in x 7.072 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.072 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.072 * [taylor]: Taking taylor expansion of x in x 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 1 into 1 7.072 * [backup-simplify]: Simplify (* 1 1) into 1 7.073 * [backup-simplify]: Simplify (* 1 1) into 1 7.073 * [backup-simplify]: Simplify (/ 1 1) into 1 7.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.073 * [taylor]: Taking taylor expansion of y in x 7.073 * [backup-simplify]: Simplify y into y 7.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.074 * [backup-simplify]: Simplify (+ 1 0) into 1 7.074 * [backup-simplify]: Simplify (sqrt 1) into 1 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.076 * [backup-simplify]: Simplify (+ 0 0) into 0 7.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.077 * [taylor]: Taking taylor expansion of 1 in y 7.077 * [backup-simplify]: Simplify 1 into 1 7.077 * [taylor]: Taking taylor expansion of 0 in y 7.077 * [backup-simplify]: Simplify 0 into 0 7.077 * [backup-simplify]: Simplify 1 into 1 7.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.080 * [backup-simplify]: Simplify (+ 0 0) into 0 7.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 1)) into 0 7.081 * [taylor]: Taking taylor expansion of 0 in y 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 0 into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.084 * [backup-simplify]: Simplify (+ 0 0) into 0 7.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 1)) into 0 7.085 * [taylor]: Taking taylor expansion of 0 in y 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 0 into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.087 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.087 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.088 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 2)) 7.088 * [taylor]: Taking taylor expansion of (/ -1/2 (pow y 2)) in y 7.088 * [taylor]: Taking taylor expansion of -1/2 in y 7.088 * [backup-simplify]: Simplify -1/2 into -1/2 7.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.088 * [taylor]: Taking taylor expansion of y in y 7.088 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify 1 into 1 7.088 * [backup-simplify]: Simplify (* 1 1) into 1 7.089 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) into (pow x 2) 7.090 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.090 * [backup-simplify]: Simplify (- (* (* x x) (* x x)) (* y y)) into (- (pow x 4) (pow y 2)) 7.090 * [approximate]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in (x y) around 0 7.090 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in y 7.090 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.090 * [taylor]: Taking taylor expansion of x in y 7.090 * [backup-simplify]: Simplify x into x 7.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.090 * [taylor]: Taking taylor expansion of y in y 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.090 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.090 * [taylor]: Taking taylor expansion of x in x 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.090 * [taylor]: Taking taylor expansion of y in x 7.090 * [backup-simplify]: Simplify y into y 7.090 * [taylor]: Taking taylor expansion of (- (pow x 4) (pow y 2)) in x 7.090 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.090 * [taylor]: Taking taylor expansion of x in x 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.090 * [taylor]: Taking taylor expansion of y in x 7.090 * [backup-simplify]: Simplify y into y 7.090 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.091 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 7.091 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 7.091 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 7.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.091 * [taylor]: Taking taylor expansion of y in y 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.091 * [backup-simplify]: Simplify (- 0) into 0 7.091 * [backup-simplify]: Simplify (+ 0 0) into 0 7.091 * [taylor]: Taking taylor expansion of 0 in y 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.092 * [backup-simplify]: Simplify (- 0) into 0 7.092 * [backup-simplify]: Simplify (+ 0 0) into 0 7.092 * [taylor]: Taking taylor expansion of 0 in y 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (* 1 1) into 1 7.093 * [backup-simplify]: Simplify (- 1) into -1 7.093 * [backup-simplify]: Simplify -1 into -1 7.093 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.094 * [backup-simplify]: Simplify (- 0) into 0 7.094 * [backup-simplify]: Simplify (+ 0 0) into 0 7.094 * [taylor]: Taking taylor expansion of 0 in y 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify 0 into 0 7.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.094 * [backup-simplify]: Simplify (- 0) into 0 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify (* 1 1) into 1 7.095 * [backup-simplify]: Simplify (* 1 1) into 1 7.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.096 * [backup-simplify]: Simplify (- 0) into 0 7.096 * [backup-simplify]: Simplify (+ 1 0) into 1 7.096 * [taylor]: Taking taylor expansion of 1 in y 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [backup-simplify]: Simplify 1 into 1 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 0 into 0 7.096 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.097 * [backup-simplify]: Simplify (- 0) into 0 7.097 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.099 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.099 * [backup-simplify]: Simplify (- 0) into 0 7.099 * [backup-simplify]: Simplify (+ 0 0) into 0 7.100 * [taylor]: Taking taylor expansion of 0 in y 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify 0 into 0 7.100 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -1 (pow (* y 1) 2))) into (- (pow x 4) (pow y 2)) 7.100 * [backup-simplify]: Simplify (- (* (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 7.100 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 7.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.100 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.100 * [taylor]: Taking taylor expansion of x in y 7.100 * [backup-simplify]: Simplify x into x 7.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.100 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.100 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.101 * [taylor]: Taking taylor expansion of y in y 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 1 into 1 7.101 * [backup-simplify]: Simplify (* 1 1) into 1 7.101 * [backup-simplify]: Simplify (/ 1 1) into 1 7.101 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.101 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.101 * [taylor]: Taking taylor expansion of x in x 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 1 into 1 7.101 * [backup-simplify]: Simplify (* 1 1) into 1 7.102 * [backup-simplify]: Simplify (* 1 1) into 1 7.102 * [backup-simplify]: Simplify (/ 1 1) into 1 7.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.102 * [taylor]: Taking taylor expansion of y in x 7.102 * [backup-simplify]: Simplify y into y 7.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.102 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.102 * [taylor]: Taking taylor expansion of x in x 7.102 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify 1 into 1 7.103 * [backup-simplify]: Simplify (* 1 1) into 1 7.103 * [backup-simplify]: Simplify (* 1 1) into 1 7.103 * [backup-simplify]: Simplify (/ 1 1) into 1 7.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.103 * [taylor]: Taking taylor expansion of y in x 7.103 * [backup-simplify]: Simplify y into y 7.103 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.104 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.104 * [backup-simplify]: Simplify (+ 1 0) into 1 7.104 * [taylor]: Taking taylor expansion of 1 in y 7.104 * [backup-simplify]: Simplify 1 into 1 7.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.105 * [backup-simplify]: Simplify (+ 0 0) into 0 7.105 * [taylor]: Taking taylor expansion of 0 in y 7.105 * [backup-simplify]: Simplify 0 into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (+ 0 0) into 0 7.107 * [taylor]: Taking taylor expansion of 0 in y 7.107 * [backup-simplify]: Simplify 0 into 0 7.107 * [backup-simplify]: Simplify 1 into 1 7.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (+ 0 0) into 0 7.109 * [taylor]: Taking taylor expansion of 0 in y 7.109 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.112 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.112 * [taylor]: Taking taylor expansion of y in y 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (* 1 1) into 1 7.113 * [backup-simplify]: Simplify (/ 1 1) into 1 7.113 * [backup-simplify]: Simplify (- 1) into -1 7.113 * [backup-simplify]: Simplify -1 into -1 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.118 * [backup-simplify]: Simplify (- 0) into 0 7.118 * [backup-simplify]: Simplify (+ 0 0) into 0 7.118 * [taylor]: Taking taylor expansion of 0 in y 7.118 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.120 * [backup-simplify]: Simplify (- 0) into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (pow y 2)) 7.121 * [backup-simplify]: Simplify (- (* (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) 7.121 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in (x y) around 0 7.121 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in y 7.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 7.121 * [taylor]: Taking taylor expansion of (pow x 4) in y 7.121 * [taylor]: Taking taylor expansion of x in y 7.121 * [backup-simplify]: Simplify x into x 7.121 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.122 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 7.122 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 7.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.122 * [taylor]: Taking taylor expansion of y in y 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (* 1 1) into 1 7.123 * [backup-simplify]: Simplify (/ 1 1) into 1 7.123 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.123 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.123 * [taylor]: Taking taylor expansion of x in x 7.123 * [backup-simplify]: Simplify 0 into 0 7.123 * [backup-simplify]: Simplify 1 into 1 7.123 * [backup-simplify]: Simplify (* 1 1) into 1 7.124 * [backup-simplify]: Simplify (* 1 1) into 1 7.124 * [backup-simplify]: Simplify (/ 1 1) into 1 7.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.124 * [taylor]: Taking taylor expansion of y in x 7.124 * [backup-simplify]: Simplify y into y 7.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (/ 1 (pow y 2))) in x 7.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.124 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.124 * [taylor]: Taking taylor expansion of x in x 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.125 * [backup-simplify]: Simplify (* 1 1) into 1 7.125 * [backup-simplify]: Simplify (* 1 1) into 1 7.126 * [backup-simplify]: Simplify (/ 1 1) into 1 7.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.126 * [taylor]: Taking taylor expansion of y in x 7.126 * [backup-simplify]: Simplify y into y 7.126 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.126 * [backup-simplify]: Simplify (+ 1 0) into 1 7.126 * [taylor]: Taking taylor expansion of 1 in y 7.126 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (+ 0 0) into 0 7.129 * [taylor]: Taking taylor expansion of 0 in y 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.131 * [backup-simplify]: Simplify (+ 0 0) into 0 7.131 * [taylor]: Taking taylor expansion of 0 in y 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify (+ 0 0) into 0 7.134 * [taylor]: Taking taylor expansion of 0 in y 7.134 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.140 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 7.140 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 7.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.141 * [taylor]: Taking taylor expansion of y in y 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.142 * [backup-simplify]: Simplify (/ 1 1) into 1 7.142 * [backup-simplify]: Simplify (- 1) into -1 7.142 * [backup-simplify]: Simplify -1 into -1 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.147 * [backup-simplify]: Simplify (- 0) into 0 7.148 * [backup-simplify]: Simplify (+ 0 0) into 0 7.148 * [taylor]: Taking taylor expansion of 0 in y 7.148 * [backup-simplify]: Simplify 0 into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify (- 0) into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify (+ (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (pow y 2)) 7.152 * * * [progress]: simplifying candidates 7.157 * [simplify]: Simplifying: (- (log (sqrt (- (* (* x x) (* x x)) (* y y)))) (log (sqrt (- (* x x) y)))) (log (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (/ (* (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))) (* (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))))) (cbrt (/ (sqrt (- (* (* x x) 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(- (* (* x x) (* x x)) (* y y))) (* (* (- (* (* x x) (* x x)) (* y y)) (- (* (* x x) (* x x)) (* y y))) (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (- (pow (* (* x x) (* x x)) 3) (pow (* y y) 3)) (+ (* (* (* x x) (* x x)) (* (* x x) (* x x))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (* y y)))) (- (* y y)) (- (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* y y) (* y y))) (+ (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (- (* x x) y) (- (* y y)) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (- x (* 1/2 (/ y x))) (- (* 1/2 (/ y x)) x) (* (sqrt -1) y) (pow x 2) (pow x 2) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) (- (pow x 4) (pow y 2)) 7.162 * * [simplify]: iteration 0: 183 enodes 7.215 * * [simplify]: iteration 1: 371 enodes 7.321 * * [simplify]: iteration 2: 933 enodes 8.220 * * [simplify]: iteration 3: 4312 enodes 9.569 * * [simplify]: iteration complete: 5012 enodes 9.569 * * [simplify]: Extracting #0: cost 112 inf + 0 9.571 * * [simplify]: Extracting #1: cost 409 inf + 2 9.576 * * [simplify]: Extracting #2: cost 1131 inf + 377 9.605 * * [simplify]: Extracting #3: cost 1104 inf + 52034 9.666 * * [simplify]: Extracting #4: cost 338 inf + 181782 9.748 * * [simplify]: Extracting #5: cost 12 inf + 267623 9.807 * * [simplify]: Extracting #6: cost 0 inf + 271579 9.900 * [simplify]: Simplified to: (log (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (log (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (exp (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (* (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (- (* x x) y)) (/ (* (+ (* x x) y) (- (* x x) y)) (sqrt (- (* x x) y)))) (* (cbrt (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- (* x x) y)))) (cbrt (/ (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (- 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y) (- (* x x) y)))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (sqrt (* (+ (* x x) y) (- (* x x) y))) (- (* (* (* x x) (* (* x x) (* x x))) (* (* x x) (* (* x x) (* x x)))) (* (* (* y y) (* y y)) (* y y))) (+ (* (* y y) (* y y)) (* (* (* x x) (* x x)) (+ (* y y) (* (* x x) (* x x))))) (* y (- y)) (* (+ (* (* x x) (* x x)) (* y y)) (- (* (* x x) (* x x)) (* y y))) (+ (* y y) (* (* x x) (* x x))) (+ (* x x) y) (- (* x x) y) (* y (- y)) (+ (* +nan.0 (- (* x x) y)) (- (* +nan.0 (* y y)))) (+ (/ (* y 1/2) x) x) (- (* -1/2 (/ y x)) x) (+ (* +nan.0 (- (* x x) y)) (- (* +nan.0 (* y y)))) (- x (/ (* y 1/2) x)) (- (/ (* y 1/2) x) x) (* y (sqrt -1)) (* x x) (* x x) (* (+ (* x x) y) (- (* x x) y)) (* (+ (* x x) y) (- (* x x) y)) (* (+ (* x x) y) (- (* x x) y)) 9.913 * * * [progress]: adding candidates to table 10.571 * [progress]: [Phase 3 of 3] Extracting. 10.571 * * [regime]: Finding splitpoints for: (# # # #) 10.571 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 10.571 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 10.605 * * * * [regimes]: Trying to branch on (* x x) from (# #) 10.641 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 10.690 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 10.739 * * * * [regimes]: Trying to branch on y from (# # # #) 10.857 * * * * [regimes]: Trying to branch on x from (# # # #) 10.921 * * * [regime]: Found split indices: #