24.662 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.020 * * [simplify]: Extracting # 0 : cost 0 0.020 * * [simplify]: Extracting # 1 : cost 0 0.020 * * [simplify]: Extracting # 2 : cost 0 0.020 * * [simplify]: Extracting # 3 : cost 0 0.020 * * [simplify]: Extracting # 4 : cost 0 0.020 * * [simplify]: Extracting # 5 : cost 0 0.020 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: iteration done: 6 enodes (cost 6 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [backup-simplify]: Simplify x into x 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [backup-simplify]: Simplify 0 into 0 0.038 * [backup-simplify]: Simplify 1 into 1 0.038 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.038 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.039 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.039 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.039 * [backup-simplify]: Simplify (+ 0 1) into 1 0.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [backup-simplify]: Simplify 0 into 0 0.039 * [backup-simplify]: Simplify 1 into 1 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [backup-simplify]: Simplify y into y 0.039 * [backup-simplify]: Simplify (+ 0 y) into y 0.039 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.040 * [backup-simplify]: Simplify (+ 0 0) into 0 0.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [backup-simplify]: Simplify y into y 0.040 * [backup-simplify]: Simplify (+ 0 y) into y 0.040 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.040 * [backup-simplify]: Simplify (+ 0 0) into 0 0.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.040 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [backup-simplify]: Simplify 0 into 0 0.040 * [backup-simplify]: Simplify 1 into 1 0.041 * [backup-simplify]: Simplify (sqrt 0) into 0 0.042 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify 0 into 0 0.042 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.042 * [backup-simplify]: Simplify (* 1 1) into 1 0.042 * [backup-simplify]: Simplify (+ 1 0) into 1 0.043 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.043 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.043 * [taylor]: Taking taylor expansion of 1/2 in y 0.043 * [backup-simplify]: Simplify 1/2 into 1/2 0.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [backup-simplify]: Simplify 0 into 0 0.043 * [backup-simplify]: Simplify 1 into 1 0.043 * [backup-simplify]: Simplify (/ 1 1) into 1 0.043 * [backup-simplify]: Simplify (sqrt 0) into 0 0.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.045 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.045 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.045 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.047 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.048 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.048 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [backup-simplify]: Simplify x into x 0.048 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.048 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (/ 1 1) into 1 0.057 * [backup-simplify]: Simplify (+ 0 1) into 1 0.057 * [backup-simplify]: Simplify (sqrt 0) into 0 0.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* 1 1) into 1 0.059 * [backup-simplify]: Simplify (/ 1 1) into 1 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [backup-simplify]: Simplify y into y 0.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.059 * [backup-simplify]: Simplify (+ 1 0) into 1 0.059 * [backup-simplify]: Simplify (sqrt 1) into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.061 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [backup-simplify]: Simplify y into y 0.062 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.062 * [backup-simplify]: Simplify (+ 1 0) into 1 0.062 * [backup-simplify]: Simplify (sqrt 1) into 1 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.066 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.066 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.066 * [taylor]: Taking taylor expansion of 1/2 in y 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.066 * [backup-simplify]: Simplify 1/2 into 1/2 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of -1/8 in y 0.073 * [backup-simplify]: Simplify -1/8 into -1/8 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.074 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.074 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.074 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.075 * [backup-simplify]: Simplify x into x 0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.075 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [backup-simplify]: Simplify (- 1) into -1 0.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.076 * [backup-simplify]: Simplify (sqrt 0) into 0 0.077 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1 1) into 1 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.077 * [backup-simplify]: Simplify y into y 0.077 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.078 * [backup-simplify]: Simplify (+ 1 0) into 1 0.078 * [backup-simplify]: Simplify (sqrt 1) into 1 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [backup-simplify]: Simplify (sqrt 1) into 1 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.083 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.084 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.084 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.084 * [taylor]: Taking taylor expansion of -1/2 in y 0.084 * [backup-simplify]: Simplify -1/2 into -1/2 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.085 * [backup-simplify]: Simplify -1/2 into -1/2 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.090 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of -1/8 in y 0.090 * [backup-simplify]: Simplify -1/8 into -1/8 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.092 * * * [progress]: simplifying candidates 0.092 * [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 x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.093 * * [simplify]: Extracting # 0 : cost 0 0.093 * * [simplify]: Extracting # 1 : cost 0 0.093 * * [simplify]: Extracting # 2 : cost 0 0.093 * * [simplify]: Extracting # 3 : cost 0 0.093 * * [simplify]: Extracting # 4 : cost 0 0.093 * * [simplify]: Extracting # 5 : cost 0 0.093 * * [simplify]: Extracting # 6 : cost 0 0.093 * * [simplify]: Extracting # 7 : cost 0 0.093 * * [simplify]: iteration 0 : 51 enodes (cost 195 ) 0.104 * * [simplify]: Extracting # 0 : cost 0 0.104 * * [simplify]: Extracting # 1 : cost 0 0.104 * * [simplify]: Extracting # 2 : cost 0 0.104 * * [simplify]: Extracting # 3 : cost 0 0.104 * * [simplify]: Extracting # 4 : cost 0 0.105 * * [simplify]: iteration 1 : 116 enodes (cost 173 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: Extracting # 1 : cost 0 0.135 * * [simplify]: Extracting # 2 : cost 0 0.135 * * [simplify]: Extracting # 3 : cost 0 0.135 * * [simplify]: Extracting # 4 : cost 0 0.136 * * [simplify]: iteration 2 : 251 enodes (cost 157 ) 0.246 * * [simplify]: Extracting # 0 : cost 0 0.247 * * [simplify]: Extracting # 1 : cost 0 0.248 * * [simplify]: Extracting # 2 : cost 0 0.248 * * [simplify]: Extracting # 3 : cost 0 0.249 * * [simplify]: iteration 3 : 484 enodes (cost 154 ) 0.425 * * [simplify]: Extracting # 0 : cost 0 0.426 * * [simplify]: Extracting # 1 : cost 0 0.426 * * [simplify]: Extracting # 2 : cost 0 0.427 * * [simplify]: Extracting # 3 : cost 0 0.428 * * [simplify]: Extracting # 4 : cost 0 0.430 * * [simplify]: iteration 4 : 858 enodes (cost 153 ) 0.891 * * [simplify]: Extracting # 0 : cost 0 0.894 * * [simplify]: Extracting # 1 : cost 0 0.897 * * [simplify]: Extracting # 2 : cost 0 0.899 * * [simplify]: Extracting # 3 : cost 0 0.902 * * [simplify]: Extracting # 4 : cost 0 0.904 * * [simplify]: iteration 5 : 1588 enodes (cost 153 ) 2.326 * * [simplify]: Extracting # 0 : cost 0 2.329 * * [simplify]: Extracting # 1 : cost 0 2.332 * * [simplify]: Extracting # 2 : cost 0 2.339 * * [simplify]: Extracting # 3 : cost 0 2.342 * * [simplify]: Extracting # 4 : cost 0 2.345 * * [simplify]: iteration 6 : 3836 enodes (cost 153 ) 3.773 * * [simplify]: Extracting # 0 : cost 0 3.778 * * [simplify]: Extracting # 1 : cost 0 3.783 * * [simplify]: Extracting # 2 : cost 0 3.793 * * [simplify]: Extracting # 3 : cost 0 3.797 * * [simplify]: Extracting # 4 : cost 0 3.801 * * [simplify]: iteration done: 5001 enodes (cost 153 ) 3.802 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* (/ y x) -1/2) x) 3.802 * * * [progress]: adding candidates to table 3.859 * * [progress]: iteration 2 / 4 3.859 * * * [progress]: picking best candidate 3.863 * * * * [pick]: Picked # 3.863 * * * [progress]: localizing error 3.870 * * * [progress]: generating rewritten candidates 3.871 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.882 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.897 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.961 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.977 * * * [progress]: generating series expansions 3.977 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.977 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 3.977 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 3.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 3.977 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 3.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.977 * [taylor]: Taking taylor expansion of x in y 3.977 * [backup-simplify]: Simplify x into x 3.977 * [taylor]: Taking taylor expansion of y in y 3.977 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.978 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.978 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.978 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.978 * [backup-simplify]: Simplify (+ 0 1) into 1 3.978 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 3.978 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.978 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.978 * [taylor]: Taking taylor expansion of x in x 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.979 * [taylor]: Taking taylor expansion of y in x 3.979 * [backup-simplify]: Simplify y into y 3.979 * [backup-simplify]: Simplify (+ 0 y) into y 3.979 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.979 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 3.979 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 3.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.979 * [taylor]: Taking taylor expansion of x in x 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [taylor]: Taking taylor expansion of y in x 3.979 * [backup-simplify]: Simplify y into y 3.979 * [backup-simplify]: Simplify (+ 0 y) into y 3.979 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 3.979 * [backup-simplify]: Simplify (+ 0 0) into 0 3.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 3.979 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.979 * [taylor]: Taking taylor expansion of y in y 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (sqrt 0) into 0 3.981 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [taylor]: Taking taylor expansion of 0 in y 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.982 * [backup-simplify]: Simplify (* 1 1) into 1 3.982 * [backup-simplify]: Simplify (+ 1 0) into 1 3.983 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 3.983 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 3.983 * [taylor]: Taking taylor expansion of 1/2 in y 3.983 * [backup-simplify]: Simplify 1/2 into 1/2 3.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.983 * [taylor]: Taking taylor expansion of y in y 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ 1 1) into 1 3.983 * [backup-simplify]: Simplify (sqrt 0) into 0 3.985 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.986 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 3.986 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.986 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.989 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 3.989 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3.989 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 3.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 3.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 3.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.989 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.989 * [taylor]: Taking taylor expansion of x in y 3.989 * [backup-simplify]: Simplify x into x 3.989 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.989 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.989 * [taylor]: Taking taylor expansion of y in y 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify 1 into 1 3.989 * [backup-simplify]: Simplify (/ 1 1) into 1 3.990 * [backup-simplify]: Simplify (+ 0 1) into 1 3.990 * [backup-simplify]: Simplify (sqrt 0) into 0 3.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.991 * [taylor]: Taking taylor expansion of x in x 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (* 1 1) into 1 3.991 * [backup-simplify]: Simplify (/ 1 1) into 1 3.991 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.991 * [taylor]: Taking taylor expansion of y in x 3.991 * [backup-simplify]: Simplify y into y 3.991 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.992 * [backup-simplify]: Simplify (+ 1 0) into 1 3.992 * [backup-simplify]: Simplify (sqrt 1) into 1 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 3.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.994 * [taylor]: Taking taylor expansion of x in x 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [backup-simplify]: Simplify (* 1 1) into 1 3.994 * [backup-simplify]: Simplify (/ 1 1) into 1 3.994 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.994 * [taylor]: Taking taylor expansion of y in x 3.994 * [backup-simplify]: Simplify y into y 3.994 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.995 * [backup-simplify]: Simplify (+ 1 0) into 1 3.995 * [backup-simplify]: Simplify (sqrt 1) into 1 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ 0 0) into 0 3.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.997 * [taylor]: Taking taylor expansion of 1 in y 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [taylor]: Taking taylor expansion of 0 in y 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.998 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 3.999 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.999 * [taylor]: Taking taylor expansion of 1/2 in y 3.999 * [backup-simplify]: Simplify 1/2 into 1/2 3.999 * [taylor]: Taking taylor expansion of y in y 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.999 * [backup-simplify]: Simplify 1/2 into 1/2 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.005 * [backup-simplify]: Simplify (+ 0 0) into 0 4.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 4.005 * [taylor]: Taking taylor expansion of 0 in y 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.008 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.008 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.008 * [taylor]: Taking taylor expansion of -1/8 in y 4.008 * [backup-simplify]: Simplify -1/8 into -1/8 4.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.008 * [taylor]: Taking taylor expansion of y in y 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (* 1 1) into 1 4.008 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.010 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 4.010 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.010 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.010 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.010 * [taylor]: Taking taylor expansion of x in y 4.010 * [backup-simplify]: Simplify x into x 4.010 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.010 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.010 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.010 * [taylor]: Taking taylor expansion of y in y 4.010 * [backup-simplify]: Simplify 0 into 0 4.010 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.011 * [backup-simplify]: Simplify (- 1) into -1 4.011 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.011 * [backup-simplify]: Simplify (sqrt 0) into 0 4.012 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.012 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.012 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.012 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.012 * [taylor]: Taking taylor expansion of x in x 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* 1 1) into 1 4.013 * [backup-simplify]: Simplify (/ 1 1) into 1 4.013 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.013 * [taylor]: Taking taylor expansion of y in x 4.013 * [backup-simplify]: Simplify y into y 4.013 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.013 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [backup-simplify]: Simplify (sqrt 1) into 1 4.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.016 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.016 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.016 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.016 * [taylor]: Taking taylor expansion of x in x 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (* 1 1) into 1 4.016 * [backup-simplify]: Simplify (/ 1 1) into 1 4.016 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.016 * [taylor]: Taking taylor expansion of y in x 4.016 * [backup-simplify]: Simplify y into y 4.016 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.017 * [backup-simplify]: Simplify (+ 1 0) into 1 4.017 * [backup-simplify]: Simplify (sqrt 1) into 1 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.018 * [backup-simplify]: Simplify (+ 0 0) into 0 4.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.019 * [taylor]: Taking taylor expansion of 1 in y 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of 0 in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.020 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.021 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 4.021 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.021 * [taylor]: Taking taylor expansion of -1/2 in y 4.021 * [backup-simplify]: Simplify -1/2 into -1/2 4.021 * [taylor]: Taking taylor expansion of y in y 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.021 * [backup-simplify]: Simplify -1/2 into -1/2 4.021 * [backup-simplify]: Simplify 0 into 0 4.021 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.023 * [backup-simplify]: Simplify (- 0) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 4.023 * [taylor]: Taking taylor expansion of 0 in y 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.025 * [backup-simplify]: Simplify (- 0) into 0 4.026 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.026 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.026 * [taylor]: Taking taylor expansion of -1/8 in y 4.026 * [backup-simplify]: Simplify -1/8 into -1/8 4.026 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.026 * [taylor]: Taking taylor expansion of y in y 4.026 * [backup-simplify]: Simplify 0 into 0 4.026 * [backup-simplify]: Simplify 1 into 1 4.027 * [backup-simplify]: Simplify (* 1 1) into 1 4.027 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 4.028 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.028 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 4.028 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 4.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 4.028 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.028 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.028 * [taylor]: Taking taylor expansion of x in y 4.028 * [backup-simplify]: Simplify x into x 4.028 * [taylor]: Taking taylor expansion of y in y 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.028 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.029 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.029 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.029 * [backup-simplify]: Simplify (+ 0 1) into 1 4.029 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 4.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 4.029 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of y in x 4.029 * [backup-simplify]: Simplify y into y 4.029 * [backup-simplify]: Simplify (+ 0 y) into y 4.029 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.029 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 4.030 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.030 * [taylor]: Taking taylor expansion of x in x 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [taylor]: Taking taylor expansion of y in x 4.030 * [backup-simplify]: Simplify y into y 4.030 * [backup-simplify]: Simplify (+ 0 y) into y 4.030 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.030 * [backup-simplify]: Simplify (+ 0 0) into 0 4.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.030 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.030 * [taylor]: Taking taylor expansion of y in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (sqrt 0) into 0 4.031 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [taylor]: Taking taylor expansion of 0 in y 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.032 * [backup-simplify]: Simplify (+ 1 0) into 1 4.032 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 4.032 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 4.032 * [taylor]: Taking taylor expansion of 1/2 in y 4.032 * [backup-simplify]: Simplify 1/2 into 1/2 4.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.032 * [taylor]: Taking taylor expansion of y in y 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [backup-simplify]: Simplify (sqrt 0) into 0 4.034 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.034 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 4.035 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.035 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.036 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.037 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 4.037 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 4.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.037 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.037 * [taylor]: Taking taylor expansion of x in y 4.037 * [backup-simplify]: Simplify x into x 4.037 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.037 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.037 * [taylor]: Taking taylor expansion of y in y 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [backup-simplify]: Simplify (+ 0 1) into 1 4.038 * [backup-simplify]: Simplify (sqrt 0) into 0 4.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.039 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.039 * [taylor]: Taking taylor expansion of x in x 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (* 1 1) into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.040 * [taylor]: Taking taylor expansion of y in x 4.040 * [backup-simplify]: Simplify y into y 4.040 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.040 * [backup-simplify]: Simplify (+ 1 0) into 1 4.040 * [backup-simplify]: Simplify (sqrt 1) into 1 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.042 * [taylor]: Taking taylor expansion of x in x 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.042 * [backup-simplify]: Simplify (* 1 1) into 1 4.042 * [backup-simplify]: Simplify (/ 1 1) into 1 4.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.042 * [taylor]: Taking taylor expansion of y in x 4.042 * [backup-simplify]: Simplify y into y 4.042 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.043 * [backup-simplify]: Simplify (+ 1 0) into 1 4.043 * [backup-simplify]: Simplify (sqrt 1) into 1 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.044 * [taylor]: Taking taylor expansion of 1 in y 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [taylor]: Taking taylor expansion of 0 in y 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.046 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 4.046 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.046 * [taylor]: Taking taylor expansion of 1/2 in y 4.046 * [backup-simplify]: Simplify 1/2 into 1/2 4.046 * [taylor]: Taking taylor expansion of y in y 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.047 * [backup-simplify]: Simplify 1/2 into 1/2 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 4.049 * [taylor]: Taking taylor expansion of 0 in y 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.052 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.052 * [taylor]: Taking taylor expansion of -1/8 in y 4.052 * [backup-simplify]: Simplify -1/8 into -1/8 4.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.052 * [taylor]: Taking taylor expansion of y in y 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [backup-simplify]: Simplify (* 1 1) into 1 4.052 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.054 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 4.054 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.054 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.054 * [taylor]: Taking taylor expansion of x in y 4.054 * [backup-simplify]: Simplify x into x 4.054 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.054 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.054 * [taylor]: Taking taylor expansion of y in y 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [backup-simplify]: Simplify (- 1) into -1 4.055 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.055 * [backup-simplify]: Simplify (sqrt 0) into 0 4.056 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.056 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.056 * [taylor]: Taking taylor expansion of x in x 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1 1) into 1 4.056 * [backup-simplify]: Simplify (/ 1 1) into 1 4.056 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.056 * [taylor]: Taking taylor expansion of y in x 4.056 * [backup-simplify]: Simplify y into y 4.056 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.057 * [backup-simplify]: Simplify (+ 1 0) into 1 4.057 * [backup-simplify]: Simplify (sqrt 1) into 1 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.058 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (* 1 1) into 1 4.059 * [backup-simplify]: Simplify (/ 1 1) into 1 4.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.059 * [taylor]: Taking taylor expansion of y in x 4.059 * [backup-simplify]: Simplify y into y 4.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.059 * [backup-simplify]: Simplify (+ 1 0) into 1 4.060 * [backup-simplify]: Simplify (sqrt 1) into 1 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.061 * [taylor]: Taking taylor expansion of 1 in y 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [taylor]: Taking taylor expansion of 0 in y 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify 1 into 1 4.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.062 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.063 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 4.063 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.063 * [taylor]: Taking taylor expansion of -1/2 in y 4.063 * [backup-simplify]: Simplify -1/2 into -1/2 4.063 * [taylor]: Taking taylor expansion of y in y 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.063 * [backup-simplify]: Simplify -1/2 into -1/2 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 4.066 * [taylor]: Taking taylor expansion of 0 in y 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.068 * [backup-simplify]: Simplify (- 0) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.069 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.069 * [taylor]: Taking taylor expansion of -1/8 in y 4.069 * [backup-simplify]: Simplify -1/8 into -1/8 4.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.069 * [taylor]: Taking taylor expansion of y in y 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 4.070 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.071 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 4.071 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 4.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 4.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.071 * [taylor]: Taking taylor expansion of x in y 4.071 * [backup-simplify]: Simplify x into x 4.071 * [taylor]: Taking taylor expansion of y in y 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.071 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.071 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.071 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.071 * [backup-simplify]: Simplify (+ 0 1) into 1 4.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 4.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 4.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [taylor]: Taking taylor expansion of y in x 4.072 * [backup-simplify]: Simplify y into y 4.072 * [backup-simplify]: Simplify (+ 0 y) into y 4.072 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 4.072 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.072 * [taylor]: Taking taylor expansion of x in x 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [taylor]: Taking taylor expansion of y in x 4.072 * [backup-simplify]: Simplify y into y 4.072 * [backup-simplify]: Simplify (+ 0 y) into y 4.072 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 4.073 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.073 * [taylor]: Taking taylor expansion of y in y 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (sqrt 0) into 0 4.074 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [taylor]: Taking taylor expansion of 0 in y 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.074 * [backup-simplify]: Simplify (* 1 1) into 1 4.074 * [backup-simplify]: Simplify (+ 1 0) into 1 4.075 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 4.075 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 4.075 * [taylor]: Taking taylor expansion of 1/2 in y 4.075 * [backup-simplify]: Simplify 1/2 into 1/2 4.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.075 * [taylor]: Taking taylor expansion of y in y 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [backup-simplify]: Simplify (sqrt 0) into 0 4.076 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.077 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 4.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.077 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.079 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.080 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 4.080 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 4.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.080 * [taylor]: Taking taylor expansion of x in y 4.080 * [backup-simplify]: Simplify x into x 4.080 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.080 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.080 * [taylor]: Taking taylor expansion of y in y 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.081 * [backup-simplify]: Simplify (+ 0 1) into 1 4.081 * [backup-simplify]: Simplify (sqrt 0) into 0 4.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.082 * [taylor]: Taking taylor expansion of y in x 4.082 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.083 * [backup-simplify]: Simplify (+ 1 0) into 1 4.083 * [backup-simplify]: Simplify (sqrt 1) into 1 4.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (+ 0 0) into 0 4.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.085 * [taylor]: Taking taylor expansion of x in x 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (/ 1 1) into 1 4.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.085 * [taylor]: Taking taylor expansion of y in x 4.085 * [backup-simplify]: Simplify y into y 4.085 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.085 * [backup-simplify]: Simplify (+ 1 0) into 1 4.086 * [backup-simplify]: Simplify (sqrt 1) into 1 4.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.087 * [taylor]: Taking taylor expansion of 1 in y 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of 0 in y 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.089 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 4.089 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 4.089 * [taylor]: Taking taylor expansion of 1/2 in y 4.089 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [taylor]: Taking taylor expansion of y in y 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.089 * [backup-simplify]: Simplify 1/2 into 1/2 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.091 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 4.091 * [taylor]: Taking taylor expansion of 0 in y 4.091 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.098 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.098 * [taylor]: Taking taylor expansion of -1/8 in y 4.098 * [backup-simplify]: Simplify -1/8 into -1/8 4.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.098 * [taylor]: Taking taylor expansion of y in y 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (* 1 1) into 1 4.098 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 4.100 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 4.100 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 4.100 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.100 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.100 * [taylor]: Taking taylor expansion of x in y 4.100 * [backup-simplify]: Simplify x into x 4.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.100 * [taylor]: Taking taylor expansion of y in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [backup-simplify]: Simplify (- 1) into -1 4.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.101 * [backup-simplify]: Simplify (sqrt 0) into 0 4.102 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.102 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.102 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.102 * [taylor]: Taking taylor expansion of x in x 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (* 1 1) into 1 4.103 * [backup-simplify]: Simplify (/ 1 1) into 1 4.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.103 * [taylor]: Taking taylor expansion of y in x 4.103 * [backup-simplify]: Simplify y into y 4.103 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.103 * [backup-simplify]: Simplify (+ 1 0) into 1 4.103 * [backup-simplify]: Simplify (sqrt 1) into 1 4.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.105 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.105 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.105 * [taylor]: Taking taylor expansion of x in x 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (/ 1 1) into 1 4.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.105 * [taylor]: Taking taylor expansion of y in x 4.105 * [backup-simplify]: Simplify y into y 4.105 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.106 * [backup-simplify]: Simplify (+ 1 0) into 1 4.106 * [backup-simplify]: Simplify (sqrt 1) into 1 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.107 * [taylor]: Taking taylor expansion of 1 in y 4.107 * [backup-simplify]: Simplify 1 into 1 4.107 * [taylor]: Taking taylor expansion of 0 in y 4.107 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 1 into 1 4.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.109 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.109 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.109 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 4.109 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 4.109 * [taylor]: Taking taylor expansion of -1/2 in y 4.109 * [backup-simplify]: Simplify -1/2 into -1/2 4.110 * [taylor]: Taking taylor expansion of y in y 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 4.110 * [backup-simplify]: Simplify -1/2 into -1/2 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 4.112 * [taylor]: Taking taylor expansion of 0 in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.114 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 4.115 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 4.115 * [taylor]: Taking taylor expansion of -1/8 in y 4.115 * [backup-simplify]: Simplify -1/8 into -1/8 4.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.115 * [taylor]: Taking taylor expansion of y in y 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [backup-simplify]: Simplify (* 1 1) into 1 4.116 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 4.117 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.117 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4) 4.117 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 4.117 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 4.117 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 4.117 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 4.117 * [taylor]: Taking taylor expansion of 1/4 in y 4.117 * [backup-simplify]: Simplify 1/4 into 1/4 4.117 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 4.117 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.117 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.117 * [taylor]: Taking taylor expansion of x in y 4.117 * [backup-simplify]: Simplify x into x 4.117 * [taylor]: Taking taylor expansion of y in y 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.117 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.117 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 4.117 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 4.117 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 4.117 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 4.118 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 4.118 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 4.118 * [taylor]: Taking taylor expansion of 1/4 in x 4.118 * [backup-simplify]: Simplify 1/4 into 1/4 4.118 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 4.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.118 * [taylor]: Taking taylor expansion of x in x 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [taylor]: Taking taylor expansion of y in x 4.118 * [backup-simplify]: Simplify y into y 4.118 * [backup-simplify]: Simplify (+ 0 y) into y 4.118 * [backup-simplify]: Simplify (log y) into (log y) 4.118 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 4.118 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 4.118 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 4.118 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 4.118 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 4.118 * [taylor]: Taking taylor expansion of 1/4 in x 4.118 * [backup-simplify]: Simplify 1/4 into 1/4 4.118 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 4.118 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.118 * [taylor]: Taking taylor expansion of x in x 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [taylor]: Taking taylor expansion of y in x 4.118 * [backup-simplify]: Simplify y into y 4.118 * [backup-simplify]: Simplify (+ 0 y) into y 4.118 * [backup-simplify]: Simplify (log y) into (log y) 4.118 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 4.118 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 4.118 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 4.118 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 4.118 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 4.118 * [taylor]: Taking taylor expansion of 1/4 in y 4.118 * [backup-simplify]: Simplify 1/4 into 1/4 4.118 * [taylor]: Taking taylor expansion of (log y) in y 4.118 * [taylor]: Taking taylor expansion of y in y 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (log 1) into 0 4.119 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.119 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 4.119 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 4.119 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4) 4.119 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 4.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 4.121 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.121 * [taylor]: Taking taylor expansion of 0 in y 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.122 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 4.123 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (* 1 1) into 1 4.123 * [backup-simplify]: Simplify (+ 1 0) into 1 4.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 4.124 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y)) 4.125 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 4.125 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 4.125 * [taylor]: Taking taylor expansion of 1/4 in y 4.125 * [backup-simplify]: Simplify 1/4 into 1/4 4.125 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 4.125 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 4.125 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 4.125 * [taylor]: Taking taylor expansion of 1/4 in y 4.125 * [backup-simplify]: Simplify 1/4 into 1/4 4.125 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 4.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.125 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.125 * [taylor]: Taking taylor expansion of y in y 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (* 1 1) into 1 4.126 * [backup-simplify]: Simplify (/ 1 1) into 1 4.126 * [backup-simplify]: Simplify (log 1) into 0 4.126 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 4.127 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y)) 4.127 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4) 4.127 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 4.127 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 4.127 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.129 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0 4.130 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow y 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow y 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow y 1)))) 6) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 4.134 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.134 * [taylor]: Taking taylor expansion of 0 in y 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.137 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 4.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0 4.137 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.141 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 4.141 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 4.142 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (pow (* 1 x) 2)) (pow y 1/4)) into (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) 4.143 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) 4.143 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 4.143 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 4.143 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 4.143 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 4.143 * [taylor]: Taking taylor expansion of 1/4 in y 4.143 * [backup-simplify]: Simplify 1/4 into 1/4 4.143 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.143 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.143 * [taylor]: Taking taylor expansion of x in y 4.143 * [backup-simplify]: Simplify x into x 4.143 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.143 * [taylor]: Taking taylor expansion of y in y 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ 1 1) into 1 4.144 * [backup-simplify]: Simplify (+ 0 1) into 1 4.144 * [backup-simplify]: Simplify (log 1) into 0 4.145 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 4.145 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y)) 4.145 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4) 4.145 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 4.145 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 4.145 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.145 * [taylor]: Taking taylor expansion of 1/4 in x 4.145 * [backup-simplify]: Simplify 1/4 into 1/4 4.145 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.145 * [taylor]: Taking taylor expansion of x in x 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 1 1) into 1 4.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.145 * [taylor]: Taking taylor expansion of y in x 4.145 * [backup-simplify]: Simplify y into y 4.145 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.146 * [backup-simplify]: Simplify (+ 1 0) into 1 4.146 * [backup-simplify]: Simplify (log 1) into 0 4.146 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.146 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 4.146 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 4.146 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 4.146 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 4.146 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 4.146 * [taylor]: Taking taylor expansion of 1/4 in x 4.146 * [backup-simplify]: Simplify 1/4 into 1/4 4.146 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 4.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.147 * [taylor]: Taking taylor expansion of x in x 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [backup-simplify]: Simplify (* 1 1) into 1 4.147 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.147 * [taylor]: Taking taylor expansion of y in x 4.147 * [backup-simplify]: Simplify y into y 4.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.147 * [backup-simplify]: Simplify (+ 1 0) into 1 4.148 * [backup-simplify]: Simplify (log 1) into 0 4.148 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.148 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 4.148 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 4.148 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 4.148 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 4.148 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 4.148 * [taylor]: Taking taylor expansion of -1/2 in y 4.148 * [backup-simplify]: Simplify -1/2 into -1/2 4.148 * [taylor]: Taking taylor expansion of (log x) in y 4.148 * [taylor]: Taking taylor expansion of x in y 4.148 * [backup-simplify]: Simplify x into x 4.148 * [backup-simplify]: Simplify (log x) into (log x) 4.148 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 4.148 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 4.148 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.151 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.151 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 4.152 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.152 * [taylor]: Taking taylor expansion of 0 in y 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.152 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 4.153 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.155 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 y)) 1)) (pow 1 1)))) 2) into (/ 1 y) 4.155 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.156 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y)) 4.156 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 y)) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) 4.156 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 4.156 * [taylor]: Taking taylor expansion of 1/4 in y 4.156 * [backup-simplify]: Simplify 1/4 into 1/4 4.156 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 4.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 4.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.157 * [taylor]: Taking taylor expansion of x in y 4.157 * [backup-simplify]: Simplify x into x 4.157 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.157 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 4.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 4.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.157 * [taylor]: Taking taylor expansion of y in y 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 4.158 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 4.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.160 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.161 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.162 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 y)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.164 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.166 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 y)) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.166 * [taylor]: Taking taylor expansion of 0 in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 4.167 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) 4.167 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 4.167 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 4.167 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 4.167 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 4.167 * [taylor]: Taking taylor expansion of 1/4 in y 4.167 * [backup-simplify]: Simplify 1/4 into 1/4 4.167 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 4.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.167 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.167 * [taylor]: Taking taylor expansion of x in y 4.167 * [backup-simplify]: Simplify x into x 4.167 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.167 * [taylor]: Taking taylor expansion of y in y 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ 1 1) into 1 4.167 * [backup-simplify]: Simplify (- 1) into -1 4.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.168 * [backup-simplify]: Simplify (log -1) into (log -1) 4.168 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 4.169 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y))) 4.169 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y)))) 4.169 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 4.169 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.169 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.169 * [taylor]: Taking taylor expansion of 1/4 in x 4.169 * [backup-simplify]: Simplify 1/4 into 1/4 4.169 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [backup-simplify]: Simplify (* 1 1) into 1 4.170 * [backup-simplify]: Simplify (/ 1 1) into 1 4.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.170 * [taylor]: Taking taylor expansion of y in x 4.170 * [backup-simplify]: Simplify y into y 4.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.170 * [backup-simplify]: Simplify (+ 1 0) into 1 4.170 * [backup-simplify]: Simplify (log 1) into 0 4.171 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.171 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 4.171 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 4.171 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 4.171 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 4.171 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 4.171 * [taylor]: Taking taylor expansion of 1/4 in x 4.171 * [backup-simplify]: Simplify 1/4 into 1/4 4.171 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 4.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.171 * [taylor]: Taking taylor expansion of x in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [backup-simplify]: Simplify (* 1 1) into 1 4.171 * [backup-simplify]: Simplify (/ 1 1) into 1 4.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.171 * [taylor]: Taking taylor expansion of y in x 4.171 * [backup-simplify]: Simplify y into y 4.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.172 * [backup-simplify]: Simplify (+ 1 0) into 1 4.172 * [backup-simplify]: Simplify (log 1) into 0 4.172 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.172 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 4.172 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 4.172 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 4.172 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 4.173 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 4.173 * [taylor]: Taking taylor expansion of -1/2 in y 4.173 * [backup-simplify]: Simplify -1/2 into -1/2 4.173 * [taylor]: Taking taylor expansion of (log x) in y 4.173 * [taylor]: Taking taylor expansion of x in y 4.173 * [backup-simplify]: Simplify x into x 4.173 * [backup-simplify]: Simplify (log x) into (log x) 4.173 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 4.173 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 4.173 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 4.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.175 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 4.176 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.176 * [taylor]: Taking taylor expansion of 0 in y 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 4.177 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 4.177 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.178 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.179 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.180 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 y))) 1)) (pow 1 1)))) 2) into (/ -1 y) 4.180 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.181 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y))) 4.181 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)))) into (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) 4.181 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 4.181 * [taylor]: Taking taylor expansion of -1/4 in y 4.181 * [backup-simplify]: Simplify -1/4 into -1/4 4.181 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 4.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 4.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.181 * [taylor]: Taking taylor expansion of x in y 4.181 * [backup-simplify]: Simplify x into x 4.181 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.181 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 4.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 4.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.182 * [taylor]: Taking taylor expansion of y in y 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (/ 1 1) into 1 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 4.183 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 4.183 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 4.185 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 4.189 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.189 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.191 * [backup-simplify]: Simplify (- 0) into 0 4.191 * [backup-simplify]: Simplify (+ 0 0) into 0 4.193 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 y))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.194 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 4.194 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 4.195 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 y))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.195 * [taylor]: Taking taylor expansion of 0 in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2) 4.196 * * * [progress]: simplifying candidates 4.198 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) 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cost 0 4.201 * * [simplify]: Extracting # 4 : cost 0 4.202 * * [simplify]: Extracting # 5 : cost 0 4.202 * * [simplify]: Extracting # 6 : cost 0 4.202 * * [simplify]: Extracting # 7 : cost 0 4.202 * * [simplify]: Extracting # 8 : cost 0 4.202 * * [simplify]: Extracting # 9 : cost 0 4.202 * * [simplify]: Extracting # 10 : cost 0 4.202 * * [simplify]: Extracting # 11 : cost 0 4.203 * * [simplify]: iteration 0 : 138 enodes (cost 2475 ) 4.261 * * [simplify]: Extracting # 0 : cost 0 4.262 * * [simplify]: Extracting # 1 : cost 0 4.262 * * [simplify]: Extracting # 2 : cost 0 4.262 * * [simplify]: Extracting # 3 : cost 0 4.263 * * [simplify]: Extracting # 4 : cost 0 4.263 * * [simplify]: iteration 1 : 262 enodes (cost 1570 ) 4.360 * * [simplify]: Extracting # 0 : cost 0 4.361 * * [simplify]: Extracting # 1 : cost 0 4.362 * * [simplify]: Extracting # 2 : cost 0 4.363 * * [simplify]: Extracting # 3 : cost 0 4.364 * * [simplify]: Extracting # 4 : cost 0 4.365 * * [simplify]: iteration 2 : 631 enodes (cost 1419 ) 4.776 * * [simplify]: Extracting # 0 : cost 0 4.778 * * [simplify]: Extracting # 1 : cost 0 4.781 * * [simplify]: Extracting # 2 : cost 0 4.783 * * [simplify]: Extracting # 3 : cost 0 4.785 * * [simplify]: Extracting # 4 : cost 0 4.788 * * [simplify]: iteration 3 : 1554 enodes (cost 1383 ) 6.675 * * [simplify]: Extracting # 0 : cost 0 6.682 * * [simplify]: Extracting # 1 : cost 0 6.687 * * [simplify]: Extracting # 2 : cost 0 6.692 * * [simplify]: Extracting # 3 : cost 0 6.697 * * [simplify]: Extracting # 4 : cost 0 6.702 * * [simplify]: iteration 4 : 4280 enodes (cost 1351 ) 8.237 * * [simplify]: Extracting # 0 : cost 0 8.244 * * [simplify]: Extracting # 1 : cost 0 8.250 * * [simplify]: Extracting # 2 : cost 0 8.256 * * [simplify]: Extracting # 3 : cost 0 8.262 * * [simplify]: Extracting # 4 : cost 0 8.270 * * [simplify]: iteration done: 5001 enodes (cost 1337 ) 8.271 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (cbrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ y (* x x)) (sqrt (+ y (* x x))) (pow (sqrt (+ (* x x) y)) 4) (+ y (* x x)) (pow (sqrt (+ (* x x) y)) 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(sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 2) (cbrt (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (fabs (cbrt (+ (* x x) y)))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ (pow y 3) (pow x 6)))) (sqrt (sqrt (+ (pow x 4) (* y (- y (* x x)))))) (sqrt (sqrt (- (pow x 4) (* y y)))) (sqrt (sqrt (- (* x x) y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (* (- (- (* y y) y) (* x x)) +nan.0) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 8.272 * * * [progress]: adding candidates to table 8.593 * * [progress]: iteration 3 / 4 8.593 * * * [progress]: picking best candidate 8.595 * * * * [pick]: Picked # 8.595 * * * [progress]: localizing error 8.600 * * * [progress]: generating rewritten candidates 8.600 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 8.619 * * * [progress]: generating series expansions 8.619 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 8.619 * [backup-simplify]: Simplify (* (/ y x) -1/2) into (* -1/2 (/ y x)) 8.620 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 8.620 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 8.620 * [taylor]: Taking taylor expansion of -1/2 in x 8.620 * [backup-simplify]: Simplify -1/2 into -1/2 8.620 * [taylor]: Taking taylor expansion of (/ y x) in x 8.620 * [taylor]: Taking taylor expansion of y in x 8.620 * [backup-simplify]: Simplify y into y 8.620 * [taylor]: Taking taylor expansion of x in x 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (/ y 1) into y 8.620 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 8.620 * [taylor]: Taking taylor expansion of -1/2 in y 8.620 * [backup-simplify]: Simplify -1/2 into -1/2 8.620 * [taylor]: Taking taylor expansion of (/ y x) in y 8.620 * [taylor]: Taking taylor expansion of y in y 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of x in y 8.620 * [backup-simplify]: Simplify x into x 8.620 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.620 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 8.620 * [taylor]: Taking taylor expansion of -1/2 in y 8.620 * [backup-simplify]: Simplify -1/2 into -1/2 8.620 * [taylor]: Taking taylor expansion of (/ y x) in y 8.620 * [taylor]: Taking taylor expansion of y in y 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of x in y 8.620 * [backup-simplify]: Simplify x into x 8.620 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 8.620 * [backup-simplify]: Simplify (* -1/2 (/ 1 x)) into (/ -1/2 x) 8.620 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 8.620 * [taylor]: Taking taylor expansion of -1/2 in x 8.621 * [backup-simplify]: Simplify -1/2 into -1/2 8.621 * [taylor]: Taking taylor expansion of x in x 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.625 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 8.626 * [backup-simplify]: Simplify -1/2 into -1/2 8.626 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 8.626 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 x))) into 0 8.626 * [taylor]: Taking taylor expansion of 0 in x 8.626 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.627 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 8.627 * [taylor]: Taking taylor expansion of 0 in x 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 8.629 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 8.629 * [taylor]: Taking taylor expansion of 0 in x 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) y)) into (* -1/2 (/ y x)) 8.630 * [backup-simplify]: Simplify (* (/ (/ 1 y) (/ 1 x)) -1/2) into (* -1/2 (/ x y)) 8.630 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 8.630 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 8.630 * [taylor]: Taking taylor expansion of -1/2 in x 8.630 * [backup-simplify]: Simplify -1/2 into -1/2 8.630 * [taylor]: Taking taylor expansion of (/ x y) in x 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [taylor]: Taking taylor expansion of y in x 8.630 * [backup-simplify]: Simplify y into y 8.630 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.630 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 8.630 * [taylor]: Taking taylor expansion of -1/2 in y 8.630 * [backup-simplify]: Simplify -1/2 into -1/2 8.630 * [taylor]: Taking taylor expansion of (/ x y) in y 8.630 * [taylor]: Taking taylor expansion of x in y 8.630 * [backup-simplify]: Simplify x into x 8.630 * [taylor]: Taking taylor expansion of y in y 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (/ x 1) into x 8.630 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 8.630 * [taylor]: Taking taylor expansion of -1/2 in y 8.630 * [backup-simplify]: Simplify -1/2 into -1/2 8.630 * [taylor]: Taking taylor expansion of (/ x y) in y 8.630 * [taylor]: Taking taylor expansion of x in y 8.630 * [backup-simplify]: Simplify x into x 8.630 * [taylor]: Taking taylor expansion of y in y 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (/ x 1) into x 8.630 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 8.630 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 8.630 * [taylor]: Taking taylor expansion of -1/2 in x 8.630 * [backup-simplify]: Simplify -1/2 into -1/2 8.630 * [taylor]: Taking taylor expansion of x in x 8.630 * [backup-simplify]: Simplify 0 into 0 8.630 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 8.631 * [backup-simplify]: Simplify -1/2 into -1/2 8.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 8.632 * [taylor]: Taking taylor expansion of 0 in x 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.634 * [taylor]: Taking taylor expansion of 0 in x 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.634 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.637 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.637 * [taylor]: Taking taylor expansion of 0 in x 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* -1/2 (/ y x)) 8.637 * [backup-simplify]: Simplify (* (/ (/ 1 (- y)) (/ 1 (- x))) -1/2) into (* -1/2 (/ x y)) 8.637 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 8.637 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 8.637 * [taylor]: Taking taylor expansion of -1/2 in x 8.637 * [backup-simplify]: Simplify -1/2 into -1/2 8.637 * [taylor]: Taking taylor expansion of (/ x y) in x 8.637 * [taylor]: Taking taylor expansion of x in x 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 1 into 1 8.637 * [taylor]: Taking taylor expansion of y in x 8.637 * [backup-simplify]: Simplify y into y 8.637 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 8.637 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 8.637 * [taylor]: Taking taylor expansion of -1/2 in y 8.637 * [backup-simplify]: Simplify -1/2 into -1/2 8.637 * [taylor]: Taking taylor expansion of (/ x y) in y 8.637 * [taylor]: Taking taylor expansion of x in y 8.637 * [backup-simplify]: Simplify x into x 8.637 * [taylor]: Taking taylor expansion of y in y 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (/ x 1) into x 8.638 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 8.638 * [taylor]: Taking taylor expansion of -1/2 in y 8.638 * [backup-simplify]: Simplify -1/2 into -1/2 8.638 * [taylor]: Taking taylor expansion of (/ x y) in y 8.638 * [taylor]: Taking taylor expansion of x in y 8.638 * [backup-simplify]: Simplify x into x 8.638 * [taylor]: Taking taylor expansion of y in y 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.638 * [backup-simplify]: Simplify (/ x 1) into x 8.638 * [backup-simplify]: Simplify (* -1/2 x) into (* -1/2 x) 8.638 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 8.638 * [taylor]: Taking taylor expansion of -1/2 in x 8.638 * [backup-simplify]: Simplify -1/2 into -1/2 8.638 * [taylor]: Taking taylor expansion of x in x 8.638 * [backup-simplify]: Simplify 0 into 0 8.638 * [backup-simplify]: Simplify 1 into 1 8.639 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 8.639 * [backup-simplify]: Simplify -1/2 into -1/2 8.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 x)) into 0 8.640 * [taylor]: Taking taylor expansion of 0 in x 8.640 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.642 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 x))) into 0 8.642 * [taylor]: Taking taylor expansion of 0 in x 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.643 * [backup-simplify]: Simplify 0 into 0 8.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.646 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 8.646 * [taylor]: Taking taylor expansion of 0 in x 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* -1/2 (/ y x)) 8.646 * * * [progress]: simplifying candidates 8.647 * [simplify]: Simplifying: (* (/ y x) -1/2) (+ (- (log y) (log x)) (log -1/2)) (+ (log (/ y x)) (log -1/2)) (log (* (/ y x) -1/2)) (exp (* (/ y x) -1/2)) (* (/ (* (* y y) y) (* (* x x) x)) (* (* -1/2 -1/2) -1/2)) (* (* (* (/ y x) (/ y x)) (/ y x)) (* (* -1/2 -1/2) -1/2)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* (* (* (/ y x) -1/2) (* (/ y x) -1/2)) (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (* (/ y x) 1) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* (/ y x) -1/2) (* (/ y x) -1/2) (* (/ 1 x) -1/2) (* y -1/2) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 8.648 * * [simplify]: Extracting # 0 : cost 0 8.648 * * [simplify]: Extracting # 1 : cost 0 8.648 * * [simplify]: Extracting # 2 : cost 0 8.648 * * [simplify]: Extracting # 3 : cost 0 8.648 * * [simplify]: Extracting # 4 : cost 0 8.648 * * [simplify]: Extracting # 5 : cost 0 8.649 * * [simplify]: Extracting # 6 : cost 0 8.649 * * [simplify]: iteration 0 : 67 enodes (cost 261 ) 8.675 * * [simplify]: Extracting # 0 : cost 0 8.675 * * [simplify]: Extracting # 1 : cost 0 8.675 * * [simplify]: Extracting # 2 : cost 0 8.675 * * [simplify]: iteration 1 : 153 enodes (cost 244 ) 8.738 * * [simplify]: Extracting # 0 : cost 0 8.739 * * [simplify]: Extracting # 1 : cost 0 8.740 * * [simplify]: Extracting # 2 : cost 0 8.740 * * [simplify]: Extracting # 3 : cost 0 8.741 * * [simplify]: iteration 2 : 404 enodes (cost 224 ) 9.002 * * [simplify]: Extracting # 0 : cost 0 9.004 * * [simplify]: Extracting # 1 : cost 0 9.005 * * [simplify]: Extracting # 2 : cost 0 9.006 * * [simplify]: Extracting # 3 : cost 0 9.007 * * [simplify]: Extracting # 4 : cost 0 9.008 * * [simplify]: Extracting # 5 : cost 0 9.008 * * [simplify]: iteration 3 : 1033 enodes (cost 224 ) 11.070 * * [simplify]: Extracting # 0 : cost 0 11.074 * * [simplify]: Extracting # 1 : cost 0 11.076 * * [simplify]: Extracting # 2 : cost 0 11.078 * * [simplify]: Extracting # 3 : cost 0 11.081 * * [simplify]: Extracting # 4 : cost 0 11.087 * * [simplify]: iteration 4 : 2565 enodes (cost 224 ) 14.811 * * [simplify]: Extracting # 0 : cost 0 14.826 * * [simplify]: Extracting # 1 : cost 0 14.840 * * [simplify]: Extracting # 2 : cost 0 14.849 * * [simplify]: Extracting # 3 : cost 0 14.858 * * [simplify]: Extracting # 4 : cost 0 14.867 * * [simplify]: iteration done: 5001 enodes (cost 224 ) 14.868 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* (/ y x) -1/2)) (* -1/8 (pow (/ y x) 3)) (* -1/8 (pow (/ y x) 3)) (* (cbrt (* (/ y x) -1/2)) (cbrt (* (/ y x) -1/2))) (cbrt (* (/ y x) -1/2)) (* -1/8 (pow (/ y x) 3)) (sqrt (* (/ y x) -1/2)) (sqrt (* (/ y x) -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (sqrt (/ y x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ (sqrt y) (sqrt x)) (sqrt -1/2)) (* (/ y x) (* (cbrt -1/2) (cbrt -1/2))) (* (/ y x) (sqrt -1/2)) (/ y x) (* (cbrt (/ y x)) -1/2) (* (sqrt (/ y x)) -1/2) (* (/ (cbrt y) (cbrt x)) -1/2) (* (/ (cbrt y) (sqrt x)) -1/2) (* (/ (cbrt y) x) -1/2) (* (/ (sqrt y) (cbrt x)) -1/2) (* (/ (sqrt y) (sqrt x)) -1/2) (* (/ (sqrt y) x) -1/2) (* (/ y (cbrt x)) -1/2) (* (/ y (sqrt x)) -1/2) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (/ -1/2 x) (* -1/2 y) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 14.868 * * * [progress]: adding candidates to table 14.956 * * [progress]: iteration 4 / 4 14.957 * * * [progress]: picking best candidate 14.959 * * * * [pick]: Picked # 14.959 * * * [progress]: localizing error 14.970 * * * [progress]: generating rewritten candidates 14.970 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 14.996 * * * [progress]: generating series expansions 14.996 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 14.997 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 14.997 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 14.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 14.997 * [taylor]: Taking taylor expansion of 1/2 in x 14.997 * [backup-simplify]: Simplify 1/2 into 1/2 14.997 * [taylor]: Taking taylor expansion of (/ y x) in x 14.997 * [taylor]: Taking taylor expansion of y in x 14.997 * [backup-simplify]: Simplify y into y 14.997 * [taylor]: Taking taylor expansion of x in x 14.997 * [backup-simplify]: Simplify 0 into 0 14.997 * [backup-simplify]: Simplify 1 into 1 14.997 * [backup-simplify]: Simplify (/ y 1) into y 14.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 14.997 * [taylor]: Taking taylor expansion of 1/2 in y 14.997 * [backup-simplify]: Simplify 1/2 into 1/2 14.997 * [taylor]: Taking taylor expansion of (/ y x) in y 14.997 * [taylor]: Taking taylor expansion of y in y 14.997 * [backup-simplify]: Simplify 0 into 0 14.997 * [backup-simplify]: Simplify 1 into 1 14.997 * [taylor]: Taking taylor expansion of x in y 14.997 * [backup-simplify]: Simplify x into x 14.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 14.997 * [taylor]: Taking taylor expansion of 1/2 in y 14.997 * [backup-simplify]: Simplify 1/2 into 1/2 14.997 * [taylor]: Taking taylor expansion of (/ y x) in y 14.997 * [taylor]: Taking taylor expansion of y in y 14.997 * [backup-simplify]: Simplify 0 into 0 14.997 * [backup-simplify]: Simplify 1 into 1 14.997 * [taylor]: Taking taylor expansion of x in y 14.997 * [backup-simplify]: Simplify x into x 14.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 14.997 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 14.997 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 14.997 * [taylor]: Taking taylor expansion of 1/2 in x 14.997 * [backup-simplify]: Simplify 1/2 into 1/2 14.997 * [taylor]: Taking taylor expansion of x in x 14.997 * [backup-simplify]: Simplify 0 into 0 14.997 * [backup-simplify]: Simplify 1 into 1 14.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.998 * [backup-simplify]: Simplify 1/2 into 1/2 14.998 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 14.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 14.998 * [taylor]: Taking taylor expansion of 0 in x 14.998 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.999 * [backup-simplify]: Simplify 0 into 0 14.999 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 14.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 14.999 * [taylor]: Taking taylor expansion of 0 in x 14.999 * [backup-simplify]: Simplify 0 into 0 15.000 * [backup-simplify]: Simplify 0 into 0 15.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.000 * [backup-simplify]: Simplify 0 into 0 15.000 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 15.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 15.001 * [taylor]: Taking taylor expansion of 0 in x 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 0 into 0 15.001 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.002 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 15.002 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 15.002 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 15.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 15.002 * [taylor]: Taking taylor expansion of 1/2 in x 15.002 * [backup-simplify]: Simplify 1/2 into 1/2 15.002 * [taylor]: Taking taylor expansion of (/ x y) in x 15.002 * [taylor]: Taking taylor expansion of x in x 15.002 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify 1 into 1 15.002 * [taylor]: Taking taylor expansion of y in x 15.002 * [backup-simplify]: Simplify y into y 15.002 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 15.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 15.002 * [taylor]: Taking taylor expansion of 1/2 in y 15.002 * [backup-simplify]: Simplify 1/2 into 1/2 15.002 * [taylor]: Taking taylor expansion of (/ x y) in y 15.002 * [taylor]: Taking taylor expansion of x in y 15.002 * [backup-simplify]: Simplify x into x 15.002 * [taylor]: Taking taylor expansion of y in y 15.002 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify 1 into 1 15.002 * [backup-simplify]: Simplify (/ x 1) into x 15.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 15.002 * [taylor]: Taking taylor expansion of 1/2 in y 15.002 * [backup-simplify]: Simplify 1/2 into 1/2 15.002 * [taylor]: Taking taylor expansion of (/ x y) in y 15.002 * [taylor]: Taking taylor expansion of x in y 15.002 * [backup-simplify]: Simplify x into x 15.002 * [taylor]: Taking taylor expansion of y in y 15.002 * [backup-simplify]: Simplify 0 into 0 15.002 * [backup-simplify]: Simplify 1 into 1 15.002 * [backup-simplify]: Simplify (/ x 1) into x 15.003 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 15.003 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.003 * [taylor]: Taking taylor expansion of 1/2 in x 15.003 * [backup-simplify]: Simplify 1/2 into 1/2 15.003 * [taylor]: Taking taylor expansion of x in x 15.003 * [backup-simplify]: Simplify 0 into 0 15.003 * [backup-simplify]: Simplify 1 into 1 15.003 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.003 * [backup-simplify]: Simplify 1/2 into 1/2 15.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 15.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 15.004 * [taylor]: Taking taylor expansion of 0 in x 15.004 * [backup-simplify]: Simplify 0 into 0 15.004 * [backup-simplify]: Simplify 0 into 0 15.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.005 * [backup-simplify]: Simplify 0 into 0 15.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 15.006 * [taylor]: Taking taylor expansion of 0 in x 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 0 into 0 15.006 * [backup-simplify]: Simplify 0 into 0 15.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.007 * [backup-simplify]: Simplify 0 into 0 15.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 15.008 * [taylor]: Taking taylor expansion of 0 in x 15.008 * [backup-simplify]: Simplify 0 into 0 15.008 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 15.009 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 15.009 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 15.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 15.009 * [taylor]: Taking taylor expansion of 1/2 in x 15.009 * [backup-simplify]: Simplify 1/2 into 1/2 15.009 * [taylor]: Taking taylor expansion of (/ x y) in x 15.009 * [taylor]: Taking taylor expansion of x in x 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 1 into 1 15.009 * [taylor]: Taking taylor expansion of y in x 15.009 * [backup-simplify]: Simplify y into y 15.009 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 15.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 15.009 * [taylor]: Taking taylor expansion of 1/2 in y 15.009 * [backup-simplify]: Simplify 1/2 into 1/2 15.009 * [taylor]: Taking taylor expansion of (/ x y) in y 15.009 * [taylor]: Taking taylor expansion of x in y 15.009 * [backup-simplify]: Simplify x into x 15.009 * [taylor]: Taking taylor expansion of y in y 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 1 into 1 15.009 * [backup-simplify]: Simplify (/ x 1) into x 15.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 15.009 * [taylor]: Taking taylor expansion of 1/2 in y 15.009 * [backup-simplify]: Simplify 1/2 into 1/2 15.009 * [taylor]: Taking taylor expansion of (/ x y) in y 15.009 * [taylor]: Taking taylor expansion of x in y 15.009 * [backup-simplify]: Simplify x into x 15.009 * [taylor]: Taking taylor expansion of y in y 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 1 into 1 15.009 * [backup-simplify]: Simplify (/ x 1) into x 15.009 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 15.009 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 15.009 * [taylor]: Taking taylor expansion of 1/2 in x 15.009 * [backup-simplify]: Simplify 1/2 into 1/2 15.009 * [taylor]: Taking taylor expansion of x in x 15.009 * [backup-simplify]: Simplify 0 into 0 15.009 * [backup-simplify]: Simplify 1 into 1 15.010 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.010 * [backup-simplify]: Simplify 1/2 into 1/2 15.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 15.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 15.011 * [taylor]: Taking taylor expansion of 0 in x 15.011 * [backup-simplify]: Simplify 0 into 0 15.011 * [backup-simplify]: Simplify 0 into 0 15.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.012 * [backup-simplify]: Simplify 0 into 0 15.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 15.019 * [taylor]: Taking taylor expansion of 0 in x 15.019 * [backup-simplify]: Simplify 0 into 0 15.019 * [backup-simplify]: Simplify 0 into 0 15.019 * [backup-simplify]: Simplify 0 into 0 15.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.020 * [backup-simplify]: Simplify 0 into 0 15.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 15.023 * [taylor]: Taking taylor expansion of 0 in x 15.024 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify 0 into 0 15.024 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 15.024 * * * [progress]: simplifying candidates 15.025 * [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)) 15.026 * * [simplify]: Extracting # 0 : cost 0 15.026 * * [simplify]: Extracting # 1 : cost 0 15.026 * * [simplify]: Extracting # 2 : cost 0 15.027 * * [simplify]: Extracting # 3 : cost 0 15.027 * * [simplify]: Extracting # 4 : cost 0 15.027 * * [simplify]: Extracting # 5 : cost 0 15.027 * * [simplify]: Extracting # 6 : cost 0 15.027 * * [simplify]: Extracting # 7 : cost 0 15.027 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 15.051 * * [simplify]: Extracting # 0 : cost 0 15.051 * * [simplify]: Extracting # 1 : cost 0 15.052 * * [simplify]: Extracting # 2 : cost 0 15.052 * * [simplify]: iteration 1 : 162 enodes (cost 250 ) 15.093 * * [simplify]: Extracting # 0 : cost 0 15.093 * * [simplify]: Extracting # 1 : cost 0 15.094 * * [simplify]: Extracting # 2 : cost 0 15.094 * * [simplify]: Extracting # 3 : cost 0 15.094 * * [simplify]: Extracting # 4 : cost 0 15.095 * * [simplify]: iteration 2 : 426 enodes (cost 230 ) 15.368 * * [simplify]: Extracting # 0 : cost 0 15.371 * * [simplify]: Extracting # 1 : cost 0 15.373 * * [simplify]: Extracting # 2 : cost 0 15.375 * * [simplify]: Extracting # 3 : cost 0 15.377 * * [simplify]: Extracting # 4 : cost 0 15.379 * * [simplify]: iteration 3 : 1067 enodes (cost 229 ) 16.626 * * [simplify]: Extracting # 0 : cost 0 16.630 * * [simplify]: Extracting # 1 : cost 0 16.633 * * [simplify]: Extracting # 2 : cost 0 16.635 * * [simplify]: Extracting # 3 : cost 0 16.641 * * [simplify]: Extracting # 4 : cost 0 16.645 * * [simplify]: iteration 4 : 2498 enodes (cost 229 ) 21.170 * * [simplify]: Extracting # 0 : cost 0 21.183 * * [simplify]: Extracting # 1 : cost 0 21.187 * * [simplify]: Extracting # 2 : cost 0 21.191 * * [simplify]: Extracting # 3 : cost 0 21.195 * * [simplify]: Extracting # 4 : cost 0 21.203 * * [simplify]: iteration done: 5000 enodes (cost 229 ) 21.203 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (* (cbrt y) (cbrt y))) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 21.204 * * * [progress]: adding candidates to table 21.320 * [progress]: [Phase 3 of 3] Extracting. 21.321 * * [regime]: Finding splitpoints for: (# # # #) 21.321 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 21.321 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 21.358 * * * * [regimes]: Trying to branch on (* x x) from (# #) 21.381 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 21.402 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 21.413 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 21.438 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 21.464 * * * * [regimes]: Trying to branch on y from (# # # #) 21.515 * * * * [regimes]: Trying to branch on x from (# # # #) 21.569 * * * [regime]: Found split indices: #