23.860 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.018 * * [simplify]: iteration 0: 5 enodes 0.019 * * [simplify]: iteration 1: 6 enodes 0.020 * * [simplify]: iteration complete: 6 enodes 0.020 * * [simplify]: Extracting #0: cost 1 inf + 0 0.020 * * [simplify]: Extracting #1: cost 2 inf + 0 0.020 * * [simplify]: Extracting #2: cost 4 inf + 0 0.020 * * [simplify]: Extracting #3: cost 4 inf + 1 0.020 * * [simplify]: Extracting #4: cost 3 inf + 2 0.020 * * [simplify]: Extracting #5: cost 0 inf + 247 0.020 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 * [taylor]: Taking taylor expansion of y in y 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.049 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.049 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.049 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.050 * [backup-simplify]: Simplify (+ 0 1) into 1 0.050 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (+ 0 y) into y 0.050 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [backup-simplify]: Simplify y into y 0.050 * [backup-simplify]: Simplify (+ 0 y) into y 0.050 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.051 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 1 into 1 0.051 * [backup-simplify]: Simplify (sqrt 0) into 0 0.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.053 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.053 * [taylor]: Taking taylor expansion of 1/2 in y 0.053 * [backup-simplify]: Simplify 1/2 into 1/2 0.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.054 * [backup-simplify]: Simplify (sqrt 0) into 0 0.055 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.056 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.056 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.056 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.059 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.059 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [backup-simplify]: Simplify x into x 0.060 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.060 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (/ 1 1) into 1 0.061 * [backup-simplify]: Simplify (+ 0 1) into 1 0.061 * [backup-simplify]: Simplify (sqrt 0) into 0 0.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* 1 1) into 1 0.063 * [backup-simplify]: Simplify (/ 1 1) into 1 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [backup-simplify]: Simplify y into y 0.063 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.063 * [backup-simplify]: Simplify (+ 1 0) into 1 0.064 * [backup-simplify]: Simplify (sqrt 1) into 1 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* 1 1) into 1 0.066 * [backup-simplify]: Simplify (/ 1 1) into 1 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.067 * [backup-simplify]: Simplify (+ 1 0) into 1 0.067 * [backup-simplify]: Simplify (sqrt 1) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.072 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.072 * [taylor]: Taking taylor expansion of 1/2 in y 0.072 * [backup-simplify]: Simplify 1/2 into 1/2 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.073 * [backup-simplify]: Simplify 1/2 into 1/2 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.075 * [backup-simplify]: Simplify (+ 0 0) into 0 0.075 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.079 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of -1/8 in y 0.079 * [backup-simplify]: Simplify -1/8 into -1/8 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.080 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.082 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.082 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (- 1) into -1 0.083 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.083 * [backup-simplify]: Simplify (sqrt 0) into 0 0.085 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.085 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.085 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (sqrt 1) into 1 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.094 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.095 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.095 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.095 * [taylor]: Taking taylor expansion of -1/2 in y 0.095 * [backup-simplify]: Simplify -1/2 into -1/2 0.095 * [taylor]: Taking taylor expansion of y in y 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.095 * [backup-simplify]: Simplify -1/2 into -1/2 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.097 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.101 * [backup-simplify]: Simplify (- 0) into 0 0.101 * [backup-simplify]: Simplify (+ 0 0) into 0 0.102 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.103 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of -1/8 in y 0.103 * [backup-simplify]: Simplify -1/8 into -1/8 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.105 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.106 * * [simplify]: iteration 0: 51 enodes 0.122 * * [simplify]: iteration 1: 114 enodes 0.166 * * [simplify]: iteration 2: 276 enodes 0.276 * * [simplify]: iteration 3: 739 enodes 0.659 * * [simplify]: iteration 4: 2254 enodes 1.922 * * [simplify]: iteration complete: 5001 enodes 1.922 * * [simplify]: Extracting #0: cost 18 inf + 0 1.923 * * [simplify]: Extracting #1: cost 133 inf + 2 1.925 * * [simplify]: Extracting #2: cost 607 inf + 171 1.936 * * [simplify]: Extracting #3: cost 1156 inf + 20312 1.967 * * [simplify]: Extracting #4: cost 466 inf + 106451 2.008 * * [simplify]: Extracting #5: cost 73 inf + 155669 2.039 * * [simplify]: Extracting #6: cost 85 inf + 162058 2.077 * * [simplify]: Extracting #7: cost 99 inf + 167393 2.112 * * [simplify]: Extracting #8: cost 19 inf + 178821 2.145 * * [simplify]: Extracting #9: cost 0 inf + 183988 2.177 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (+ (* x x) y)) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (* (* y y) y) (* (* x (* x x)) (* x (* x x))))) (sqrt (+ (* (* x x) (- (* x x) y)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (- (- (* x x) y) (* y y))) (+ x (/ 1/2 (/ x y))) (- (/ -1/2 (/ x y)) x) 2.178 * * * [progress]: adding candidates to table 2.246 * * [progress]: iteration 2 / 4 2.246 * * * [progress]: picking best candidate 2.256 * * * * [pick]: Picked # 2.256 * * * [progress]: localizing error 2.282 * * * [progress]: generating rewritten candidates 2.282 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.295 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.304 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.398 * * * [progress]: generating series expansions 2.398 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.399 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 2.399 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 2.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 2.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.399 * [taylor]: Taking taylor expansion of x in y 2.399 * [backup-simplify]: Simplify x into x 2.399 * [taylor]: Taking taylor expansion of y in y 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify 1 into 1 2.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.399 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.399 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.399 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.400 * [backup-simplify]: Simplify (+ 0 1) into 1 2.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 2.400 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [taylor]: Taking taylor expansion of y in x 2.400 * [backup-simplify]: Simplify y into y 2.400 * [backup-simplify]: Simplify (+ 0 y) into y 2.401 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 2.401 * [backup-simplify]: Simplify (+ 0 0) into 0 2.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 2.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.401 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.401 * [taylor]: Taking taylor expansion of x in x 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.401 * [taylor]: Taking taylor expansion of y in x 2.401 * [backup-simplify]: Simplify y into y 2.401 * [backup-simplify]: Simplify (+ 0 y) into y 2.401 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 2.402 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.402 * [taylor]: Taking taylor expansion of y in y 2.402 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (sqrt 0) into 0 2.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [taylor]: Taking taylor expansion of 0 in y 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.404 * [backup-simplify]: Simplify (* 1 1) into 1 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.405 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 2.405 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 2.405 * [taylor]: Taking taylor expansion of 1/2 in y 2.405 * [backup-simplify]: Simplify 1/2 into 1/2 2.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.405 * [taylor]: Taking taylor expansion of y in y 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.406 * [backup-simplify]: Simplify (/ 1 1) into 1 2.406 * [backup-simplify]: Simplify (sqrt 0) into 0 2.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.408 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 2.409 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.409 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.412 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.412 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 2.412 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 2.413 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.413 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.413 * [taylor]: Taking taylor expansion of x in y 2.413 * [backup-simplify]: Simplify x into x 2.413 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.413 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.413 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.413 * [taylor]: Taking taylor expansion of y in y 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify (/ 1 1) into 1 2.414 * [backup-simplify]: Simplify (+ 0 1) into 1 2.414 * [backup-simplify]: Simplify (sqrt 0) into 0 2.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.415 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.415 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify 1 into 1 2.416 * [backup-simplify]: Simplify (* 1 1) into 1 2.416 * [backup-simplify]: Simplify (/ 1 1) into 1 2.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.416 * [taylor]: Taking taylor expansion of y in x 2.416 * [backup-simplify]: Simplify y into y 2.416 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.417 * [backup-simplify]: Simplify (+ 1 0) into 1 2.417 * [backup-simplify]: Simplify (sqrt 1) into 1 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (* 1 1) into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.420 * [taylor]: Taking taylor expansion of y in x 2.420 * [backup-simplify]: Simplify y into y 2.420 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.421 * [backup-simplify]: Simplify (+ 1 0) into 1 2.421 * [backup-simplify]: Simplify (sqrt 1) into 1 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ 0 0) into 0 2.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.424 * [taylor]: Taking taylor expansion of 1 in y 2.424 * [backup-simplify]: Simplify 1 into 1 2.424 * [taylor]: Taking taylor expansion of 0 in y 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.427 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 2.427 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.427 * [taylor]: Taking taylor expansion of 1/2 in y 2.427 * [backup-simplify]: Simplify 1/2 into 1/2 2.427 * [taylor]: Taking taylor expansion of y in y 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 1 into 1 2.427 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.427 * [backup-simplify]: Simplify 1/2 into 1/2 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 2.430 * [taylor]: Taking taylor expansion of 0 in y 2.430 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 2.435 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.435 * [taylor]: Taking taylor expansion of -1/8 in y 2.435 * [backup-simplify]: Simplify -1/8 into -1/8 2.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.435 * [taylor]: Taking taylor expansion of y in y 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (* 1 1) into 1 2.436 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 2.438 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 2.438 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.438 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.438 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.438 * [taylor]: Taking taylor expansion of x in y 2.438 * [backup-simplify]: Simplify x into x 2.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.438 * [taylor]: Taking taylor expansion of y in y 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.439 * [backup-simplify]: Simplify (- 1) into -1 2.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.439 * [backup-simplify]: Simplify (sqrt 0) into 0 2.441 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.441 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.441 * [taylor]: Taking taylor expansion of x in x 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (* 1 1) into 1 2.442 * [backup-simplify]: Simplify (/ 1 1) into 1 2.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.442 * [taylor]: Taking taylor expansion of y in x 2.442 * [backup-simplify]: Simplify y into y 2.442 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.442 * [backup-simplify]: Simplify (+ 1 0) into 1 2.442 * [backup-simplify]: Simplify (sqrt 1) into 1 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.445 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.445 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.446 * [taylor]: Taking taylor expansion of y in x 2.446 * [backup-simplify]: Simplify y into y 2.446 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.446 * [backup-simplify]: Simplify (+ 1 0) into 1 2.446 * [backup-simplify]: Simplify (sqrt 1) into 1 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.449 * [taylor]: Taking taylor expansion of 1 in y 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of 0 in y 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.451 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.452 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 2.452 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.452 * [taylor]: Taking taylor expansion of -1/2 in y 2.452 * [backup-simplify]: Simplify -1/2 into -1/2 2.452 * [taylor]: Taking taylor expansion of y in y 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.452 * [backup-simplify]: Simplify -1/2 into -1/2 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.454 * [backup-simplify]: Simplify (- 0) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 2.455 * [taylor]: Taking taylor expansion of 0 in y 2.455 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.456 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.458 * [backup-simplify]: Simplify (- 0) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 2.462 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.462 * [taylor]: Taking taylor expansion of -1/8 in y 2.462 * [backup-simplify]: Simplify -1/8 into -1/8 2.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.462 * [taylor]: Taking taylor expansion of y in y 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 2.464 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.464 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 2.464 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 2.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 2.464 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.464 * [taylor]: Taking taylor expansion of x in y 2.464 * [backup-simplify]: Simplify x into x 2.464 * [taylor]: Taking taylor expansion of y in y 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.464 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.464 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.464 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.464 * [backup-simplify]: Simplify (+ 0 1) into 1 2.465 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 2.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [taylor]: Taking taylor expansion of y in x 2.465 * [backup-simplify]: Simplify y into y 2.465 * [backup-simplify]: Simplify (+ 0 y) into y 2.465 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 2.465 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.465 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [taylor]: Taking taylor expansion of y in x 2.465 * [backup-simplify]: Simplify y into y 2.465 * [backup-simplify]: Simplify (+ 0 y) into y 2.465 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 2.466 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.466 * [taylor]: Taking taylor expansion of y in y 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (sqrt 0) into 0 2.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [taylor]: Taking taylor expansion of 0 in y 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (+ 1 0) into 1 2.468 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 2.468 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 2.468 * [taylor]: Taking taylor expansion of 1/2 in y 2.468 * [backup-simplify]: Simplify 1/2 into 1/2 2.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.468 * [taylor]: Taking taylor expansion of y in y 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (/ 1 1) into 1 2.468 * [backup-simplify]: Simplify (sqrt 0) into 0 2.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.470 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 2.470 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.470 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.473 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 2.473 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 2.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.473 * [taylor]: Taking taylor expansion of x in y 2.473 * [backup-simplify]: Simplify x into x 2.473 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.473 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.473 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.473 * [taylor]: Taking taylor expansion of y in y 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (/ 1 1) into 1 2.474 * [backup-simplify]: Simplify (+ 0 1) into 1 2.474 * [backup-simplify]: Simplify (sqrt 0) into 0 2.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (* 1 1) into 1 2.475 * [backup-simplify]: Simplify (/ 1 1) into 1 2.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.475 * [taylor]: Taking taylor expansion of y in x 2.475 * [backup-simplify]: Simplify y into y 2.476 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.476 * [backup-simplify]: Simplify (+ 1 0) into 1 2.476 * [backup-simplify]: Simplify (sqrt 1) into 1 2.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (+ 0 0) into 0 2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 1 into 1 2.478 * [backup-simplify]: Simplify (* 1 1) into 1 2.478 * [backup-simplify]: Simplify (/ 1 1) into 1 2.478 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.478 * [taylor]: Taking taylor expansion of y in x 2.478 * [backup-simplify]: Simplify y into y 2.478 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.478 * [backup-simplify]: Simplify (+ 1 0) into 1 2.479 * [backup-simplify]: Simplify (sqrt 1) into 1 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.480 * [taylor]: Taking taylor expansion of 1 in y 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [taylor]: Taking taylor expansion of 0 in y 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.482 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 2.482 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.482 * [taylor]: Taking taylor expansion of 1/2 in y 2.482 * [backup-simplify]: Simplify 1/2 into 1/2 2.482 * [taylor]: Taking taylor expansion of y in y 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.482 * [backup-simplify]: Simplify 1/2 into 1/2 2.482 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 2.484 * [taylor]: Taking taylor expansion of 0 in y 2.484 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.485 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.486 * [backup-simplify]: Simplify (+ 0 0) into 0 2.487 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 2.487 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.487 * [taylor]: Taking taylor expansion of -1/8 in y 2.487 * [backup-simplify]: Simplify -1/8 into -1/8 2.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.487 * [taylor]: Taking taylor expansion of y in y 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (* 1 1) into 1 2.488 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 2.489 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 2.489 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.489 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.489 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.489 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.489 * [taylor]: Taking taylor expansion of x in y 2.489 * [backup-simplify]: Simplify x into x 2.489 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.489 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.489 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.489 * [taylor]: Taking taylor expansion of y in y 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.490 * [backup-simplify]: Simplify (/ 1 1) into 1 2.490 * [backup-simplify]: Simplify (- 1) into -1 2.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.490 * [backup-simplify]: Simplify (sqrt 0) into 0 2.491 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.491 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (* 1 1) into 1 2.492 * [backup-simplify]: Simplify (/ 1 1) into 1 2.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.492 * [taylor]: Taking taylor expansion of y in x 2.492 * [backup-simplify]: Simplify y into y 2.492 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.492 * [backup-simplify]: Simplify (+ 1 0) into 1 2.492 * [backup-simplify]: Simplify (sqrt 1) into 1 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.494 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.494 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.494 * [taylor]: Taking taylor expansion of x in x 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.494 * [backup-simplify]: Simplify (/ 1 1) into 1 2.494 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.494 * [taylor]: Taking taylor expansion of y in x 2.494 * [backup-simplify]: Simplify y into y 2.494 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.495 * [backup-simplify]: Simplify (+ 1 0) into 1 2.495 * [backup-simplify]: Simplify (sqrt 1) into 1 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.496 * [taylor]: Taking taylor expansion of 1 in y 2.496 * [backup-simplify]: Simplify 1 into 1 2.496 * [taylor]: Taking taylor expansion of 0 in y 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.498 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.499 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 2.499 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.499 * [taylor]: Taking taylor expansion of -1/2 in y 2.499 * [backup-simplify]: Simplify -1/2 into -1/2 2.499 * [taylor]: Taking taylor expansion of y in y 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.499 * [backup-simplify]: Simplify -1/2 into -1/2 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.501 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 2.501 * [taylor]: Taking taylor expansion of 0 in y 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.504 * [backup-simplify]: Simplify (- 0) into 0 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 2.505 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.505 * [taylor]: Taking taylor expansion of -1/8 in y 2.505 * [backup-simplify]: Simplify -1/8 into -1/8 2.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.505 * [taylor]: Taking taylor expansion of y in y 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.505 * [backup-simplify]: Simplify (* 1 1) into 1 2.506 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 2.507 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.507 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) into (sqrt (+ (pow x 2) y)) 2.507 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 2.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 2.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.507 * [taylor]: Taking taylor expansion of x in y 2.507 * [backup-simplify]: Simplify x into x 2.507 * [taylor]: Taking taylor expansion of y in y 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.507 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.507 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.507 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.508 * [backup-simplify]: Simplify (+ 0 1) into 1 2.508 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 2.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of y in x 2.508 * [backup-simplify]: Simplify y into y 2.508 * [backup-simplify]: Simplify (+ 0 y) into y 2.508 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 2.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 2.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of y in x 2.508 * [backup-simplify]: Simplify y into y 2.508 * [backup-simplify]: Simplify (+ 0 y) into y 2.508 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 2.509 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 2.509 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.509 * [taylor]: Taking taylor expansion of y in y 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (sqrt 0) into 0 2.510 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [taylor]: Taking taylor expansion of 0 in y 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.510 * [backup-simplify]: Simplify (* 1 1) into 1 2.511 * [backup-simplify]: Simplify (+ 1 0) into 1 2.511 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 2.511 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 2.511 * [taylor]: Taking taylor expansion of 1/2 in y 2.511 * [backup-simplify]: Simplify 1/2 into 1/2 2.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.511 * [taylor]: Taking taylor expansion of y in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ 1 1) into 1 2.512 * [backup-simplify]: Simplify (sqrt 0) into 0 2.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.513 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 2.513 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.516 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 2.516 * [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))) 2.516 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.516 * [taylor]: Taking taylor expansion of x in y 2.517 * [backup-simplify]: Simplify x into x 2.517 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.517 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.517 * [taylor]: Taking taylor expansion of y in y 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 1 into 1 2.517 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [backup-simplify]: Simplify (+ 0 1) into 1 2.518 * [backup-simplify]: Simplify (sqrt 0) into 0 2.519 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (* 1 1) into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.520 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.520 * [taylor]: Taking taylor expansion of y in x 2.520 * [backup-simplify]: Simplify y into y 2.520 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.520 * [backup-simplify]: Simplify (+ 1 0) into 1 2.521 * [backup-simplify]: Simplify (sqrt 1) into 1 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.523 * [taylor]: Taking taylor expansion of x in x 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.524 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (/ 1 1) into 1 2.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.524 * [taylor]: Taking taylor expansion of y in x 2.524 * [backup-simplify]: Simplify y into y 2.524 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.525 * [backup-simplify]: Simplify (+ 1 0) into 1 2.525 * [backup-simplify]: Simplify (sqrt 1) into 1 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.527 * [taylor]: Taking taylor expansion of 1 in y 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [taylor]: Taking taylor expansion of 0 in y 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.530 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 2.530 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.530 * [taylor]: Taking taylor expansion of 1/2 in y 2.530 * [backup-simplify]: Simplify 1/2 into 1/2 2.530 * [taylor]: Taking taylor expansion of y in y 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.531 * [backup-simplify]: Simplify 1/2 into 1/2 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.533 * [backup-simplify]: Simplify (+ 0 0) into 0 2.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 2.533 * [taylor]: Taking taylor expansion of 0 in y 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.536 * [backup-simplify]: Simplify (+ 0 0) into 0 2.538 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 2.538 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.538 * [taylor]: Taking taylor expansion of -1/8 in y 2.538 * [backup-simplify]: Simplify -1/8 into -1/8 2.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.538 * [taylor]: Taking taylor expansion of y in y 2.538 * [backup-simplify]: Simplify 0 into 0 2.538 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (* 1 1) into 1 2.538 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 2.541 * [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))) 2.541 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 2.541 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.541 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.541 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.541 * [taylor]: Taking taylor expansion of x in y 2.541 * [backup-simplify]: Simplify x into x 2.541 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.541 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.541 * [taylor]: Taking taylor expansion of y in y 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify (/ 1 1) into 1 2.542 * [backup-simplify]: Simplify (- 1) into -1 2.542 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.542 * [backup-simplify]: Simplify (sqrt 0) into 0 2.544 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.544 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.544 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* 1 1) into 1 2.545 * [backup-simplify]: Simplify (/ 1 1) into 1 2.545 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.545 * [taylor]: Taking taylor expansion of y in x 2.545 * [backup-simplify]: Simplify y into y 2.545 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.545 * [backup-simplify]: Simplify (+ 1 0) into 1 2.545 * [backup-simplify]: Simplify (sqrt 1) into 1 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.547 * [backup-simplify]: Simplify (+ 0 0) into 0 2.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.548 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.548 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.548 * [taylor]: Taking taylor expansion of x in x 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (/ 1 1) into 1 2.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.549 * [taylor]: Taking taylor expansion of y in x 2.549 * [backup-simplify]: Simplify y into y 2.549 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.549 * [backup-simplify]: Simplify (+ 1 0) into 1 2.549 * [backup-simplify]: Simplify (sqrt 1) into 1 2.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ 0 0) into 0 2.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.552 * [taylor]: Taking taylor expansion of 1 in y 2.552 * [backup-simplify]: Simplify 1 into 1 2.552 * [taylor]: Taking taylor expansion of 0 in y 2.552 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify 1 into 1 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.554 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.555 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 2.555 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.555 * [taylor]: Taking taylor expansion of -1/2 in y 2.555 * [backup-simplify]: Simplify -1/2 into -1/2 2.555 * [taylor]: Taking taylor expansion of y in y 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 1 into 1 2.555 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.555 * [backup-simplify]: Simplify -1/2 into -1/2 2.555 * [backup-simplify]: Simplify 0 into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.557 * [backup-simplify]: Simplify (- 0) into 0 2.558 * [backup-simplify]: Simplify (+ 0 0) into 0 2.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 2.558 * [taylor]: Taking taylor expansion of 0 in y 2.558 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.562 * [backup-simplify]: Simplify (- 0) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.563 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 2.563 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.563 * [taylor]: Taking taylor expansion of -1/8 in y 2.563 * [backup-simplify]: Simplify -1/8 into -1/8 2.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.563 * [taylor]: Taking taylor expansion of y in y 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 1 into 1 2.564 * [backup-simplify]: Simplify (* 1 1) into 1 2.564 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 2.567 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.568 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* x x) y))) into (pow (+ (pow x 2) y) 1/4) 2.568 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 2.568 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 2.568 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 2.568 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 2.568 * [taylor]: Taking taylor expansion of 1/4 in y 2.568 * [backup-simplify]: Simplify 1/4 into 1/4 2.568 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 2.568 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 2.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.568 * [taylor]: Taking taylor expansion of x in y 2.568 * [backup-simplify]: Simplify x into x 2.568 * [taylor]: Taking taylor expansion of y in y 2.568 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify 1 into 1 2.568 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.568 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.568 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2)) 2.569 * [backup-simplify]: Simplify (* 1/4 (log (pow x 2))) into (* 1/4 (log (pow x 2))) 2.569 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow x 2)))) into (pow (pow x 2) 1/4) 2.569 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 2.569 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 2.569 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 2.569 * [taylor]: Taking taylor expansion of 1/4 in x 2.569 * [backup-simplify]: Simplify 1/4 into 1/4 2.569 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.569 * [taylor]: Taking taylor expansion of x in x 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 1 into 1 2.569 * [taylor]: Taking taylor expansion of y in x 2.569 * [backup-simplify]: Simplify y into y 2.569 * [backup-simplify]: Simplify (+ 0 y) into y 2.569 * [backup-simplify]: Simplify (log y) into (log y) 2.569 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 2.569 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 2.569 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 2.569 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 2.569 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 2.569 * [taylor]: Taking taylor expansion of 1/4 in x 2.569 * [backup-simplify]: Simplify 1/4 into 1/4 2.569 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 2.569 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 2.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.569 * [taylor]: Taking taylor expansion of x in x 2.569 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.570 * [taylor]: Taking taylor expansion of y in x 2.570 * [backup-simplify]: Simplify y into y 2.570 * [backup-simplify]: Simplify (+ 0 y) into y 2.570 * [backup-simplify]: Simplify (log y) into (log y) 2.570 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 2.570 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 2.570 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 2.570 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 2.570 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 2.570 * [taylor]: Taking taylor expansion of 1/4 in y 2.570 * [backup-simplify]: Simplify 1/4 into 1/4 2.570 * [taylor]: Taking taylor expansion of (log y) in y 2.570 * [taylor]: Taking taylor expansion of y in y 2.570 * [backup-simplify]: Simplify 0 into 0 2.570 * [backup-simplify]: Simplify 1 into 1 2.571 * [backup-simplify]: Simplify (log 1) into 0 2.571 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 2.571 * [backup-simplify]: Simplify (* 1/4 (log y)) into (* 1/4 (log y)) 2.571 * [backup-simplify]: Simplify (exp (* 1/4 (log y))) into (pow y 1/4) 2.571 * [backup-simplify]: Simplify (pow y 1/4) into (pow y 1/4) 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow y 1)))) 1) into 0 2.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 2.574 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.574 * [taylor]: Taking taylor expansion of 0 in y 2.574 * [backup-simplify]: Simplify 0 into 0 2.574 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.576 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 2.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log y))) into 0 2.577 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.577 * [backup-simplify]: Simplify 0 into 0 2.578 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (+ 1 0) into 1 2.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow y 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow y 1)))) 2) into (/ 1 y) 2.580 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (log y)))) into (* 1/4 (/ 1 y)) 2.581 * [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)) 2.581 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 2.581 * [taylor]: Taking taylor expansion of 1/4 in y 2.581 * [backup-simplify]: Simplify 1/4 into 1/4 2.581 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 2.581 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 2.581 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 2.581 * [taylor]: Taking taylor expansion of 1/4 in y 2.581 * [backup-simplify]: Simplify 1/4 into 1/4 2.581 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.581 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.581 * [taylor]: Taking taylor expansion of y in y 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (* 1 1) into 1 2.582 * [backup-simplify]: Simplify (/ 1 1) into 1 2.582 * [backup-simplify]: Simplify (log 1) into 0 2.583 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 2.583 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log y)))) into (* -3/4 (log y)) 2.583 * [backup-simplify]: Simplify (exp (* -3/4 (log y))) into (pow y -3/4) 2.583 * [backup-simplify]: Simplify (* 1/4 (pow y -3/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 2.583 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) into (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) 2.583 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.586 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 2.587 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log y)))) into 0 2.588 * [backup-simplify]: Simplify (* (exp (* 1/4 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.589 * [backup-simplify]: Simplify (+ 0 0) into 0 2.592 * [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 2.593 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (log y))))) into 0 2.594 * [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 2.594 * [taylor]: Taking taylor expansion of 0 in y 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.598 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.598 * [backup-simplify]: Simplify (+ (* (- 3) (log y)) 0) into (- (* 3 (log y))) 2.598 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log y))))) into 0 2.599 * [backup-simplify]: Simplify (* (exp (* -3/4 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (pow y -3/4))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.604 * [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 2.605 * [backup-simplify]: Simplify (+ (* (- -1) (log y)) 0) into (log y) 2.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log y))))) into 0 2.607 * [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 2.607 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (+ (* (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) (pow (* 1 x) 2)) (pow y 1/4)) into (+ (pow y 1/4) (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4)))) 2.608 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) 2.608 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 2.608 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 2.608 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 2.608 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 2.608 * [taylor]: Taking taylor expansion of 1/4 in y 2.608 * [backup-simplify]: Simplify 1/4 into 1/4 2.608 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 2.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.608 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.608 * [taylor]: Taking taylor expansion of x in y 2.608 * [backup-simplify]: Simplify x into x 2.608 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.608 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.608 * [taylor]: Taking taylor expansion of y in y 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ 1 1) into 1 2.609 * [backup-simplify]: Simplify (+ 0 1) into 1 2.609 * [backup-simplify]: Simplify (log 1) into 0 2.610 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) 0) into (- (log y)) 2.610 * [backup-simplify]: Simplify (* 1/4 (- (log y))) into (* -1/4 (log y)) 2.610 * [backup-simplify]: Simplify (exp (* -1/4 (log y))) into (pow y -1/4) 2.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 2.610 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.610 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.610 * [taylor]: Taking taylor expansion of 1/4 in x 2.610 * [backup-simplify]: Simplify 1/4 into 1/4 2.610 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.610 * [taylor]: Taking taylor expansion of x in x 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (* 1 1) into 1 2.611 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.611 * [taylor]: Taking taylor expansion of y in x 2.611 * [backup-simplify]: Simplify y into y 2.611 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.612 * [backup-simplify]: Simplify (+ 1 0) into 1 2.612 * [backup-simplify]: Simplify (log 1) into 0 2.612 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.612 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.612 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.613 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 2.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 2.613 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 2.613 * [taylor]: Taking taylor expansion of 1/4 in x 2.613 * [backup-simplify]: Simplify 1/4 into 1/4 2.613 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 2.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.613 * [taylor]: Taking taylor expansion of x in x 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (* 1 1) into 1 2.613 * [backup-simplify]: Simplify (/ 1 1) into 1 2.613 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.613 * [taylor]: Taking taylor expansion of y in x 2.614 * [backup-simplify]: Simplify y into y 2.614 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.614 * [backup-simplify]: Simplify (+ 1 0) into 1 2.614 * [backup-simplify]: Simplify (log 1) into 0 2.615 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.615 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.615 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.615 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 2.615 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 2.615 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 2.615 * [taylor]: Taking taylor expansion of -1/2 in y 2.615 * [backup-simplify]: Simplify -1/2 into -1/2 2.615 * [taylor]: Taking taylor expansion of (log x) in y 2.615 * [taylor]: Taking taylor expansion of x in y 2.615 * [backup-simplify]: Simplify x into x 2.615 * [backup-simplify]: Simplify (log x) into (log x) 2.615 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 2.615 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.615 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.618 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 2.620 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.620 * [taylor]: Taking taylor expansion of 0 in y 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.621 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 2.622 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.622 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.625 * [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) 2.625 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.626 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/4 (/ 1 y)) 2.627 * [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))) 2.627 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 2.627 * [taylor]: Taking taylor expansion of 1/4 in y 2.627 * [backup-simplify]: Simplify 1/4 into 1/4 2.627 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 2.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.627 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.627 * [taylor]: Taking taylor expansion of x in y 2.627 * [backup-simplify]: Simplify x into x 2.627 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.627 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 2.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 2.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.627 * [taylor]: Taking taylor expansion of y in y 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 2.629 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 2.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.632 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.633 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.633 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.638 * [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 2.639 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.641 * [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 2.641 * [taylor]: Taking taylor expansion of 0 in y 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2) 2.642 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) 2.642 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 2.642 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 2.642 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 2.642 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 2.642 * [taylor]: Taking taylor expansion of 1/4 in y 2.642 * [backup-simplify]: Simplify 1/4 into 1/4 2.642 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 2.642 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.642 * [taylor]: Taking taylor expansion of x in y 2.642 * [backup-simplify]: Simplify x into x 2.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.642 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.642 * [taylor]: Taking taylor expansion of y in y 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.643 * [backup-simplify]: Simplify (- 1) into -1 2.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.644 * [backup-simplify]: Simplify (log -1) into (log -1) 2.645 * [backup-simplify]: Simplify (+ (* (- 1) (log y)) (log -1)) into (- (log -1) (log y)) 2.645 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log y))) into (* 1/4 (- (log -1) (log y))) 2.645 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log y)))) into (exp (* 1/4 (- (log -1) (log y)))) 2.645 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 2.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.646 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.646 * [taylor]: Taking taylor expansion of 1/4 in x 2.646 * [backup-simplify]: Simplify 1/4 into 1/4 2.646 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.646 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.646 * [taylor]: Taking taylor expansion of x in x 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [backup-simplify]: Simplify (* 1 1) into 1 2.646 * [backup-simplify]: Simplify (/ 1 1) into 1 2.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.646 * [taylor]: Taking taylor expansion of y in x 2.646 * [backup-simplify]: Simplify y into y 2.647 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.647 * [backup-simplify]: Simplify (+ 1 0) into 1 2.647 * [backup-simplify]: Simplify (log 1) into 0 2.648 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.648 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.648 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.648 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 2.648 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 2.648 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 2.648 * [taylor]: Taking taylor expansion of 1/4 in x 2.648 * [backup-simplify]: Simplify 1/4 into 1/4 2.648 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 2.648 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.648 * [taylor]: Taking taylor expansion of x in x 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (* 1 1) into 1 2.649 * [backup-simplify]: Simplify (/ 1 1) into 1 2.649 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.649 * [taylor]: Taking taylor expansion of y in x 2.649 * [backup-simplify]: Simplify y into y 2.649 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.649 * [backup-simplify]: Simplify (+ 1 0) into 1 2.650 * [backup-simplify]: Simplify (log 1) into 0 2.650 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.650 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x)) 2.650 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.650 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 2.650 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 2.650 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 2.650 * [taylor]: Taking taylor expansion of -1/2 in y 2.650 * [backup-simplify]: Simplify -1/2 into -1/2 2.651 * [taylor]: Taking taylor expansion of (log x) in y 2.651 * [taylor]: Taking taylor expansion of x in y 2.651 * [backup-simplify]: Simplify x into x 2.651 * [backup-simplify]: Simplify (log x) into (log x) 2.651 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x)) 2.651 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2) 2.651 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2) 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.652 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.654 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.655 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0 2.655 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.655 * [taylor]: Taking taylor expansion of 0 in y 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 2.657 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0 2.657 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.659 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.661 * [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) 2.661 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.662 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (- (* 1/4 (/ 1 y))) 2.663 * [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))) 2.663 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 2.663 * [taylor]: Taking taylor expansion of -1/4 in y 2.663 * [backup-simplify]: Simplify -1/4 into -1/4 2.663 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 2.663 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.663 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.663 * [taylor]: Taking taylor expansion of x in y 2.663 * [backup-simplify]: Simplify x into x 2.663 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.663 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x)) 2.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0 2.663 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.663 * [taylor]: Taking taylor expansion of y in y 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0 2.665 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x)) 2.665 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (sqrt (/ 1 x)))) into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 2.668 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0 2.669 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.671 * [backup-simplify]: Simplify (- 0) into 0 2.671 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [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 2.675 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x))) 2.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 y)) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0 2.677 * [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 2.677 * [taylor]: Taking taylor expansion of 0 in y 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2) 2.677 * * * [progress]: simplifying candidates 2.679 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (sqrt 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(* x x) y)))) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt 1) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow y 1/4) (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4)))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 2.681 * * [simplify]: iteration 0: 138 enodes 2.731 * * [simplify]: iteration 1: 292 enodes 2.843 * * [simplify]: iteration 2: 617 enodes 3.084 * * [simplify]: iteration 3: 1508 enodes 4.071 * * [simplify]: iteration 4: 4869 enodes 5.082 * * [simplify]: iteration complete: 5009 enodes 5.082 * * [simplify]: Extracting #0: cost 50 inf + 0 5.084 * * [simplify]: Extracting #1: cost 373 inf + 4 5.088 * * [simplify]: Extracting #2: cost 873 inf + 638 5.100 * * [simplify]: Extracting #3: cost 992 inf + 23859 5.126 * * [simplify]: Extracting #4: cost 637 inf + 90073 5.194 * * [simplify]: Extracting #5: cost 205 inf + 228092 5.276 * * [simplify]: Extracting #6: cost 10 inf + 294268 5.348 * * [simplify]: Extracting #7: cost 0 inf + 298602 5.411 * [simplify]: Simplified to: (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) (+ y (* x x))) (fabs (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (* (* y y) y) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (- (* x x) y) (* x x)) (* y y))) (sqrt (* (- (* x x) y) (+ y (* x x)))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) (+ y (* x x))) (fabs (cbrt (+ y (* x x)))) (sqrt (cbrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) 1 (sqrt (+ y (* x x))) (sqrt (+ (* (* y y) y) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (- (* x x) y) (* x x)) (* y y))) (sqrt (* (- (* x x) y) (+ y (* x x)))) (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))) (* (+ y (* x x)) (+ y (* x x))) (+ y (* x x)) (* (+ y (* x x)) (+ y (* x x))) 2 (log (sqrt (+ y (* x x)))) (log (sqrt (+ y (* x x)))) (exp (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) (+ y (* x x))) (* (cbrt (sqrt (+ y (* x x)))) (cbrt (sqrt (+ y (* x x))))) (cbrt (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) (+ y (* x x))) (+ y (* x x)) (sqrt (sqrt (+ y (* x x)))) (sqrt (sqrt (+ y (* x x)))) (sqrt (+ (* (* y y) y) (* (* x x) (* (* x x) (* x x))))) (sqrt (+ (* (- (* x x) y) (* x x)) (* y y))) (* (sqrt (sqrt (+ (* (* y y) y) (* (* x x) (* (* x x) (* x x)))))) (sqrt (sqrt (* (- (* x x) y) (+ y (* x x)))))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (+ (* (- (* x x) y) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* y y) y) (* (* x x) (* (* x x) (* x x)))))) (sqrt (sqrt (* (- (* x x) y) (+ y (* x 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(* x x) 1/4) (pow (/ 1 (* (* y y) y)) 1/4)) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 5.420 * * * [progress]: adding candidates to table 5.928 * * [progress]: iteration 3 / 4 5.928 * * * [progress]: picking best candidate 5.933 * * * * [pick]: Picked # 5.933 * * * [progress]: localizing error 5.941 * * * [progress]: generating rewritten candidates 5.941 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 5.963 * * * [progress]: generating series expansions 5.963 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 5.963 * [backup-simplify]: Simplify (* 1/2 (/ y x)) into (* 1/2 (/ y x)) 5.963 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 5.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 5.963 * [taylor]: Taking taylor expansion of 1/2 in x 5.963 * [backup-simplify]: Simplify 1/2 into 1/2 5.963 * [taylor]: Taking taylor expansion of (/ y x) in x 5.963 * [taylor]: Taking taylor expansion of y in x 5.963 * [backup-simplify]: Simplify y into y 5.963 * [taylor]: Taking taylor expansion of x in x 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (/ y 1) into y 5.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.963 * [taylor]: Taking taylor expansion of 1/2 in y 5.963 * [backup-simplify]: Simplify 1/2 into 1/2 5.963 * [taylor]: Taking taylor expansion of (/ y x) in y 5.964 * [taylor]: Taking taylor expansion of y in y 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [taylor]: Taking taylor expansion of x in y 5.964 * [backup-simplify]: Simplify x into x 5.964 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 5.964 * [taylor]: Taking taylor expansion of 1/2 in y 5.964 * [backup-simplify]: Simplify 1/2 into 1/2 5.964 * [taylor]: Taking taylor expansion of (/ y x) in y 5.964 * [taylor]: Taking taylor expansion of y in y 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.964 * [taylor]: Taking taylor expansion of x in y 5.964 * [backup-simplify]: Simplify x into x 5.964 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.964 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 5.964 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 5.964 * [taylor]: Taking taylor expansion of 1/2 in x 5.964 * [backup-simplify]: Simplify 1/2 into 1/2 5.964 * [taylor]: Taking taylor expansion of x in x 5.964 * [backup-simplify]: Simplify 0 into 0 5.964 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.965 * [backup-simplify]: Simplify 1/2 into 1/2 5.965 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 5.966 * [taylor]: Taking taylor expansion of 0 in x 5.966 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 5.972 * [taylor]: Taking taylor expansion of 0 in x 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify 0 into 0 5.973 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 5.975 * [taylor]: Taking taylor expansion of 0 in x 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) y)) into (* 1/2 (/ y x)) 5.976 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 y) (/ 1 x))) into (* 1/2 (/ x y)) 5.976 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.976 * [taylor]: Taking taylor expansion of 1/2 in x 5.976 * [backup-simplify]: Simplify 1/2 into 1/2 5.976 * [taylor]: Taking taylor expansion of (/ x y) in x 5.976 * [taylor]: Taking taylor expansion of x in x 5.976 * [backup-simplify]: Simplify 0 into 0 5.976 * [backup-simplify]: Simplify 1 into 1 5.976 * [taylor]: Taking taylor expansion of y in x 5.976 * [backup-simplify]: Simplify y into y 5.977 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.977 * [taylor]: Taking taylor expansion of 1/2 in y 5.977 * [backup-simplify]: Simplify 1/2 into 1/2 5.977 * [taylor]: Taking taylor expansion of (/ x y) in y 5.977 * [taylor]: Taking taylor expansion of x in y 5.977 * [backup-simplify]: Simplify x into x 5.977 * [taylor]: Taking taylor expansion of y in y 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (/ x 1) into x 5.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.977 * [taylor]: Taking taylor expansion of 1/2 in y 5.977 * [backup-simplify]: Simplify 1/2 into 1/2 5.977 * [taylor]: Taking taylor expansion of (/ x y) in y 5.977 * [taylor]: Taking taylor expansion of x in y 5.977 * [backup-simplify]: Simplify x into x 5.977 * [taylor]: Taking taylor expansion of y in y 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (/ x 1) into x 5.977 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.977 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.977 * [taylor]: Taking taylor expansion of 1/2 in x 5.977 * [backup-simplify]: Simplify 1/2 into 1/2 5.977 * [taylor]: Taking taylor expansion of x in x 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.978 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.978 * [backup-simplify]: Simplify 1/2 into 1/2 5.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.980 * [taylor]: Taking taylor expansion of 0 in x 5.980 * [backup-simplify]: Simplify 0 into 0 5.980 * [backup-simplify]: Simplify 0 into 0 5.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.983 * [taylor]: Taking taylor expansion of 0 in x 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.983 * [backup-simplify]: Simplify 0 into 0 5.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.985 * [taylor]: Taking taylor expansion of 0 in x 5.985 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) into (* 1/2 (/ y x)) 5.986 * [backup-simplify]: Simplify (* 1/2 (/ (/ 1 (- y)) (/ 1 (- x)))) into (* 1/2 (/ x y)) 5.986 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 5.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 5.986 * [taylor]: Taking taylor expansion of 1/2 in x 5.986 * [backup-simplify]: Simplify 1/2 into 1/2 5.986 * [taylor]: Taking taylor expansion of (/ x y) in x 5.986 * [taylor]: Taking taylor expansion of x in x 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [taylor]: Taking taylor expansion of y in x 5.986 * [backup-simplify]: Simplify y into y 5.986 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.986 * [taylor]: Taking taylor expansion of 1/2 in y 5.986 * [backup-simplify]: Simplify 1/2 into 1/2 5.986 * [taylor]: Taking taylor expansion of (/ x y) in y 5.986 * [taylor]: Taking taylor expansion of x in y 5.986 * [backup-simplify]: Simplify x into x 5.986 * [taylor]: Taking taylor expansion of y in y 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (/ x 1) into x 5.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 5.986 * [taylor]: Taking taylor expansion of 1/2 in y 5.986 * [backup-simplify]: Simplify 1/2 into 1/2 5.986 * [taylor]: Taking taylor expansion of (/ x y) in y 5.986 * [taylor]: Taking taylor expansion of x in y 5.986 * [backup-simplify]: Simplify x into x 5.986 * [taylor]: Taking taylor expansion of y in y 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (/ x 1) into x 5.986 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.986 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.986 * [taylor]: Taking taylor expansion of 1/2 in x 5.986 * [backup-simplify]: Simplify 1/2 into 1/2 5.986 * [taylor]: Taking taylor expansion of x in x 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.987 * [backup-simplify]: Simplify 1/2 into 1/2 5.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 5.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 5.988 * [taylor]: Taking taylor expansion of 0 in x 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify 0 into 0 5.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.988 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 5.990 * [taylor]: Taking taylor expansion of 0 in x 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.990 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 5.992 * [taylor]: Taking taylor expansion of 0 in x 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify 0 into 0 5.992 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) into (* 1/2 (/ y x)) 5.993 * * * [progress]: simplifying candidates 5.993 * [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)) 5.994 * * [simplify]: iteration 0: 68 enodes 6.013 * * [simplify]: iteration 1: 172 enodes 6.062 * * [simplify]: iteration 2: 508 enodes 6.229 * * [simplify]: iteration 3: 1421 enodes 7.466 * * [simplify]: iteration complete: 5003 enodes 7.466 * * [simplify]: Extracting #0: cost 23 inf + 0 7.467 * * [simplify]: Extracting #1: cost 579 inf + 1 7.472 * * [simplify]: Extracting #2: cost 1294 inf + 10574 7.501 * * [simplify]: Extracting #3: cost 477 inf + 138039 7.561 * * [simplify]: Extracting #4: cost 33 inf + 208202 7.615 * * [simplify]: Extracting #5: cost 1 inf + 214229 7.664 * * [simplify]: Extracting #6: cost 0 inf + 214523 7.712 * [simplify]: Simplified to: (/ (* y 1/2) x) (log (/ (* y 1/2) x)) (log (/ (* y 1/2) x)) (log (/ (* y 1/2) x)) (sqrt (exp (/ y x))) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (* (cbrt (/ (* y 1/2) x)) (cbrt (/ (* y 1/2) x))) (cbrt (/ (* y 1/2) x)) (* (* 1/8 (* (/ y x) (/ y x))) (/ y x)) (sqrt (/ (* y 1/2) x)) (sqrt (/ (* y 1/2) x)) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (sqrt y) (/ (sqrt 1/2) (sqrt x))) (* (* 1/2 (cbrt (/ y x))) (cbrt (/ y x))) (* (sqrt (/ y x)) 1/2) (* 1/2 (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x)))) (* (* 1/2 (/ (cbrt y) (sqrt x))) (cbrt y)) (/ (* (cbrt y) (cbrt y)) 2) (* (/ 1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (* (/ 1/2 (sqrt x)) (sqrt y)) (/ (sqrt y) 2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* y 1/2) (* (cbrt 1/2) (/ y x)) (/ (* (sqrt 1/2) y) x) (/ (* y 1/2) x) (* y 1/2) (/ (* y 1/2) x) (/ (* y 1/2) x) (/ (* y 1/2) x) 7.713 * * * [progress]: adding candidates to table 7.864 * * [progress]: iteration 4 / 4 7.864 * * * [progress]: picking best candidate 7.869 * * * * [pick]: Picked # 7.869 * * * [progress]: localizing error 7.881 * * * [progress]: generating rewritten candidates 7.881 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 7.898 * * * [progress]: generating series expansions 7.898 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 7.898 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 7.898 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 7.898 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 7.898 * [taylor]: Taking taylor expansion of -1/2 in y 7.898 * [backup-simplify]: Simplify -1/2 into -1/2 7.898 * [taylor]: Taking taylor expansion of (/ y x) in y 7.898 * [taylor]: Taking taylor expansion of y in y 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.898 * [taylor]: Taking taylor expansion of x in y 7.898 * [backup-simplify]: Simplify x into x 7.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.898 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 7.898 * [taylor]: Taking taylor expansion of -1/2 in x 7.898 * [backup-simplify]: Simplify -1/2 into -1/2 7.898 * [taylor]: Taking taylor expansion of (/ y x) in x 7.898 * [taylor]: Taking taylor expansion of y in x 7.898 * [backup-simplify]: Simplify y into y 7.898 * [taylor]: Taking taylor expansion of x in x 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ y 1) into y 7.899 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 7.899 * [taylor]: Taking taylor expansion of -1/2 in x 7.899 * [backup-simplify]: Simplify -1/2 into -1/2 7.899 * [taylor]: Taking taylor expansion of (/ y x) in x 7.899 * [taylor]: Taking taylor expansion of y in x 7.899 * [backup-simplify]: Simplify y into y 7.899 * [taylor]: Taking taylor expansion of x in x 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (/ y 1) into y 7.899 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 7.899 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 7.899 * [taylor]: Taking taylor expansion of -1/2 in y 7.899 * [backup-simplify]: Simplify -1/2 into -1/2 7.899 * [taylor]: Taking taylor expansion of y in y 7.899 * [backup-simplify]: Simplify 0 into 0 7.899 * [backup-simplify]: Simplify 1 into 1 7.900 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 7.900 * [backup-simplify]: Simplify -1/2 into -1/2 7.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 7.901 * [taylor]: Taking taylor expansion of 0 in y 7.901 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.902 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 7.904 * [taylor]: Taking taylor expansion of 0 in y 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 0 into 0 7.905 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.909 * [taylor]: Taking taylor expansion of 0 in y 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 7.909 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 7.909 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 7.909 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 7.909 * [taylor]: Taking taylor expansion of -1/2 in y 7.909 * [backup-simplify]: Simplify -1/2 into -1/2 7.909 * [taylor]: Taking taylor expansion of (/ x y) in y 7.909 * [taylor]: Taking taylor expansion of x in y 7.909 * [backup-simplify]: Simplify x into x 7.909 * [taylor]: Taking taylor expansion of y in y 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 1 into 1 7.909 * [backup-simplify]: Simplify (/ x 1) into x 7.909 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 7.909 * [taylor]: Taking taylor expansion of -1/2 in x 7.909 * [backup-simplify]: Simplify -1/2 into -1/2 7.909 * [taylor]: Taking taylor expansion of (/ x y) in x 7.909 * [taylor]: Taking taylor expansion of x in x 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 1 into 1 7.909 * [taylor]: Taking taylor expansion of y in x 7.909 * [backup-simplify]: Simplify y into y 7.909 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.909 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 7.909 * [taylor]: Taking taylor expansion of -1/2 in x 7.909 * [backup-simplify]: Simplify -1/2 into -1/2 7.910 * [taylor]: Taking taylor expansion of (/ x y) in x 7.910 * [taylor]: Taking taylor expansion of x in x 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [taylor]: Taking taylor expansion of y in x 7.910 * [backup-simplify]: Simplify y into y 7.910 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.910 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 7.910 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 7.910 * [taylor]: Taking taylor expansion of -1/2 in y 7.910 * [backup-simplify]: Simplify -1/2 into -1/2 7.910 * [taylor]: Taking taylor expansion of y in y 7.910 * [backup-simplify]: Simplify 0 into 0 7.910 * [backup-simplify]: Simplify 1 into 1 7.910 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.910 * [backup-simplify]: Simplify -1/2 into -1/2 7.911 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.911 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 7.911 * [taylor]: Taking taylor expansion of 0 in y 7.911 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify 0 into 0 7.912 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.913 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.913 * [taylor]: Taking taylor expansion of 0 in y 7.913 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.915 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 7.915 * [taylor]: Taking taylor expansion of 0 in y 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify 0 into 0 7.916 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 7.916 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 7.917 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 7.917 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 7.917 * [taylor]: Taking taylor expansion of -1/2 in y 7.917 * [backup-simplify]: Simplify -1/2 into -1/2 7.917 * [taylor]: Taking taylor expansion of (/ x y) in y 7.917 * [taylor]: Taking taylor expansion of x in y 7.917 * [backup-simplify]: Simplify x into x 7.917 * [taylor]: Taking taylor expansion of y in y 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [backup-simplify]: Simplify (/ x 1) into x 7.917 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 7.917 * [taylor]: Taking taylor expansion of -1/2 in x 7.917 * [backup-simplify]: Simplify -1/2 into -1/2 7.917 * [taylor]: Taking taylor expansion of (/ x y) in x 7.917 * [taylor]: Taking taylor expansion of x in x 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [taylor]: Taking taylor expansion of y in x 7.917 * [backup-simplify]: Simplify y into y 7.917 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.917 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 7.917 * [taylor]: Taking taylor expansion of -1/2 in x 7.917 * [backup-simplify]: Simplify -1/2 into -1/2 7.917 * [taylor]: Taking taylor expansion of (/ x y) in x 7.917 * [taylor]: Taking taylor expansion of x in x 7.917 * [backup-simplify]: Simplify 0 into 0 7.917 * [backup-simplify]: Simplify 1 into 1 7.917 * [taylor]: Taking taylor expansion of y in x 7.917 * [backup-simplify]: Simplify y into y 7.917 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.917 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 7.917 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 7.918 * [taylor]: Taking taylor expansion of -1/2 in y 7.918 * [backup-simplify]: Simplify -1/2 into -1/2 7.918 * [taylor]: Taking taylor expansion of y in y 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 7.918 * [backup-simplify]: Simplify -1/2 into -1/2 7.918 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.919 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 7.919 * [taylor]: Taking taylor expansion of 0 in y 7.919 * [backup-simplify]: Simplify 0 into 0 7.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.920 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.921 * [taylor]: Taking taylor expansion of 0 in y 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify 0 into 0 7.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.921 * [backup-simplify]: Simplify 0 into 0 7.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.923 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 7.923 * [taylor]: Taking taylor expansion of 0 in y 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 7.924 * * * [progress]: simplifying candidates 7.926 * [simplify]: Simplifying: (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 7.928 * * [simplify]: iteration 0: 150 enodes 7.975 * * [simplify]: iteration 1: 371 enodes 8.070 * * [simplify]: iteration 2: 976 enodes 8.549 * * [simplify]: iteration 3: 3102 enodes 9.140 * * [simplify]: iteration complete: 5101 enodes 9.140 * * [simplify]: Extracting #0: cost 93 inf + 0 9.143 * * [simplify]: Extracting #1: cost 1078 inf + 3 9.159 * * [simplify]: Extracting #2: cost 1366 inf + 41884 9.206 * * [simplify]: Extracting #3: cost 457 inf + 195485 9.274 * * [simplify]: Extracting #4: cost 51 inf + 266586 9.369 * * [simplify]: Extracting #5: cost 2 inf + 272592 9.427 * * [simplify]: Extracting #6: cost 0 inf + 273320 9.515 * [simplify]: Simplified to: (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (log (/ (* -1/2 y) x)) (exp (/ (* -1/2 y) x)) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (* (cbrt (/ (* -1/2 y) x)) (cbrt (/ (* -1/2 y) x))) (cbrt (/ (* -1/2 y) x)) (/ -1/8 (* (/ x y) (* (/ x y) (/ x y)))) (sqrt (/ (* -1/2 y) x)) (sqrt (/ (* -1/2 y) x)) 1/2 (- (/ x y)) (* (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (* (/ (cbrt -1/2) (cbrt x)) (cbrt y)) (* (/ (cbrt -1/2) (cbrt x)) (cbrt y))) (/ (* (cbrt -1/2) (cbrt y)) (cbrt x)) (* (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (sqrt y)) (/ (* (cbrt -1/2) (sqrt y)) (cbrt x)) (* (/ (cbrt -1/2) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (* (/ (cbrt -1/2) (cbrt x)) y) (* (* (/ (cbrt -1/2) (sqrt x)) (* (cbrt y) (cbrt y))) (cbrt -1/2)) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (* (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt y) (sqrt x))) (/ (* (sqrt y) (cbrt -1/2)) (sqrt x)) (* (/ (cbrt -1/2) (sqrt x)) (cbrt -1/2)) (* y (/ (cbrt -1/2) (sqrt x))) (* (* (cbrt y) (cbrt y)) (* (cbrt -1/2) (cbrt -1/2))) (/ (cbrt -1/2) (/ x (cbrt y))) (* (cbrt -1/2) (* (sqrt y) (cbrt -1/2))) (/ (* (sqrt y) (cbrt -1/2)) x) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (/ x y)) (* (cbrt -1/2) (cbrt -1/2)) (/ (cbrt -1/2) (/ x y)) (/ (cbrt -1/2) (/ x (cbrt -1/2))) (* y (cbrt -1/2)) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (sqrt -1/2) (cbrt x)) (cbrt y)) (/ (* (sqrt -1/2) (sqrt y)) (* (cbrt x) (cbrt x))) (* (/ (sqrt -1/2) (cbrt x)) (sqrt y)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (/ (* (sqrt -1/2) y) (cbrt x)) (/ (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (sqrt x)) (* (/ (sqrt -1/2) (sqrt x)) (cbrt y)) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (* (sqrt y) (/ (sqrt -1/2) (sqrt x))) (/ (sqrt -1/2) (sqrt x)) (* (/ y (sqrt x)) (sqrt -1/2)) (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (* (cbrt y) (/ (sqrt -1/2) x)) (* (sqrt -1/2) (sqrt y)) (/ (sqrt -1/2) (/ x (sqrt y))) (sqrt -1/2) (/ (sqrt -1/2) (/ x y)) (sqrt -1/2) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (* y (sqrt -1/2)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (cbrt y) (/ -1/2 (cbrt x))) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* -1/2 (sqrt y)) (cbrt x)) (/ 1 (* (cbrt x) (cbrt x))) (* (/ -1/2 (cbrt x)) y) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (* (/ -1/2 (sqrt x)) (cbrt y)) (/ (sqrt y) (sqrt x)) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (sqrt x)) (/ (* y -1/2) (sqrt x)) (* (cbrt y) (cbrt y)) (* (cbrt y) (/ -1/2 x)) (sqrt y) (* (sqrt y) (/ -1/2 x)) 1 (/ (* -1/2 y) x) 1 (/ (* -1/2 y) x) (/ 1 x) (* -1/2 y) (/ y x) (/ (/ x y) -1/2) (/ (/ -1/2 (cbrt (/ x y))) (cbrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ -1/2 (* (cbrt x) (cbrt x))) (sqrt y)) (/ -1/2 (* (cbrt x) (cbrt x))) (* (* (cbrt y) (/ -1/2 (sqrt x))) (cbrt y)) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (sqrt x)) (* -1/2 (* (cbrt y) (cbrt y))) (* -1/2 (sqrt y)) -1/2 -1/2 (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) (/ -1/2 (/ x y)) 9.519 * * * [progress]: adding candidates to table 9.842 * [progress]: [Phase 3 of 3] Extracting. 9.842 * * [regime]: Finding splitpoints for: (# # # #) 9.843 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 9.843 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 9.877 * * * * [regimes]: Trying to branch on (* x x) from (# #) 9.903 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 9.969 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 9.992 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 10.049 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 10.078 * * * * [regimes]: Trying to branch on y from (# # # #) 10.153 * * * * [regimes]: Trying to branch on x from (# # # #) 10.205 * * * [regime]: Found split indices: #