11.940 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (* x (+ 1.0 (* y y))) 0.018 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) 0.021 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (* x (+ 1.0 (* y y))) into (* x (+ (pow y 2) 1.0)) 0.047 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [backup-simplify]: Simplify x into x 0.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [backup-simplify]: Simplify y into y 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [backup-simplify]: Simplify 1.0 into 1.0 0.047 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.047 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.047 * [backup-simplify]: Simplify (* 0 (+ (pow y 2) 1.0)) into 0 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ (pow y 2) 1.0))) into (+ (pow y 2) 1.0) 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.049 * [backup-simplify]: Simplify 1.0 into 1.0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.049 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (pow y 2) 1.0)))) into 0 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ 0 0) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ (pow y 2) 1.0))))) 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 0 into 0 0.052 * [backup-simplify]: Simplify (* 1.0 (* 1 x)) into (* 1.0 x) 0.052 * [backup-simplify]: Simplify (* (/ 1 x) (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (/ (+ (/ 1 (pow y 2)) 1.0) x) 0.052 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [backup-simplify]: Simplify x into x 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [backup-simplify]: Simplify y into y 0.053 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [backup-simplify]: Simplify 1.0 into 1.0 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.053 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [backup-simplify]: Simplify y into y 0.054 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.054 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [backup-simplify]: Simplify 1.0 into 1.0 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.054 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [backup-simplify]: Simplify (* 1 1) into 1 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.055 * [backup-simplify]: Simplify 1.0 into 1.0 0.055 * [backup-simplify]: Simplify (+ 1 0) into 1 0.055 * [backup-simplify]: Simplify 1 into 1 0.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.055 * [backup-simplify]: Simplify (+ 0 0) into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.060 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.060 * [backup-simplify]: Simplify 1.0 into 1.0 0.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.061 * [backup-simplify]: Simplify (+ 0 0) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.069 * [backup-simplify]: Simplify (+ 0 0) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.072 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) 0.072 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.072 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.072 * [taylor]: Taking taylor expansion of -1 in y 0.072 * [backup-simplify]: Simplify -1 into -1 0.072 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.072 * [backup-simplify]: Simplify (* 1 1) into 1 0.072 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [taylor]: Taking taylor expansion of 1.0 in y 0.072 * [backup-simplify]: Simplify 1.0 into 1.0 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [backup-simplify]: Simplify x into x 0.073 * [backup-simplify]: Simplify (+ 1 0) into 1 0.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.073 * [taylor]: Taking taylor expansion of -1 in x 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [backup-simplify]: Simplify 1.0 into 1.0 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.073 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.073 * [taylor]: Taking taylor expansion of -1 in x 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [backup-simplify]: Simplify y into y 0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.073 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.074 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.074 * [backup-simplify]: Simplify (* -1 (+ (/ 1 (pow y 2)) 1.0)) into (* -1 (+ (/ 1 (pow y 2)) 1.0)) 0.074 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [backup-simplify]: Simplify -1 into -1 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1 1) into 1 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [backup-simplify]: Simplify 1.0 into 1.0 0.075 * [backup-simplify]: Simplify (+ 1 0) into 1 0.075 * [backup-simplify]: Simplify (* -1 1) into -1 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.076 * [backup-simplify]: Simplify (+ 0 0) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))) into 0 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.083 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 0) (* 0 1))) into (- 1.0) 0.083 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.084 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))))) into 0 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1))))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.101 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))))) into 0 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x)))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.102 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying: (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.102 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) (+ (log h0) (log (+ h1 (* h2 h2)))) (log (* h0 (+ h1 (* h2 h2)))) (exp (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 h0) h0) (* (* (+ h1 (* h2 h2)) (+ h1 (* h2 h2))) (+ h1 (* h2 h2)))) (* (cbrt (* h0 (+ h1 (* h2 h2)))) (cbrt (* h0 (+ h1 (* h2 h2))))) (cbrt (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2)))) (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* h0 h1) (* h0 (* h2 h2)) (* h1 h0) (* (* h2 h2) h0) (* h0 (* (cbrt (+ h1 (* h2 h2))) (cbrt (+ h1 (* h2 h2))))) (* h0 (sqrt (+ h1 (* h2 h2)))) (* h0 1) (* (cbrt h0) (+ h1 (* h2 h2))) (* (sqrt h0) (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2))) (* h0 (+ (pow h1 3) (pow (* h2 h2) 3))) (* h0 (- (* h1 h1) (* (* h2 h2) (* h2 h2)))) (* h1 h0) (+ (* h0 (pow h2 2)) (* h1 h0)) (+ (* h0 (pow h2 2)) (* h1 h0)) 0.106 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.109 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.123 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.180 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.181 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.228 * * * [progress]: generating rewritten candidates 0.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.300 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.300 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.300 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.300 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of 1.0 in y 0.300 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.301 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.303 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.304 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.306 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.313 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.315 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.315 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.315 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [taylor]: Taking taylor expansion of 1.0 in y 0.316 * [backup-simplify]: Simplify 1.0 into 1.0 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (sqrt 1) into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [backup-simplify]: Simplify 1.0 into 1.0 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (sqrt 1) into 1 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.323 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.323 * [backup-simplify]: Simplify 0.5 into 0.5 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.328 * [backup-simplify]: Simplify -0.125 into -0.125 0.328 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.329 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [backup-simplify]: Simplify 1.0 into 1.0 0.329 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [backup-simplify]: Simplify 1.0 into 1.0 0.332 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (sqrt 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.337 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.337 * [backup-simplify]: Simplify 0.5 into 0.5 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.342 * [backup-simplify]: Simplify -0.125 into -0.125 0.342 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.342 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.342 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.342 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [backup-simplify]: Simplify 1.0 into 1.0 0.343 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.343 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.344 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.345 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (+ 1 0) into 1 0.347 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.348 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.354 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.356 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.356 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (* 1 1) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of 1.0 in y 0.357 * [backup-simplify]: Simplify 1.0 into 1.0 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.358 * [backup-simplify]: Simplify (sqrt 1) into 1 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of 1.0 in y 0.360 * [backup-simplify]: Simplify 1.0 into 1.0 0.360 * [backup-simplify]: Simplify (+ 1 0) into 1 0.360 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.367 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.368 * [backup-simplify]: Simplify 0.5 into 0.5 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.373 * [backup-simplify]: Simplify -0.125 into -0.125 0.373 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.373 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.373 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of 1.0 in y 0.374 * [backup-simplify]: Simplify 1.0 into 1.0 0.374 * [backup-simplify]: Simplify (+ 1 0) into 1 0.374 * [backup-simplify]: Simplify (sqrt 1) into 1 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of 1.0 in y 0.376 * [backup-simplify]: Simplify 1.0 into 1.0 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (sqrt 1) into 1 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.381 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.381 * [backup-simplify]: Simplify 0.5 into 0.5 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.387 * [backup-simplify]: Simplify -0.125 into -0.125 0.387 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.387 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.387 * [backup-simplify]: Simplify (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) into (* x (+ (pow y 2) 1.0)) 0.387 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [backup-simplify]: Simplify x into x 0.387 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of 1.0 in y 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.387 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [backup-simplify]: Simplify y into y 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.388 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.388 * [backup-simplify]: Simplify (* 0 (+ (pow y 2) 1.0)) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (+ (pow y 2) 1.0))) into (+ (pow y 2) 1.0) 0.388 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [taylor]: Taking taylor expansion of 1.0 in y 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.389 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ (pow y 2) 1.0)))) into 0 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.391 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ (pow y 2) 1.0))))) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (* 1.0 (* 1 x)) into (* 1.0 x) 0.392 * [backup-simplify]: Simplify (* (* (/ 1 x) (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) into (/ (+ (/ 1 (pow y 2)) 1.0) x) 0.392 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.392 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [taylor]: Taking taylor expansion of 1.0 in y 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [backup-simplify]: Simplify x into x 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.393 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [backup-simplify]: Simplify y into y 0.393 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.393 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.394 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [backup-simplify]: Simplify y into y 0.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.394 * [taylor]: Taking taylor expansion of 1.0 in x 0.394 * [backup-simplify]: Simplify 1.0 into 1.0 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.394 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [taylor]: Taking taylor expansion of 1.0 in y 0.395 * [backup-simplify]: Simplify 1.0 into 1.0 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.411 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) 0.411 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.411 * [taylor]: Taking taylor expansion of -1 in y 0.411 * [backup-simplify]: Simplify -1 into -1 0.411 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of 1.0 in y 0.412 * [backup-simplify]: Simplify 1.0 into 1.0 0.412 * [taylor]: Taking taylor expansion of x in y 0.412 * [backup-simplify]: Simplify x into x 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.412 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.412 * [taylor]: Taking taylor expansion of -1 in x 0.412 * [backup-simplify]: Simplify -1 into -1 0.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [backup-simplify]: Simplify 1.0 into 1.0 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.413 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.413 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.413 * [taylor]: Taking taylor expansion of -1 in x 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.413 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.413 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [backup-simplify]: Simplify 1.0 into 1.0 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.413 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y 2)) 1.0) 1) into (+ (/ 1 (pow y 2)) 1.0) 0.414 * [backup-simplify]: Simplify (* -1 (+ (/ 1 (pow y 2)) 1.0)) into (* -1 (+ (/ 1 (pow y 2)) 1.0)) 0.414 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.414 * [taylor]: Taking taylor expansion of -1 in y 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (* 1 1) into 1 0.414 * [backup-simplify]: Simplify (/ 1 1) into 1 0.414 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [backup-simplify]: Simplify 1.0 into 1.0 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.415 * [backup-simplify]: Simplify (* -1 1) into -1 0.415 * [backup-simplify]: Simplify -1 into -1 0.415 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))) into 0 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.422 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 0) (* 0 1))) into (- 1.0) 0.422 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.423 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.423 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1)))) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.429 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0)))))) into 0 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 0) (* 0 1))))) into 0 0.433 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.435 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (+ (/ 1 (pow y 2)) 1.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 (pow y 2)) 1.0))))))) into 0 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (+ (* (- 1.0) (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x)))))) into (+ (* x (pow y 2)) (* 1.0 x)) 0.438 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.438 * [backup-simplify]: Simplify (* x (sqrt (+ 1.0 (* y y)))) into (* x (sqrt (+ (pow y 2) 1.0))) 0.439 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [backup-simplify]: Simplify x into x 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.439 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.439 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [backup-simplify]: Simplify 1.0 into 1.0 0.439 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.439 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.440 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.440 * [taylor]: Taking taylor expansion of y in x 0.440 * [backup-simplify]: Simplify y into y 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.440 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.440 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 0.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.441 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [backup-simplify]: Simplify y into y 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.441 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.441 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 0.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.442 * [backup-simplify]: Simplify (* 0 (sqrt (+ (pow y 2) 1.0))) into 0 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (pow y 2) 1.0)))) into (sqrt (+ (pow y 2) 1.0)) 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.442 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [taylor]: Taking taylor expansion of 1.0 in y 0.442 * [backup-simplify]: Simplify 1.0 into 1.0 0.442 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.443 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.444 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (+ (pow y 2) 1.0))))) into 0 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (+ (pow y 2) 1.0)))))) into 0 0.447 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify (* (sqrt 1.0) (* 1 x)) into (* x (sqrt 1.0)) 0.448 * [backup-simplify]: Simplify (* (/ 1 x) (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y))))) into (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) 0.448 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.448 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of 1.0 in y 0.448 * [backup-simplify]: Simplify 1.0 into 1.0 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ 0 0) into 0 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [backup-simplify]: Simplify x into x 0.450 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.450 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [backup-simplify]: Simplify y into y 0.450 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.451 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.451 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.452 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.454 * [backup-simplify]: Simplify (/ 1 1) into 1 0.454 * [taylor]: Taking taylor expansion of 1.0 in y 0.454 * [backup-simplify]: Simplify 1.0 into 1.0 0.454 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.461 * [backup-simplify]: Simplify (+ 0 0) into 0 0.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.464 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.464 * [backup-simplify]: Simplify 0.5 into 0.5 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.467 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.472 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 (/ x y)) (* x y)) 0.473 * [backup-simplify]: Simplify (* (/ 1 (- x)) (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) 0.473 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.473 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.473 * [taylor]: Taking taylor expansion of -1 in y 0.473 * [backup-simplify]: Simplify -1 into -1 0.473 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of 1.0 in y 0.473 * [backup-simplify]: Simplify 1.0 into 1.0 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [backup-simplify]: Simplify x into x 0.475 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.475 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [backup-simplify]: Simplify -1 into -1 0.475 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [backup-simplify]: Simplify y into y 0.475 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.475 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.476 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.476 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.477 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [backup-simplify]: Simplify -1 into -1 0.477 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [backup-simplify]: Simplify y into y 0.477 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.477 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [backup-simplify]: Simplify 1.0 into 1.0 0.477 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.477 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.477 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.478 * [backup-simplify]: Simplify (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) into (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) 0.478 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.478 * [taylor]: Taking taylor expansion of -1 in y 0.478 * [backup-simplify]: Simplify -1 into -1 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of 1.0 in y 0.479 * [backup-simplify]: Simplify 1.0 into 1.0 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [backup-simplify]: Simplify (* -1 1) into -1 0.481 * [backup-simplify]: Simplify -1 into -1 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.489 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.490 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 0) (* 0 1))) into (- 0.5) 0.490 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))))) into 0 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 0) (* 0 1)))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))))) into 0 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ x y)) (* x y))) 0.501 * * * [progress]: simplifying candidates 0.502 * [simplify]: Simplifying: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.502 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (+ (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (+ (log (* h2 (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (log (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (exp (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (- h0 (* h1 h1))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt 1)) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) 1) (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1)))) (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (* h2 (sqrt (+ h0 (* h1 h1))))) (exp (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1)))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt 1)) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 1) (* (cbrt h2) (sqrt (+ h0 (* h1 h1)))) (* (sqrt h2) (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h0 h2) (+ (* h2 (pow h1 2)) (* h0 h2)) (+ (* h2 (pow h1 2)) (* h0 h2)) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 0.507 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.513 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.538 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.541 * * * [progress]: adding candidates to table 0.732 * * [progress]: iteration 3 / 4 0.732 * * * [progress]: picking best candidate 0.738 * * * * [pick]: Picked # 0.738 * * * [progress]: localizing error 0.748 * * * [progress]: generating rewritten candidates 0.748 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.753 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.758 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.763 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.818 * * * [progress]: generating series expansions 0.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.818 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.818 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.818 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.818 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of 1.0 in y 0.818 * [backup-simplify]: Simplify 1.0 into 1.0 0.819 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.819 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.820 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of 1.0 in y 0.820 * [backup-simplify]: Simplify 1.0 into 1.0 0.820 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.820 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.821 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.824 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.831 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.832 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.833 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.833 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of 1.0 in y 0.833 * [backup-simplify]: Simplify 1.0 into 1.0 0.833 * [backup-simplify]: Simplify (+ 1 0) into 1 0.834 * [backup-simplify]: Simplify (sqrt 1) into 1 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [taylor]: Taking taylor expansion of 1.0 in y 0.836 * [backup-simplify]: Simplify 1.0 into 1.0 0.836 * [backup-simplify]: Simplify (+ 1 0) into 1 0.836 * [backup-simplify]: Simplify (sqrt 1) into 1 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.840 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.840 * [backup-simplify]: Simplify 0.5 into 0.5 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.849 * [backup-simplify]: Simplify -0.125 into -0.125 0.849 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.850 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.850 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.850 * [backup-simplify]: Simplify 1.0 into 1.0 0.850 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [backup-simplify]: Simplify (sqrt 1) into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (* 1 1) into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [taylor]: Taking taylor expansion of 1.0 in y 0.853 * [backup-simplify]: Simplify 1.0 into 1.0 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.853 * [backup-simplify]: Simplify (sqrt 1) into 1 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.857 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.857 * [backup-simplify]: Simplify 0.5 into 0.5 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.863 * [backup-simplify]: Simplify -0.125 into -0.125 0.863 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.863 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.863 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.863 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.863 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of 1.0 in y 0.863 * [backup-simplify]: Simplify 1.0 into 1.0 0.864 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.864 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.865 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [taylor]: Taking taylor expansion of 1.0 in y 0.865 * [backup-simplify]: Simplify 1.0 into 1.0 0.865 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.865 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.866 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (* 1 1) into 1 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.869 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.875 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.877 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.877 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.878 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (* 1 1) into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [taylor]: Taking taylor expansion of 1.0 in y 0.878 * [backup-simplify]: Simplify 1.0 into 1.0 0.878 * [backup-simplify]: Simplify (+ 1 0) into 1 0.879 * [backup-simplify]: Simplify (sqrt 1) into 1 0.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of 1.0 in y 0.881 * [backup-simplify]: Simplify 1.0 into 1.0 0.881 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (sqrt 1) into 1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.885 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.885 * [backup-simplify]: Simplify 0.5 into 0.5 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.891 * [backup-simplify]: Simplify -0.125 into -0.125 0.891 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.891 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.891 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [taylor]: Taking taylor expansion of 1.0 in y 0.892 * [backup-simplify]: Simplify 1.0 into 1.0 0.892 * [backup-simplify]: Simplify (+ 1 0) into 1 0.892 * [backup-simplify]: Simplify (sqrt 1) into 1 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [taylor]: Taking taylor expansion of 1.0 in y 0.894 * [backup-simplify]: Simplify 1.0 into 1.0 0.895 * [backup-simplify]: Simplify (+ 1 0) into 1 0.895 * [backup-simplify]: Simplify (sqrt 1) into 1 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.899 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.899 * [backup-simplify]: Simplify 0.5 into 0.5 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.905 * [backup-simplify]: Simplify -0.125 into -0.125 0.905 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.905 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.905 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 0.905 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.905 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [taylor]: Taking taylor expansion of 1.0 in y 0.905 * [backup-simplify]: Simplify 1.0 into 1.0 0.906 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.906 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.907 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of 1.0 in y 0.907 * [backup-simplify]: Simplify 1.0 into 1.0 0.907 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.907 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.908 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (+ 1 0) into 1 0.910 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.911 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.911 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.917 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.919 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 0.920 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.920 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of 1.0 in y 0.920 * [backup-simplify]: Simplify 1.0 into 1.0 0.920 * [backup-simplify]: Simplify (+ 1 0) into 1 0.921 * [backup-simplify]: Simplify (sqrt 1) into 1 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [backup-simplify]: Simplify 1.0 into 1.0 0.923 * [backup-simplify]: Simplify (+ 1 0) into 1 0.923 * [backup-simplify]: Simplify (sqrt 1) into 1 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.927 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.927 * [backup-simplify]: Simplify 0.5 into 0.5 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.936 * [backup-simplify]: Simplify -0.125 into -0.125 0.936 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 0.936 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.936 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [taylor]: Taking taylor expansion of 1.0 in y 0.937 * [backup-simplify]: Simplify 1.0 into 1.0 0.937 * [backup-simplify]: Simplify (+ 1 0) into 1 0.938 * [backup-simplify]: Simplify (sqrt 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.940 * [taylor]: Taking taylor expansion of 1.0 in y 0.940 * [backup-simplify]: Simplify 1.0 into 1.0 0.940 * [backup-simplify]: Simplify (+ 1 0) into 1 0.940 * [backup-simplify]: Simplify (sqrt 1) into 1 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.945 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.945 * [backup-simplify]: Simplify 0.5 into 0.5 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.950 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.950 * [backup-simplify]: Simplify -0.125 into -0.125 0.950 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 0.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.951 * [backup-simplify]: Simplify (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) into (* x (sqrt (+ (pow y 2) 1.0))) 0.951 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.951 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [backup-simplify]: Simplify x into x 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.951 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [taylor]: Taking taylor expansion of 1.0 in y 0.951 * [backup-simplify]: Simplify 1.0 into 1.0 0.951 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.951 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.952 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.952 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.952 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [backup-simplify]: Simplify y into y 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [backup-simplify]: Simplify 1.0 into 1.0 0.952 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.952 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.953 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 0.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.953 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.953 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.953 * [backup-simplify]: Simplify y into y 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [backup-simplify]: Simplify 1.0 into 1.0 0.953 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.953 * [backup-simplify]: Simplify (+ (pow y 2) 1.0) into (+ (pow y 2) 1.0) 0.953 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) 1.0)) into (sqrt (+ (pow y 2) 1.0)) 0.953 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.954 * [backup-simplify]: Simplify (* 0 (sqrt (+ (pow y 2) 1.0))) into 0 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (pow y 2) 1.0)))) into (sqrt (+ (pow y 2) 1.0)) 0.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.954 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [taylor]: Taking taylor expansion of 1.0 in y 0.954 * [backup-simplify]: Simplify 1.0 into 1.0 0.955 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.955 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.956 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (+ (pow y 2) 1.0))))) into 0 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow y 2) 1.0)))) into 0 0.960 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (+ (pow y 2) 1.0)))))) into 0 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (* (sqrt 1.0) (* 1 x)) into (* x (sqrt 1.0)) 0.960 * [backup-simplify]: Simplify (* (* (/ 1 x) (sqrt (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))))) (sqrt (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))))) into (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) 0.960 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.960 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.960 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.961 * [backup-simplify]: Simplify (/ 1 1) into 1 0.961 * [taylor]: Taking taylor expansion of 1.0 in y 0.961 * [backup-simplify]: Simplify 1.0 into 1.0 0.961 * [backup-simplify]: Simplify (+ 1 0) into 1 0.961 * [backup-simplify]: Simplify (sqrt 1) into 1 0.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.963 * [taylor]: Taking taylor expansion of x in y 0.963 * [backup-simplify]: Simplify x into x 0.963 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.963 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [backup-simplify]: Simplify 1.0 into 1.0 0.963 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.963 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.963 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [backup-simplify]: Simplify y into y 0.964 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.964 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [backup-simplify]: Simplify 1.0 into 1.0 0.965 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.965 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [taylor]: Taking taylor expansion of 1.0 in y 0.966 * [backup-simplify]: Simplify 1.0 into 1.0 0.967 * [backup-simplify]: Simplify (+ 1 0) into 1 0.967 * [backup-simplify]: Simplify (sqrt 1) into 1 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.971 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.974 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.974 * [backup-simplify]: Simplify 0.5 into 0.5 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.976 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (+ (* 0.5 (* (/ 1 y) (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 0.5 (/ x y)) (* x y)) 0.982 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (sqrt (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))))) (sqrt (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))))) into (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) 0.982 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.982 * [taylor]: Taking taylor expansion of -1 in y 0.982 * [backup-simplify]: Simplify -1 into -1 0.983 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* 1 1) into 1 0.983 * [backup-simplify]: Simplify (/ 1 1) into 1 0.983 * [taylor]: Taking taylor expansion of 1.0 in y 0.983 * [backup-simplify]: Simplify 1.0 into 1.0 0.983 * [backup-simplify]: Simplify (+ 1 0) into 1 0.984 * [backup-simplify]: Simplify (sqrt 1) into 1 0.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.985 * [taylor]: Taking taylor expansion of x in y 0.985 * [backup-simplify]: Simplify x into x 0.985 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.985 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.985 * [taylor]: Taking taylor expansion of -1 in x 0.985 * [backup-simplify]: Simplify -1 into -1 0.985 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.985 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [backup-simplify]: Simplify y into y 0.985 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [backup-simplify]: Simplify 1.0 into 1.0 0.985 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.986 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.986 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (/ 1 1) into 1 0.986 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [backup-simplify]: Simplify -1 into -1 0.987 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [backup-simplify]: Simplify 1.0 into 1.0 0.987 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 1.0) into (+ (/ 1 (pow y 2)) 1.0) 0.987 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y 2)) 1.0)) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.987 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0.988 * [backup-simplify]: Simplify (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) into (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) 0.988 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.988 * [taylor]: Taking taylor expansion of -1 in y 0.988 * [backup-simplify]: Simplify -1 into -1 0.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.989 * [taylor]: Taking taylor expansion of 1.0 in y 0.989 * [backup-simplify]: Simplify 1.0 into 1.0 0.989 * [backup-simplify]: Simplify (+ 1 0) into 1 0.989 * [backup-simplify]: Simplify (sqrt 1) into 1 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.991 * [backup-simplify]: Simplify (* -1 1) into -1 0.991 * [backup-simplify]: Simplify -1 into -1 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.992 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (* 0 1)) into 0 0.992 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.992 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.993 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (* 0 1))) into 0 0.995 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))) into 0 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.998 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 0.999 * [backup-simplify]: Simplify (+ (* -1 0.5) (+ (* 0 0) (* 0 1))) into (- 0.5) 1.000 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.001 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.003 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0)))))) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.006 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.5) (+ (* 0 0) (* 0 1)))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y 2)) 1.0)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.010 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y 2)) 1.0))))))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (+ (* (- 0.5) (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ x y)) (* x y))) 1.011 * * * [progress]: simplifying candidates 1.012 * [simplify]: Simplifying: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.013 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (+ (+ (log h2) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (+ (log (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (exp (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt 1))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt 1)) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) 1) (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 1.018 * * [simplify]: iteration 0 : 298 enodes (cost 736 ) 1.023 * * [simplify]: iteration 1 : 1063 enodes (cost 653 ) 1.045 * * [simplify]: iteration 2 : 4704 enodes (cost 639 ) 1.135 * * [simplify]: iteration 3 : 5001 enodes (cost 639 ) 1.139 * * * [progress]: adding candidates to table 1.378 * * [progress]: iteration 4 / 4 1.378 * * * [progress]: picking best candidate 1.382 * * * * [pick]: Picked # 1.382 * * * [progress]: localizing error 1.394 * * * [progress]: generating rewritten candidates 1.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.399 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.404 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.415 * * * [progress]: generating series expansions 1.415 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.415 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.415 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.415 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [taylor]: Taking taylor expansion of 1.0 in y 1.415 * [backup-simplify]: Simplify 1.0 into 1.0 1.416 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.416 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.417 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [taylor]: Taking taylor expansion of 1.0 in y 1.417 * [backup-simplify]: Simplify 1.0 into 1.0 1.417 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.417 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.418 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.418 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (+ 1 0) into 1 1.420 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.421 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.431 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.433 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.433 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.433 * [taylor]: Taking taylor expansion of y in y 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (* 1 1) into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [taylor]: Taking taylor expansion of 1.0 in y 1.434 * [backup-simplify]: Simplify 1.0 into 1.0 1.434 * [backup-simplify]: Simplify (+ 1 0) into 1 1.434 * [backup-simplify]: Simplify (sqrt 1) into 1 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.436 * [taylor]: Taking taylor expansion of y in y 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.436 * [backup-simplify]: Simplify (/ 1 1) into 1 1.436 * [taylor]: Taking taylor expansion of 1.0 in y 1.436 * [backup-simplify]: Simplify 1.0 into 1.0 1.436 * [backup-simplify]: Simplify (+ 1 0) into 1 1.437 * [backup-simplify]: Simplify (sqrt 1) into 1 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.441 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.441 * [backup-simplify]: Simplify 0.5 into 0.5 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.446 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.446 * [backup-simplify]: Simplify -0.125 into -0.125 1.447 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.447 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.447 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.447 * [taylor]: Taking taylor expansion of y in y 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* 1 1) into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [taylor]: Taking taylor expansion of 1.0 in y 1.448 * [backup-simplify]: Simplify 1.0 into 1.0 1.448 * [backup-simplify]: Simplify (+ 1 0) into 1 1.448 * [backup-simplify]: Simplify (sqrt 1) into 1 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.449 * [taylor]: Taking taylor expansion of y in y 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of 1.0 in y 1.450 * [backup-simplify]: Simplify 1.0 into 1.0 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.450 * [backup-simplify]: Simplify (sqrt 1) into 1 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.455 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.455 * [backup-simplify]: Simplify 0.5 into 0.5 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.460 * [backup-simplify]: Simplify -0.125 into -0.125 1.460 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.461 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.461 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.461 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.461 * [taylor]: Taking taylor expansion of y in y 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [taylor]: Taking taylor expansion of 1.0 in y 1.461 * [backup-simplify]: Simplify 1.0 into 1.0 1.461 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.461 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.462 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [taylor]: Taking taylor expansion of 1.0 in y 1.462 * [backup-simplify]: Simplify 1.0 into 1.0 1.462 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.463 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.463 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.464 * [backup-simplify]: Simplify (+ 1 0) into 1 1.466 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.466 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.473 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.474 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.475 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.475 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.475 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.475 * [taylor]: Taking taylor expansion of y in y 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (* 1 1) into 1 1.475 * [backup-simplify]: Simplify (/ 1 1) into 1 1.475 * [taylor]: Taking taylor expansion of 1.0 in y 1.475 * [backup-simplify]: Simplify 1.0 into 1.0 1.476 * [backup-simplify]: Simplify (+ 1 0) into 1 1.476 * [backup-simplify]: Simplify (sqrt 1) into 1 1.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.477 * [taylor]: Taking taylor expansion of y in y 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of 1.0 in y 1.478 * [backup-simplify]: Simplify 1.0 into 1.0 1.478 * [backup-simplify]: Simplify (+ 1 0) into 1 1.478 * [backup-simplify]: Simplify (sqrt 1) into 1 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.482 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.483 * [backup-simplify]: Simplify 0.5 into 0.5 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.488 * [backup-simplify]: Simplify -0.125 into -0.125 1.488 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.488 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.488 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.488 * [taylor]: Taking taylor expansion of y in y 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (* 1 1) into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [taylor]: Taking taylor expansion of 1.0 in y 1.489 * [backup-simplify]: Simplify 1.0 into 1.0 1.489 * [backup-simplify]: Simplify (+ 1 0) into 1 1.490 * [backup-simplify]: Simplify (sqrt 1) into 1 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.492 * [backup-simplify]: Simplify (/ 1 1) into 1 1.492 * [taylor]: Taking taylor expansion of 1.0 in y 1.492 * [backup-simplify]: Simplify 1.0 into 1.0 1.492 * [backup-simplify]: Simplify (+ 1 0) into 1 1.492 * [backup-simplify]: Simplify (sqrt 1) into 1 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.496 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.496 * [backup-simplify]: Simplify 0.5 into 0.5 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.502 * [backup-simplify]: Simplify -0.125 into -0.125 1.502 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.502 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.502 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.502 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.502 * [taylor]: Taking taylor expansion of y in y 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [taylor]: Taking taylor expansion of 1.0 in y 1.502 * [backup-simplify]: Simplify 1.0 into 1.0 1.502 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.503 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.503 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.503 * [taylor]: Taking taylor expansion of y in y 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [taylor]: Taking taylor expansion of 1.0 in y 1.503 * [backup-simplify]: Simplify 1.0 into 1.0 1.504 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.504 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.505 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.507 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.507 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.514 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.519 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.519 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.519 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.519 * [taylor]: Taking taylor expansion of y in y 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (* 1 1) into 1 1.520 * [backup-simplify]: Simplify (/ 1 1) into 1 1.520 * [taylor]: Taking taylor expansion of 1.0 in y 1.520 * [backup-simplify]: Simplify 1.0 into 1.0 1.520 * [backup-simplify]: Simplify (+ 1 0) into 1 1.520 * [backup-simplify]: Simplify (sqrt 1) into 1 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.522 * [taylor]: Taking taylor expansion of y in y 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.522 * [backup-simplify]: Simplify (/ 1 1) into 1 1.522 * [taylor]: Taking taylor expansion of 1.0 in y 1.522 * [backup-simplify]: Simplify 1.0 into 1.0 1.523 * [backup-simplify]: Simplify (+ 1 0) into 1 1.523 * [backup-simplify]: Simplify (sqrt 1) into 1 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.525 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.527 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.527 * [backup-simplify]: Simplify 0.5 into 0.5 1.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.532 * [backup-simplify]: Simplify -0.125 into -0.125 1.533 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.533 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.533 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.533 * [taylor]: Taking taylor expansion of y in y 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.533 * [backup-simplify]: Simplify (/ 1 1) into 1 1.533 * [taylor]: Taking taylor expansion of 1.0 in y 1.533 * [backup-simplify]: Simplify 1.0 into 1.0 1.534 * [backup-simplify]: Simplify (+ 1 0) into 1 1.534 * [backup-simplify]: Simplify (sqrt 1) into 1 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.535 * [taylor]: Taking taylor expansion of y in y 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.536 * [taylor]: Taking taylor expansion of 1.0 in y 1.536 * [backup-simplify]: Simplify 1.0 into 1.0 1.536 * [backup-simplify]: Simplify (+ 1 0) into 1 1.536 * [backup-simplify]: Simplify (sqrt 1) into 1 1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ 0 0) into 0 1.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.541 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.541 * [backup-simplify]: Simplify 0.5 into 0.5 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ 0 0) into 0 1.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.546 * [backup-simplify]: Simplify -0.125 into -0.125 1.546 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.547 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.547 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* y y))) into (sqrt (+ (pow y 2) 1.0)) 1.547 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.547 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.547 * [taylor]: Taking taylor expansion of y in y 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [taylor]: Taking taylor expansion of 1.0 in y 1.547 * [backup-simplify]: Simplify 1.0 into 1.0 1.547 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.547 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.548 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.548 * [taylor]: Taking taylor expansion of y in y 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of 1.0 in y 1.548 * [backup-simplify]: Simplify 1.0 into 1.0 1.548 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.549 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.550 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (* 1 1) into 1 1.550 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.552 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 1.0)))))) (* 2 (sqrt 1.0))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.559 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.560 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow y 4)) (+ (* (/ 1/2 (sqrt 1.0)) (pow y 2)) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) 1.561 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.561 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [taylor]: Taking taylor expansion of 1.0 in y 1.561 * [backup-simplify]: Simplify 1.0 into 1.0 1.561 * [backup-simplify]: Simplify (+ 1 0) into 1 1.562 * [backup-simplify]: Simplify (sqrt 1) into 1 1.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ 0 0) into 0 1.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.563 * [taylor]: Taking taylor expansion of y in y 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [taylor]: Taking taylor expansion of 1.0 in y 1.564 * [backup-simplify]: Simplify 1.0 into 1.0 1.564 * [backup-simplify]: Simplify (+ 1 0) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.568 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.568 * [backup-simplify]: Simplify 0.5 into 0.5 1.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.574 * [backup-simplify]: Simplify -0.125 into -0.125 1.574 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 y) 3)) (+ (* 0.5 (/ 1 y)) (* 1 (/ 1 (/ 1 y))))) into (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) 1.574 * [backup-simplify]: Simplify (sqrt (+ 1.0 (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow y 2)) 1.0)) 1.574 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.574 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.574 * [taylor]: Taking taylor expansion of y in y 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.575 * [backup-simplify]: Simplify (* 1 1) into 1 1.575 * [backup-simplify]: Simplify (/ 1 1) into 1 1.575 * [taylor]: Taking taylor expansion of 1.0 in y 1.575 * [backup-simplify]: Simplify 1.0 into 1.0 1.575 * [backup-simplify]: Simplify (+ 1 0) into 1 1.575 * [backup-simplify]: Simplify (sqrt 1) into 1 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.577 * [taylor]: Taking taylor expansion of y in y 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* 1 1) into 1 1.577 * [backup-simplify]: Simplify (/ 1 1) into 1 1.577 * [taylor]: Taking taylor expansion of 1.0 in y 1.577 * [backup-simplify]: Simplify 1.0 into 1.0 1.578 * [backup-simplify]: Simplify (+ 1 0) into 1 1.578 * [backup-simplify]: Simplify (sqrt 1) into 1 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.582 * [backup-simplify]: Simplify (/ (- 1.0 (pow 0 2) (+)) (* 2 1)) into 0.5 1.582 * [backup-simplify]: Simplify 0.5 into 0.5 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (+ 0 0) into 0 1.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0.5)))) (* 2 1)) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 1.588 * [backup-simplify]: Simplify -0.125 into -0.125 1.588 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- y)) 3)) (+ (* 0.5 (/ 1 (- y))) (* 1 (/ 1 (/ 1 (- y)))))) into (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.588 * * * [progress]: simplifying candidates 1.589 * [simplify]: Simplifying: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.590 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) 1.594 * * [simplify]: iteration 0 : 135 enodes (cost 416 ) 1.597 * * [simplify]: iteration 1 : 448 enodes (cost 408 ) 1.606 * * [simplify]: iteration 2 : 1981 enodes (cost 400 ) 1.650 * * [simplify]: iteration 3 : 5001 enodes (cost 396 ) 1.652 * * * [progress]: adding candidates to table 1.885 * [progress]: [Phase 3 of 3] Extracting. 1.886 * * [regime]: Finding splitpoints for: (# # # # #) 1.886 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.886 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.901 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 1.915 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 1.933 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.949 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.967 * * * [regime]: Found split indices: #