11.439 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.030 * * [simplify]: iteration 0 : 77 enodes (cost 7 ) 0.030 * * [simplify]: iteration 1 : 77 enodes (cost 7 ) 0.030 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.050 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.052 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.052 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.056 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.056 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.056 * [taylor]: Taking taylor expansion of -1 in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (neg (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (+ (* x NAN) (* (pow x 2) (pow NAN 3))))) (- (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (/ (pow NAN 5) (pow x 2)))) (+ (* 1.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (+ (* 2 (/ (pow NAN 3) x)) (* 6 (/ (pow NAN 7) (pow x 3))))))) (- (+ (* 1.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2 (/ (pow NAN 3) x)) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (* 2.0 (/ (pow NAN 3) (pow x 2)))))) 0.107 * * [simplify]: iteration 0 : 4938 enodes (cost 339 ) 0.107 * * [simplify]: iteration 1 : 4938 enodes (cost 339 ) 0.109 * [simplify]: Simplified to: (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow x 3/2)) (+ x (+ x (+ (* (sqrt (+ x 1.0)) (sqrt x)) 1.0))) (neg (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) (- (* (* x (/ x (* 1.0 (sqrt 1.0)))) -1/8) (* x (+ NAN (* x (pow NAN 3))))))) (+ (* (/ (pow NAN 5) (* x x)) (+ (/ 6.0 x) 1)) (- (* 1.0 (- (/ NAN x) (/ (pow NAN 3) (pow x 3)))) (+ (* 6 (/ (pow NAN 7) (pow x 3))) (* (/ (pow NAN 3) x) (+ (/ 2.0 x) 2))))) (+ (+ (/ (pow NAN 5) (* x x)) (* 6 (/ (pow NAN 7) (pow x 3)))) (- (* (/ (pow NAN 3) x) (+ (/ 1.0 (* x x)) 2)) (+ (* 1.0 (/ NAN x)) (+ (* 6.0 (/ (pow NAN 5) (pow x 3))) (* 2.0 (/ (pow NAN 3) (* x x))))))) 0.109 * * * [progress]: adding candidates to table 0.146 * * [progress]: iteration 2 / 4 0.146 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.174 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.184 * * * [progress]: generating series expansions 0.184 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.184 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.188 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.191 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.191 * [taylor]: Taking taylor expansion of -1 in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.192 * [taylor]: Taking taylor expansion of -1 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.194 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.197 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.197 * [taylor]: Taking taylor expansion of -1 in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.197 * [taylor]: Taking taylor expansion of -1 in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * * * [progress]: simplifying candidates 0.200 * [simplify]: Simplifying using # : (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (neg (+ 1.0 0)) (neg (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (+ (* 1.0 (/ 1 (sqrt 1.0))) (+ (* 1.0 (/ (* (pow x 2) (pow NAN 2)) (pow (sqrt 1.0) 3))) (* 1.0 (/ (* (pow x 2) NAN) (pow (sqrt 1.0) 4)))))) (+ (* 1.0 (/ (* x NAN) (pow (sqrt 1.0) 2))) (+ (* 1.0 (/ (* (pow x 2) (pow NAN 3)) (pow (sqrt 1.0) 2))) (* 0.5 (/ x (pow (sqrt 1.0) 3)))))) (- (+ (* 0.125 (/ 1 (* (pow x 2) NAN))) (+ (* 0.5 (/ NAN (pow x 2))) (* 0.5 (/ 1 NAN)))) (+ (* 0.75 (/ (pow NAN 3) (pow x 2))) (* 0.25 (/ 1 (* x NAN))))) (- (+ (* 0.125 (/ 1 (* (pow x 2) NAN))) (+ (* 0.5 (/ NAN (pow x 2))) (+ (* 0.25 (/ 1 (* x NAN))) (* 0.5 (/ 1 NAN))))) (* 0.75 (/ (pow NAN 3) (pow x 2)))) (- (+ (sqrt 1.0) (+ (* x NAN) (+ (* 1/2 (/ x (sqrt 1.0))) (* (pow x 2) (pow NAN 3))))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (pow x 2))))) (* 2.0 (/ (pow NAN 3) (pow x 2)))) (- (+ (* 2 NAN) (* 3 (/ (pow NAN 5) (pow x 2)))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.242 * * [simplify]: iteration 0 : 5331 enodes (cost 976 ) 0.246 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (neg 1.0) (- (neg (sqrt x)) (sqrt (+ 1.0 x))) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ (+ (sqrt (+ 1.0 x)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2))) 1 (* 1.0 (* 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (log (+ (sqrt (+ 1.0 x)) (sqrt x))) (exp (+ (sqrt (+ 1.0 x)) (sqrt x))) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (pow (+ (sqrt (+ 1.0 x)) (sqrt x)) 3) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (+ (pow (sqrt (+ 1.0 x)) 3) (pow x 3/2)) (+ 1.0 (+ x (- x (* (sqrt (+ 1.0 x)) (sqrt x))))) 1.0 (- (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (sqrt (+ 1.0 x)) (sqrt x)) (+ (* 0.375 (* x (/ x (pow (sqrt 1.0) 5)))) (- (* 1.0 (- (+ (/ 1 (sqrt 1.0)) (* (/ (* x x) 1.0) (+ (/ (* NAN NAN) (sqrt 1.0)) (/ NAN 1.0)))) (+ (* x (/ NAN 1.0)) (* (* x x) (/ (pow NAN 3) 1.0))))) (* 0.5 (/ x (* 1.0 (sqrt 1.0)))))) (+ (/ 0.125 (* x (* x NAN))) (+ (* 0.5 (/ NAN (* x x))) (- (/ 0.5 NAN) (+ (* 0.75 (/ (pow NAN 3) (* x x))) (/ 0.25 (* x NAN)))))) (+ (/ 0.125 (* x (* x NAN))) (+ (* 0.5 (/ NAN (* x x))) (+ (/ 0.5 NAN) (- (/ 0.25 (* x NAN)) (* 0.75 (/ (pow NAN 3) (* x x))))))) (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) (+ (* x (+ (* x (pow NAN 3)) NAN)) (* (* x (/ x (* 1.0 (sqrt 1.0)))) -1/8)))) (+ (* 1.0 (/ NAN x)) (+ (* 2 NAN) (- (* 3 (/ (pow NAN 5) (* x x))) (* (/ (pow NAN 3) (* x x)) 2.0)))) (+ (* 2 NAN) (- (* 3 (/ (pow NAN 5) (* x x))) (+ (* 1.0 (/ NAN x)) (* (/ (pow NAN 3) (* x x)) 2.0)))) 0.247 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 3 / 4 0.354 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.381 * * * [progress]: localizing error 0.394 * * * [progress]: generating rewritten candidates 0.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.422 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.436 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.444 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.488 * * * [progress]: generating series expansions 0.488 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.488 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.488 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.488 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.492 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))))) in (x) around 0 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))))) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.493 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.493 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))))) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.496 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.496 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.510 * [taylor]: Taking taylor expansion of -1 in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.511 * [taylor]: Taking taylor expansion of -1 in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.511 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.513 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.513 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.513 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.514 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.514 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.520 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.521 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.521 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.526 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.526 * [taylor]: Taking taylor expansion of -1 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.527 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.527 * [taylor]: Taking taylor expansion of -1 in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.531 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.531 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.532 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.532 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.532 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.532 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.534 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.535 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 0.535 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.538 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.541 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.542 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.542 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.542 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.545 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.545 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.546 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.548 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.549 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.552 * * * [progress]: simplifying candidates 0.561 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (neg (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (neg (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) 1) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) 1) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (+ (sqrt (+ 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7)) (* x (* x (sqrt 1/2))))) (* (sqrt (/ 1 NAN)) (/ 0.0078125 (* x (* x (* 1/2 (sqrt 1/2))))))))) (+ (* x (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) 1/4)) (+ (* x (* (* NAN (sqrt (/ 1 (sqrt 1.0)))) 1/2)) (+ (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (* x (* (pow NAN 3) (sqrt (/ 1 (sqrt 1.0)))))))) (+ (* (* (* x x) (+ (* NAN (* NAN (sqrt (/ 1 (* 1.0 (sqrt 1.0)))))) (* NAN (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) -1/8) (* (* x (* x (sqrt (/ 1 (pow (sqrt 1.0) 7))))) -3/32))))) (+ (* (sqrt NAN) (+ (sqrt 2) (/ 0.5 (* x (sqrt 2))))) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 0.125 (/ (sqrt NAN) (* x (* x (* 2 (sqrt 2)))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2)))))))) (+ (* (sqrt NAN) (sqrt 2)) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 0.5 (/ (sqrt NAN) (* x (sqrt 2)))) (+ (* 0.125 (/ (sqrt NAN) (* x (* x (* 2 (sqrt 2)))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2))))))))) (+ (* x (* (sqrt (/ 1 (* 1.0 (sqrt 1.0)))) 1/4)) (+ (* x (* (* NAN (sqrt (/ 1 (sqrt 1.0)))) 1/2)) (+ (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (* x (* (pow NAN 3) (sqrt (/ 1 (sqrt 1.0)))))))) (+ (* (* (* x x) (+ (* NAN (* NAN (sqrt (/ 1 (* 1.0 (sqrt 1.0)))))) (* NAN (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) -1/8) (* (* x (* x (sqrt (/ 1 (pow (sqrt 1.0) 7))))) -3/32))))) (+ (* (sqrt NAN) (+ (sqrt 2) (/ 0.5 (* x (sqrt 2))))) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 0.125 (/ (sqrt NAN) (* x (* x (* 2 (sqrt 2)))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2)))))))) (+ (* (sqrt NAN) (sqrt 2)) (- (* 3/2 (/ (sqrt (pow NAN 9)) (* x (* x (sqrt 2))))) (+ (* 0.5 (/ (sqrt NAN) (* x (sqrt 2)))) (+ (* 0.125 (/ (sqrt NAN) (* x (* x (* 2 (sqrt 2)))))) (* 1.0 (/ (sqrt (pow NAN 5)) (* x (* x (sqrt 2))))))))) 0.713 * * * [progress]: adding candidates to table 1.292 * * [progress]: iteration 4 / 4 1.292 * * * [progress]: picking best candidate 1.322 * * * * [pick]: Picked # 1.322 * * * [progress]: localizing error 1.333 * * * [progress]: generating rewritten candidates 1.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.368 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.389 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.418 * * * [progress]: generating series expansions 1.418 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.418 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.418 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.418 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.418 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.418 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.418 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.419 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.419 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.422 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.422 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.422 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.422 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.422 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.422 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.422 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.426 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.426 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.426 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.426 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.426 * [taylor]: Taking taylor expansion of -1 in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.426 * [taylor]: Taking taylor expansion of x in x 1.426 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.427 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.427 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.427 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.427 * [taylor]: Taking taylor expansion of -1 in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.427 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.430 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.430 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.430 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.430 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.430 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.430 * [taylor]: Taking taylor expansion of 1.0 in x 1.430 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.430 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.430 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [taylor]: Taking taylor expansion of 1.0 in x 1.431 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.434 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.434 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.436 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.436 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.436 * [taylor]: Taking taylor expansion of 1.0 in x 1.436 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.436 * [taylor]: Taking taylor expansion of -1 in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.437 * [taylor]: Taking taylor expansion of -1 in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.439 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.439 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.439 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.439 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.443 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in (x) around 0 1.443 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.443 * [taylor]: Taking taylor expansion of x in x 1.443 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.445 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.445 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.445 * [taylor]: Taking taylor expansion of -1 in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.446 * [taylor]: Taking taylor expansion of -1 in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.448 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 1.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.448 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.448 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of 1.0 in x 1.448 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.448 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.449 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.449 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.449 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.449 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.449 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.449 * [taylor]: Taking taylor expansion of x in x 1.449 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.449 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in (x) around 0 1.455 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.455 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.455 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))))) in x 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))))) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0)))) in x 1.456 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1.0))) in x 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.456 * [taylor]: Taking taylor expansion of x in x 1.456 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.461 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.461 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.461 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.461 * [taylor]: Taking taylor expansion of -1 in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.462 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.462 * [taylor]: Taking taylor expansion of -1 in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.462 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * * * [progress]: simplifying candidates 1.476 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (exp (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))) (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (cbrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (sqrt (/ 1 (* (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))) (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))))) (* (sqrt (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (cbrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt 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(sqrt x))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (* (sqrt (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3)))) (sqrt (/ 1.0 (+ (pow (sqrt (+ 1.0 x)) 3) (pow (sqrt x) 3))))) (* (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (+ (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (/ 1.0 (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x))))) (sqrt (/ 1.0 (- (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt x) (sqrt x)))))) (* (sqrt (- (sqrt (+ 1.0 x)) (sqrt x))) (sqrt (- (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x))))) (sqrt (sqrt (/ 1.0 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5)))) 3/8))) (+ (* (* (sqrt (/ 1 (sqrt 1.0))) (+ (* x NAN) (* x (* x (pow NAN 3))))) -1/2) (* (* x (sqrt (/ 1 (* 1.0 (sqrt 1.0))))) -1/4))))) (+ (+ (* 0.25 (* (sqrt 1.0) (/ (sqrt (pow NAN 3)) (* x (* x (sqrt 1/2)))))) (* (sqrt (/ 1 NAN)) (+ (* (sqrt 1.0) (sqrt 1/2)) (* 0.0625 (/ (sqrt 1.0) (* x (* x (sqrt 1/2)))))))) (- (- (* (* (sqrt 1.0) (/ (sqrt (pow NAN 7)) (* x (* x (sqrt 1/2))))) -3/8) (* (sqrt (/ 1 NAN)) (* 0.0078125 (/ (sqrt 1.0) (* 1/2 (* x (* x (sqrt 1/2)))))))) (* 0.125 (* (sqrt 1.0) (/ (sqrt (/ 1 NAN)) (* x (sqrt 1/2))))))) (+ (+ (+ (* 0.25 (* (sqrt 1.0) (/ (sqrt (pow NAN 3)) (* x (* x (sqrt 1/2)))))) (* (sqrt (/ 1 NAN)) (+ (* (sqrt 1.0) (sqrt 1/2)) (* 0.0625 (/ (sqrt 1.0) (* x (* x (sqrt 1/2)))))))) (* 0.125 (* (sqrt 1.0) (/ (sqrt (/ 1 NAN)) (* x (sqrt 1/2)))))) (- (* (* (sqrt 1.0) (/ (sqrt (pow NAN 7)) (* x (* x (sqrt 1/2))))) -3/8) (* (sqrt (/ 1 NAN)) (* 0.0078125 (/ (sqrt 1.0) (* 1/2 (* x (* x (sqrt 1/2))))))))) 1.555 * * * [progress]: adding candidates to table 2.024 * [progress]: [Phase 3 of 3] Extracting. 2.024 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.027 * * * [regime-changes]: Trying 2 branch expressions: ((- (sqrt (+ x 1.0)) (sqrt x)) x) 2.027 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # #) 2.083 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.140 * * * [regime]: Found split indices: #