45.037 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.020 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.021 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.034 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.041 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.108 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.116 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.156 * [taylor]: Taking taylor expansion of -1 in x 0.156 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.184 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.184 * [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 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.186 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.202 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.202 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * * * [progress]: simplifying candidates 0.226 * [simplify]: Simplifying using # : (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.231 * * [simplify]: iteration 0 : 278 enodes (cost 393 ) 0.236 * * [simplify]: iteration 1 : 1058 enodes (cost 351 ) 0.256 * * [simplify]: iteration 2 : 5002 enodes (cost 347 ) 0.263 * [simplify]: Simplified to: (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ x (- 1.0 (* 1.0 (- (sqrt (+ x 1.0)) 1.0)))) (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (+ (+ (/ x (+ (sqrt 1.0) 1.0)) (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (+ (* +nan.0 (- x (/ 1 x))) (- +nan.0)) (+ (* +nan.0 (- x (/ 1 x))) (- +nan.0)) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 0.263 * * * [progress]: adding candidates to table 0.344 * * [progress]: iteration 2 / 4 0.344 * * * [progress]: picking best candidate 0.347 * * * * [pick]: Picked # 0.347 * * * [progress]: localizing error 0.353 * * * [progress]: generating rewritten candidates 0.353 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.361 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.372 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.381 * * * [progress]: generating series expansions 0.381 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.381 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.381 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.384 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.446 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.449 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.489 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.489 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) 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 0.491 * [taylor]: Taking taylor expansion of 1.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.492 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.551 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.559 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.591 * [taylor]: Taking taylor expansion of -1 in x 0.591 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.600 * [taylor]: Taking taylor expansion of -1 in x 0.600 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.628 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.628 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.628 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.630 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.663 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * * * [progress]: simplifying candidates 0.675 * [simplify]: Simplifying using # : (- 1) (- (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (+ (log x) (- (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- 0 (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* x (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x 1) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (+ (/ 1 (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.681 * * [simplify]: iteration 0 : 414 enodes (cost 731 ) 0.689 * * [simplify]: iteration 1 : 1864 enodes (cost 625 ) 0.720 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 0.723 * [simplify]: Simplified to: (- 1) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (- 1) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 1 (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (* (- (- (* 1.0 1.0) x) 1.0) 1)) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x x x (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) x (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))) (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (+ (+ (/ 1 (+ (sqrt 1.0) 1.0)) (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 1/4 1.0) (/ (pow x 2) (pow (+ (sqrt 1.0) 1.0) 3))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (+ (/ x (+ (sqrt 1.0) 1.0)) (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (+ (* +nan.0 (- x (/ 1 x))) (- +nan.0)) (+ (* +nan.0 (- x (/ 1 x))) (- +nan.0)) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) 0.724 * * * [progress]: adding candidates to table 0.839 * * [progress]: iteration 3 / 4 0.839 * * * [progress]: picking best candidate 0.841 * * * * [pick]: Picked # 0.841 * * * [progress]: localizing error 0.848 * * * [progress]: generating rewritten candidates 0.848 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.864 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.869 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.882 * * * [progress]: generating series expansions 0.882 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.882 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.882 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.884 * [taylor]: Taking taylor expansion of 1.0 in x 0.886 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.886 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of 1.0 in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.951 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.959 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.959 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.986 * [taylor]: Taking taylor expansion of -1 in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.987 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.996 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.996 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.997 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of 1.0 in x 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.998 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 1.021 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.022 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.022 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.023 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.023 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 1.039 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.039 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.039 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.040 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.040 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.040 * [taylor]: Taking taylor expansion of 1.0 in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.040 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 1.051 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.053 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.063 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.063 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 1.063 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 1.063 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.064 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 1.068 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.068 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.068 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.288 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.288 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.290 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.290 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.290 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.292 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.294 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.294 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.335 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.336 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.336 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.339 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.339 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.339 * [taylor]: Taking taylor expansion of -1 in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.340 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.362 * * * [progress]: simplifying candidates 1.364 * [simplify]: Simplifying using # : (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (sqrt x) (/ (sqrt x) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt x)) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (- (sqrt x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1) (/ (cbrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (cbrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (* (cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (cbrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt (sqrt x))) (/ (+ 1.0 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+nan.0 (/ x (+ (sqrt 1.0) 1.0)))) (* +nan.0 (- (/ (pow x 3) (+ (sqrt 1.0) 1.0)) (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))) (- (* +nan.0 (/ (pow x 2) (+ (sqrt 1.0) 1.0))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) 1.423 * * * [progress]: adding candidates to table 1.606 * [progress]: [Phase 3 of 3] Extracting. 1.606 * * [regime]: Finding splitpoints for: (# # #) 1.606 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 1.606 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# # #) 1.622 * * * * [regimes]: Trying to branch on x from (# # #) 1.636 * * * [regime]: Found split indices: #