11.897 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.060 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.061 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.062 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.063 * * [simplify]: iteration done : 10 enodes (cost 8 ) 0.063 * [simplify]: Simplified to: (log (+ (sqrt (fma x x 1.0)) x)) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.079 * * * [progress]: generating rewritten candidates 0.079 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.083 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.092 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.146 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.146 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.149 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.149 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.197 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.197 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [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 0.253 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.253 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.253 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.331 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.332 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.332 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 1.0 in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1.0 in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.341 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.360 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.360 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.390 * * * [progress]: simplifying candidates 0.390 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (exp (log (+ x (sqrt (+ (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (* (* (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0))))) (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (* (exp x) (exp (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ x (sqrt (+ (* x x) 1.0)))) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (* (* (+ x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0)))) (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0))))) (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)))) (- x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 0.25 (/ 1 (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 0.09375 (/ 1 (pow x 4))))) (- (+ (log 0.5) (+ (* 0.125 (/ 1 (pow x 4))) (log (/ -1 x)))) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.0078125 (/ 1 (* (pow x 4) (pow 0.5 2)))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (pow x 5))))) 0.394 * * [simplify]: iteration 0 : 139 enodes (cost 813 ) 0.424 * * [simplify]: iteration 1 : 329 enodes (cost 677 ) 0.505 * * [simplify]: iteration 2 : 941 enodes (cost 609 ) 1.113 * * [simplify]: iteration 3 : 3494 enodes (cost 595 ) 1.866 * * [simplify]: iteration done : 5000 enodes (cost 595 ) 1.866 * [simplify]: Simplified to: (expm1 (sqrt (fma x x 1.0))) (log1p (sqrt (fma x x 1.0))) (log (sqrt (fma x x 1.0))) (exp (sqrt (fma x x 1.0))) (* (cbrt (sqrt (fma x x 1.0))) (cbrt (sqrt (fma x x 1.0)))) (cbrt (sqrt (fma x x 1.0))) (pow (sqrt (fma x x 1.0)) 3) (fabs (cbrt (fma x x 1.0))) (sqrt (cbrt (fma x x 1.0))) (sqrt (sqrt (fma x x 1.0))) (sqrt (sqrt (fma x x 1.0))) 1 (sqrt (fma x x 1.0)) (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (fma 1.0 (- 1.0 (* x x)) (pow x 4))) (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (fma x x 1.0))) (sqrt (sqrt (fma x x 1.0))) (expm1 (log (+ (sqrt (fma x x 1.0)) x))) (log1p (log (+ (sqrt (fma x x 1.0)) x))) (* 2 (log (cbrt (+ (sqrt (fma x x 1.0)) x)))) (log (cbrt (+ (sqrt (fma x x 1.0)) x))) (log (sqrt (+ (sqrt (fma x x 1.0)) x))) (log (sqrt (+ (sqrt (fma x x 1.0)) x))) 0 (log (+ (sqrt (fma x x 1.0)) x)) 0 (log (+ (sqrt (fma x x 1.0)) x)) (log (+ (pow x 3) (pow (sqrt (fma x x 1.0)) 3))) (log (- (fma x x 1.0) (* x (- (sqrt (fma x x 1.0)) x)))) (log (- 0 1.0)) (log (- x (sqrt (fma x x 1.0)))) (log (+ (sqrt (fma x x 1.0)) x)) (log (log (+ (sqrt (fma x x 1.0)) x))) (+ (sqrt (fma x x 1.0)) x) (* (cbrt (log (+ (sqrt (fma x x 1.0)) x))) (cbrt (log (+ (sqrt (fma x x 1.0)) x)))) (cbrt (log (+ (sqrt (fma x x 1.0)) x))) (pow (log (+ (sqrt (fma x x 1.0)) x)) 3) (sqrt (log (+ (sqrt (fma x x 1.0)) x))) (sqrt (log (+ (sqrt (fma x x 1.0)) x))) (expm1 (+ (sqrt (fma x x 1.0)) x)) (log1p (+ (sqrt (fma x x 1.0)) x)) (exp (+ (sqrt (fma x x 1.0)) x)) (log (+ (sqrt (fma x x 1.0)) x)) (exp (+ (sqrt (fma x x 1.0)) x)) (* (cbrt (+ (sqrt (fma x x 1.0)) x)) (cbrt (+ (sqrt (fma x x 1.0)) x))) (cbrt (+ (sqrt (fma x x 1.0)) x)) (pow (+ (sqrt (fma x x 1.0)) x) 3) (sqrt (+ (sqrt (fma x x 1.0)) x)) (sqrt (+ (sqrt (fma x x 1.0)) x)) (+ (pow x 3) (pow (sqrt (fma x x 1.0)) 3)) (- (fma x x 1.0) (* x (- (sqrt (fma x x 1.0)) x))) (- 0 1.0) (- x (sqrt (fma x x 1.0))) (+ (sqrt (fma x x 1.0)) x) (fma -1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (sqrt 1.0))) (+ (/ 0.5 x) (- x (/ 0.125 (pow x 3)))) (- (/ 0.125 (pow x 3)) (+ (/ 0.5 x) x)) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (+ (log 2) (- (/ 0.25 (* x x)) (- (/ 0.09375 (pow x 4)) (log x)))) (- (+ (log (/ -1 x)) (+ (/ 0.125 (pow x 4)) (log 0.5))) (+ (/ 0.25 (* x x)) (/ 0.0078125 (* (pow x 4) (pow 0.5 2))))) (+ (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (sqrt 1.0)) x) (- (fma x 2 (/ 0.5 x)) (/ 0.125 (pow x 3))) (- (/ 0.125 (pow x 3)) (+ (/ 0.5 x) (/ 0.0625 (pow x 5)))) 1.866 * * * [progress]: adding candidates to table 2.061 * * [progress]: iteration 2 / 4 2.061 * * * [progress]: picking best candidate 2.075 * * * * [pick]: Picked # 2.075 * * * [progress]: localizing error 2.086 * * * [progress]: generating rewritten candidates 2.086 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.087 * * * [progress]: generating series expansions 2.087 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.088 * [approximate]: Taking taylor expansion of (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) in (x) around 0 2.089 * [taylor]: Taking taylor expansion of (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) in x 2.089 * [taylor]: Rewrote expression to (+ (* -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 2.089 * [taylor]: Taking taylor expansion of (* -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 2.089 * [taylor]: Taking taylor expansion of -1/6 in x 2.089 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 2.089 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 2.089 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.089 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 2.093 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 2.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.095 * [taylor]: Taking taylor expansion of 1.0 in x 2.096 * [taylor]: Taking taylor expansion of (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) in x 2.096 * [taylor]: Rewrote expression to (+ (* -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 2.096 * [taylor]: Taking taylor expansion of (* -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 2.096 * [taylor]: Taking taylor expansion of -1/6 in x 2.096 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 2.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.096 * [taylor]: Taking taylor expansion of 1.0 in x 2.100 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 2.100 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 2.100 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.100 * [taylor]: Taking taylor expansion of 1.0 in x 2.101 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 2.101 * [taylor]: Taking taylor expansion of x in x 2.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.102 * [taylor]: Taking taylor expansion of 1.0 in x 2.131 * [approximate]: Taking taylor expansion of (fma -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) in (x) around 0 2.131 * [taylor]: Taking taylor expansion of (fma -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) in x 2.131 * [taylor]: Rewrote expression to (+ (* -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) 2.131 * [taylor]: Taking taylor expansion of (* -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 2.131 * [taylor]: Taking taylor expansion of -1/6 in x 2.131 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 2.131 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 2.131 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.131 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 2.131 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.131 * [taylor]: Taking taylor expansion of 1.0 in x 2.136 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 2.136 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 2.136 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.136 * [taylor]: Taking taylor expansion of 1.0 in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 2.138 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.141 * [taylor]: Taking taylor expansion of (fma -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) in x 2.141 * [taylor]: Rewrote expression to (+ (* -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) 2.141 * [taylor]: Taking taylor expansion of (* -1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 2.141 * [taylor]: Taking taylor expansion of -1/6 in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 2.141 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 2.141 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 2.141 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.141 * [taylor]: Taking taylor expansion of 1.0 in x 2.146 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 2.146 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 2.146 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.146 * [taylor]: Taking taylor expansion of 1.0 in x 2.147 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 2.147 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.147 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.147 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [approximate]: Taking taylor expansion of (fma -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3))) (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) in (x) around 0 2.182 * [taylor]: Taking taylor expansion of (fma -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3))) (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) in x 2.182 * [taylor]: Rewrote expression to (+ (* -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3)))) (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) 2.182 * [taylor]: Taking taylor expansion of (* -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 2.182 * [taylor]: Taking taylor expansion of -1/6 in x 2.182 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 2.182 * [taylor]: Taking taylor expansion of -1 in x 2.182 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 2.182 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 2.182 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [taylor]: Taking taylor expansion of (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 2.187 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 2.187 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 2.189 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.192 * [taylor]: Taking taylor expansion of (fma -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3))) (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) in x 2.192 * [taylor]: Rewrote expression to (+ (* -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3)))) (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0))))) 2.192 * [taylor]: Taking taylor expansion of (* -1/6 (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 2.192 * [taylor]: Taking taylor expansion of -1/6 in x 2.192 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 2.192 * [taylor]: Taking taylor expansion of -1 in x 2.192 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 2.192 * [taylor]: Taking taylor expansion of (pow x 3) in x 2.192 * [taylor]: Taking taylor expansion of x in x 2.192 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 2.192 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.192 * [taylor]: Taking taylor expansion of 1.0 in x 2.197 * [taylor]: Taking taylor expansion of (- (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 2.197 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 2.197 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.198 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 2.198 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 2.198 * [taylor]: Taking taylor expansion of x in x 2.198 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.199 * [taylor]: Taking taylor expansion of 1.0 in x 2.238 * * * [progress]: simplifying candidates 2.239 * [simplify]: Simplifying using # : (expm1 (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (log1p (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (log (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (exp (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (cbrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (cbrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))))) (cbrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (* (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (sqrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (sqrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 2.240 * * [simplify]: iteration 0 : 25 enodes (cost 295 ) 2.244 * * [simplify]: iteration 1 : 51 enodes (cost 295 ) 2.253 * * [simplify]: iteration 2 : 167 enodes (cost 256 ) 2.302 * * [simplify]: iteration 3 : 902 enodes (cost 256 ) 2.855 * * [simplify]: iteration done : 5001 enodes (cost 256 ) 2.855 * [simplify]: Simplified to: (expm1 (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (log1p (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (log (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (exp (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (cbrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (cbrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))))) (cbrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (pow (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 3) (sqrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (sqrt (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 2.856 * * * [progress]: adding candidates to table 2.898 * * [progress]: iteration 3 / 4 2.898 * * * [progress]: picking best candidate 2.910 * * * * [pick]: Picked # 2.910 * * * [progress]: localizing error 2.916 * * * [progress]: generating rewritten candidates 2.916 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.918 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.921 * * * [progress]: generating series expansions 2.921 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.922 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 2.922 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 2.922 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.922 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.922 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.922 * [taylor]: Taking taylor expansion of (* x x) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.922 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.922 * [taylor]: Taking taylor expansion of 1.0 in x 2.923 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.923 * [taylor]: Taking taylor expansion of 1.0 in x 2.930 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 2.930 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.930 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.930 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.930 * [taylor]: Taking taylor expansion of (* x x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.930 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.930 * [taylor]: Taking taylor expansion of 1.0 in x 2.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.931 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 2.986 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.986 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.987 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.987 * [taylor]: Taking taylor expansion of x in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.987 * [taylor]: Taking taylor expansion of x in x 2.987 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.987 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.987 * [taylor]: Taking taylor expansion of 1.0 in x 2.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.988 * [taylor]: Taking taylor expansion of 1.0 in x 2.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.991 * [taylor]: Taking taylor expansion of x in x 2.992 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.992 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.992 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.992 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.992 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.992 * [taylor]: Taking taylor expansion of x in x 2.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.992 * [taylor]: Taking taylor expansion of x in x 2.993 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.993 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.993 * [taylor]: Taking taylor expansion of 1.0 in x 2.993 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.993 * [taylor]: Taking taylor expansion of 1.0 in x 2.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.997 * [taylor]: Taking taylor expansion of x in x 3.248 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 3.248 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 3.248 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.248 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.248 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.248 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.248 * [taylor]: Taking taylor expansion of -1 in x 3.248 * [taylor]: Taking taylor expansion of x in x 3.248 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.248 * [taylor]: Taking taylor expansion of -1 in x 3.248 * [taylor]: Taking taylor expansion of x in x 3.249 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.249 * [taylor]: Taking taylor expansion of 1.0 in x 3.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.249 * [taylor]: Taking taylor expansion of 1.0 in x 3.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.253 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 3.264 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.264 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.264 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.264 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.264 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.264 * [taylor]: Taking taylor expansion of -1 in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.264 * [taylor]: Taking taylor expansion of -1 in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.265 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.265 * [taylor]: Taking taylor expansion of 1.0 in x 3.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.265 * [taylor]: Taking taylor expansion of 1.0 in x 3.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.269 * [taylor]: Taking taylor expansion of x in x 3.384 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.384 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 3.384 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.384 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.384 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.384 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.384 * [taylor]: Taking taylor expansion of (* x x) in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.384 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.384 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.384 * [taylor]: Taking taylor expansion of 1.0 in x 3.385 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.385 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.397 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.397 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.397 * [taylor]: Taking taylor expansion of (* x x) in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [taylor]: Taking taylor expansion of x in x 3.397 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.397 * [taylor]: Taking taylor expansion of 1.0 in x 3.398 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.398 * [taylor]: Taking taylor expansion of 1.0 in x 3.411 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.411 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.411 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.411 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.411 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.411 * [taylor]: Taking taylor expansion of x in x 3.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.412 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.413 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.413 * [taylor]: Taking taylor expansion of 1.0 in x 3.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.416 * [taylor]: Taking taylor expansion of x in x 3.416 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.416 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.416 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.416 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.416 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.416 * [taylor]: Taking taylor expansion of x in x 3.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.417 * [taylor]: Taking taylor expansion of x in x 3.417 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.417 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.417 * [taylor]: Taking taylor expansion of 1.0 in x 3.418 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.418 * [taylor]: Taking taylor expansion of 1.0 in x 3.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.421 * [taylor]: Taking taylor expansion of x in x 3.450 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.450 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.450 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.450 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.450 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.450 * [taylor]: Taking taylor expansion of -1 in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.450 * [taylor]: Taking taylor expansion of -1 in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.451 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.451 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.451 * [taylor]: Taking taylor expansion of 1.0 in x 3.451 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.451 * [taylor]: Taking taylor expansion of 1.0 in x 3.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.455 * [taylor]: Taking taylor expansion of x in x 3.455 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.455 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.455 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.455 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.455 * [taylor]: Taking taylor expansion of -1 in x 3.455 * [taylor]: Taking taylor expansion of x in x 3.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.455 * [taylor]: Taking taylor expansion of -1 in x 3.455 * [taylor]: Taking taylor expansion of x in x 3.456 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.456 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.456 * [taylor]: Taking taylor expansion of 1.0 in x 3.456 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.456 * [taylor]: Taking taylor expansion of 1.0 in x 3.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.520 * * * [progress]: simplifying candidates 3.520 * [simplify]: Simplifying using # : (expm1 (log (+ x (hypot x (sqrt 1.0))))) (log1p (log (+ x (hypot x (sqrt 1.0))))) (log (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (cbrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log 1) (log (+ x (hypot x (sqrt 1.0)))) (log 1) (log (+ x (hypot x (sqrt 1.0)))) (log (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3))) (log (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0)))))) (log (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))))) (log (- x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (+ x (hypot x (sqrt 1.0))))) (exp (log (+ x (hypot x (sqrt 1.0))))) (* (cbrt (log (+ x (hypot x (sqrt 1.0))))) (cbrt (log (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (hypot x (sqrt 1.0))))) (* (* (log (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 3.523 * * [simplify]: iteration 0 : 102 enodes (cost 509 ) 3.540 * * [simplify]: iteration 1 : 240 enodes (cost 487 ) 3.594 * * [simplify]: iteration 2 : 682 enodes (cost 433 ) 3.916 * * [simplify]: iteration 3 : 2977 enodes (cost 430 ) 4.739 * * [simplify]: iteration done : 5000 enodes (cost 430 ) 4.740 * [simplify]: Simplified to: (expm1 (log (+ x (hypot x (sqrt 1.0))))) (log1p (log (+ x (hypot x (sqrt 1.0))))) (* 2 (log (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (cbrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) 0 (log (+ x (hypot x (sqrt 1.0)))) 0 (log (+ x (hypot x (sqrt 1.0)))) (log (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3))) (log (fma x x (* (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x)))) (log (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))))) (log (- x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (+ x (hypot x (sqrt 1.0))))) (+ (hypot x (sqrt 1.0)) x) (* (cbrt (log (+ x (hypot x (sqrt 1.0))))) (cbrt (log (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (hypot x (sqrt 1.0))))) (pow (log (+ x (hypot x (sqrt 1.0)))) 3) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ (hypot x (sqrt 1.0)) x) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma x x (* (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ (hypot x (sqrt 1.0)) x) (fma -1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (- (fma 1/4 (/ (/ 1.0 x) x) (log 2)) (fma 3/32 (/ (* 1.0 1.0) (pow x 4)) (- (log x)))) (fma -1/4 (/ (/ 1.0 x) x) (fma 3/32 (/ (* 1.0 1.0) (pow x 4)) (+ (log (/ -1 x)) (log (* 1/2 1.0))))) (+ (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (sqrt 1.0)) x) (fma 2 x (fma 1/2 (/ 1.0 x) (* -1/8 (/ (* 1.0 1.0) (pow x 3))))) (- (fma (/ (* 1.0 1.0) (pow x 3)) 1/8 (* -1/2 (/ 1.0 x))) (* 1/16 (/ (pow 1.0 3) (pow x 5)))) 4.740 * * * [progress]: adding candidates to table 4.844 * * [progress]: iteration 4 / 4 4.844 * * * [progress]: picking best candidate 4.855 * * * * [pick]: Picked # 4.855 * * * [progress]: localizing error 4.864 * * * [progress]: generating rewritten candidates 4.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.872 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.876 * * * [progress]: generating series expansions 4.876 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.878 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 4.878 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 4.878 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 4.878 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 4.878 * [taylor]: Taking taylor expansion of x in x 4.878 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 4.878 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 4.878 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 4.878 * [taylor]: Taking taylor expansion of (* x x) in x 4.878 * [taylor]: Taking taylor expansion of x in x 4.878 * [taylor]: Taking taylor expansion of x in x 4.878 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 4.878 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.878 * [taylor]: Taking taylor expansion of 1.0 in x 4.879 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.879 * [taylor]: Taking taylor expansion of 1.0 in x 4.888 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 4.888 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 4.888 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 4.888 * [taylor]: Taking taylor expansion of x in x 4.888 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 4.888 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 4.888 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 4.888 * [taylor]: Taking taylor expansion of (* x x) in x 4.888 * [taylor]: Taking taylor expansion of x in x 4.888 * [taylor]: Taking taylor expansion of x in x 4.888 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 4.888 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.888 * [taylor]: Taking taylor expansion of 1.0 in x 4.889 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.889 * [taylor]: Taking taylor expansion of 1.0 in x 5.007 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 5.007 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.007 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 5.007 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.007 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.007 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.007 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.007 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.007 * [taylor]: Taking taylor expansion of x in x 5.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.007 * [taylor]: Taking taylor expansion of x in x 5.007 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.008 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.008 * [taylor]: Taking taylor expansion of 1.0 in x 5.008 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.008 * [taylor]: Taking taylor expansion of 1.0 in x 5.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.011 * [taylor]: Taking taylor expansion of x in x 5.013 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.014 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 5.014 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.014 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.014 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.014 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.014 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.014 * [taylor]: Taking taylor expansion of x in x 5.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.014 * [taylor]: Taking taylor expansion of x in x 5.014 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.014 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.014 * [taylor]: Taking taylor expansion of 1.0 in x 5.015 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.015 * [taylor]: Taking taylor expansion of 1.0 in x 5.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.018 * [taylor]: Taking taylor expansion of x in x 5.059 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 5.059 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.059 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 5.059 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.059 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.059 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.059 * [taylor]: Taking taylor expansion of -1 in x 5.059 * [taylor]: Taking taylor expansion of x in x 5.059 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.059 * [taylor]: Taking taylor expansion of -1 in x 5.059 * [taylor]: Taking taylor expansion of x in x 5.060 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.060 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.060 * [taylor]: Taking taylor expansion of 1.0 in x 5.060 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.060 * [taylor]: Taking taylor expansion of 1.0 in x 5.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.064 * [taylor]: Taking taylor expansion of x in x 5.078 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.078 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 5.078 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.078 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.078 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.078 * [taylor]: Taking taylor expansion of -1 in x 5.078 * [taylor]: Taking taylor expansion of x in x 5.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.078 * [taylor]: Taking taylor expansion of -1 in x 5.079 * [taylor]: Taking taylor expansion of x in x 5.079 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.079 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.079 * [taylor]: Taking taylor expansion of 1.0 in x 5.080 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.080 * [taylor]: Taking taylor expansion of 1.0 in x 5.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.083 * [taylor]: Taking taylor expansion of x in x 5.191 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.192 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 5.192 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 5.192 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 5.192 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 5.192 * [taylor]: Taking taylor expansion of x in x 5.192 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 5.192 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 5.192 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 5.192 * [taylor]: Taking taylor expansion of (* x x) in x 5.192 * [taylor]: Taking taylor expansion of x in x 5.192 * [taylor]: Taking taylor expansion of x in x 5.192 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.192 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.192 * [taylor]: Taking taylor expansion of 1.0 in x 5.193 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.193 * [taylor]: Taking taylor expansion of 1.0 in x 5.202 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 5.202 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 5.202 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 5.202 * [taylor]: Taking taylor expansion of x in x 5.202 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 5.202 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 5.202 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 5.202 * [taylor]: Taking taylor expansion of (* x x) in x 5.202 * [taylor]: Taking taylor expansion of x in x 5.202 * [taylor]: Taking taylor expansion of x in x 5.202 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.202 * [taylor]: Taking taylor expansion of 1.0 in x 5.203 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.203 * [taylor]: Taking taylor expansion of 1.0 in x 5.316 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 5.316 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.316 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 5.316 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.316 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.316 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.316 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.316 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.316 * [taylor]: Taking taylor expansion of x in x 5.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.316 * [taylor]: Taking taylor expansion of x in x 5.317 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.317 * [taylor]: Taking taylor expansion of 1.0 in x 5.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.317 * [taylor]: Taking taylor expansion of 1.0 in x 5.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.321 * [taylor]: Taking taylor expansion of x in x 5.322 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.322 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 5.322 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.322 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.323 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.323 * [taylor]: Taking taylor expansion of x in x 5.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.323 * [taylor]: Taking taylor expansion of x in x 5.323 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.323 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.323 * [taylor]: Taking taylor expansion of 1.0 in x 5.324 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.324 * [taylor]: Taking taylor expansion of 1.0 in x 5.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.327 * [taylor]: Taking taylor expansion of x in x 5.373 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 5.373 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.373 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 5.373 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.373 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.374 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.374 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.374 * [taylor]: Taking taylor expansion of -1 in x 5.374 * [taylor]: Taking taylor expansion of x in x 5.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.374 * [taylor]: Taking taylor expansion of -1 in x 5.374 * [taylor]: Taking taylor expansion of x in x 5.374 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.374 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.374 * [taylor]: Taking taylor expansion of 1.0 in x 5.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.375 * [taylor]: Taking taylor expansion of 1.0 in x 5.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.392 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 5.392 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 5.392 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.392 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.392 * [taylor]: Taking taylor expansion of -1 in x 5.392 * [taylor]: Taking taylor expansion of x in x 5.392 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.392 * [taylor]: Taking taylor expansion of -1 in x 5.392 * [taylor]: Taking taylor expansion of x in x 5.392 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.393 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.393 * [taylor]: Taking taylor expansion of 1.0 in x 5.393 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.393 * [taylor]: Taking taylor expansion of 1.0 in x 5.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.397 * [taylor]: Taking taylor expansion of x in x 5.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.491 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 5.491 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.491 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 5.491 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 5.491 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 5.491 * [taylor]: Taking taylor expansion of (* x x) in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.491 * [taylor]: Taking taylor expansion of x in x 5.491 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.491 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.491 * [taylor]: Taking taylor expansion of 1.0 in x 5.492 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.492 * [taylor]: Taking taylor expansion of 1.0 in x 5.497 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 5.497 * [taylor]: Taking taylor expansion of x in x 5.497 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 5.497 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 5.497 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 5.497 * [taylor]: Taking taylor expansion of (* x x) in x 5.497 * [taylor]: Taking taylor expansion of x in x 5.497 * [taylor]: Taking taylor expansion of x in x 5.497 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.497 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.497 * [taylor]: Taking taylor expansion of 1.0 in x 5.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.498 * [taylor]: Taking taylor expansion of 1.0 in x 5.517 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 5.517 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.517 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.518 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.518 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.518 * [taylor]: Taking taylor expansion of x in x 5.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.518 * [taylor]: Taking taylor expansion of x in x 5.518 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.518 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.518 * [taylor]: Taking taylor expansion of 1.0 in x 5.519 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.519 * [taylor]: Taking taylor expansion of 1.0 in x 5.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.522 * [taylor]: Taking taylor expansion of x in x 5.522 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.522 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.522 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.523 * [taylor]: Taking taylor expansion of x in x 5.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.523 * [taylor]: Taking taylor expansion of x in x 5.523 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.523 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.523 * [taylor]: Taking taylor expansion of 1.0 in x 5.524 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.524 * [taylor]: Taking taylor expansion of 1.0 in x 5.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.527 * [taylor]: Taking taylor expansion of x in x 5.555 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 5.555 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.555 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.555 * [taylor]: Taking taylor expansion of -1 in x 5.555 * [taylor]: Taking taylor expansion of x in x 5.556 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.556 * [taylor]: Taking taylor expansion of -1 in x 5.556 * [taylor]: Taking taylor expansion of x in x 5.556 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.556 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.556 * [taylor]: Taking taylor expansion of 1.0 in x 5.557 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.557 * [taylor]: Taking taylor expansion of 1.0 in x 5.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.560 * [taylor]: Taking taylor expansion of x in x 5.560 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.560 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.560 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.560 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.560 * [taylor]: Taking taylor expansion of -1 in x 5.560 * [taylor]: Taking taylor expansion of x in x 5.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.561 * [taylor]: Taking taylor expansion of -1 in x 5.561 * [taylor]: Taking taylor expansion of x in x 5.561 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.561 * [taylor]: Taking taylor expansion of 1.0 in x 5.562 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.562 * [taylor]: Taking taylor expansion of 1.0 in x 5.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.565 * [taylor]: Taking taylor expansion of x in x 5.624 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.625 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 5.625 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 5.625 * [taylor]: Taking taylor expansion of x in x 5.625 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 5.625 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 5.625 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 5.625 * [taylor]: Taking taylor expansion of (* x x) in x 5.625 * [taylor]: Taking taylor expansion of x in x 5.625 * [taylor]: Taking taylor expansion of x in x 5.625 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.625 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.625 * [taylor]: Taking taylor expansion of 1.0 in x 5.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.626 * [taylor]: Taking taylor expansion of 1.0 in x 5.631 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 5.631 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 5.631 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 5.631 * [taylor]: Taking taylor expansion of (* x x) in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [taylor]: Taking taylor expansion of x in x 5.631 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.631 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.631 * [taylor]: Taking taylor expansion of 1.0 in x 5.632 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.632 * [taylor]: Taking taylor expansion of 1.0 in x 5.645 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 5.645 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.645 * [taylor]: Taking taylor expansion of x in x 5.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.646 * [taylor]: Taking taylor expansion of x in x 5.646 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.646 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.646 * [taylor]: Taking taylor expansion of 1.0 in x 5.647 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.647 * [taylor]: Taking taylor expansion of 1.0 in x 5.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.650 * [taylor]: Taking taylor expansion of x in x 5.650 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 5.650 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 5.650 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.650 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.650 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 5.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.650 * [taylor]: Taking taylor expansion of x in x 5.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.650 * [taylor]: Taking taylor expansion of x in x 5.651 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.651 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.651 * [taylor]: Taking taylor expansion of 1.0 in x 5.651 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.651 * [taylor]: Taking taylor expansion of 1.0 in x 5.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.655 * [taylor]: Taking taylor expansion of x in x 5.689 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 5.689 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.689 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.689 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.689 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.689 * [taylor]: Taking taylor expansion of -1 in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.689 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.689 * [taylor]: Taking taylor expansion of -1 in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.689 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.690 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.690 * [taylor]: Taking taylor expansion of 1.0 in x 5.690 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.690 * [taylor]: Taking taylor expansion of 1.0 in x 5.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.694 * [taylor]: Taking taylor expansion of x in x 5.694 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 5.694 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 5.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 5.694 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 5.694 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 5.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.694 * [taylor]: Taking taylor expansion of -1 in x 5.694 * [taylor]: Taking taylor expansion of x in x 5.694 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.694 * [taylor]: Taking taylor expansion of -1 in x 5.694 * [taylor]: Taking taylor expansion of x in x 5.695 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 5.695 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.695 * [taylor]: Taking taylor expansion of 1.0 in x 5.695 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 5.695 * [taylor]: Taking taylor expansion of 1.0 in x 5.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.699 * [taylor]: Taking taylor expansion of x in x 5.757 * * * [progress]: simplifying candidates 5.758 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (* (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))) (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log 1) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (exp (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (* (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (* (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))) (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log 1) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (exp (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (* (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 5.762 * * [simplify]: iteration 0 : 124 enodes (cost 1234 ) 5.781 * * [simplify]: iteration 1 : 287 enodes (cost 1164 ) 5.849 * * [simplify]: iteration 2 : 789 enodes (cost 1034 ) 6.328 * * [simplify]: iteration 3 : 3234 enodes (cost 1022 ) 7.121 * * [simplify]: iteration done : 5000 enodes (cost 1022 ) 7.121 * [simplify]: Simplified to: (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (fabs (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (hypot (pow x 3/2) (pow (hypot x (sqrt 1.0)) 3/2))) (log (sqrt (fma x x (* (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (+ x (hypot x (sqrt 1.0)))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (pow (log (sqrt (+ x (hypot x (sqrt 1.0))))) 3) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (fabs (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (hypot (pow x 3/2) (pow (hypot x (sqrt 1.0)) 3/2))) (log (sqrt (fma x x (* (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (+ x (hypot x (sqrt 1.0)))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (pow (log (sqrt (+ x (hypot x (sqrt 1.0))))) 3) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma x x (* (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma x x (* (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (fma (/ (pow x 3) (pow (sqrt 1.0) 3)) -1/12 (fma 1/2 (/ x (sqrt 1.0)) (log (sqrt (sqrt 1.0))))) (- (log +nan.0) (+ (/ +nan.0 x) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x))))) (+ (- (+ (log (* 1.0 +nan.0)) (log (/ -1 x))) (/ (* +nan.0 (* 1.0 1.0)) (* x x))) (* (/ 1.0 x) (- (/ +nan.0 x) +nan.0))) (fma (/ (pow x 3) (pow (sqrt 1.0) 3)) -1/12 (fma 1/2 (/ x (sqrt 1.0)) (log (sqrt (sqrt 1.0))))) (- (log +nan.0) (+ (/ +nan.0 x) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x))))) (+ (- (+ (log (* 1.0 +nan.0)) (log (/ -1 x))) (/ (* +nan.0 (* 1.0 1.0)) (* x x))) (* (/ 1.0 x) (- (/ +nan.0 x) +nan.0))) (+ (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (sqrt 1.0)) x) (fma x 2 (fma 1/2 (/ 1.0 x) (* (/ (* 1.0 1.0) (pow x 3)) -1/8))) (- (* 1/8 (/ (* 1.0 1.0) (pow x 3))) (fma 1/16 (/ (pow 1.0 3) (pow x 5)) (* 1/2 (/ 1.0 x)))) (+ (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (sqrt 1.0)) x) (fma x 2 (fma 1/2 (/ 1.0 x) (* (/ (* 1.0 1.0) (pow x 3)) -1/8))) (- (* 1/8 (/ (* 1.0 1.0) (pow x 3))) (fma 1/16 (/ (pow 1.0 3) (pow x 5)) (* 1/2 (/ 1.0 x)))) 7.122 * * * [progress]: adding candidates to table 7.423 * [progress]: [Phase 3 of 3] Extracting. 7.423 * * [regime]: Finding splitpoints for: (# # # # # # #) 7.424 * * * [regime-changes]: Trying 1 branch expressions: (x) 7.424 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 7.467 * * * [regime]: Found split indices: #