12.914 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.051 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.053 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.054 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.054 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.069 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.075 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.083 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.083 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.086 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.137 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.137 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.137 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.139 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.139 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.150 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [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 0.170 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.170 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.203 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.203 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.203 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.207 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.207 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.260 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.263 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.310 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.320 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.389 * * * [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 (+ x (sqrt 1.0))) (sqrt (- x (sqrt 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 (+ 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))) (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))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) 0.395 * * [simplify]: iteration 0 : 339 enodes (cost 436 ) 0.401 * * [simplify]: iteration 1 : 1140 enodes (cost 401 ) 0.421 * * [simplify]: iteration 2 : 5001 enodes (cost 389 ) 0.424 * [simplify]: Simplified to: (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))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (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 (+ x (sqrt 1.0))) (sqrt (- x (sqrt 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 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (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)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (* 2 (log (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))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (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))))) (+ 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))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.0625 (/ 1 (pow x 5)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) 0.424 * * * [progress]: adding candidates to table 0.556 * * [progress]: iteration 2 / 4 0.556 * * * [progress]: picking best candidate 0.563 * * * * [pick]: Picked # 0.563 * * * [progress]: localizing error 0.576 * * * [progress]: generating rewritten candidates 0.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.589 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.592 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.601 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.602 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.602 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.602 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.602 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.612 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.612 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.659 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.659 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.659 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.659 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.667 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.668 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.700 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.701 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.701 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.703 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.706 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.709 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.709 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.709 * [taylor]: Taking taylor expansion of 1.0 in x 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.709 * [taylor]: Taking taylor expansion of x in x 0.795 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.796 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.796 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.796 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.797 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.805 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.805 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.838 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.838 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.838 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.839 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.847 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.847 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.847 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.847 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.888 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.888 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.888 * [taylor]: Taking taylor expansion of 1.0 in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.894 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.894 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.894 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.942 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.943 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 0.943 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.943 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.943 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.943 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.943 * [taylor]: Taking taylor expansion of 1.0 in x 0.943 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.944 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.956 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.956 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.956 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.049 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.049 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.049 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.049 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.050 * [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 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.061 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.061 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.061 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.062 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.147 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.147 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.147 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.150 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.150 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.150 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.157 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.221 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.221 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.224 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.242 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.244 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.244 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.261 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.261 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.261 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.280 * * * [progress]: simplifying candidates 1.282 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log 1) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (exp (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (* (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)))))) (- (log -1) (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (log (/ -1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 1.290 * * [simplify]: iteration 0 : 524 enodes (cost 1161 ) 1.299 * * [simplify]: iteration 1 : 1829 enodes (cost 1044 ) 1.328 * * [simplify]: iteration 2 : 5002 enodes (cost 1027 ) 1.333 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (fma x x (- 1.0)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (- (+ (pow x 2) (fma x x (- 1.0))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (fma x x (- (fma x x (- 1.0)))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* 2 (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) 0 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ (log (+ x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))) (log (- x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (pow (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) 3) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (pow (sqrt (+ x (sqrt 1.0))) 3) (fabs (cbrt (+ x (sqrt 1.0)))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) 1 (sqrt (+ x (sqrt 1.0))) 1 (sqrt (+ x (sqrt 1.0))) (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (hypot x (sqrt (* -1 (pow (sqrt 1.0) 2)))) (sqrt (- x (sqrt 1.0))) 1/2 (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (- (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))))) (- (- x (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (fma (- +nan.0) (/ 1 (pow x 2)) (fma +nan.0 (/ 1 x) (fma (- +nan.0) (/ (sqrt 1.0) x) +nan.0))))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (- (* 2 x) (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (/ 1 x))) (+ (- (log -1) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (log (/ -1 x)))) (* +nan.0 (- (/ 1 (pow x 2)) (/ 1 x)))) (fma (* 1/2 x) (sqrt (/ 1 (sqrt 1.0))) (- (sqrt (sqrt 1.0)) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) 1.337 * * * [progress]: adding candidates to table 1.596 * * [progress]: iteration 3 / 4 1.596 * * * [progress]: picking best candidate 1.601 * * * * [pick]: Picked # 1.601 * * * [progress]: localizing error 1.613 * * * [progress]: generating rewritten candidates 1.613 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.614 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.615 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.620 * * * [progress]: generating series expansions 1.620 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.621 * [approximate]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) in (x) around 0 1.621 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) in x 1.621 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) x) 1.621 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) in x 1.621 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 1.621 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.627 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) in x 1.630 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) x) 1.630 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) in x 1.630 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 1.630 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.636 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.636 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.636 * [taylor]: Taking taylor expansion of 1.0 in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.758 * [approximate]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 1.758 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 1.758 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 1.758 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 1.758 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.760 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.761 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 1.763 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 1.763 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 1.763 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.763 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.766 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.766 * [taylor]: Taking taylor expansion of x in x 1.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.768 * [taylor]: Taking taylor expansion of x in x 1.811 * [approximate]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in (x) around 0 1.811 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 1.811 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 1.811 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.811 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.811 * [taylor]: Taking taylor expansion of 1.0 in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.814 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.817 * [taylor]: Taking taylor expansion of -1 in x 1.817 * [taylor]: Taking taylor expansion of x in x 1.817 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 1.817 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 1.817 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.817 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.817 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.817 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.817 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.817 * [taylor]: Taking taylor expansion of 1.0 in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.820 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.820 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.823 * [taylor]: Taking taylor expansion of -1 in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.866 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.867 * [approximate]: Taking taylor expansion of (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) in (x) around 0 1.867 * [taylor]: Taking taylor expansion of (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) in x 1.867 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) in x 1.867 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) x) 1.867 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) in x 1.867 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 1.867 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.867 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.867 * [taylor]: Taking taylor expansion of 1.0 in x 1.872 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.872 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.873 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) in x 1.883 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) in x 1.883 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) x) 1.883 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 1.883 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.883 * [taylor]: Taking taylor expansion of x in x 1.883 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.888 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.888 * [taylor]: Taking taylor expansion of 1.0 in x 1.891 * [taylor]: Taking taylor expansion of x in x 2.130 * [approximate]: Taking taylor expansion of (log (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x))) in (x) around 0 2.130 * [taylor]: Taking taylor expansion of (log (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x))) in x 2.130 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 2.130 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 2.130 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 2.130 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 2.130 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.130 * [taylor]: Taking taylor expansion of 1.0 in x 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 2.133 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.133 * [taylor]: Taking taylor expansion of 1.0 in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (log (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x))) in x 2.137 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 2.137 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 2.137 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 2.137 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 2.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.137 * [taylor]: Taking taylor expansion of 1.0 in x 2.139 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 2.139 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.139 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.139 * [taylor]: Taking taylor expansion of 1.0 in x 2.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.140 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.202 * [approximate]: Taking taylor expansion of (log (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x))) in (x) around 0 2.202 * [taylor]: Taking taylor expansion of (log (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x))) in x 2.202 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 2.202 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 2.202 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.202 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.202 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.202 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.202 * [taylor]: Taking taylor expansion of 1.0 in x 2.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.203 * [taylor]: Taking taylor expansion of x in x 2.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.205 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.205 * [taylor]: Taking taylor expansion of 1.0 in x 2.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.206 * [taylor]: Taking taylor expansion of x in x 2.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.208 * [taylor]: Taking taylor expansion of -1 in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.209 * [taylor]: Taking taylor expansion of (log (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x))) in x 2.210 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 2.210 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 2.210 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.210 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.210 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.210 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.210 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.212 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.212 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.212 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.213 * [taylor]: Taking taylor expansion of x in x 2.215 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.215 * [taylor]: Taking taylor expansion of -1 in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.282 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 2.282 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 2.282 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 2.282 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.282 * [taylor]: Taking taylor expansion of x in x 2.282 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.282 * [taylor]: Taking taylor expansion of 1.0 in x 2.286 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 2.286 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.286 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.286 * [taylor]: Taking taylor expansion of 1.0 in x 2.304 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 2.304 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 2.304 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.304 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.304 * [taylor]: Taking taylor expansion of 1.0 in x 2.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.306 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 2.306 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.306 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.306 * [taylor]: Taking taylor expansion of 1.0 in x 2.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.307 * [taylor]: Taking taylor expansion of x in x 2.323 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 2.323 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.323 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.323 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.323 * [taylor]: Taking taylor expansion of 1.0 in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.324 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.325 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.325 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.326 * [taylor]: Taking taylor expansion of x in x 2.349 * * * [progress]: simplifying candidates 2.350 * [simplify]: Simplifying using # : (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (* (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (expm1 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log1p (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (log (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log 1) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (* (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (* (* (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (sqrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (sqrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (- (+ (* 1/2 (* (/ x (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* (sqrt (sqrt 1.0)) (sqrt (- (sqrt 1.0)))) (+ (* 1/2 (* (* x (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ x (* 1/4 (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))))))) (+ (* 1/8 (* (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))) (* 1/8 (* (* (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* (sqrt (sqrt 1.0)) (sqrt (- (sqrt 1.0))))) (+ (* (/ x (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0)))) (+ (* 1/2 (/ x (pow (sqrt (- (sqrt 1.0))) 2))) (* 1/2 (/ x (sqrt 1.0)))))) (+ (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (sqrt (- (sqrt 1.0))) 2)))) (+ (* 1/2 (* (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/2 (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/4 (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 4)))))))) (- (+ (log (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))))) (- (log -1) (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (log (/ -1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 2.356 * * [simplify]: iteration 0 : 423 enodes (cost 600 ) 2.363 * * [simplify]: iteration 1 : 1488 enodes (cost 529 ) 2.390 * * [simplify]: iteration 2 : 5002 enodes (cost 511 ) 2.393 * [simplify]: Simplified to: (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (expm1 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log1p (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (* 2 (log (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (log (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) 0 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (* (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (pow (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) 3) (sqrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (sqrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (pow (sqrt (+ x (sqrt 1.0))) 3) (fabs (cbrt (+ x (sqrt 1.0)))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) 1/2 (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (+ (+ (* (sqrt (/ 1 (sqrt 1.0))) (+ (* 1/2 (* x (sqrt (- (sqrt 1.0))))) (* 1/4 (/ (pow x 2) (sqrt (- (sqrt 1.0))))))) x) (- (* (sqrt (sqrt 1.0)) (+ (* 1/2 (/ x (sqrt (- (sqrt 1.0))))) (sqrt (- (sqrt 1.0))))) (* (fma (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)) (* (* (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) 1/8))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) (- (fma (/ x (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (/ (* x 1/2) (- (sqrt 1.0))))) (- (+ (+ (/ (* 1/4 (pow x 2)) 1.0) (* 1/2 (+ (* (/ x (- (sqrt 1.0))) (/ x (sqrt 1.0))) (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (+ (/ (sqrt (/ 1 (sqrt 1.0))) (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))))) (* 1/4 (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 4)))) (log (* (sqrt (sqrt 1.0)) (sqrt (- (sqrt 1.0))))))) (+ (+ (log x) (* (/ +nan.0 x) (- (/ (sqrt 1.0) x) (/ 1 x)))) (/ +nan.0 x)) (- (+ (- (log -1) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (log (/ -1 x)))) (/ +nan.0 (pow x 2))) (/ +nan.0 x)) (fma (* 1/2 x) (sqrt (/ 1 (sqrt 1.0))) (- (sqrt (sqrt 1.0)) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) 2.394 * * * [progress]: adding candidates to table 2.541 * * [progress]: iteration 4 / 4 2.541 * * * [progress]: picking best candidate 2.544 * * * * [pick]: Picked # 2.544 * * * [progress]: localizing error 2.555 * * * [progress]: generating rewritten candidates 2.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 2.560 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.561 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.567 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.570 * * * [progress]: generating series expansions 2.570 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 2.570 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 2.570 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.570 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.570 * [taylor]: Taking taylor expansion of 1.0 in x 2.573 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.573 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.573 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.573 * [taylor]: Taking taylor expansion of x in x 2.573 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.591 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.592 * [taylor]: Taking taylor expansion of 1.0 in x 2.594 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [taylor]: Taking taylor expansion of 1.0 in x 2.606 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 2.606 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.606 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.607 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.609 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.610 * [taylor]: Taking taylor expansion of 1.0 in x 2.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.627 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in (x) around 0 2.627 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 2.627 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 2.627 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 2.627 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.627 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x))) 2.627 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.627 * [taylor]: Taking taylor expansion of 1 in x 2.627 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.627 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.627 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.627 * [taylor]: Taking taylor expansion of x in x 2.627 * [taylor]: Taking taylor expansion of 1.0 in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.634 * [taylor]: Taking taylor expansion of 1 in x 2.634 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 2.634 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 2.634 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 2.634 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.635 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x))) 2.635 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.635 * [taylor]: Taking taylor expansion of 1 in x 2.635 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.635 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.635 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.635 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.635 * [taylor]: Taking taylor expansion of x in x 2.635 * [taylor]: Taking taylor expansion of 1.0 in x 2.637 * [taylor]: Taking taylor expansion of x in x 2.642 * [taylor]: Taking taylor expansion of 1 in x 2.706 * [approximate]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in (x) around 0 2.706 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.707 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 2.707 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.707 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.707 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 2.707 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.707 * [taylor]: Taking taylor expansion of 1 in x 2.707 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.707 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.707 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.709 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of 1 in x 2.712 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.712 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 2.712 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.712 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.712 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 2.712 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.712 * [taylor]: Taking taylor expansion of 1 in x 2.712 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.712 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.712 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.715 * [taylor]: Taking taylor expansion of x in x 2.717 * [taylor]: Taking taylor expansion of 1 in x 2.738 * [approximate]: Taking taylor expansion of (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in (x) around 0 2.738 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.738 * [taylor]: Rewrote expression to (- (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 2.738 * [taylor]: Taking taylor expansion of (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.738 * [taylor]: Taking taylor expansion of (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.739 * [taylor]: Rewrote expression to (log (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 2.739 * [taylor]: Taking taylor expansion of (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.739 * [taylor]: Taking taylor expansion of 1 in x 2.739 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.739 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.739 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.739 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.739 * [taylor]: Taking taylor expansion of x in x 2.739 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.753 * [taylor]: Taking taylor expansion of 1 in x 2.753 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.753 * [taylor]: Rewrote expression to (- (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 2.753 * [taylor]: Taking taylor expansion of (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 2.753 * [taylor]: Taking taylor expansion of (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.753 * [taylor]: Rewrote expression to (log (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 2.753 * [taylor]: Taking taylor expansion of (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.753 * [taylor]: Taking taylor expansion of 1 in x 2.753 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.753 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.754 * [taylor]: Taking taylor expansion of 1.0 in x 2.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.768 * [taylor]: Taking taylor expansion of 1 in x 2.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.926 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 2.926 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.926 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.926 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.926 * [taylor]: Taking taylor expansion of x in x 2.926 * [taylor]: Taking taylor expansion of 1.0 in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.929 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.929 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.929 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.929 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of 1.0 in x 2.931 * [taylor]: Taking taylor expansion of x in x 2.940 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 2.940 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.940 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.940 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.941 * [taylor]: Taking taylor expansion of 1.0 in x 2.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.943 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.943 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.943 * [taylor]: Taking taylor expansion of x in x 2.950 * [taylor]: Taking taylor expansion of 1.0 in x 2.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.953 * [taylor]: Taking taylor expansion of x in x 2.967 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 2.967 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.967 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.967 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.967 * [taylor]: Taking taylor expansion of x in x 2.968 * [taylor]: Taking taylor expansion of 1.0 in x 2.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.970 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.970 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.970 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.970 * [taylor]: Taking taylor expansion of x in x 2.970 * [taylor]: Taking taylor expansion of 1.0 in x 2.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.972 * [taylor]: Taking taylor expansion of x in x 2.998 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.998 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x)))) in (x) around 0 2.999 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x)))) in x 2.999 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 2.999 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 2.999 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 2.999 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.999 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x))) 2.999 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.999 * [taylor]: Taking taylor expansion of 1 in x 2.999 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.999 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.999 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.999 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.999 * [taylor]: Taking taylor expansion of x in x 2.999 * [taylor]: Taking taylor expansion of 1.0 in x 3.001 * [taylor]: Taking taylor expansion of x in x 3.006 * [taylor]: Taking taylor expansion of 1 in x 3.009 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x)))) in x 3.009 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 3.009 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 3.009 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (pow x 2) 1.0)) x))) in x 3.009 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (pow x 2) 1.0)) x)) in x 3.009 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x))) 3.009 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (pow x 2) 1.0)) x)) in x 3.009 * [taylor]: Taking taylor expansion of 1 in x 3.009 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 3.009 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 3.009 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 3.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.009 * [taylor]: Taking taylor expansion of x in x 3.009 * [taylor]: Taking taylor expansion of 1.0 in x 3.011 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of 1 in x 3.187 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in (x) around 0 3.187 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 3.187 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.187 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 3.187 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.187 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.187 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 3.187 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.187 * [taylor]: Taking taylor expansion of 1 in x 3.187 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 3.187 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 3.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 3.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.187 * [taylor]: Taking taylor expansion of x in x 3.188 * [taylor]: Taking taylor expansion of 1.0 in x 3.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.192 * [taylor]: Taking taylor expansion of 1 in x 3.193 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 3.193 * [taylor]: Taking taylor expansion of (expm1 (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.193 * [taylor]: Rewrote expression to (- (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 3.193 * [taylor]: Taking taylor expansion of (exp (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.193 * [taylor]: Taking taylor expansion of (log1p (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.193 * [taylor]: Rewrote expression to (log (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 3.193 * [taylor]: Taking taylor expansion of (+ 1 (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.193 * [taylor]: Taking taylor expansion of 1 in x 3.193 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 3.193 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 3.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.193 * [taylor]: Taking taylor expansion of x in x 3.194 * [taylor]: Taking taylor expansion of 1.0 in x 3.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.202 * [taylor]: Taking taylor expansion of x in x 3.205 * [taylor]: Taking taylor expansion of 1 in x 3.232 * [approximate]: Taking taylor expansion of (log (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in (x) around 0 3.233 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 3.233 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.233 * [taylor]: Rewrote expression to (- (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 3.233 * [taylor]: Taking taylor expansion of (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.233 * [taylor]: Taking taylor expansion of (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.233 * [taylor]: Rewrote expression to (log (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 3.233 * [taylor]: Taking taylor expansion of (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.233 * [taylor]: Taking taylor expansion of 1 in x 3.233 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 3.233 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 3.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.233 * [taylor]: Taking taylor expansion of x in x 3.233 * [taylor]: Taking taylor expansion of 1.0 in x 3.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.235 * [taylor]: Taking taylor expansion of x in x 3.247 * [taylor]: Taking taylor expansion of 1 in x 3.251 * [taylor]: Taking taylor expansion of (log (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 3.251 * [taylor]: Taking taylor expansion of (expm1 (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.251 * [taylor]: Rewrote expression to (- (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 3.251 * [taylor]: Taking taylor expansion of (exp (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 3.251 * [taylor]: Taking taylor expansion of (log1p (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.251 * [taylor]: Rewrote expression to (log (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 3.251 * [taylor]: Taking taylor expansion of (+ 1 (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 3.251 * [taylor]: Taking taylor expansion of 1 in x 3.251 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 3.251 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 3.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.252 * [taylor]: Taking taylor expansion of 1.0 in x 3.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.254 * [taylor]: Taking taylor expansion of x in x 3.266 * [taylor]: Taking taylor expansion of 1 in x 3.470 * * * [progress]: simplifying candidates 3.471 * [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 (+ x (sqrt 1.0))) (sqrt (- x (sqrt 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))) (exp (log1p (+ x (sqrt (- (* x x) 1.0))))) (expm1 (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (log1p (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (exp (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (* (cbrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (cbrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (* (* (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))) (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (sqrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (sqrt (expm1 (log1p (+ 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))) (expm1 (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log1p (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log (* (cbrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))))) (log (cbrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log (sqrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log (sqrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log 1) (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (log (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (exp (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (* (cbrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (cbrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))))) (cbrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (* (* (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))) (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (sqrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (sqrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (+ (exp (- (log 2) (log (/ 1 x)))) (* 1/2 (/ (exp (- (log 2) (log (/ 1 x)))) x))) (+ 1 (* 0.25 (/ (exp (- (log 2) (log (/ 1 x)))) (pow x 2))))) (+ (* 0.12499999999999999 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (+ (log (- (exp (- (log 2) (log (/ 1 x)))) 1)) (* 1/2 (/ (exp (- (log 2) (log (/ 1 x)))) (* x (- (exp (- (log 2) (log (/ 1 x)))) 1))))) (+ (* 0.25 (/ (exp (- (log 2) (log (/ 1 x)))) (* (pow x 2) (- (exp (- (log 2) (log (/ 1 x)))) 1)))) (* 1/8 (/ (pow (exp (- (log 2) (log (/ 1 x)))) 2) (* (pow x 2) (pow (- (exp (- (log 2) (log (/ 1 x)))) 1) 2)))))) (- (+ (* 0.24999999999999997 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.007812499999999997 (/ 1 (* (pow x 4) (pow -0.5 2))))) 3.476 * * [simplify]: iteration 0 : 417 enodes (cost 574 ) 3.483 * * [simplify]: iteration 1 : 1441 enodes (cost 518 ) 3.507 * * [simplify]: iteration 2 : 5002 enodes (cost 480 ) 3.510 * [simplify]: Simplified to: (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))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (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 (+ x (sqrt 1.0))) (sqrt (- x (sqrt 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))) (exp (log1p (+ x (sqrt (- (* x x) 1.0))))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (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)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (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)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log1p (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (log (sqrt (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (cbrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0)))))))) (cbrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (sqrt (log (expm1 (log1p (+ x (sqrt (- (* x x) 1.0))))))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (- (+ (/ 2 (/ 1 x)) (* (* (/ 2 x) x) (- 1/2 (/ 0.25 x)))) 1) (fma 0.12499999999999999 (/ 1 (pow x 3)) (fma 0.0625 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.0625 (/ 1 (pow x 5)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log (- (exp (- (log 2) (log (/ 1 x)))) 1)) (+ (* (/ (exp (- (log 2) (log (/ 1 x)))) (expm1 (- (log 2) (log (/ 1 x))))) (- (/ 1/2 x) (/ 0.25 (pow x 2)))) (* (- 1/8) (* (/ (/ 2 (/ 1 x)) (* (pow (expm1 (- (log 2) (log (/ 1 x)))) 2) x)) (* (/ 2 x) x))))) (+ (fma 0.24999999999999997 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.007812499999999997 (pow -0.5 2))))) 3.511 * * * [progress]: adding candidates to table 3.700 * [progress]: [Phase 3 of 3] Extracting. 3.700 * * [regime]: Finding splitpoints for: (# #) 3.700 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) x) 3.700 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# #) 3.715 * * * * [regimes]: Trying to branch on x from (# #) 3.726 * * * [regime]: Found split indices: #