7.194 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.066 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.069 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.071 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.071 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.088 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.094 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.146 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.146 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.148 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.196 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.247 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.323 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.323 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.336 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.336 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of 1.0 in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.355 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.355 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.357 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1.0 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.384 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (exp (log (+ x (sqrt (+ (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (* (* (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0))))) (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (* (exp x) (exp (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ x (sqrt (+ (* x x) 1.0)))) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (* (* (+ x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0)))) (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0))))) (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)))) (- x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 0.25 (/ 1 (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 0.09375 (/ 1 (pow x 4))))) (- (+ (log 0.5) (+ (* 0.125 (/ 1 (pow x 4))) (log (/ -1 x)))) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.0078125 (/ 1 (* (pow x 4) (pow 0.5 2)))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (pow x 5))))) 0.391 * * [simplify]: iteration 0 : 331 enodes (cost 422 ) 0.397 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.418 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.421 * [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 (hypot x (sqrt 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) (hypot x (sqrt 1.0)) (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (* 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))))) (+ (hypot x (sqrt 1.0)) x) (* (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))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (* (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 1.0) (* x (- x (sqrt (+ (* x x) 1.0))))) (- 0 1.0) (- x (sqrt (+ (* x x) 1.0))) (+ (hypot x (sqrt 1.0)) x) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))) (- (- (/ 0.125 (pow x 3)) x) (/ 0.5 x)) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))) (- (fma 0.125 (/ 1 (pow x 4)) (log (/ -1 x))) (- (fma 0.25 (/ 1 (pow x 2)) (/ (/ 0.0078125 (pow 0.5 2)) (pow x 4))) (log 0.5))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 0.125) (/ 1 (pow x 3)) (fma x 2 (/ 0.5 x))) (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))) 0.421 * * * [progress]: adding candidates to table 0.596 * * [progress]: iteration 2 / 4 0.596 * * * [progress]: picking best candidate 0.608 * * * * [pick]: Picked # 0.608 * * * [progress]: localizing error 0.622 * * * [progress]: generating rewritten candidates 0.622 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.676 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.716 * * * [progress]: generating series expansions 0.716 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.717 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.717 * [taylor]: Taking taylor expansion of 1/6 in x 0.717 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.717 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.722 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.722 * [taylor]: Taking taylor expansion of 1/6 in x 0.722 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.722 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.722 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.769 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.769 * [taylor]: Taking taylor expansion of 1/6 in x 0.769 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.769 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.775 * [taylor]: Taking taylor expansion of 1/6 in x 0.775 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.775 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.775 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.814 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.814 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.814 * [taylor]: Taking taylor expansion of -1/6 in x 0.814 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.814 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.814 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.814 * [taylor]: Taking taylor expansion of 1.0 in x 0.820 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.820 * [taylor]: Taking taylor expansion of -1/6 in x 0.820 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.820 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.820 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.863 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.863 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.863 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.863 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.866 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.866 * [taylor]: Taking taylor expansion of 1/6 in x 0.866 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.866 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.870 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.870 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.873 * [taylor]: Taking taylor expansion of 1/6 in x 0.873 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.873 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.873 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 0.904 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.906 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.909 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.909 * [taylor]: Taking taylor expansion of 1/6 in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.909 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.909 * [taylor]: Taking taylor expansion of 1.0 in x 0.914 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.914 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 0.914 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.914 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.915 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.918 * [taylor]: Taking taylor expansion of 1/6 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.918 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.918 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.918 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in (x) around 0 0.963 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.963 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.964 * [taylor]: Taking taylor expansion of 1/6 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.965 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.965 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.970 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.970 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 0.973 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 0.973 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.973 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.975 * [taylor]: Taking taylor expansion of 1/6 in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.975 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.975 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.975 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 0.980 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * * * [progress]: simplifying candidates 1.025 * [simplify]: Simplifying using # : (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (log (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (exp (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (/ (* (* (pow x 3) (pow x 3)) (pow x 3)) (* (* (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3)) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (* (* (/ (pow x 3) (pow (sqrt 1.0) 3)) (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (* (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))) (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))))) (* 1/6 (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt 1.0))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) 1)) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow 1 3))) (* 1/6 (/ (pow (sqrt x) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (sqrt x) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow 1 3))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (sqrt x) 3) 1)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow 1 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow 1 3))) (* 1/6 (/ (pow 1 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow 1 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow 1 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow 1 3))) (* 1/6 (/ (pow 1 3) (sqrt 1.0))) (* 1/6 (/ (pow 1 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow 1 3) 1)) (* 1/6 (/ (pow 1 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (* x x) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (* x x) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (* x x) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (* x x) (pow (sqrt 1) 3))) (* 1/6 (/ (* x x) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (* x x) (pow 1 3))) (* 1/6 (/ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (* x x) (* (cbrt (pow (sqrt 1.0) 3)) 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1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (sqrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (* (+ (pow (log (sqrt 1.0)) 3) (pow (/ x (sqrt 1.0)) 3)) (pow (sqrt 1.0) 3)) (* (+ (* (log (sqrt 1.0)) (log (sqrt 1.0))) (- (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (* (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* 1/6 (pow x 3)))) (* (+ (* (log (sqrt 1.0)) (log (sqrt 1.0))) (- (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (* (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (pow (sqrt 1.0) 3)) (- (* (- (* (log (sqrt 1.0)) (log (sqrt 1.0))) (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0)))) (pow (sqrt 1.0) 3)) (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (pow x 3)))) (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (pow (sqrt 1.0) 3)) (- (pow (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) 3) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3)) (+ (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (+ (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 1.039 * * [simplify]: iteration 0 : 888 enodes (cost 2345 ) 1.056 * * [simplify]: iteration 1 : 4813 enodes (cost 1909 ) 1.131 * * [simplify]: iteration 2 : 5001 enodes (cost 1888 ) 1.144 * [simplify]: Simplified to: (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (pow (exp (pow (/ x (sqrt 1.0)) 3)) 1/6) (* 1/216 (pow (pow (/ x (sqrt 1.0)) 3) 3)) (* 1/216 (pow (pow (/ x (sqrt 1.0)) 3) 3)) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/216 (pow (pow (/ x (sqrt 1.0)) 3) 3)) (sqrt (* 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(sqrt 1.0) 3)) (fma (- 1/216) (pow (pow (/ x (sqrt 1.0)) 3) 3) (pow (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) 3)) (fma (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (+ (* (- 1/36) (pow (/ x (sqrt 1.0)) 6)) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (fma (pow (/ x (sqrt 1.0)) 3) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (- 1/6) (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (fma (- (pow (/ x (sqrt 1.0)) 3)) 1/6 (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) 1.145 * * * [progress]: adding candidates to table 1.614 * * [progress]: iteration 3 / 4 1.614 * * * [progress]: picking best candidate 1.622 * * * * [pick]: Picked # 1.622 * * * [progress]: localizing error 1.628 * * * [progress]: generating rewritten candidates 1.628 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.631 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.634 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.636 * * * [progress]: generating series expansions 1.636 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.636 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.636 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.636 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.636 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.636 * [taylor]: Taking taylor expansion of (* x x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.637 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.644 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.644 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.644 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.644 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.644 * [taylor]: Taking taylor expansion of (* x x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.644 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.644 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.699 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.699 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.699 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.699 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.699 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.699 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.700 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.700 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.704 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.704 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.704 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.706 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.706 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.709 * [taylor]: Taking taylor expansion of x in x 1.782 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.782 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.782 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.782 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.782 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.782 * [taylor]: Taking taylor expansion of -1 in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.782 * [taylor]: Taking taylor expansion of -1 in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.783 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.783 * [taylor]: Taking taylor expansion of 1.0 in x 1.783 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.783 * [taylor]: Taking taylor expansion of 1.0 in x 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.787 * [taylor]: Taking taylor expansion of x in x 1.798 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.798 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.798 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.798 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.798 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.798 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.798 * [taylor]: Taking taylor expansion of -1 in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.799 * [taylor]: Taking taylor expansion of -1 in x 1.799 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.799 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.799 * [taylor]: Taking taylor expansion of 1.0 in x 1.800 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.800 * [taylor]: Taking taylor expansion of 1.0 in x 1.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.803 * [taylor]: Taking taylor expansion of x in x 1.917 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.918 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 1.918 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.918 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.918 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.918 * [taylor]: Taking taylor expansion of (* x x) in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.918 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.918 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.919 * [taylor]: Taking taylor expansion of 1.0 in x 1.930 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.931 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.931 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.931 * [taylor]: Taking taylor expansion of (* x x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.932 * [taylor]: Taking taylor expansion of 1.0 in x 1.946 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.946 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.946 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.946 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.947 * [taylor]: Taking taylor expansion of x in x 1.947 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.951 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.952 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.952 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.952 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.952 * [taylor]: Taking taylor expansion of x in x 1.953 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.953 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.987 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.987 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.987 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.987 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.987 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.987 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.987 * [taylor]: Taking taylor expansion of -1 in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.987 * [taylor]: Taking taylor expansion of -1 in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.988 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.988 * [taylor]: Taking taylor expansion of 1.0 in x 1.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.992 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.992 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.992 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.992 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.993 * [taylor]: Taking taylor expansion of -1 in x 1.993 * [taylor]: Taking taylor expansion of x in x 1.993 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.993 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.994 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 2.060 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 2.060 * [approximate]: Taking taylor expansion of (hypot x (sqrt 1.0)) in (x) around 0 2.060 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.060 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.060 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.060 * [taylor]: Taking taylor expansion of (* x x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.061 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.061 * [taylor]: Taking taylor expansion of 1.0 in x 2.067 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.067 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.067 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.067 * [taylor]: Taking taylor expansion of (* x x) in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.067 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.067 * [taylor]: Taking taylor expansion of 1.0 in x 2.068 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.068 * [taylor]: Taking taylor expansion of 1.0 in x 2.092 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in (x) around 0 2.092 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.092 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.094 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.094 * [taylor]: Taking taylor expansion of 1.0 in x 2.097 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.097 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.097 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.097 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.098 * [taylor]: Taking taylor expansion of x in x 2.098 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.098 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.098 * [taylor]: Taking taylor expansion of 1.0 in x 2.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.099 * [taylor]: Taking taylor expansion of 1.0 in x 2.131 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in (x) around 0 2.131 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.131 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.131 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.131 * [taylor]: Taking taylor expansion of -1 in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.132 * [taylor]: Taking taylor expansion of -1 in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.132 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.132 * [taylor]: Taking taylor expansion of 1.0 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 2.136 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.136 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.136 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.136 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.136 * [taylor]: Taking taylor expansion of -1 in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.137 * [taylor]: Taking taylor expansion of -1 in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) 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 2.138 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.164 * * * [progress]: simplifying candidates 2.165 * [simplify]: Simplifying using # : (expm1 (log (+ x (hypot x (sqrt 1.0))))) (log1p (log (+ x (hypot x (sqrt 1.0))))) (log (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (cbrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log 1) (log (+ x (hypot x (sqrt 1.0)))) (log 1) (log (+ x (hypot x (sqrt 1.0)))) (log (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3))) (log (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0)))))) (log (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))))) (log (- x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (+ x (hypot x (sqrt 1.0))))) (exp (log (+ x (hypot x (sqrt 1.0))))) (* (cbrt (log (+ x (hypot x (sqrt 1.0))))) (cbrt (log (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (hypot x (sqrt 1.0))))) (* (* (log (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (hypot x (sqrt 1.0))) (log1p (hypot x (sqrt 1.0))) (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) (log (hypot x (sqrt 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (hypot x (sqrt 1.0))) (cbrt (hypot x (sqrt 1.0)))) (cbrt (hypot x (sqrt 1.0))) (* (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.169 * * [simplify]: iteration 0 : 268 enodes (cost 349 ) 2.174 * * [simplify]: iteration 1 : 886 enodes (cost 321 ) 2.189 * * [simplify]: iteration 2 : 3696 enodes (cost 305 ) 2.249 * * [simplify]: iteration 3 : 5001 enodes (cost 303 ) 2.251 * [simplify]: Simplified to: (expm1 (log (+ x (hypot x (sqrt 1.0))))) (log1p (log (+ x (hypot x (sqrt 1.0))))) (* 2 (log (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (cbrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) 0 (log (+ x (hypot x (sqrt 1.0)))) 0 (log (+ x (hypot x (sqrt 1.0)))) (log (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3))) (log (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0)))))) (log (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))))) (log (- x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (+ x (hypot x (sqrt 1.0))))) (+ x (hypot x (sqrt 1.0))) (* (cbrt (log (+ x (hypot x (sqrt 1.0))))) (cbrt (log (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (hypot x (sqrt 1.0))))) (pow (log (+ x (hypot x (sqrt 1.0)))) 3) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (sqrt (log (+ x (hypot x (sqrt 1.0))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x) (pow x 2)) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (hypot x (sqrt 1.0))) (log1p (hypot x (sqrt 1.0))) (fma x x 1.0) (log (hypot x (sqrt 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (hypot x (sqrt 1.0))) (cbrt (hypot x (sqrt 1.0)))) (cbrt (hypot x (sqrt 1.0))) (pow (hypot x (sqrt 1.0)) 3) (sqrt (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (fma (/ 1/4 x) (/ 1.0 x) (log 2)) (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4)))) (+ (fma 3/32 (/ 1.0 (/ (pow x 4) 1.0)) (log (/ -1 x))) (- (log (* 1/2 (pow (sqrt 1.0) 2))) (/ (* 1/4 1.0) (pow x 2)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ 1.0 (/ x 1/2)))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma 1/2 (/ 1.0 x) x)) (- (- (/ (* (* 1.0 1.0) 1/8) (pow x 3)) x) (/ 1.0 (/ x 1/2))) 2.251 * * * [progress]: adding candidates to table 2.383 * * [progress]: iteration 4 / 4 2.383 * * * [progress]: picking best candidate 2.394 * * * * [pick]: Picked # 2.394 * * * [progress]: localizing error 2.403 * * * [progress]: generating rewritten candidates 2.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.414 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.419 * * * [progress]: generating series expansions 2.420 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.420 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.420 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.420 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.420 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.420 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.420 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.420 * [taylor]: Taking taylor expansion of (* x x) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.420 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.421 * [taylor]: Taking taylor expansion of 1.0 in x 2.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.421 * [taylor]: Taking taylor expansion of 1.0 in x 2.430 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.431 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.431 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.431 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.431 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.431 * [taylor]: Taking taylor expansion of (* x x) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.431 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.432 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.432 * [taylor]: Taking taylor expansion of 1.0 in x 2.544 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.544 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.544 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.544 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.544 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.545 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.545 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.545 * [taylor]: Taking taylor expansion of x in x 2.545 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.545 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.545 * [taylor]: Taking taylor expansion of 1.0 in x 2.546 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.546 * [taylor]: Taking taylor expansion of 1.0 in x 2.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.549 * [taylor]: Taking taylor expansion of x in x 2.551 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.551 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.551 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.552 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.552 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.552 * [taylor]: Taking taylor expansion of x in x 2.552 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.552 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.552 * [taylor]: Taking taylor expansion of 1.0 in x 2.553 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.553 * [taylor]: Taking taylor expansion of 1.0 in x 2.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.562 * [taylor]: Taking taylor expansion of x in x 2.604 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.604 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.604 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.604 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.604 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.604 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.604 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.604 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.604 * [taylor]: Taking taylor expansion of -1 in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.604 * [taylor]: Taking taylor expansion of -1 in x 2.604 * [taylor]: Taking taylor expansion of x in x 2.605 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.605 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.605 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.605 * [taylor]: Taking taylor expansion of 1.0 in x 2.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.609 * [taylor]: Taking taylor expansion of x in x 2.623 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.623 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.623 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.623 * [taylor]: Taking taylor expansion of -1 in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.623 * [taylor]: Taking taylor expansion of -1 in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.624 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.624 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.624 * [taylor]: Taking taylor expansion of 1.0 in x 2.624 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.624 * [taylor]: Taking taylor expansion of 1.0 in x 2.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.732 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.733 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.733 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.733 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.733 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.733 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.733 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.733 * [taylor]: Taking taylor expansion of (* x x) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.733 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.733 * [taylor]: Taking taylor expansion of 1.0 in x 2.734 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.734 * [taylor]: Taking taylor expansion of 1.0 in x 2.743 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.743 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.743 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.743 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.743 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.743 * [taylor]: Taking taylor expansion of (* x x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.744 * [taylor]: Taking taylor expansion of 1.0 in x 2.860 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.860 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.860 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.860 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.860 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.860 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.861 * [taylor]: Taking taylor expansion of 1.0 in x 2.861 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.861 * [taylor]: Taking taylor expansion of 1.0 in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.866 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.866 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.866 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.866 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.867 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.867 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.867 * [taylor]: Taking taylor expansion of x in x 2.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.867 * [taylor]: Taking taylor expansion of x in x 2.867 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.867 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.867 * [taylor]: Taking taylor expansion of 1.0 in x 2.868 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.868 * [taylor]: Taking taylor expansion of 1.0 in x 2.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.871 * [taylor]: Taking taylor expansion of x in x 2.920 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.920 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.920 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.920 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.920 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.920 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.920 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.920 * [taylor]: Taking taylor expansion of -1 in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.921 * [taylor]: Taking taylor expansion of -1 in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.921 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.921 * [taylor]: Taking taylor expansion of 1.0 in x 2.922 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.922 * [taylor]: Taking taylor expansion of 1.0 in x 2.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.939 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.939 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.939 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.939 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.940 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.940 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.940 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.940 * [taylor]: Taking taylor expansion of -1 in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.940 * [taylor]: Taking taylor expansion of -1 in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.940 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.940 * [taylor]: Taking taylor expansion of 1.0 in x 2.941 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.941 * [taylor]: Taking taylor expansion of 1.0 in x 2.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.944 * [taylor]: Taking taylor expansion of x in x 3.047 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.047 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 3.047 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.047 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.047 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.047 * [taylor]: Taking taylor expansion of (* x x) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.047 * [taylor]: Taking taylor expansion of 1.0 in x 3.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.048 * [taylor]: Taking taylor expansion of 1.0 in x 3.054 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.054 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.054 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.054 * [taylor]: Taking taylor expansion of (* x x) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.054 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.054 * [taylor]: Taking taylor expansion of 1.0 in x 3.055 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.055 * [taylor]: Taking taylor expansion of 1.0 in x 3.069 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.069 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.069 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.069 * [taylor]: Taking taylor expansion of x in x 3.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.070 * [taylor]: Taking taylor expansion of x in x 3.070 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.070 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.070 * [taylor]: Taking taylor expansion of 1.0 in x 3.071 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.071 * [taylor]: Taking taylor expansion of 1.0 in x 3.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.074 * [taylor]: Taking taylor expansion of x in x 3.074 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.074 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.081 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.081 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.081 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.081 * [taylor]: Taking taylor expansion of x in x 3.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.082 * [taylor]: Taking taylor expansion of x in x 3.082 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.082 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.082 * [taylor]: Taking taylor expansion of 1.0 in x 3.083 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.083 * [taylor]: Taking taylor expansion of 1.0 in x 3.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.086 * [taylor]: Taking taylor expansion of x in x 3.116 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.116 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.116 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.116 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.116 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.116 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.116 * [taylor]: Taking taylor expansion of -1 in x 3.116 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.117 * [taylor]: Taking taylor expansion of -1 in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.117 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.117 * [taylor]: Taking taylor expansion of 1.0 in x 3.118 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.118 * [taylor]: Taking taylor expansion of 1.0 in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.121 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.121 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.122 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.122 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.122 * [taylor]: Taking taylor expansion of -1 in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.122 * [taylor]: Taking taylor expansion of -1 in x 3.122 * [taylor]: Taking taylor expansion of x in x 3.122 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.122 * [taylor]: Taking taylor expansion of 1.0 in x 3.123 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.123 * [taylor]: Taking taylor expansion of 1.0 in x 3.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.127 * [taylor]: Taking taylor expansion of x in x 3.188 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.188 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 3.188 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.188 * [taylor]: Taking taylor expansion of x in x 3.188 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.189 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.189 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.189 * [taylor]: Taking taylor expansion of (* x x) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.189 * [taylor]: Taking taylor expansion of 1.0 in x 3.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.189 * [taylor]: Taking taylor expansion of 1.0 in x 3.195 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.195 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.195 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.195 * [taylor]: Taking taylor expansion of (* x x) in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [taylor]: Taking taylor expansion of x in x 3.195 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.195 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.195 * [taylor]: Taking taylor expansion of 1.0 in x 3.196 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.196 * [taylor]: Taking taylor expansion of 1.0 in x 3.210 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.210 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.210 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.211 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.211 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.211 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.211 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.211 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.211 * [taylor]: Taking taylor expansion of 1.0 in x 3.212 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.212 * [taylor]: Taking taylor expansion of 1.0 in x 3.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.215 * [taylor]: Taking taylor expansion of x in x 3.216 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.216 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.216 * [taylor]: Taking taylor expansion of x in x 3.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.216 * [taylor]: Taking taylor expansion of x in x 3.217 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.217 * [taylor]: Taking taylor expansion of 1.0 in x 3.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.217 * [taylor]: Taking taylor expansion of 1.0 in x 3.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.221 * [taylor]: Taking taylor expansion of x in x 3.251 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.251 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.251 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.251 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.251 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.251 * [taylor]: Taking taylor expansion of -1 in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.251 * [taylor]: Taking taylor expansion of -1 in x 3.251 * [taylor]: Taking taylor expansion of x in x 3.252 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.252 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.252 * [taylor]: Taking taylor expansion of 1.0 in x 3.252 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.252 * [taylor]: Taking taylor expansion of 1.0 in x 3.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.263 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.263 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.263 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.263 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.263 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.263 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.263 * [taylor]: Taking taylor expansion of -1 in x 3.263 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.264 * [taylor]: Taking taylor expansion of -1 in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.264 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.264 * [taylor]: Taking taylor expansion of 1.0 in x 3.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.265 * [taylor]: Taking taylor expansion of 1.0 in x 3.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.268 * [taylor]: Taking taylor expansion of x in x 3.323 * * * [progress]: simplifying candidates 3.324 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (* (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))) (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log 1) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (exp (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (* (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (* (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))) (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log 1) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (exp (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* (* (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (* (exp x) (exp (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (* (* (+ x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0)))) (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 3.329 * * [simplify]: iteration 0 : 285 enodes (cost 724 ) 3.334 * * [simplify]: iteration 1 : 883 enodes (cost 658 ) 3.350 * * [simplify]: iteration 2 : 3992 enodes (cost 630 ) 3.429 * * [simplify]: iteration 3 : 5001 enodes (cost 624 ) 3.432 * [simplify]: Simplified to: (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (+ x (hypot x (sqrt 1.0)))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (pow (log (sqrt (+ x (hypot x (sqrt 1.0))))) 3) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (log1p (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0))))))) (log (cbrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))))) (log (sqrt (cbrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt 1)) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (hypot x (sqrt 1.0)))))) 0 (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (sqrt (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)))) (log (sqrt (+ (* x x) (- (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (* x (hypot x (sqrt 1.0))))))) (log (sqrt (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))))) (log (sqrt (- x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (sqrt (+ x (hypot x (sqrt 1.0))))) (log (+ x (hypot x (sqrt 1.0)))) (log (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (+ x (hypot x (sqrt 1.0)))) (* (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (pow (log (sqrt (+ x (hypot x (sqrt 1.0))))) 3) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (sqrt (log (sqrt (+ x (hypot x (sqrt 1.0)))))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x) (pow x 2)) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (expm1 (+ x (hypot x (sqrt 1.0)))) (log1p (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (log (+ x (hypot x (sqrt 1.0)))) (exp (+ x (hypot x (sqrt 1.0)))) (* (cbrt (+ x (hypot x (sqrt 1.0)))) (cbrt (+ x (hypot x (sqrt 1.0))))) (cbrt (+ x (hypot x (sqrt 1.0)))) (pow (+ x (hypot x (sqrt 1.0))) 3) (sqrt (+ x (hypot x (sqrt 1.0)))) (sqrt (+ x (hypot x (sqrt 1.0)))) (+ (pow x 3) (pow (hypot x (sqrt 1.0)) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) x) (pow x 2)) (- (* x x) (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0)))) (- x (hypot x (sqrt 1.0))) (+ x (hypot x (sqrt 1.0))) (fma 1/2 (/ x (sqrt 1.0)) (- (log (sqrt (sqrt 1.0))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (- (log +nan.0) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x)))) (/ +nan.0 x)) (fma (/ 1.0 x) (- (/ +nan.0 x) +nan.0) (+ (log +nan.0) (- (fma 2 (log (sqrt 1.0)) (log (/ -1 x))) (/ (* (* 1.0 1.0) +nan.0) (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (log (sqrt (sqrt 1.0))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (- (log +nan.0) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x)))) (/ +nan.0 x)) (fma (/ 1.0 x) (- (/ +nan.0 x) +nan.0) (+ (log +nan.0) (- (fma 2 (log (sqrt 1.0)) (log (/ -1 x))) (/ (* (* 1.0 1.0) +nan.0) (pow x 2))))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ (* 1.0 1/2) x))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ (* 1.0 1/2) x))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) 3.433 * * * [progress]: adding candidates to table 3.716 * [progress]: [Phase 3 of 3] Extracting. 3.716 * * [regime]: Finding splitpoints for: (# # # # # #) 3.718 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.718 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.760 * * * [regime]: Found split indices: #