15.676 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.083 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.085 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.087 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.087 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.089 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.101 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.106 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.114 * * * [progress]: generating series expansions 0.114 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.114 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.115 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.159 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.159 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.161 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.208 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.208 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.208 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.261 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.261 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.261 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.340 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.340 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.340 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.341 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.349 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.368 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.368 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.397 * * * [progress]: simplifying candidates 0.398 * [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))))) 0.403 * * [simplify]: iteration 0 : 331 enodes (cost 422 ) 0.408 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.429 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.431 * [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)))) 0.432 * * * [progress]: adding candidates to table 0.587 * * [progress]: iteration 2 / 4 0.587 * * * [progress]: picking best candidate 0.598 * * * * [pick]: Picked # 0.598 * * * [progress]: localizing error 0.609 * * * [progress]: generating rewritten candidates 0.609 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.681 * * * [progress]: generating series expansions 0.681 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.682 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.682 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.682 * [taylor]: Taking taylor expansion of 1/6 in x 0.682 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.686 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.686 * [taylor]: Taking taylor expansion of 1/6 in x 0.686 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.686 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.733 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.733 * [taylor]: Taking taylor expansion of 1/6 in x 0.733 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.738 * [taylor]: Taking taylor expansion of 1/6 in x 0.738 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.739 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.778 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.778 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.778 * [taylor]: Taking taylor expansion of -1/6 in x 0.778 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.778 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.778 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.778 * [taylor]: Taking taylor expansion of 1.0 in x 0.783 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.783 * [taylor]: Taking taylor expansion of -1/6 in x 0.783 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.783 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.783 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * * * [progress]: simplifying candidates 0.831 * [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) 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(sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1) 3))) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (sqrt (pow x 3)) (pow 1 3))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt 1.0))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (sqrt (pow x 3)) 1)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ 1 (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow (sqrt 1) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow 1 3))) (* 1/6 (/ 1 (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ 1 (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ 1 (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow (sqrt 1) 3))) (* 1/6 (/ 1 (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ 1 (pow 1 3))) (* 1/6 (/ 1 (sqrt 1.0))) (* 1/6 (/ 1 (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ 1 1)) (* 1/6 (/ 1 (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow x (/ 3 2)) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt 1) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow 1 3))) (* 1/6 (/ (pow x (/ 3 2)) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow x (/ 3 2)) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow x (/ 3 2)) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt 1) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow x (/ 3 2)) (pow 1 3))) (* 1/6 (/ (pow x (/ 3 2)) (sqrt 1.0))) (* 1/6 (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x (/ 3 2)) 1)) (* 1/6 (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 1) (* 1/6 (pow x 3)) (* (cbrt 1/6) (/ (pow x 3) (pow (sqrt 1.0) 3))) (* (sqrt 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)) (* 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))) 0.843 * * [simplify]: iteration 0 : 729 enodes (cost 1769 ) 0.856 * * [simplify]: iteration 1 : 3838 enodes (cost 1380 ) 0.908 * * [simplify]: iteration 2 : 5003 enodes (cost 1380 ) 0.917 * [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 3) (pow (sqrt 1.0) 3))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (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)))) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3) (pow (* 1/6 (/ (pow x 3) (pow (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)))) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 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) (/ 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(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)))) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1.0) 3/2))) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (sqrt 1.0)) (/ 1/6 (sqrt (pow (sqrt 1.0) 3))) 1/6 (/ 1/6 (pow (sqrt 1.0) 3/2)) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (* (/ x (/ 1.0 x)) 1/6) (/ (* 1/6 (* x x)) (pow (fabs (cbrt 1.0)) 3)) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt (sqrt 1.0)) 3) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (sqrt 1.0) x)) 1/6) (* (/ x (/ (sqrt (pow (sqrt 1.0) 3)) x)) 1/6) (* (* x x) 1/6) (* (/ x (/ (pow (sqrt 1.0) 3/2) x)) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* 1/6 (pow (sqrt x) 3)) 1.0) (/ (* (pow (sqrt x) 3) 1/6) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (pow (sqrt x) 3) 1/6) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1.0) 3/2))) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (sqrt 1.0)) (/ 1/6 (sqrt (pow (sqrt 1.0) 3))) 1/6 (/ 1/6 (pow (sqrt 1.0) 3/2)) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) 1.0) (/ (* 1/6 x) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ x (sqrt 1.0))) (* 1/6 (/ x (sqrt (pow (sqrt 1.0) 3)))) (* x 1/6) (* 1/6 (/ x (pow (sqrt 1.0) 3/2))) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) 1.0) (/ (* 1/6 (sqrt (pow x 3))) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (sqrt 1.0))) (* 1/6 (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt (pow x 3)) 1/6) (* 1/6 (/ (sqrt (pow x 3)) (pow (sqrt 1.0) 3/2))) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 1.0) (/ 1/6 (/ (pow (fabs (cbrt 1.0)) 3) 1)) (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (pow (sqrt (sqrt 1.0)) 3)) 1/6 (/ 1/6 (sqrt 1.0)) (/ 1/6 (sqrt (pow (sqrt 1.0) 3))) 1/6 (/ 1/6 (pow (sqrt 1.0) 3/2)) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) 1.0) (/ (* 1/6 (pow x 3/2)) (pow (fabs (cbrt 1.0)) 3)) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt (sqrt 1.0)) 3))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (sqrt 1.0))) (* 1/6 (/ (pow x 3/2) (sqrt (pow (sqrt 1.0) 3)))) (* (pow x 3/2) 1/6) (* 1/6 (/ (pow x 3/2) (pow (sqrt 1.0) 3/2))) 1/6 (* 1/6 (pow x 3)) (* (cbrt 1/6) (/ (pow x 3) (pow (sqrt 1.0) 3))) (* (sqrt 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)) (* 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))) 0.918 * * * [progress]: adding candidates to table 1.244 * * [progress]: iteration 3 / 4 1.244 * * * [progress]: picking best candidate 1.253 * * * * [pick]: Picked # 1.253 * * * [progress]: localizing error 1.258 * * * [progress]: generating rewritten candidates 1.259 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.262 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.265 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.266 * * * [progress]: generating series expansions 1.266 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.267 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.267 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.267 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.267 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.267 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.267 * [taylor]: Taking taylor expansion of (* x x) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.267 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.275 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.275 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.275 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.275 * [taylor]: Taking taylor expansion of (* x x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.275 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.275 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.276 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.334 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.334 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.334 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.334 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.340 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.340 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.340 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.422 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.422 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.422 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.422 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.422 * [taylor]: Taking taylor expansion of -1 in x 1.422 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.424 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.424 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.427 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.439 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.439 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.439 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.569 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.569 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 1.569 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.569 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.569 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.569 * [taylor]: Taking taylor expansion of (* x x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.569 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.570 * [taylor]: Taking taylor expansion of 1.0 in x 1.570 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.570 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.576 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.576 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.576 * [taylor]: Taking taylor expansion of (* x x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.576 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.577 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.577 * [taylor]: Taking taylor expansion of 1.0 in x 1.591 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.591 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.591 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.591 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.591 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.591 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.592 * [taylor]: Taking taylor expansion of x in x 1.592 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.592 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.596 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.596 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.596 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.596 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.597 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.631 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.631 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.631 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.631 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.631 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.631 * [taylor]: Taking taylor expansion of -1 in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.632 * [taylor]: Taking taylor expansion of -1 in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.632 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.632 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.636 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.637 * [taylor]: Taking taylor expansion of -1 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 1.638 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.638 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.703 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.704 * [approximate]: Taking taylor expansion of (hypot x (sqrt 1.0)) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.704 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.704 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.704 * [taylor]: Taking taylor expansion of (* x x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.704 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.704 * [taylor]: Taking taylor expansion of 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 1.711 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.711 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.711 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.711 * [taylor]: Taking taylor expansion of (* x x) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.711 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.712 * [taylor]: Taking taylor expansion of 1.0 in x 1.736 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in (x) around 0 1.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.737 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.737 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.748 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.748 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.775 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in (x) around 0 1.775 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.775 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.775 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.775 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.775 * [taylor]: Taking taylor expansion of -1 in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.775 * [taylor]: Taking taylor expansion of -1 in x 1.775 * [taylor]: Taking taylor expansion of x in x 1.776 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.776 * [taylor]: Taking taylor expansion of 1.0 in x 1.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.776 * [taylor]: Taking taylor expansion of 1.0 in x 1.780 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.780 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.780 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.780 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.780 * [taylor]: Taking taylor expansion of -1 in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.780 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.780 * [taylor]: Taking taylor expansion of -1 in x 1.780 * [taylor]: Taking taylor expansion of x in x 1.781 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.781 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.808 * * * [progress]: simplifying candidates 1.808 * [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)))) 1.813 * * [simplify]: iteration 0 : 268 enodes (cost 349 ) 1.818 * * [simplify]: iteration 1 : 886 enodes (cost 321 ) 1.833 * * [simplify]: iteration 2 : 3696 enodes (cost 305 ) 1.895 * * [simplify]: iteration 3 : 5001 enodes (cost 303 ) 1.897 * [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))) 1.897 * * * [progress]: adding candidates to table 2.017 * * [progress]: iteration 4 / 4 2.017 * * * [progress]: picking best candidate 2.023 * * * * [pick]: Picked # 2.023 * * * [progress]: localizing error 2.032 * * * [progress]: generating rewritten candidates 2.032 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.036 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.043 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.048 * * * [progress]: generating series expansions 2.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.049 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.049 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.049 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.049 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.049 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.049 * [taylor]: Taking taylor expansion of (* x x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.049 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.049 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.049 * [taylor]: Taking taylor expansion of 1.0 in x 2.050 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.050 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.059 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.059 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.059 * [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 2.060 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.060 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.065 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.065 * [taylor]: Taking taylor expansion of 1.0 in x 2.182 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.182 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.182 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.182 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.182 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.182 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.182 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.182 * [taylor]: Taking taylor expansion of x in x 2.182 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.183 * [taylor]: Taking taylor expansion of 1.0 in x 2.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.183 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.188 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.189 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.189 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.189 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.189 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.189 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.189 * [taylor]: Taking taylor expansion of 1.0 in x 2.190 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.190 * [taylor]: Taking taylor expansion of 1.0 in x 2.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.193 * [taylor]: Taking taylor expansion of x in x 2.242 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.242 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.242 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.242 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.242 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.242 * [taylor]: Taking taylor expansion of -1 in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.243 * [taylor]: Taking taylor expansion of -1 in x 2.243 * [taylor]: Taking taylor expansion of x in x 2.243 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.243 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.243 * [taylor]: Taking taylor expansion of 1.0 in x 2.244 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.244 * [taylor]: Taking taylor expansion of 1.0 in x 2.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.247 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.262 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.262 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.262 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.262 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.262 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.262 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.262 * [taylor]: Taking taylor expansion of -1 in x 2.262 * [taylor]: Taking taylor expansion of x in x 2.263 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.263 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.263 * [taylor]: Taking taylor expansion of 1.0 in x 2.263 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.263 * [taylor]: Taking taylor expansion of 1.0 in x 2.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.267 * [taylor]: Taking taylor expansion of x in x 2.366 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.367 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.367 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.367 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.367 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.367 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.367 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.367 * [taylor]: Taking taylor expansion of (* x x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.377 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.377 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.377 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.377 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.377 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.377 * [taylor]: Taking taylor expansion of (* x x) in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.377 * [taylor]: Taking taylor expansion of 1.0 in x 2.378 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.378 * [taylor]: Taking taylor expansion of 1.0 in x 2.501 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.501 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.501 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.501 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.501 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.501 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.502 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.502 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.502 * [taylor]: Taking taylor expansion of 1.0 in x 2.503 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.503 * [taylor]: Taking taylor expansion of 1.0 in x 2.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.506 * [taylor]: Taking taylor expansion of x in x 2.508 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.508 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.508 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.508 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.508 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.508 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.508 * [taylor]: Taking taylor expansion of x in x 2.509 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.509 * [taylor]: Taking taylor expansion of 1.0 in x 2.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.510 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.555 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.555 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.555 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.555 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.555 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.555 * [taylor]: Taking taylor expansion of -1 in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.555 * [taylor]: Taking taylor expansion of -1 in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.556 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.575 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.575 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.575 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.575 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.575 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.575 * [taylor]: Taking taylor expansion of -1 in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.575 * [taylor]: Taking taylor expansion of -1 in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.576 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.576 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.686 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.686 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.686 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.686 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.686 * [taylor]: Taking taylor expansion of (* x x) in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of x in x 2.686 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.686 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.686 * [taylor]: Taking taylor expansion of 1.0 in x 2.687 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.687 * [taylor]: Taking taylor expansion of 1.0 in x 2.692 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.693 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.693 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.693 * [taylor]: Taking taylor expansion of (* x x) in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.693 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.693 * [taylor]: Taking taylor expansion of 1.0 in x 2.694 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.694 * [taylor]: Taking taylor expansion of 1.0 in x 2.708 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.708 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.708 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.708 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.708 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.708 * [taylor]: Taking taylor expansion of x in x 2.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.708 * [taylor]: Taking taylor expansion of x in x 2.708 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.708 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.708 * [taylor]: Taking taylor expansion of 1.0 in x 2.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.709 * [taylor]: Taking taylor expansion of 1.0 in x 2.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.713 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.713 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.713 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.713 * [taylor]: Taking taylor expansion of x in x 2.713 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.713 * [taylor]: Taking taylor expansion of 1.0 in x 2.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.714 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.747 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.747 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.747 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.747 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.747 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.747 * [taylor]: Taking taylor expansion of -1 in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.747 * [taylor]: Taking taylor expansion of -1 in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.752 * [taylor]: Taking taylor expansion of x in x 2.758 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.758 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.758 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.758 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.758 * [taylor]: Taking taylor expansion of -1 in x 2.758 * [taylor]: Taking taylor expansion of x in x 2.758 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.758 * [taylor]: Taking taylor expansion of -1 in x 2.758 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.759 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.760 * [taylor]: Taking taylor expansion of 1.0 in x 2.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.763 * [taylor]: Taking taylor expansion of x in x 2.817 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.818 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.818 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.818 * [taylor]: Taking taylor expansion of x in x 2.818 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.818 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.818 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.818 * [taylor]: Taking taylor expansion of (* x x) in x 2.818 * [taylor]: Taking taylor expansion of x in x 2.818 * [taylor]: Taking taylor expansion of x in x 2.818 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.818 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.818 * [taylor]: Taking taylor expansion of 1.0 in x 2.819 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.819 * [taylor]: Taking taylor expansion of 1.0 in x 2.824 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.824 * [taylor]: Taking taylor expansion of x in x 2.824 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.825 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.825 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.825 * [taylor]: Taking taylor expansion of (* x x) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.825 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.825 * [taylor]: Taking taylor expansion of 1.0 in x 2.825 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.825 * [taylor]: Taking taylor expansion of 1.0 in x 2.845 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.845 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.845 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.846 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.846 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.846 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.847 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.847 * [taylor]: Taking taylor expansion of 1.0 in x 2.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.850 * [taylor]: Taking taylor expansion of x in x 2.851 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.851 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.851 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.851 * [taylor]: Taking taylor expansion of 1.0 in x 2.852 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.852 * [taylor]: Taking taylor expansion of 1.0 in x 2.855 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.855 * [taylor]: Taking taylor expansion of x in x 2.885 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.885 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.885 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.885 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.885 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.885 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.885 * [taylor]: Taking taylor expansion of -1 in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.885 * [taylor]: Taking taylor expansion of -1 in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.885 * [taylor]: Taking taylor expansion of 1.0 in x 2.886 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.886 * [taylor]: Taking taylor expansion of 1.0 in x 2.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.890 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.890 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.890 * [taylor]: Taking taylor expansion of -1 in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.890 * [taylor]: Taking taylor expansion of -1 in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.891 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.891 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.891 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.891 * [taylor]: Taking taylor expansion of 1.0 in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.957 * * * [progress]: simplifying candidates 2.958 * [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)))) 2.963 * * [simplify]: iteration 0 : 285 enodes (cost 724 ) 2.968 * * [simplify]: iteration 1 : 883 enodes (cost 658 ) 2.984 * * [simplify]: iteration 2 : 3992 enodes (cost 630 ) 3.058 * * [simplify]: iteration 3 : 5001 enodes (cost 624 ) 3.062 * [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)))) 3.063 * * * [progress]: adding candidates to table 3.317 * [progress]: [Phase 3 of 3] Extracting. 3.318 * * [regime]: Finding splitpoints for: (# # # #) 3.318 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.318 * * * * [regimes]: Trying to branch on x from (# # # #) 3.346 * * * [regime]: Found split indices: #