26.996 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.069 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.071 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.071 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.086 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.092 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.098 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.099 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.100 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.130 * [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 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.145 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.145 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.147 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) 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 0.149 * [taylor]: Taking taylor expansion of x in x 0.195 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.245 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.321 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.321 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.333 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.333 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1.0 in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.352 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 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 0.355 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of 1.0 in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.382 * * * [progress]: simplifying candidates 0.383 * [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))))) 0.388 * * [simplify]: iteration 0 : 331 enodes (cost 422 ) 0.394 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.415 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.417 * [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)))) 0.417 * * * [progress]: adding candidates to table 0.571 * * [progress]: iteration 2 / 4 0.571 * * * [progress]: picking best candidate 0.585 * * * * [pick]: Picked # 0.585 * * * [progress]: localizing error 0.597 * * * [progress]: generating rewritten candidates 0.597 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.668 * * * [progress]: generating series expansions 0.668 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.670 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.670 * [taylor]: Taking taylor expansion of 1/6 in x 0.670 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.670 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.674 * [taylor]: Taking taylor expansion of 1/6 in x 0.674 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.674 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.721 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.721 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.721 * [taylor]: Taking taylor expansion of 1/6 in x 0.721 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.721 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.726 * [taylor]: Taking taylor expansion of 1/6 in x 0.726 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.726 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.765 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.765 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.766 * [taylor]: Taking taylor expansion of -1/6 in x 0.766 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.766 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.771 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.771 * [taylor]: Taking taylor expansion of -1/6 in x 0.771 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.771 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.771 * [taylor]: Taking taylor expansion of x in x 0.771 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.771 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.771 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * * * [progress]: simplifying candidates 0.816 * [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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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))) 0.828 * * [simplify]: iteration 0 : 729 enodes (cost 1824 ) 0.841 * * [simplify]: iteration 1 : 3885 enodes (cost 1472 ) 0.894 * * [simplify]: iteration 2 : 5003 enodes (cost 1472 ) 0.903 * [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 (/ 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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 (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3)) (/ 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 (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3)) (/ 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 (sqrt (* (cbrt 1.0) (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 (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ x (pow (sqrt (sqrt 1.0)) 3))) (* x 1/6) (* 1/6 (/ x (pow 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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 (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3)) (/ 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 (sqrt (* (cbrt 1.0) (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 (sqrt (* (cbrt 1.0) (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))) 0.905 * * * [progress]: adding candidates to table 1.219 * * [progress]: iteration 3 / 4 1.219 * * * [progress]: picking best candidate 1.231 * * * * [pick]: Picked # 1.231 * * * [progress]: localizing error 1.236 * * * [progress]: generating rewritten candidates 1.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.239 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.242 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 1.244 * * * [progress]: generating series expansions 1.244 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.244 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.244 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.244 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.245 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.245 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.245 * [taylor]: Taking taylor expansion of (* x x) in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.253 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.253 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.253 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.253 * [taylor]: Taking taylor expansion of (* x x) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.253 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.254 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.306 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.306 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.306 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.306 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.307 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.316 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.317 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.317 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.317 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.317 * [taylor]: Taking taylor expansion of x in x 1.318 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.322 * [taylor]: Taking taylor expansion of x in x 1.398 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.398 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.398 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.398 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.398 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.398 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.398 * [taylor]: Taking taylor expansion of -1 in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.399 * [taylor]: Taking taylor expansion of -1 in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.399 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.400 * [taylor]: Taking taylor expansion of 1.0 in x 1.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.403 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.415 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.415 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.415 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.415 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.415 * [taylor]: Taking taylor expansion of -1 in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.416 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.416 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.537 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.538 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 1.538 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.538 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.538 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.538 * [taylor]: Taking taylor expansion of (* x x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.538 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.544 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.544 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.544 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.544 * [taylor]: Taking taylor expansion of (* x x) in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of x in x 1.544 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.544 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.565 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.565 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.565 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.565 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.565 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.565 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.566 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.566 * [taylor]: Taking taylor expansion of 1.0 in x 1.567 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.567 * [taylor]: Taking taylor expansion of 1.0 in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.570 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.570 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.571 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.572 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.572 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.575 * [taylor]: Taking taylor expansion of x in x 1.604 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.604 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.604 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.604 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.604 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.604 * [taylor]: Taking taylor expansion of -1 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.605 * [taylor]: Taking taylor expansion of -1 in x 1.605 * [taylor]: Taking taylor expansion of x in x 1.605 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.605 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.605 * [taylor]: Taking taylor expansion of 1.0 in x 1.606 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.606 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.610 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.610 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.610 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.610 * [taylor]: Taking taylor expansion of -1 in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.610 * [taylor]: Taking taylor expansion of -1 in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.610 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.611 * [taylor]: Taking taylor expansion of 1.0 in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.675 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 1.675 * [approximate]: Taking taylor expansion of (hypot x (sqrt 1.0)) in (x) around 0 1.675 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.675 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.676 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.676 * [taylor]: Taking taylor expansion of (* x x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.676 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.676 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.676 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.682 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.682 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.682 * [taylor]: Taking taylor expansion of (* x x) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.683 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in (x) around 0 1.707 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.707 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.707 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.708 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.708 * [taylor]: Taking taylor expansion of 1.0 in x 1.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.709 * [taylor]: Taking taylor expansion of 1.0 in x 1.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.712 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.712 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.713 * [taylor]: Taking taylor expansion of x in x 1.713 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.714 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in (x) around 0 1.745 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.745 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.745 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.745 * [taylor]: Taking taylor expansion of -1 in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.746 * [taylor]: Taking taylor expansion of -1 in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.750 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.750 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.750 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.750 * [taylor]: Taking taylor expansion of -1 in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.750 * [taylor]: Taking taylor expansion of -1 in x 1.750 * [taylor]: Taking taylor expansion of x in x 1.751 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.751 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.751 * [taylor]: Taking taylor expansion of 1.0 in x 1.752 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.752 * [taylor]: Taking taylor expansion of 1.0 in x 1.777 * * * [progress]: simplifying candidates 1.778 * [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)))) 1.782 * * [simplify]: iteration 0 : 268 enodes (cost 349 ) 1.787 * * [simplify]: iteration 1 : 886 enodes (cost 321 ) 1.801 * * [simplify]: iteration 2 : 3696 enodes (cost 305 ) 1.863 * * [simplify]: iteration 3 : 5001 enodes (cost 303 ) 1.865 * [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))) 1.865 * * * [progress]: adding candidates to table 1.984 * * [progress]: iteration 4 / 4 1.984 * * * [progress]: picking best candidate 1.991 * * * * [pick]: Picked # 1.991 * * * [progress]: localizing error 1.999 * * * [progress]: generating rewritten candidates 1.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.003 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.007 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.015 * * * [progress]: generating series expansions 2.015 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.015 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.015 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.015 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.015 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.015 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.015 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.015 * [taylor]: Taking taylor expansion of (* x x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of x in x 2.016 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.016 * [taylor]: Taking taylor expansion of 1.0 in x 2.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.016 * [taylor]: Taking taylor expansion of 1.0 in x 2.026 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.026 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.026 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.027 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.027 * [taylor]: Taking taylor expansion of (* x x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.027 * [taylor]: Taking taylor expansion of 1.0 in x 2.147 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.147 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.147 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.147 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.147 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.147 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.148 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.148 * [taylor]: Taking taylor expansion of 1.0 in x 2.148 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.148 * [taylor]: Taking taylor expansion of 1.0 in x 2.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.154 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.154 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.154 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.154 * [taylor]: Taking taylor expansion of x in x 2.154 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.154 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.155 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.155 * [taylor]: Taking taylor expansion of 1.0 in x 2.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.200 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.200 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.200 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.200 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.200 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.200 * [taylor]: Taking taylor expansion of -1 in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.201 * [taylor]: Taking taylor expansion of -1 in x 2.201 * [taylor]: Taking taylor expansion of x in x 2.201 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.201 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.201 * [taylor]: Taking taylor expansion of 1.0 in x 2.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.202 * [taylor]: Taking taylor expansion of 1.0 in x 2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.206 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.226 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.226 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.226 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.226 * [taylor]: Taking taylor expansion of -1 in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.227 * [taylor]: Taking taylor expansion of -1 in x 2.227 * [taylor]: Taking taylor expansion of x in x 2.227 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.227 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.227 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.228 * [taylor]: Taking taylor expansion of 1.0 in x 2.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.332 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.332 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.332 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.332 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.332 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.333 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.333 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.333 * [taylor]: Taking taylor expansion of (* x x) in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of x in x 2.333 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.333 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.333 * [taylor]: Taking taylor expansion of 1.0 in x 2.333 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.333 * [taylor]: Taking taylor expansion of 1.0 in x 2.343 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.343 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.343 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.343 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.343 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.343 * [taylor]: Taking taylor expansion of (* x x) in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of x in x 2.343 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.343 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.343 * [taylor]: Taking taylor expansion of 1.0 in x 2.344 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.344 * [taylor]: Taking taylor expansion of 1.0 in x 2.459 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.459 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.459 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.459 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.459 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.459 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.459 * [taylor]: Taking taylor expansion of x in x 2.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.459 * [taylor]: Taking taylor expansion of x in x 2.460 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.460 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.460 * [taylor]: Taking taylor expansion of 1.0 in x 2.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.464 * [taylor]: Taking taylor expansion of x in x 2.466 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.466 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.466 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.466 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.466 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.466 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.467 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.467 * [taylor]: Taking taylor expansion of 1.0 in x 2.468 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.468 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.519 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.519 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.519 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.519 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.519 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.519 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.519 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.519 * [taylor]: Taking taylor expansion of -1 in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.519 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.519 * [taylor]: Taking taylor expansion of -1 in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.520 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.520 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.538 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.538 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.538 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.538 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.538 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.538 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.538 * [taylor]: Taking taylor expansion of -1 in x 2.538 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.539 * [taylor]: Taking taylor expansion of -1 in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.539 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.539 * [taylor]: Taking taylor expansion of 1.0 in x 2.540 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.540 * [taylor]: Taking taylor expansion of 1.0 in x 2.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.543 * [taylor]: Taking taylor expansion of x in x 2.648 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.649 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.649 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.649 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.649 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.650 * [taylor]: Taking taylor expansion of (* x x) in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.650 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.650 * [taylor]: Taking taylor expansion of 1.0 in x 2.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.650 * [taylor]: Taking taylor expansion of 1.0 in x 2.656 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.656 * [taylor]: Taking taylor expansion of x in x 2.656 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.656 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.656 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.656 * [taylor]: Taking taylor expansion of (* x x) in x 2.656 * [taylor]: Taking taylor expansion of x in x 2.656 * [taylor]: Taking taylor expansion of x in x 2.656 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.656 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.656 * [taylor]: Taking taylor expansion of 1.0 in x 2.657 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.657 * [taylor]: Taking taylor expansion of 1.0 in x 2.671 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.671 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.671 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.671 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.671 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.671 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.672 * [taylor]: Taking taylor expansion of x in x 2.672 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.672 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.672 * [taylor]: Taking taylor expansion of 1.0 in x 2.673 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.673 * [taylor]: Taking taylor expansion of 1.0 in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.676 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.677 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.677 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.677 * [taylor]: Taking taylor expansion of x in x 2.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.677 * [taylor]: Taking taylor expansion of x in x 2.677 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.677 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.677 * [taylor]: Taking taylor expansion of 1.0 in x 2.678 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.678 * [taylor]: Taking taylor expansion of 1.0 in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.682 * [taylor]: Taking taylor expansion of x in x 2.711 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.711 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.711 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.712 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.712 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.712 * [taylor]: Taking taylor expansion of -1 in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.712 * [taylor]: Taking taylor expansion of -1 in x 2.712 * [taylor]: Taking taylor expansion of x in x 2.712 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.712 * [taylor]: Taking taylor expansion of 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 2.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.716 * [taylor]: Taking taylor expansion of x in x 2.717 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.717 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.717 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.717 * [taylor]: Taking taylor expansion of -1 in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.717 * [taylor]: Taking taylor expansion of -1 in x 2.717 * [taylor]: Taking taylor expansion of x in x 2.718 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.718 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.718 * [taylor]: Taking taylor expansion of 1.0 in x 2.718 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.718 * [taylor]: Taking taylor expansion of 1.0 in x 2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.722 * [taylor]: Taking taylor expansion of x in x 2.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.784 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 2.784 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.784 * [taylor]: Taking taylor expansion of x in x 2.784 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.784 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.784 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.784 * [taylor]: Taking taylor expansion of (* x x) in x 2.784 * [taylor]: Taking taylor expansion of x in x 2.784 * [taylor]: Taking taylor expansion of x in x 2.784 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.784 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.784 * [taylor]: Taking taylor expansion of 1.0 in x 2.785 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.785 * [taylor]: Taking taylor expansion of 1.0 in x 2.790 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.790 * [taylor]: Taking taylor expansion of x in x 2.790 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.791 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.791 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.791 * [taylor]: Taking taylor expansion of (* x x) in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [taylor]: Taking taylor expansion of x in x 2.791 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.791 * [taylor]: Taking taylor expansion of 1.0 in x 2.805 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.805 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.805 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.806 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.806 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.806 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.806 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.806 * [taylor]: Taking taylor expansion of 1.0 in x 2.807 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.807 * [taylor]: Taking taylor expansion of 1.0 in x 2.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.810 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.811 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.811 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.811 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.811 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.811 * [taylor]: Taking taylor expansion of 1.0 in x 2.812 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.812 * [taylor]: Taking taylor expansion of 1.0 in x 2.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.815 * [taylor]: Taking taylor expansion of x in x 2.852 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.852 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.852 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.852 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.852 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.852 * [taylor]: Taking taylor expansion of -1 in x 2.852 * [taylor]: Taking taylor expansion of x in x 2.853 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.853 * [taylor]: Taking taylor expansion of -1 in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.853 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.853 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.853 * [taylor]: Taking taylor expansion of 1.0 in x 2.854 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.854 * [taylor]: Taking taylor expansion of 1.0 in x 2.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.857 * [taylor]: Taking taylor expansion of x in x 2.857 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.858 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.858 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.858 * [taylor]: Taking taylor expansion of -1 in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.858 * [taylor]: Taking taylor expansion of -1 in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.858 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.858 * [taylor]: Taking taylor expansion of 1.0 in x 2.859 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.859 * [taylor]: Taking taylor expansion of 1.0 in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.924 * * * [progress]: simplifying candidates 2.925 * [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)))) 2.931 * * [simplify]: iteration 0 : 285 enodes (cost 724 ) 2.937 * * [simplify]: iteration 1 : 883 enodes (cost 658 ) 2.954 * * [simplify]: iteration 2 : 3992 enodes (cost 630 ) 3.030 * * [simplify]: iteration 3 : 5001 enodes (cost 624 ) 3.034 * [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)))) 3.034 * * * [progress]: adding candidates to table 3.294 * [progress]: [Phase 3 of 3] Extracting. 3.294 * * [regime]: Finding splitpoints for: (# # # #) 3.295 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.295 * * * * [regimes]: Trying to branch on x from (# # # #) 3.327 * * * [regime]: Found split indices: #