4.755 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.070 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.072 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.073 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.073 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.075 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.087 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.095 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.105 * * * [progress]: generating series expansions 0.105 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.105 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.105 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.105 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.107 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.158 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.158 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.158 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.163 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.217 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.221 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.267 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.276 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.347 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.347 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.348 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.350 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.350 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.365 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.366 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.414 * * * [progress]: simplifying candidates 0.415 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (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))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.420 * * [simplify]: iteration 0 : 339 enodes (cost 436 ) 0.425 * * [simplify]: iteration 1 : 1140 enodes (cost 401 ) 0.445 * * [simplify]: iteration 2 : 5001 enodes (cost 389 ) 0.447 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.0625 (/ 1 (pow x 5)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) 0.448 * * * [progress]: adding candidates to table 0.599 * * [progress]: iteration 2 / 4 0.599 * * * [progress]: picking best candidate 0.603 * * * * [pick]: Picked # 0.603 * * * [progress]: localizing error 0.613 * * * [progress]: generating rewritten candidates 0.613 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.643 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.645 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.649 * * * [progress]: generating series expansions 0.649 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.650 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.650 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.650 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.660 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.660 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.660 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.661 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.702 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.702 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.702 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.715 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.715 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.715 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.716 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.747 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.747 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.747 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.747 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.750 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.752 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.752 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.755 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.755 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.842 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.843 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 0.843 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.843 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.843 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.843 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.856 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.856 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.856 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 0.953 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 0.953 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.953 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.953 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.954 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.962 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.962 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.970 * [taylor]: Taking taylor expansion of x in x 1.048 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.048 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.055 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.055 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.055 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.055 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.058 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.058 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.123 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.124 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.124 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.124 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.133 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.133 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.177 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.178 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.187 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.187 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.233 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.233 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.233 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.233 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.233 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.233 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.233 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.236 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.236 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.236 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.241 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.289 * * * [progress]: simplifying candidates 1.290 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log 1) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (exp (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (* (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)))))) (- (log -1) (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (log (/ -1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 1.297 * * [simplify]: iteration 0 : 467 enodes (cost 1012 ) 1.304 * * [simplify]: iteration 1 : 1665 enodes (cost 907 ) 1.330 * * [simplify]: iteration 2 : 5001 enodes (cost 894 ) 1.334 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (fma x x (- 1.0)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* 2 (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) 0 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ (log (+ x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))) (log (- x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (pow (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) 3) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- 0 (- 1.0)) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (- (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))))) (- (- x (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (fma (- +nan.0) (/ 1 (pow x 2)) (fma +nan.0 (/ 1 x) (fma (- +nan.0) (/ (sqrt 1.0) x) +nan.0))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (/ 1 x))) (- (+ (- (log -1) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (log (/ -1 x)))) (/ +nan.0 (pow x 2))) (/ +nan.0 x)) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (- (* 2 x) (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) 1.335 * * * [progress]: adding candidates to table 1.585 * * [progress]: iteration 3 / 4 1.585 * * * [progress]: picking best candidate 1.589 * * * * [pick]: Picked # 1.589 * * * [progress]: localizing error 1.615 * * * [progress]: generating rewritten candidates 1.615 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 3) 1.620 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.628 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.660 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.672 * * * [progress]: generating series expansions 1.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 3) 1.673 * [approximate]: Taking taylor expansion of (/ 0.25 (pow x 2)) in (x) around 0 1.673 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 1.673 * [taylor]: Taking taylor expansion of 0.25 in x 1.673 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.674 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 1.674 * [taylor]: Taking taylor expansion of 0.25 in x 1.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.674 * [taylor]: Taking taylor expansion of x in x 1.687 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 1.687 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.687 * [taylor]: Taking taylor expansion of 0.25 in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.687 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.687 * [taylor]: Taking taylor expansion of 0.25 in x 1.687 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.687 * [taylor]: Taking taylor expansion of x in x 1.695 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 1.696 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.696 * [taylor]: Taking taylor expansion of 0.25 in x 1.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.696 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.696 * [taylor]: Taking taylor expansion of 0.25 in x 1.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.704 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.704 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 1.704 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.704 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.709 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 1.709 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) 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 1.710 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.739 * [approximate]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in (x) around 0 1.739 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.739 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.739 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.739 * [taylor]: Taking taylor expansion of 1.0 in x 1.740 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.740 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.740 * [taylor]: Taking taylor expansion of x in x 1.740 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.740 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.740 * [taylor]: Taking taylor expansion of 1.0 in x 1.776 * [approximate]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in (x) around 0 1.776 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.776 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.776 * [taylor]: Taking taylor expansion of x in x 1.776 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.776 * [taylor]: Taking taylor expansion of 1.0 in x 1.776 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.777 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.777 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.777 * [taylor]: Taking taylor expansion of 1.0 in x 1.806 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.808 * [approximate]: Taking taylor expansion of (- (log 2) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (log (/ 1 x)))) in (x) around 0 1.808 * [taylor]: Taking taylor expansion of (- (log 2) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (log (/ 1 x)))) in x 1.808 * [taylor]: Taking taylor expansion of (log 2) in x 1.808 * [taylor]: Taking taylor expansion of 2 in x 1.808 * [taylor]: Taking taylor expansion of (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (log (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in x 1.808 * [taylor]: Rewrote expression to (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (/ 0.25 (pow x 2))) 1.808 * [taylor]: Taking taylor expansion of (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) in x 1.808 * [taylor]: Taking taylor expansion of 3/32 in x 1.808 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 1.808 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.808 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.808 * [taylor]: Taking taylor expansion of 1.0 in x 1.809 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 1.813 * [taylor]: Taking taylor expansion of 0.25 in x 1.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.814 * [taylor]: Taking taylor expansion of (- (log 2) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (log (/ 1 x)))) in x 1.814 * [taylor]: Taking taylor expansion of (log 2) in x 1.814 * [taylor]: Taking taylor expansion of 2 in x 1.814 * [taylor]: Taking taylor expansion of (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (log (/ 1 x))) in x 1.814 * [taylor]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in x 1.814 * [taylor]: Rewrote expression to (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (/ 0.25 (pow x 2))) 1.814 * [taylor]: Taking taylor expansion of (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) in x 1.814 * [taylor]: Taking taylor expansion of 3/32 in x 1.814 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 1.814 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.814 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.815 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.815 * [taylor]: Taking taylor expansion of x in x 1.819 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 1.819 * [taylor]: Taking taylor expansion of 0.25 in x 1.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.819 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.819 * [taylor]: Taking taylor expansion of x in x 1.861 * [approximate]: Taking taylor expansion of (- (log 2) (+ (log x) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in (x) around 0 1.861 * [taylor]: Taking taylor expansion of (- (log 2) (+ (log x) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 1.861 * [taylor]: Taking taylor expansion of (log 2) in x 1.861 * [taylor]: Taking taylor expansion of 2 in x 1.861 * [taylor]: Taking taylor expansion of (+ (log x) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 1.861 * [taylor]: Taking taylor expansion of (log x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 1.862 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 1.862 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 1.862 * [taylor]: Taking taylor expansion of 3/32 in x 1.862 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.862 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.862 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.863 * [taylor]: Taking taylor expansion of 0.25 in x 1.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (- (log 2) (+ (log x) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 1.863 * [taylor]: Taking taylor expansion of (log 2) in x 1.863 * [taylor]: Taking taylor expansion of 2 in x 1.863 * [taylor]: Taking taylor expansion of (+ (log x) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 1.863 * [taylor]: Taking taylor expansion of (log x) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 1.863 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 1.863 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 1.863 * [taylor]: Taking taylor expansion of 3/32 in x 1.863 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.863 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.863 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.863 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.863 * [taylor]: Taking taylor expansion of 1.0 in x 1.864 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.864 * [taylor]: Taking taylor expansion of 0.25 in x 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.906 * [approximate]: Taking taylor expansion of (- (log 2) (+ (log (* -1 x)) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in (x) around 0 1.906 * [taylor]: Taking taylor expansion of (- (log 2) (+ (log (* -1 x)) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 1.906 * [taylor]: Taking taylor expansion of (log 2) in x 1.906 * [taylor]: Taking taylor expansion of 2 in x 1.906 * [taylor]: Taking taylor expansion of (+ (log (* -1 x)) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 1.906 * [taylor]: Taking taylor expansion of (log (* -1 x)) in x 1.906 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.906 * [taylor]: Taking taylor expansion of -1 in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 1.907 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 1.907 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 1.907 * [taylor]: Taking taylor expansion of 3/32 in x 1.907 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.907 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.908 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.908 * [taylor]: Taking taylor expansion of 0.25 in x 1.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (- (log 2) (+ (log (* -1 x)) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 1.908 * [taylor]: Taking taylor expansion of (log 2) in x 1.908 * [taylor]: Taking taylor expansion of 2 in x 1.909 * [taylor]: Taking taylor expansion of (+ (log (* -1 x)) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 1.909 * [taylor]: Taking taylor expansion of (log (* -1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.909 * [taylor]: Taking taylor expansion of -1 in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 1.910 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 1.910 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 1.910 * [taylor]: Taking taylor expansion of 3/32 in x 1.910 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 1.910 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.910 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.910 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 1.911 * [taylor]: Taking taylor expansion of 0.25 in x 1.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.911 * [taylor]: Taking taylor expansion of x in x 1.960 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.961 * [approximate]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in (x) around 0 1.961 * [taylor]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in x 1.962 * [taylor]: Rewrote expression to (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (/ 0.25 (pow x 2))) 1.962 * [taylor]: Taking taylor expansion of (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) in x 1.962 * [taylor]: Taking taylor expansion of 3/32 in x 1.962 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 1.962 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.962 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.962 * [taylor]: Taking taylor expansion of 1.0 in x 1.962 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 1.966 * [taylor]: Taking taylor expansion of 0.25 in x 1.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in x 1.967 * [taylor]: Rewrote expression to (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (/ 0.25 (pow x 2))) 1.967 * [taylor]: Taking taylor expansion of (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) in x 1.967 * [taylor]: Taking taylor expansion of 3/32 in x 1.967 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 1.967 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 1.967 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 1.971 * [taylor]: Taking taylor expansion of 0.25 in x 1.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.971 * [taylor]: Taking taylor expansion of x in x 2.033 * [approximate]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in (x) around 0 2.033 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 2.033 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 2.033 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 2.033 * [taylor]: Taking taylor expansion of 3/32 in x 2.033 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 2.033 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 2.033 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.033 * [taylor]: Taking taylor expansion of 1.0 in x 2.034 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.034 * [taylor]: Taking taylor expansion of 0.25 in x 2.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 2.034 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 2.034 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 2.034 * [taylor]: Taking taylor expansion of 3/32 in x 2.034 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 2.034 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.034 * [taylor]: Taking taylor expansion of x in x 2.034 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 2.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.034 * [taylor]: Taking taylor expansion of 1.0 in x 2.035 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.035 * [taylor]: Taking taylor expansion of 0.25 in x 2.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.035 * [taylor]: Taking taylor expansion of x in x 2.091 * [approximate]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in (x) around 0 2.091 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 2.091 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 2.091 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 2.091 * [taylor]: Taking taylor expansion of 3/32 in x 2.091 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 2.091 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 2.092 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.092 * [taylor]: Taking taylor expansion of 1.0 in x 2.092 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.092 * [taylor]: Taking taylor expansion of 0.25 in x 2.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 2.092 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 2.092 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 2.092 * [taylor]: Taking taylor expansion of 3/32 in x 2.092 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 2.092 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 2.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.093 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.093 * [taylor]: Taking taylor expansion of 0.25 in x 2.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.143 * * * [progress]: simplifying candidates 2.148 * [simplify]: Simplifying using # : (expm1 (/ (* 1/4 1.0) (pow x 2))) (log1p (/ (* 1/4 1.0) (pow x 2))) (- (+ (log 1/4) (log 1.0)) (* (log x) 2)) (- (+ (log 1/4) (log 1.0)) (* (log x) 2)) (- (+ (log 1/4) (log 1.0)) (log (pow x 2))) (- (log (* 1/4 1.0)) (* (log x) 2)) (- (log (* 1/4 1.0)) (* (log x) 2)) (- (log (* 1/4 1.0)) (log (pow x 2))) (log (/ (* 1/4 1.0) (pow x 2))) (exp (/ (* 1/4 1.0) (pow x 2))) (/ (* (* (* 1/4 1/4) 1/4) (* (* 1.0 1.0) 1.0)) (* (* (pow x 2) (pow x 2)) (pow x 2))) (/ (* (* (* 1/4 1.0) (* 1/4 1.0)) (* 1/4 1.0)) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (/ (* 1/4 1.0) (pow x 2))) (cbrt (/ (* 1/4 1.0) (pow x 2)))) (cbrt (/ (* 1/4 1.0) (pow x 2))) (* (* (/ (* 1/4 1.0) (pow x 2)) (/ (* 1/4 1.0) (pow x 2))) (/ (* 1/4 1.0) (pow x 2))) (sqrt (/ (* 1/4 1.0) (pow x 2))) (sqrt (/ (* 1/4 1.0) (pow x 2))) (- (* 1/4 1.0)) (- (pow x 2)) (/ 1/4 (pow (* (cbrt x) (cbrt x)) 2)) (/ 1.0 (pow (cbrt x) 2)) (/ 1/4 (pow (sqrt x) 2)) (/ 1.0 (pow (sqrt x) 2)) (/ 1/4 (pow 1 2)) (/ 1.0 (pow x 2)) (/ 1/4 x) (/ 1.0 x) (/ 1/4 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ 1.0 (cbrt (pow x 2))) (/ 1/4 (sqrt (pow x 2))) (/ 1.0 (sqrt (pow x 2))) (/ 1/4 1) (/ 1.0 (pow x 2)) (/ 1/4 (pow x (/ 2 2))) (/ 1.0 (pow x (/ 2 2))) (/ 1 (pow x 2)) (/ (pow x 2) (* 1/4 1.0)) (/ (* 1/4 1.0) (pow (* (cbrt x) (cbrt x)) 2)) (/ (* 1/4 1.0) (pow (sqrt x) 2)) (/ (* 1/4 1.0) (pow 1 2)) (/ (* 1/4 1.0) x) (/ (* 1/4 1.0) (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (/ (* 1/4 1.0) (sqrt (pow x 2))) (/ (* 1/4 1.0) 1) (/ (* 1/4 1.0) (pow x (/ 2 2))) (/ (pow x 2) 1.0) (expm1 (/ (pow (sqrt 1.0) 4) (pow x 4))) (log1p (/ (pow (sqrt 1.0) 4) (pow x 4))) (- (* (log (sqrt 1.0)) 4) (* (log x) 4)) (- (* (log (sqrt 1.0)) 4) (* (log x) 4)) (- (* (log (sqrt 1.0)) 4) (log (pow x 4))) (- (* (log (sqrt 1.0)) 4) (* (log x) 4)) (- (* (log (sqrt 1.0)) 4) (* (log x) 4)) (- (* (log (sqrt 1.0)) 4) (log (pow x 4))) (- 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(log (cbrt x)) (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))))) (- (log 2) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log (sqrt x)))) (- (log 2) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) 0)) (- (log 2) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) 0)) (- (log 2) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) 0)) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (- (log x) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (- (log (cbrt 2)) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (- (log (sqrt 2)) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x))) (+ (log x) (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))))) (- (log x) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) (log x)) (- (log 2) (- (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) 0)) (log x) (expm1 (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log1p (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (log (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (exp (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (* (cbrt (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (cbrt (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))))) (cbrt (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (pow (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2))) 3) (sqrt (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (sqrt (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (/ (/ 0.25 x) x) (/ (/ 0.25 x) x) (/ (/ 0.25 x) x) (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (pow (sqrt 1.0) 4) (pow x 4)) (+ (log x) (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (* 0.25 (/ 1 (pow x 2)))))) (+ (log x) (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (* 0.25 (/ 1 (pow x 2)))))) (- (- (log 2) (log -1)) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (fma 0.25 (/ 1 (pow x 2)) (log (/ -1 x))))) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (* 0.25 (/ 1 (pow x 2)))) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (* 0.25 (/ 1 (pow x 2)))) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (* 0.25 (/ 1 (pow x 2)))) 2.250 * * * [progress]: adding candidates to table 2.950 * * [progress]: iteration 4 / 4 2.950 * * * [progress]: picking best candidate 2.954 * * * * [pick]: Picked # 2.954 * * * [progress]: localizing error 2.981 * * * [progress]: generating rewritten candidates 2.981 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 3) 2.986 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 3.174 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.201 * * * [progress]: generating series expansions 3.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 3) 3.202 * [approximate]: Taking taylor expansion of (/ 0.25 (pow x 2)) in (x) around 0 3.202 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 3.202 * [taylor]: Taking taylor expansion of 0.25 in x 3.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.202 * [taylor]: Taking taylor expansion of x in x 3.203 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 3.203 * [taylor]: Taking taylor expansion of 0.25 in x 3.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.203 * [taylor]: Taking taylor expansion of x in x 3.211 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 3.211 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.211 * [taylor]: Taking taylor expansion of 0.25 in x 3.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.211 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.211 * [taylor]: Taking taylor expansion of 0.25 in x 3.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.211 * [taylor]: Taking taylor expansion of x in x 3.221 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 3.221 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.221 * [taylor]: Taking taylor expansion of 0.25 in x 3.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.221 * [taylor]: Taking taylor expansion of x in x 3.221 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.221 * [taylor]: Taking taylor expansion of 0.25 in x 3.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.221 * [taylor]: Taking taylor expansion of x in x 3.229 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.231 * [approximate]: Taking taylor expansion of (- (log 2) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (* 2 (log (sqrt (/ 1 x)))))) in (x) around 0 3.231 * [taylor]: Taking taylor expansion of (- (log 2) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (* 2 (log (sqrt (/ 1 x)))))) in x 3.231 * [taylor]: Taking taylor expansion of (log 2) in x 3.231 * [taylor]: Taking taylor expansion of 2 in x 3.231 * [taylor]: Taking taylor expansion of (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (* 2 (log (sqrt (/ 1 x))))) in x 3.231 * [taylor]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in x 3.231 * [taylor]: Rewrote expression to (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (/ 0.25 (pow x 2))) 3.231 * [taylor]: Taking taylor expansion of (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) in x 3.231 * [taylor]: Taking taylor expansion of 3/32 in x 3.231 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 3.231 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.231 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.232 * [taylor]: Taking taylor expansion of 1.0 in x 3.232 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.232 * [taylor]: Taking taylor expansion of x in x 3.236 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 3.236 * [taylor]: Taking taylor expansion of 0.25 in x 3.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.236 * [taylor]: Taking taylor expansion of x in x 3.237 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (/ 1 x)))) in x 3.237 * [taylor]: Taking taylor expansion of 2 in x 3.237 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 3.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.238 * [taylor]: Taking taylor expansion of (- (log 2) (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (* 2 (log (sqrt (/ 1 x)))))) in x 3.238 * [taylor]: Taking taylor expansion of (log 2) in x 3.238 * [taylor]: Taking taylor expansion of 2 in x 3.239 * [taylor]: Taking taylor expansion of (+ (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) (* 2 (log (sqrt (/ 1 x))))) in x 3.239 * [taylor]: Taking taylor expansion of (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ 0.25 (pow x 2))) in x 3.239 * [taylor]: Rewrote expression to (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (/ 0.25 (pow x 2))) 3.239 * [taylor]: Taking taylor expansion of (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) in x 3.239 * [taylor]: Taking taylor expansion of 3/32 in x 3.239 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 3.239 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.239 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.239 * [taylor]: Taking taylor expansion of 1.0 in x 3.240 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.240 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 3.244 * [taylor]: Taking taylor expansion of 0.25 in x 3.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (/ 1 x)))) in x 3.244 * [taylor]: Taking taylor expansion of 2 in x 3.245 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 3.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.297 * [approximate]: Taking taylor expansion of (- (log 2) (+ (* 2 (log (sqrt x))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in (x) around 0 3.298 * [taylor]: Taking taylor expansion of (- (log 2) (+ (* 2 (log (sqrt x))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 3.298 * [taylor]: Taking taylor expansion of (log 2) in x 3.298 * [taylor]: Taking taylor expansion of 2 in x 3.298 * [taylor]: Taking taylor expansion of (+ (* 2 (log (sqrt x))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 3.298 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt x))) in x 3.298 * [taylor]: Taking taylor expansion of 2 in x 3.298 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 3.298 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.298 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 3.300 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 3.300 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 3.300 * [taylor]: Taking taylor expansion of 3/32 in x 3.300 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.300 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.300 * [taylor]: Taking taylor expansion of x in x 3.300 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.300 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.300 * [taylor]: Taking taylor expansion of 1.0 in x 3.300 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.301 * [taylor]: Taking taylor expansion of 0.25 in x 3.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.301 * [taylor]: Taking taylor expansion of x in x 3.301 * [taylor]: Taking taylor expansion of (- (log 2) (+ (* 2 (log (sqrt x))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 3.301 * [taylor]: Taking taylor expansion of (log 2) in x 3.301 * [taylor]: Taking taylor expansion of 2 in x 3.301 * [taylor]: Taking taylor expansion of (+ (* 2 (log (sqrt x))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 3.301 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt x))) in x 3.301 * [taylor]: Taking taylor expansion of 2 in x 3.301 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 3.301 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.301 * [taylor]: Taking taylor expansion of x in x 3.302 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 3.302 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 3.302 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 3.303 * [taylor]: Taking taylor expansion of 3/32 in x 3.303 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.303 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.303 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.303 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.303 * [taylor]: Taking taylor expansion of 1.0 in x 3.303 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.303 * [taylor]: Taking taylor expansion of 0.25 in x 3.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.303 * [taylor]: Taking taylor expansion of x in x 3.335 * [approximate]: Taking taylor expansion of (- (log 2) (+ (* 2 (log (sqrt (* -1 x)))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in (x) around 0 3.335 * [taylor]: Taking taylor expansion of (- (log 2) (+ (* 2 (log (sqrt (* -1 x)))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 3.335 * [taylor]: Taking taylor expansion of (log 2) in x 3.335 * [taylor]: Taking taylor expansion of 2 in x 3.336 * [taylor]: Taking taylor expansion of (+ (* 2 (log (sqrt (* -1 x)))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 3.336 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (* -1 x)))) in x 3.336 * [taylor]: Taking taylor expansion of 2 in x 3.336 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 x))) in x 3.336 * [taylor]: Taking taylor expansion of (sqrt (* -1 x)) in x 3.336 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.336 * [taylor]: Taking taylor expansion of -1 in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.338 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 3.338 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 3.338 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 3.338 * [taylor]: Taking taylor expansion of 3/32 in x 3.338 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.338 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.338 * [taylor]: Taking taylor expansion of x in x 3.338 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.338 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.338 * [taylor]: Taking taylor expansion of 1.0 in x 3.339 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.339 * [taylor]: Taking taylor expansion of 0.25 in x 3.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.339 * [taylor]: Taking taylor expansion of x in x 3.339 * [taylor]: Taking taylor expansion of (- (log 2) (+ (* 2 (log (sqrt (* -1 x)))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))))) in x 3.339 * [taylor]: Taking taylor expansion of (log 2) in x 3.339 * [taylor]: Taking taylor expansion of 2 in x 3.339 * [taylor]: Taking taylor expansion of (+ (* 2 (log (sqrt (* -1 x)))) (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2)))) in x 3.339 * [taylor]: Taking taylor expansion of (* 2 (log (sqrt (* -1 x)))) in x 3.339 * [taylor]: Taking taylor expansion of 2 in x 3.339 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 x))) in x 3.339 * [taylor]: Taking taylor expansion of (sqrt (* -1 x)) in x 3.339 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.339 * [taylor]: Taking taylor expansion of -1 in x 3.339 * [taylor]: Taking taylor expansion of x in x 3.341 * [taylor]: Taking taylor expansion of (fma 3/32 (* (pow x 4) (pow (sqrt 1.0) 4)) (* 0.25 (pow x 2))) in x 3.341 * [taylor]: Rewrote expression to (+ (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) (* 0.25 (pow x 2))) 3.341 * [taylor]: Taking taylor expansion of (* 3/32 (* (pow x 4) (pow (sqrt 1.0) 4))) in x 3.341 * [taylor]: Taking taylor expansion of 3/32 in x 3.341 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.341 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.341 * [taylor]: Taking taylor expansion of x in x 3.341 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.341 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.341 * [taylor]: Taking taylor expansion of 1.0 in x 3.342 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 3.342 * [taylor]: Taking taylor expansion of 0.25 in x 3.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.342 * [taylor]: Taking taylor expansion of x in x 3.381 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 3.381 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in (x) around 0 3.381 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 3.381 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.381 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.381 * [taylor]: Taking taylor expansion of 1.0 in x 3.382 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.382 * [taylor]: Taking taylor expansion of x in x 3.386 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 4) (pow x 4)) in x 3.386 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.386 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.386 * [taylor]: Taking taylor expansion of 1.0 in x 3.387 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.387 * [taylor]: Taking taylor expansion of x in x 3.417 * [approximate]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in (x) around 0 3.417 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.417 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.417 * [taylor]: Taking taylor expansion of x in x 3.417 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.417 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.417 * [taylor]: Taking taylor expansion of 1.0 in x 3.418 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.418 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.418 * [taylor]: Taking taylor expansion of x in x 3.418 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.418 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.418 * [taylor]: Taking taylor expansion of 1.0 in x 3.457 * [approximate]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in (x) around 0 3.457 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.457 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.457 * [taylor]: Taking taylor expansion of x in x 3.457 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.457 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.457 * [taylor]: Taking taylor expansion of 1.0 in x 3.458 * [taylor]: Taking taylor expansion of (* (pow x 4) (pow (sqrt 1.0) 4)) in x 3.458 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.458 * [taylor]: Taking taylor expansion of x in x 3.458 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 4) in x 3.458 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.458 * [taylor]: Taking taylor expansion of 1.0 in x 3.489 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.489 * [approximate]: Taking taylor expansion of (sqrt (/ 1 x)) in (x) around 0 3.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.489 * [taylor]: Taking taylor expansion of x in x 3.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.491 * [taylor]: Taking taylor expansion of x in x 3.497 * [approximate]: Taking taylor expansion of (sqrt x) in (x) around 0 3.497 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.499 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.499 * [taylor]: Taking taylor expansion of x in x 3.504 * [approximate]: Taking taylor expansion of (sqrt (* -1 x)) in (x) around 0 3.504 * [taylor]: Taking taylor expansion of (sqrt (* -1 x)) in x 3.504 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.504 * [taylor]: Taking taylor expansion of -1 in x 3.504 * [taylor]: Taking taylor expansion of x in x 3.506 * [taylor]: Taking taylor expansion of (sqrt (* -1 x)) in x 3.506 * [taylor]: Taking taylor expansion of (* -1 x) in x 3.506 * [taylor]: Taking taylor expansion of -1 in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.513 * * * [progress]: simplifying candidates 3.528 * [simplify]: Simplifying using # : (expm1 (/ (* 1/4 1.0) (pow x 2))) (log1p (/ (* 1/4 1.0) (pow x 2))) (- (+ (log 1/4) (log 1.0)) (* (log x) 2)) (- (+ (log 1/4) (log 1.0)) (* (log x) 2)) (- (+ (log 1/4) (log 1.0)) (log (pow x 2))) (- (log (* 1/4 1.0)) (* (log x) 2)) (- (log (* 1/4 1.0)) (* (log x) 2)) (- (log (* 1/4 1.0)) (log (pow x 2))) (log (/ (* 1/4 1.0) (pow x 2))) (exp (/ (* 1/4 1.0) (pow x 2))) (/ (* (* (* 1/4 1/4) 1/4) (* (* 1.0 1.0) 1.0)) (* (* (pow x 2) (pow x 2)) (pow x 2))) (/ (* (* (* 1/4 1.0) (* 1/4 1.0)) (* 1/4 1.0)) (* (* (pow x 2) (pow x 2)) (pow x 2))) (* (cbrt (/ (* 1/4 1.0) (pow x 2))) (cbrt (/ (* 1/4 1.0) (pow x 2)))) (cbrt (/ (* 1/4 1.0) (pow x 2))) (* (* (/ (* 1/4 1.0) (pow x 2)) (/ (* 1/4 1.0) (pow x 2))) (/ (* 1/4 1.0) (pow x 2))) (sqrt (/ (* 1/4 1.0) (pow x 2))) (sqrt (/ (* 1/4 1.0) (pow x 2))) (- (* 1/4 1.0)) (- (pow x 2)) (/ 1/4 (pow (* (cbrt x) (cbrt x)) 2)) (/ 1.0 (pow (cbrt x) 2)) (/ 1/4 (pow (sqrt x) 2)) (/ 1.0 (pow (sqrt x) 2)) (/ 1/4 (pow 1 2)) (/ 1.0 (pow x 2)) (/ 1/4 x) (/ 1.0 x) (/ 1/4 (* (cbrt 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(pow x 2)))) (log (sqrt (/ 1 x)))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (- (* (log x) (/ (- 1) 2)))) (fma (- (log x)) (/ (- 1) 2) (* (log x) (/ (- 1) 2))) (fma (* (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x)))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (- (* (log (/ 1 x)) (/ 1 2)))) (fma (- (log (/ 1 x))) (/ 1 2) (* (log (/ 1 x)) (/ 1 2))) (fma (* (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x)))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (- (* (cbrt (log (sqrt (/ 1 x)))) (* (cbrt (log (sqrt (/ 1 x)))) (cbrt (log (sqrt (/ 1 x)))))))) (fma (- (cbrt (log (sqrt (/ 1 x))))) (* (cbrt (log (sqrt (/ 1 x)))) (cbrt (log (sqrt (/ 1 x))))) (* (cbrt (log (sqrt (/ 1 x)))) (* (cbrt (log (sqrt (/ 1 x)))) (cbrt (log (sqrt (/ 1 x))))))) (fma (* (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x)))))) (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (- (* (sqrt (log (sqrt (/ 1 x)))) (sqrt (log (sqrt (/ 1 x))))))) (fma (- (sqrt (log (sqrt (/ 1 x))))) (sqrt (log (sqrt (/ 1 x)))) (* (sqrt (log (sqrt (/ 1 x)))) (sqrt (log (sqrt (/ 1 x)))))) (fma (* (cbrt (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (sqrt (/ 1 x))))) (cbrt (- (- (log 2) 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(pow x 2))) (* 2 (log +nan.0))))) (- (log 2) (+ (* 2 (log (/ 1 x))) (- (* 2 (log +nan.0)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (log 2) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* 2 (log +nan.0)) (* 2 (log (/ -1 x)))) (* +nan.0 (/ 1 x))))) (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (pow (sqrt 1.0) 4) (pow x 4)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 3.555 * * [simplify]: iteration 0 : 1020 enodes (cost 6725 ) 3.573 * * [simplify]: iteration 1 : 4029 enodes (cost 4192 ) 3.637 * * [simplify]: iteration 2 : 5001 enodes (cost 3976 ) 3.655 * [simplify]: Simplified to: (expm1 (/ (* 1/4 1.0) (pow x 2))) (log1p (/ (* 1/4 1.0) (pow x 2))) (log (/ (* 1/4 1.0) (pow x 2))) (log (/ (* 1/4 1.0) (pow x 2))) (log (/ (* 1/4 1.0) (pow x 2))) (log (/ (* 1/4 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x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) (fma +nan.0 (- (/ 1 x) (/ 1 (pow x 3))) (/ (- +nan.0) (pow x 2))) 3.658 * * * [progress]: adding candidates to table 4.841 * [progress]: [Phase 3 of 3] Extracting. 4.841 * * [regime]: Finding splitpoints for: (# #) 4.843 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.843 * * * * [regimes]: Trying to branch on x from (# #) 4.860 * * * [regime]: Found split indices: #