9.623 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (log (+ x (sqrt (+ (* x x) 1.0)))) 0.089 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.091 * * [simplify]: iteration 1 : 10 enodes (cost 5 ) 0.091 * [simplify]: Simplified to: (log (+ x (sqrt (+ (* x x) 1.0)))) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.103 * * * [progress]: generating rewritten candidates 0.103 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.107 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.116 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.125 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 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 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.168 * [approximate]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.168 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (log (+ (sqrt (+ (pow x 2) 1.0)) x)) in x 0.171 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of 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 0.272 * [approximate]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (log (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.344 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.345 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in (x) around 0 0.345 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.345 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (pow x 2) 1.0)) x) in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) 1.0)) in x 0.346 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.353 * [approximate]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.354 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.372 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.372 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) 1.0)) in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of 1.0 in x 0.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.399 * * * [progress]: simplifying candidates 0.400 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (* (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (sqrt (+ (* x x) 1.0))) (sqrt (* (cbrt (+ (* x x) 1.0)) (cbrt (+ (* x x) 1.0)))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (sqrt (+ (* x x) 1.0)) (sqrt (+ (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log 1) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (exp (log (+ x (sqrt (+ (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (* (* (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0))))) (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (* (exp x) (exp (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ x (sqrt (+ (* x x) 1.0)))) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (* (* (+ x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0)))) (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0))))) (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0)))) (- x (sqrt (+ (* x x) 1.0))) (+ x (sqrt (+ (* x x) 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ x (* 0.5 (/ 1 x)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 0.25 (/ 1 (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 0.09375 (/ 1 (pow x 4))))) (- (+ (log 0.5) (+ (* 0.125 (/ 1 (pow x 4))) (log (/ -1 x)))) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.0078125 (/ 1 (* (pow x 4) (pow 0.5 2)))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 0.5 (/ 1 x))) (* 0.125 (/ 1 (pow x 3)))) (- (* 0.125 (/ 1 (pow x 3))) (+ (* 0.5 (/ 1 x)) (* 0.0625 (/ 1 (pow x 5))))) 0.405 * * [simplify]: iteration 0 : 331 enodes (cost 422 ) 0.411 * * [simplify]: iteration 1 : 1127 enodes (cost 385 ) 0.432 * * [simplify]: iteration 2 : 5002 enodes (cost 366 ) 0.434 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) 1.0))) (log1p (sqrt (+ (* x x) 1.0))) (log (sqrt (+ (* x x) 1.0))) (exp (sqrt (+ (* x x) 1.0))) (* (cbrt (sqrt (+ (* x x) 1.0))) (cbrt (sqrt (+ (* x x) 1.0)))) (cbrt (sqrt (+ (* x x) 1.0))) (pow (hypot x (sqrt 1.0)) 3) (fabs (cbrt (+ (* x x) 1.0))) (sqrt (cbrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (sqrt 1) (hypot x (sqrt 1.0)) (hypot (pow 1.0 3/2) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (- (* x x) 1.0)) 1/2 (sqrt (sqrt (+ (* x x) 1.0))) (sqrt (sqrt (+ (* x x) 1.0))) (expm1 (log (+ x (sqrt (+ (* x x) 1.0))))) (log1p (log (+ x (sqrt (+ (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (+ (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) (log (sqrt (+ x (sqrt (+ (* x x) 1.0))))) 0 (log (+ x (sqrt (+ (* x x) 1.0)))) 0 (log (+ x (sqrt (+ (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))) (* x (sqrt (+ (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (+ (* x x) 1.0)) (sqrt (+ (* x x) 1.0))))) (log (- x (sqrt (+ (* x x) 1.0)))) (log (+ x (sqrt (+ (* x x) 1.0)))) (log (log (+ x (sqrt (+ (* x x) 1.0))))) (+ (hypot x (sqrt 1.0)) x) (* (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (+ (* x x) 1.0))))) (pow (log (+ x (sqrt (+ (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (sqrt (log (+ x (sqrt (+ (* x x) 1.0))))) (expm1 (+ x (sqrt (+ (* x x) 1.0)))) (log1p (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (log (+ x (sqrt (+ (* x x) 1.0)))) (exp (+ (hypot x (sqrt 1.0)) x)) (* (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (cbrt (+ x (sqrt (+ (* x x) 1.0))))) (cbrt (+ x (sqrt (+ (* x x) 1.0)))) (pow (+ x (sqrt (+ (* x x) 1.0))) 3) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (sqrt (+ x (sqrt (+ (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (+ (* x x) 1.0)) 3)) (+ (fma x x 1.0) (* x (- x (sqrt (+ (* x x) 1.0))))) (- 0 1.0) (- x (sqrt (+ (* x x) 1.0))) (+ (hypot x (sqrt 1.0)) x) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))) (- (- (/ 0.125 (pow x 3)) x) (/ 0.5 x)) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))) (- (fma 0.125 (/ 1 (pow x 4)) (log (/ -1 x))) (- (fma 0.25 (/ 1 (pow x 2)) (/ (/ 0.0078125 (pow 0.5 2)) (pow x 4))) (log 0.5))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 0.125) (/ 1 (pow x 3)) (fma x 2 (/ 0.5 x))) (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (- 0.0625) (pow x 5)))) 0.434 * * * [progress]: adding candidates to table 0.596 * * [progress]: iteration 2 / 4 0.596 * * * [progress]: picking best candidate 0.604 * * * * [pick]: Picked # 0.604 * * * [progress]: localizing error 0.615 * * * [progress]: generating rewritten candidates 0.615 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.685 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.838 * * * [progress]: generating series expansions 0.838 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.839 * [approximate]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.839 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.839 * [taylor]: Taking taylor expansion of 1/6 in x 0.839 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.839 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.839 * [taylor]: Taking taylor expansion of 1.0 in x 0.843 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.843 * [taylor]: Taking taylor expansion of 1/6 in x 0.843 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.843 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) 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 0.880 * [approximate]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.880 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.880 * [taylor]: Taking taylor expansion of 1/6 in x 0.880 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.880 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.880 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [taylor]: Taking taylor expansion of (/ 1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.885 * [taylor]: Taking taylor expansion of 1/6 in x 0.885 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.885 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [approximate]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.924 * [taylor]: Taking taylor expansion of -1/6 in x 0.924 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.924 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (/ -1/6 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 0.929 * [taylor]: Taking taylor expansion of -1/6 in x 0.929 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 0.929 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.929 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.929 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.929 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.965 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in (x) around 0 0.965 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.965 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.965 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.965 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.965 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.968 * [taylor]: Taking taylor expansion of 1/6 in x 0.968 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.968 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.968 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) in x 0.971 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) in x 0.972 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 0.972 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [taylor]: Taking taylor expansion of (/ x (sqrt 1.0)) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) in x 0.974 * [taylor]: Taking taylor expansion of 1/6 in x 0.974 * [taylor]: Taking taylor expansion of (/ (pow x 3) (pow (sqrt 1.0) 3)) in x 0.974 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 0.974 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.006 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 1.006 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.006 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.007 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.010 * [taylor]: Taking taylor expansion of 1/6 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.010 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.010 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.010 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.015 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (/ 1 (* x (sqrt 1.0)))) in x 1.015 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.015 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.016 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.019 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.019 * [taylor]: Taking taylor expansion of 1/6 in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.019 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.019 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.019 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.019 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [approximate]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in (x) around 0 1.060 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 1.060 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.060 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.060 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.061 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.061 * [taylor]: Taking taylor expansion of 1/6 in x 1.061 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.061 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.061 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.062 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.062 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.067 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (- (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) (/ 1 (* x (sqrt 1.0)))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (log (sqrt 1.0)) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))))) in x 1.069 * [taylor]: Taking taylor expansion of (log (sqrt 1.0)) in x 1.069 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.070 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3)))) in x 1.071 * [taylor]: Taking taylor expansion of 1/6 in x 1.071 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 3) (pow (sqrt 1.0) 3))) in x 1.071 * [taylor]: Taking taylor expansion of (* (pow x 3) (pow (sqrt 1.0) 3)) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 3) in x 1.071 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (* x (sqrt 1.0))) in x 1.075 * [taylor]: Taking taylor expansion of (* x (sqrt 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * * * [progress]: simplifying candidates 1.113 * [simplify]: Simplifying using # : (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (* (log x) 3) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (* (log (sqrt 1.0)) 3))) (+ (log 1/6) (- (log (pow x 3)) (log (pow (sqrt 1.0) 3)))) (+ (log 1/6) (log (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (exp (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (/ (* (* (pow x 3) (pow x 3)) (pow x 3)) (* (* (pow (sqrt 1.0) 3) (pow (sqrt 1.0) 3)) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 1/6) 1/6) (* (* (/ (pow x 3) (pow (sqrt 1.0) 3)) (/ (pow x 3) (pow (sqrt 1.0) 3))) (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (sqrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (sqrt (pow x 3)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt (sqrt 1.0)) 3))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (sqrt (pow (sqrt 1.0) 3)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* (sqrt 1/6) (/ (pow x (/ 3 2)) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (* (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))) (cbrt (/ (pow x 3) (pow (sqrt 1.0) 3))))) (* 1/6 (sqrt (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow 1 3))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt 1.0))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) 1)) (* 1/6 (/ (pow (* (cbrt x) (cbrt x)) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow 1 3))) (* 1/6 (/ (pow (sqrt x) 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow (sqrt x) 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow (sqrt x) 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow (sqrt x) 3) (pow 1 3))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt 1.0))) (* 1/6 (/ (pow (sqrt x) 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow (sqrt x) 3) 1)) (* 1/6 (/ (pow (sqrt x) 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (pow 1 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow 1 3))) (* 1/6 (/ (pow 1 3) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (pow 1 3) (* (cbrt (pow (sqrt 1.0) 3)) (cbrt (pow (sqrt 1.0) 3))))) (* 1/6 (/ (pow 1 3) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt 1) 3))) (* 1/6 (/ (pow 1 3) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (pow 1 3) (pow 1 3))) (* 1/6 (/ (pow 1 3) (sqrt 1.0))) (* 1/6 (/ (pow 1 3) (sqrt (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow 1 3) 1)) (* 1/6 (/ (pow 1 3) (pow (sqrt 1.0) (/ 3 2)))) (* 1/6 (/ (* x x) (pow (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 3))) (* 1/6 (/ (* x x) (pow (sqrt (* (cbrt 1.0) (cbrt 1.0))) 3))) (* 1/6 (/ (* x x) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (* x x) (pow (sqrt 1) 3))) (* 1/6 (/ (* x x) (pow (sqrt (sqrt 1.0)) 3))) (* 1/6 (/ (* x x) (pow 1 3))) (* 1/6 (/ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (* 1/6 (/ (* x x) (* (cbrt (pow (sqrt 1.0) 3)) 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1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (sqrt (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (* (+ (pow (log (sqrt 1.0)) 3) (pow (/ x (sqrt 1.0)) 3)) (pow (sqrt 1.0) 3)) (* (+ (* (log (sqrt 1.0)) (log (sqrt 1.0))) (- (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (* (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (* 1/6 (pow x 3)))) (* (+ (* (log (sqrt 1.0)) (log (sqrt 1.0))) (- (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0))) (* (log (sqrt 1.0)) (/ x (sqrt 1.0))))) (pow (sqrt 1.0) 3)) (- (* (- (* (log (sqrt 1.0)) (log (sqrt 1.0))) (* (/ x (sqrt 1.0)) (/ x (sqrt 1.0)))) (pow (sqrt 1.0) 3)) (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (pow x 3)))) (* (- (log (sqrt 1.0)) (/ x (sqrt 1.0))) (pow (sqrt 1.0) 3)) (- (pow (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) 3) (pow (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) 3)) (+ (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (+ (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (+ (log (sqrt 1.0)) (/ x (sqrt 1.0)))) (* (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (/ x (sqrt 1.0)) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) 1.127 * * [simplify]: iteration 0 : 888 enodes (cost 2345 ) 1.144 * * [simplify]: iteration 1 : 4813 enodes (cost 1909 ) 1.220 * * [simplify]: iteration 2 : 5001 enodes (cost 1888 ) 1.229 * [simplify]: Simplified to: (expm1 (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (log1p (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/6 (pow (/ x (sqrt 1.0)) 3)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (fma 3 (log (/ x (sqrt 1.0))) (log 1/6)) (pow (exp (pow (/ x (sqrt 1.0)) 3)) 1/6) (* 1/216 (pow (pow (/ x (sqrt 1.0)) 3) 3)) (* 1/216 (pow (pow (/ x (sqrt 1.0)) 3) 3)) (* (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (cbrt (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (* 1/216 (pow (pow (/ x (sqrt 1.0)) 3) 3)) (sqrt (* 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[progress]: adding candidates to table 1.662 * * [progress]: iteration 3 / 4 1.662 * * * [progress]: picking best candidate 1.668 * * * * [pick]: Picked # 1.668 * * * [progress]: localizing error 1.676 * * * [progress]: generating rewritten candidates 1.676 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.678 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.680 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 2) 1.681 * * * [progress]: generating series expansions 1.682 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.682 * [approximate]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in (x) around 0 1.682 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.682 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.683 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.683 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.683 * [taylor]: Taking taylor expansion of (* x x) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.683 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.684 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.684 * [taylor]: Taking taylor expansion of 1.0 in x 1.693 * [taylor]: Taking taylor expansion of (log (+ x (hypot x (sqrt 1.0)))) in x 1.693 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.693 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.693 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.693 * [taylor]: Taking taylor expansion of (* x x) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.693 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.694 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.694 * [taylor]: Taking taylor expansion of 1.0 in x 1.742 * [approximate]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.742 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.743 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [taylor]: Taking taylor expansion of (log (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 1.747 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.747 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.747 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.747 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.748 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.822 * [approximate]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.822 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.822 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.822 * [taylor]: Taking taylor expansion of -1 in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.823 * [taylor]: Taking taylor expansion of -1 in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.823 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.823 * [taylor]: Taking taylor expansion of 1.0 in x 1.824 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 1.841 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 1.841 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 1.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.841 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.841 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.841 * [taylor]: Taking taylor expansion of -1 in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.842 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.842 * [taylor]: Taking taylor expansion of 1.0 in x 1.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.956 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.956 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 1.957 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.957 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.957 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.957 * [taylor]: Taking taylor expansion of (* x x) in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of x in x 1.957 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.957 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.957 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.957 * [taylor]: Taking taylor expansion of 1.0 in x 1.963 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 1.963 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 1.963 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 1.963 * [taylor]: Taking taylor expansion of (* x x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.963 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 1.964 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.964 * [taylor]: Taking taylor expansion of 1.0 in x 1.977 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 1.978 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.978 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.978 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.978 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.978 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.978 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.978 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.982 * [taylor]: Taking taylor expansion of x in x 1.982 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 1.982 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 1.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 1.983 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 1.983 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 1.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.983 * [taylor]: Taking taylor expansion of x in x 1.983 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 1.983 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.983 * [taylor]: Taking taylor expansion of 1.0 in x 1.984 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.984 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 2.018 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 2.018 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.018 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.018 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.018 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.018 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.018 * [taylor]: Taking taylor expansion of -1 in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.019 * [taylor]: Taking taylor expansion of -1 in x 2.019 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.019 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.019 * [taylor]: Taking taylor expansion of 1.0 in x 2.020 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.020 * [taylor]: Taking taylor expansion of 1.0 in x 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.023 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.023 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.023 * [taylor]: Taking taylor expansion of -1 in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.024 * [taylor]: Taking taylor expansion of -1 in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.024 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.024 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.024 * [taylor]: Taking taylor expansion of 1.0 in x 2.025 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.025 * [taylor]: Taking taylor expansion of 1.0 in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.083 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 2) 2.083 * [approximate]: Taking taylor expansion of (hypot x (sqrt 1.0)) in (x) around 0 2.083 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.083 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.083 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.083 * [taylor]: Taking taylor expansion of (* x x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.083 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.083 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.089 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.089 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.089 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.089 * [taylor]: Taking taylor expansion of (* x x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.089 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.089 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.113 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in (x) around 0 2.113 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.114 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.114 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.114 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.114 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.115 * [taylor]: Taking taylor expansion of 1.0 in x 2.118 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.118 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.118 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.118 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.119 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.119 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.119 * [taylor]: Taking taylor expansion of 1.0 in x 2.119 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.119 * [taylor]: Taking taylor expansion of 1.0 in x 2.143 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in (x) around 0 2.143 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.143 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.143 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.143 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.143 * [taylor]: Taking taylor expansion of -1 in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.144 * [taylor]: Taking taylor expansion of -1 in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.144 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.144 * [taylor]: Taking taylor expansion of 1.0 in x 2.145 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.145 * [taylor]: Taking taylor expansion of 1.0 in x 2.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.152 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.152 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.152 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.152 * [taylor]: Taking taylor expansion of -1 in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.152 * [taylor]: Taking taylor expansion of -1 in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.153 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.153 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.153 * [taylor]: Taking taylor expansion of 1.0 in x 2.154 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.154 * [taylor]: Taking taylor expansion of 1.0 in x 2.177 * * * [progress]: simplifying candidates 2.178 * [simplify]: Simplifying using # : (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log 1) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (exp (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* (* (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (exp x) (exp (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (* (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (expm1 (hypot x (sqrt 1.0))) (log1p (hypot x (sqrt 1.0))) (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) (log (hypot x (sqrt 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (hypot x (sqrt 1.0))) (cbrt (hypot x (sqrt 1.0)))) (cbrt (hypot x (sqrt 1.0))) (* (* (hypot x (sqrt 1.0)) (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (log 2)) (+ (log (/ 1 x)) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))))) (- (+ (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4))) (+ (log (* 1/2 (pow (sqrt 1.0) 2))) (log (/ -1 x)))) (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))) (- (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ x (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.183 * * [simplify]: iteration 0 : 288 enodes (cost 436 ) 2.188 * * [simplify]: iteration 1 : 1009 enodes (cost 384 ) 2.206 * * [simplify]: iteration 2 : 4313 enodes (cost 367 ) 2.281 * * [simplify]: iteration 3 : 5001 enodes (cost 362 ) 2.283 * [simplify]: Simplified to: (expm1 (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log1p (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (* 2 (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) 0 (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3))) (log (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (- x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (fma (hypot x (sqrt 1.0)) (sqrt 1) x) (* (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (pow (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) 3) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (sqrt (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (log (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (exp (fma (hypot x (sqrt 1.0)) (sqrt 1) x)) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (pow (fma (hypot x (sqrt 1.0)) (sqrt 1) x) 3) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) (* x (sqrt 1))) (pow x 2)) (fma (- (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (pow x 2)) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (expm1 (hypot x (sqrt 1.0))) (log1p (hypot x (sqrt 1.0))) (fma x x 1.0) (log (hypot x (sqrt 1.0))) (exp (hypot x (sqrt 1.0))) (* (cbrt (hypot x (sqrt 1.0))) (cbrt (hypot x (sqrt 1.0)))) (cbrt (hypot x (sqrt 1.0))) (pow (hypot x (sqrt 1.0)) 3) (sqrt (hypot x (sqrt 1.0))) (sqrt (hypot x (sqrt 1.0))) (- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (+ (fma (/ 1/4 x) (/ 1.0 x) (log 2)) (- (log x) (/ (* (* 1.0 1.0) 3/32) (pow x 4)))) (+ (fma 3/32 (/ 1.0 (/ (pow x 4) 1.0)) (log (/ -1 x))) (- (log (* 1/2 (pow (sqrt 1.0) 2))) (/ (* 1/4 1.0) (pow x 2)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ 1.0 (/ x 1/2)))) (fma (/ 1/8 (pow x 3)) (* 1.0 1.0) (- (* (- 1/2) (/ 1.0 x)) (/ (pow 1.0 3) (/ (pow x 5) 1/16)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma 1/2 (/ 1.0 x) x)) (- (- (/ (* (* 1.0 1.0) 1/8) (pow x 3)) x) (/ 1.0 (/ x 1/2))) 2.283 * * * [progress]: adding candidates to table 2.423 * * [progress]: iteration 4 / 4 2.423 * * * [progress]: picking best candidate 2.428 * * * * [pick]: Picked # 2.428 * * * [progress]: localizing error 2.439 * * * [progress]: generating rewritten candidates 2.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.444 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.446 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.452 * * * [progress]: generating series expansions 2.452 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.453 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.453 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.453 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.453 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.453 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.453 * [taylor]: Taking taylor expansion of (* x x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.453 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.463 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.463 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.463 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.463 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.463 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.463 * [taylor]: Taking taylor expansion of (* x x) in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.463 * [taylor]: Taking taylor expansion of x in x 2.463 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.463 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.570 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.570 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.570 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.570 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.570 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.570 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.570 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.570 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.571 * [taylor]: Taking taylor expansion of x in x 2.571 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.571 * [taylor]: Taking taylor expansion of 1.0 in x 2.572 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.572 * [taylor]: Taking taylor expansion of 1.0 in x 2.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.575 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.577 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.577 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.577 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.577 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.577 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.577 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.577 * [taylor]: Taking taylor expansion of x in x 2.577 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.577 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.577 * [taylor]: Taking taylor expansion of 1.0 in x 2.578 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.578 * [taylor]: Taking taylor expansion of 1.0 in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.623 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.623 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.623 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.623 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.623 * [taylor]: Taking taylor expansion of -1 in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.623 * [taylor]: Taking taylor expansion of -1 in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.624 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.624 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.624 * [taylor]: Taking taylor expansion of 1.0 in x 2.624 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.624 * [taylor]: Taking taylor expansion of 1.0 in x 2.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.628 * [taylor]: Taking taylor expansion of x in x 2.640 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.641 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.641 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.641 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.641 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.641 * [taylor]: Taking taylor expansion of -1 in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.641 * [taylor]: Taking taylor expansion of -1 in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.641 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.641 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.735 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.735 * [approximate]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in (x) around 0 2.735 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.735 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.735 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.735 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.735 * [taylor]: Taking taylor expansion of (* x x) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.735 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.736 * [taylor]: Taking taylor expansion of 1.0 in x 2.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.736 * [taylor]: Taking taylor expansion of 1.0 in x 2.744 * [taylor]: Taking taylor expansion of (log (sqrt (+ x (hypot x (sqrt 1.0))))) in x 2.744 * [taylor]: Taking taylor expansion of (sqrt (+ x (hypot x (sqrt 1.0)))) in x 2.744 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 2.745 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 2.745 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 2.745 * [taylor]: Taking taylor expansion of (* x x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.745 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.745 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.745 * [taylor]: Taking taylor expansion of 1.0 in x 2.857 * [approximate]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.857 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.857 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.857 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.857 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.858 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.858 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.858 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.858 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.858 * [taylor]: Taking taylor expansion of 1.0 in x 2.859 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.859 * [taylor]: Taking taylor expansion of 1.0 in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (log (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.864 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x))) in x 2.864 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 2.864 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 2.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.864 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.864 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.864 * [taylor]: Taking taylor expansion of 1.0 in x 2.865 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.865 * [taylor]: Taking taylor expansion of 1.0 in x 2.868 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.868 * [taylor]: Taking taylor expansion of x in x 2.912 * [approximate]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in (x) around 0 2.912 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.912 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.912 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.912 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.912 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.912 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.912 * [taylor]: Taking taylor expansion of -1 in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.913 * [taylor]: Taking taylor expansion of -1 in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.913 * [taylor]: Taking taylor expansion of 1.0 in x 2.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.914 * [taylor]: Taking taylor expansion of 1.0 in x 2.917 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.917 * [taylor]: Taking taylor expansion of x in x 2.929 * [taylor]: Taking taylor expansion of (log (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)))) in x 2.930 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x))) in x 2.930 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 2.930 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 2.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 2.930 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 2.930 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.930 * [taylor]: Taking taylor expansion of -1 in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.930 * [taylor]: Taking taylor expansion of -1 in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 2.930 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.930 * [taylor]: Taking taylor expansion of 1.0 in x 2.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.931 * [taylor]: Taking taylor expansion of 1.0 in x 2.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.934 * [taylor]: Taking taylor expansion of x in x 3.026 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.027 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 3.027 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.027 * [taylor]: Taking taylor expansion of x in x 3.027 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.027 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.027 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.027 * [taylor]: Taking taylor expansion of (* x x) in x 3.027 * [taylor]: Taking taylor expansion of x in x 3.027 * [taylor]: Taking taylor expansion of x in x 3.027 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.027 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.027 * [taylor]: Taking taylor expansion of 1.0 in x 3.028 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.028 * [taylor]: Taking taylor expansion of 1.0 in x 3.033 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.033 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.033 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.033 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.033 * [taylor]: Taking taylor expansion of (* x x) in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.033 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.033 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.033 * [taylor]: Taking taylor expansion of 1.0 in x 3.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.034 * [taylor]: Taking taylor expansion of 1.0 in x 3.047 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.047 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.047 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.047 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.047 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.048 * [taylor]: Taking taylor expansion of x in x 3.048 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.048 * [taylor]: Taking taylor expansion of 1.0 in x 3.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.049 * [taylor]: Taking taylor expansion of 1.0 in x 3.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.052 * [taylor]: Taking taylor expansion of x in x 3.052 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.052 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.052 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.052 * [taylor]: Taking taylor expansion of x in x 3.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.052 * [taylor]: Taking taylor expansion of x in x 3.052 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.053 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.053 * [taylor]: Taking taylor expansion of 1.0 in x 3.053 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.053 * [taylor]: Taking taylor expansion of 1.0 in x 3.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.056 * [taylor]: Taking taylor expansion of x in x 3.089 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.089 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.089 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.090 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.090 * [taylor]: Taking taylor expansion of -1 in x 3.090 * [taylor]: Taking taylor expansion of x in x 3.090 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.090 * [taylor]: Taking taylor expansion of -1 in x 3.090 * [taylor]: Taking taylor expansion of x in x 3.090 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.090 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.090 * [taylor]: Taking taylor expansion of 1.0 in x 3.091 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.091 * [taylor]: Taking taylor expansion of 1.0 in x 3.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.094 * [taylor]: Taking taylor expansion of x in x 3.094 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.094 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.095 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.095 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.095 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.095 * [taylor]: Taking taylor expansion of -1 in x 3.095 * [taylor]: Taking taylor expansion of x in x 3.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.095 * [taylor]: Taking taylor expansion of -1 in x 3.095 * [taylor]: Taking taylor expansion of x in x 3.095 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.096 * [taylor]: Taking taylor expansion of 1.0 in x 3.096 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.096 * [taylor]: Taking taylor expansion of 1.0 in x 3.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.099 * [taylor]: Taking taylor expansion of x in x 3.158 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.158 * [approximate]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in (x) around 0 3.158 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.158 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.159 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.159 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.159 * [taylor]: Taking taylor expansion of (* x x) in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of x in x 3.159 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.159 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.159 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.159 * [taylor]: Taking taylor expansion of 1.0 in x 3.165 * [taylor]: Taking taylor expansion of (+ x (hypot x (sqrt 1.0))) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of (hypot x (sqrt 1.0)) in x 3.165 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* (sqrt 1.0) (sqrt 1.0)))) 3.165 * [taylor]: Taking taylor expansion of (+ (* x x) (* (sqrt 1.0) (sqrt 1.0))) in x 3.165 * [taylor]: Taking taylor expansion of (* x x) in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.165 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.165 * [taylor]: Taking taylor expansion of 1.0 in x 3.166 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.166 * [taylor]: Taking taylor expansion of 1.0 in x 3.179 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.179 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.179 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.180 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.180 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.180 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.180 * [taylor]: Taking taylor expansion of x in x 3.180 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.180 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.180 * [taylor]: Taking taylor expansion of 1.0 in x 3.181 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.181 * [taylor]: Taking taylor expansion of 1.0 in x 3.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.184 * [taylor]: Taking taylor expansion of x in x 3.184 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 x) (sqrt 1.0)) (/ 1 x)) in x 3.184 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (sqrt 1.0)) in x 3.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.184 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.184 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 3.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.184 * [taylor]: Taking taylor expansion of x in x 3.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.185 * [taylor]: Taking taylor expansion of x in x 3.185 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.185 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.185 * [taylor]: Taking taylor expansion of 1.0 in x 3.186 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.186 * [taylor]: Taking taylor expansion of 1.0 in x 3.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.189 * [taylor]: Taking taylor expansion of x in x 3.217 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in (x) around 0 3.217 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.217 * [taylor]: Taking taylor expansion of -1 in x 3.217 * [taylor]: Taking taylor expansion of x in x 3.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.217 * [taylor]: Taking taylor expansion of -1 in x 3.217 * [taylor]: Taking taylor expansion of x in x 3.217 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.218 * [taylor]: Taking taylor expansion of 1.0 in x 3.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.218 * [taylor]: Taking taylor expansion of 1.0 in x 3.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.221 * [taylor]: Taking taylor expansion of x in x 3.222 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 x) (sqrt 1.0)) (/ 1 x)) in x 3.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (sqrt 1.0)) in x 3.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0)))) 3.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (sqrt 1.0) (sqrt 1.0))) in x 3.222 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 3.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.222 * [taylor]: Taking taylor expansion of -1 in x 3.222 * [taylor]: Taking taylor expansion of x in x 3.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.222 * [taylor]: Taking taylor expansion of -1 in x 3.222 * [taylor]: Taking taylor expansion of x in x 3.222 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt 1.0)) in x 3.222 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.222 * [taylor]: Taking taylor expansion of 1.0 in x 3.223 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.223 * [taylor]: Taking taylor expansion of 1.0 in x 3.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.226 * [taylor]: Taking taylor expansion of x in x 3.282 * * * [progress]: simplifying candidates 3.283 * [simplify]: Simplifying using # : (expm1 (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log1p (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (* (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt 1)) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log 1) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)))) (log (sqrt (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (- x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (exp (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (* (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (* (* (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (expm1 (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log1p (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (* (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt 1)) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log 1) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)))) (log (sqrt (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (- x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (exp (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (* (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (* (* (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (exp x) (exp (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (* (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (exp x) (exp (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (* (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (- (+ (* 1/2 (/ x (sqrt 1.0))) (log (sqrt (sqrt 1.0)))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3)))) (- (log +nan.0) (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) x))))))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (+ x (+ (sqrt 1.0) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 2 x) (* 1/2 (/ (pow (sqrt 1.0) 2) x))) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (- (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (+ (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 3.289 * * [simplify]: iteration 0 : 301 enodes (cost 916 ) 3.294 * * [simplify]: iteration 1 : 1005 enodes (cost 822 ) 3.313 * * [simplify]: iteration 2 : 4610 enodes (cost 794 ) 3.407 * * [simplify]: iteration 3 : 5001 enodes (cost 788 ) 3.411 * [simplify]: Simplified to: (expm1 (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log1p (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (* 2 (log (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt 1)) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) 0 (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)))) (log (sqrt (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (- x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (pow (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) 3) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (expm1 (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log1p (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (* 2 (log (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (cbrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt 1)) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) 0 (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (sqrt (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)))) (log (sqrt (+ (* x x) (- (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0)))) (* x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (log (sqrt (- (* x x) (* (* (sqrt 1) (hypot x (sqrt 1.0))) (* (sqrt 1) (hypot x (sqrt 1.0))))))) (log (sqrt (- x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))))) (cbrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (pow (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) 3) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (sqrt (log (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (pow (fma (hypot x (sqrt 1.0)) (sqrt 1) x) 3) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) (* x (sqrt 1))) (pow x 2)) (fma (- (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (pow x 2)) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (expm1 (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log1p (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (log (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (exp (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (* (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (pow (fma (hypot x (sqrt 1.0)) (sqrt 1) x) 3) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (sqrt (+ x (* (sqrt 1) (hypot x (sqrt 1.0))))) (+ (pow x 3) (pow (* (sqrt 1) (hypot x (sqrt 1.0))) 3)) (fma (hypot x (sqrt 1.0)) (- (hypot x (sqrt 1.0)) (* x (sqrt 1))) (pow x 2)) (fma (- (hypot x (sqrt 1.0))) (hypot x (sqrt 1.0)) (pow x 2)) (- x (* (sqrt 1) (hypot x (sqrt 1.0)))) (fma 1/2 (/ x (sqrt 1.0)) (- (log (sqrt (sqrt 1.0))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (- (log +nan.0) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x)))) (/ +nan.0 x)) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (- (/ (* (* 1.0 1.0) +nan.0) (pow x 2)) (* (/ 1.0 x) (- (/ +nan.0 x) +nan.0)))) (fma 1/2 (/ x (sqrt 1.0)) (- (log (sqrt (sqrt 1.0))) (* 1/12 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (- (log +nan.0) (* (/ +nan.0 x) (- (/ 1.0 x) (/ 1 x)))) (/ +nan.0 x)) (- (+ (log (* +nan.0 (pow (sqrt 1.0) 2))) (log (/ -1 x))) (- (/ (* (* 1.0 1.0) +nan.0) (pow x 2)) (* (/ 1.0 x) (- (/ +nan.0 x) +nan.0)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ (* 1.0 1/2) x))) (- (/ (* (* 1.0 1.0) 1/8) (pow x 3)) (- (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* (- 1/2) (/ 1.0 x)))) (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (+ x (sqrt 1.0))) (fma (- 1/8) (/ 1.0 (/ (pow x 3) 1.0)) (fma x 2 (/ (* 1.0 1/2) x))) (- (/ (* (* 1.0 1.0) 1/8) (pow x 3)) (- (* 1/16 (/ (pow (sqrt 1.0) 6) (pow x 5))) (* (- 1/2) (/ 1.0 x)))) 3.411 * * * [progress]: adding candidates to table 3.699 * [progress]: [Phase 3 of 3] Extracting. 3.699 * * [regime]: Finding splitpoints for: (# # # #) 3.699 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.699 * * * * [regimes]: Trying to branch on x from (# # # #) 3.727 * * * [regime]: Found split indices: #