9.440 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.140 * * * [progress]: [2/2] Setting up program. 0.144 * [progress]: [Phase 2 of 3] Improving. 0.144 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.147 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.149 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.151 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.151 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.152 * * [progress]: iteration 1 / 4 0.152 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.167 * * * [progress]: generating rewritten candidates 0.167 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.185 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.201 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.204 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 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 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.250 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.250 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.250 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.259 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.307 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.361 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.361 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.361 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.370 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.370 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.370 * [taylor]: Taking taylor expansion of x in x 0.370 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.441 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.441 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.443 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.454 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of 1.0 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.473 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.508 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.509 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.509 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.517 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * * * [progress]: simplifying candidates 0.547 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (log (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log 1) (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (exp (log (+ x (sqrt (- (* x x) 1.0))))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (* (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (fma x x (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))) (fma x x (- (* (sqrt 1.0) (sqrt 1.0)))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0))) (fma x x (- (* 1.0 1))) (fma (- 1.0) 1 (* 1.0 1)) (expm1 (- (* x x) 1.0)) (log1p (- (* x x) 1.0)) (- 1.0) (/ (exp (* x x)) (exp 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (* (* (- (* x x) 1.0) (- (* x x) 1.0)) (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0))) (- 1.0) (- (* (* x x) (* x x)) (* 1.0 1.0)) (+ (* x x) 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 1.0) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) (- (pow x 2) 1.0) (- (pow x 2) 1.0) (- (pow x 2) 1.0) 0.553 * * [simplify]: iteration 0 : 384 enodes (cost 531 ) 0.559 * * [simplify]: iteration 1 : 1360 enodes (cost 471 ) 0.585 * * [simplify]: iteration 2 : 5002 enodes (cost 457 ) 0.587 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (pow (+ x (sqrt (- (* x x) 1.0))) 3) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (sqrt (- (* x x) 1.0))))) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (* x x) 1.0) (fma (- 1.0) 1 1.0) (- (* x x) 1.0) (fma (- 1.0) 1 1.0) (- (* x x) 1.0) (fma (- 1.0) 1 1.0) (expm1 (- (* x x) 1.0)) (log1p (- (* x x) 1.0)) (- 1.0) (exp (- (* x x) 1.0)) (log (- (* x x) 1.0)) (exp (- (* x x) 1.0)) (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0))) (cbrt (- (* x x) 1.0)) (pow (- (* x x) 1.0) 3) (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)) (- (pow (* x x) 3) (pow 1.0 3)) (fma 1.0 (fma x x 1.0) (pow x 4)) (- 1.0) (fma (- 1.0) 1.0 (pow x 4)) (fma x x 1.0) (+ x (sqrt 1.0)) (- x (sqrt 1.0)) (- 1.0) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (fma 2 x (- (fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3)))))) (fma 0.0625 (/ 1 (pow x 5)) (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (* x x) 1.0) (- (* x x) 1.0) (- (* x x) 1.0) 0.588 * * * [progress]: adding candidates to table 0.753 * * [progress]: iteration 2 / 4 0.753 * * * [progress]: picking best candidate 0.760 * * * * [pick]: Picked # 0.760 * * * [progress]: localizing error 0.770 * * * [progress]: generating rewritten candidates 0.770 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.782 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.787 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.794 * * * [progress]: generating series expansions 0.794 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.795 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.795 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.795 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.804 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.804 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.805 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.805 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.851 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.851 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.852 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.852 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.852 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.859 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.859 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.859 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.860 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.892 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.892 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.892 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.892 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.892 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.892 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.892 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.903 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.994 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.994 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 0.994 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 0.994 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.994 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.995 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 0.995 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.995 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.008 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.008 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.008 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.100 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.100 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.101 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.101 * [taylor]: Taking taylor expansion of x in x 1.101 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.101 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.102 * [taylor]: Taking taylor expansion of 1.0 in x 1.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.102 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.109 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.109 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.196 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.196 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.196 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.196 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.196 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.196 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.196 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.197 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.199 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.199 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.269 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.270 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.270 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.270 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.270 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.279 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.279 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.489 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.489 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.489 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.489 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.489 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.489 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.490 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.497 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.497 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.497 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.498 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.537 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.537 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.537 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.539 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.539 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.539 * [taylor]: Taking taylor expansion of 1.0 in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.542 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.542 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.542 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.545 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.545 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.545 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.589 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.590 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 1.590 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.590 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 1.593 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.610 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.610 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.611 * [taylor]: Taking taylor expansion of x in x 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 1.612 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.631 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 1.631 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.631 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.631 * [taylor]: Taking taylor expansion of 1.0 in x 1.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.634 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.634 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.634 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.634 * [taylor]: Taking taylor expansion of 1.0 in x 1.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.635 * [taylor]: Taking taylor expansion of x in x 1.650 * * * [progress]: simplifying candidates 1.651 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log 1) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (exp (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* (* (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 1/4 (/ (pow (sqrt 1.0) 2) (pow x 2))) (* 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)))))) (- (log -1) (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (log (/ -1 x)) (+ (* +nan.0 (/ 1 (pow x 2))) (- (* +nan.0 (/ 1 x))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 1.659 * * [simplify]: iteration 0 : 524 enodes (cost 1160 ) 1.667 * * [simplify]: iteration 1 : 1847 enodes (cost 1044 ) 1.696 * * [simplify]: iteration 2 : 5001 enodes (cost 1027 ) 1.701 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt 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1.0)))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* 2 (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* 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(sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (pow (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) 3) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (- (+ (pow x 2) (fma x x (- 1.0))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (fma x x (- (fma x x (- 1.0)))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (sqrt (+ x (sqrt 1.0)))) (log1p (sqrt (+ x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (pow (sqrt (+ x (sqrt 1.0))) 3) (fabs (cbrt (+ x (sqrt 1.0)))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) 1 (sqrt (+ x (sqrt 1.0))) 1 (sqrt (+ x (sqrt 1.0))) (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (hypot x (sqrt (* -1 (pow (sqrt 1.0) 2)))) (sqrt (- x (sqrt 1.0))) 1/2 (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (- (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3))))) (- (- x (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (fma (- +nan.0) (/ (/ 1.0 x) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (fma (- +nan.0) (/ 1 (pow x 2)) (fma +nan.0 (/ 1 x) (fma (- +nan.0) (/ (sqrt 1.0) x) +nan.0))))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (/ 1 x))) (+ (- (log -1) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (log (/ -1 x)))) (* +nan.0 (- (/ 1 (pow x 2)) (/ 1 x)))) (fma 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (- (* 2 x) (/ (* 1/2 1.0) x)) (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3)))) (+ (- x +nan.0) (* +nan.0 (- (/ (sqrt 1.0) x) (/ 1 x)))) (fma (* 1/2 x) (sqrt (/ 1 (sqrt 1.0))) (- (sqrt (sqrt 1.0)) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) (fma (- +nan.0) (/ (sqrt 1.0) x) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))))) 1.701 * * * [progress]: adding candidates to table 1.949 * * [progress]: iteration 3 / 4 1.949 * * * [progress]: picking best candidate 1.953 * * * * [pick]: Picked # 1.953 * * * [progress]: localizing error 1.966 * * * [progress]: generating rewritten candidates 1.966 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.970 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.136 * * * [progress]: generating series expansions 2.136 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.136 * [approximate]: Taking taylor expansion of (/ 0.09375 (pow x 4)) in (x) around 0 2.136 * [taylor]: Taking taylor expansion of (/ 0.09375 (pow x 4)) in x 2.136 * [taylor]: Taking taylor expansion of 0.09375 in x 2.136 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.137 * [taylor]: Taking taylor expansion of (/ 0.09375 (pow x 4)) in x 2.137 * [taylor]: Taking taylor expansion of 0.09375 in x 2.137 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.137 * [taylor]: Taking taylor expansion of x in x 2.148 * [approximate]: Taking taylor expansion of (* 0.09375 (pow x 4)) in (x) around 0 2.148 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.148 * [taylor]: Taking taylor expansion of 0.09375 in x 2.148 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.148 * [taylor]: Taking taylor expansion of 0.09375 in x 2.148 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.159 * [approximate]: Taking taylor expansion of (* 0.09375 (pow x 4)) in (x) around 0 2.159 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.159 * [taylor]: Taking taylor expansion of 0.09375 in x 2.159 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.159 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.159 * [taylor]: Taking taylor expansion of 0.09375 in x 2.159 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.159 * [taylor]: Taking taylor expansion of x in x 2.170 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.171 * [approximate]: Taking taylor expansion of (- (+ (log x) (log 2)) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4))))) in (x) around 0 2.171 * [taylor]: Taking taylor expansion of (- (+ (log x) (log 2)) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4))))) in x 2.171 * [taylor]: Taking taylor expansion of (+ (log x) (log 2)) in x 2.171 * [taylor]: Taking taylor expansion of (log x) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.171 * [taylor]: Taking taylor expansion of (log 2) in x 2.171 * [taylor]: Taking taylor expansion of 2 in x 2.171 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4)))) in x 2.171 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.171 * [taylor]: Taking taylor expansion of 0.25 in x 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.172 * [taylor]: Taking taylor expansion of (* 0.09375 (/ 1 (pow x 4))) in x 2.172 * [taylor]: Taking taylor expansion of 0.09375 in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.172 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.173 * [taylor]: Taking taylor expansion of (- (+ (log x) (log 2)) (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4))))) in x 2.173 * [taylor]: Taking taylor expansion of (+ (log x) (log 2)) in x 2.173 * [taylor]: Taking taylor expansion of (log x) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.173 * [taylor]: Taking taylor expansion of (log 2) in x 2.173 * [taylor]: Taking taylor expansion of 2 in x 2.173 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (pow x 2))) (* 0.09375 (/ 1 (pow x 4)))) in x 2.173 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.173 * [taylor]: Taking taylor expansion of 0.25 in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.174 * [taylor]: Taking taylor expansion of (* 0.09375 (/ 1 (pow x 4))) in x 2.174 * [taylor]: Taking taylor expansion of 0.09375 in x 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 2.174 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.198 * [approximate]: Taking taylor expansion of (- (+ (log (/ 1 x)) (log 2)) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in (x) around 0 2.198 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 x)) (log 2)) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.198 * [taylor]: Taking taylor expansion of (+ (log (/ 1 x)) (log 2)) in x 2.198 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.198 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (log 2) in x 2.199 * [taylor]: Taking taylor expansion of 2 in x 2.199 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.199 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.199 * [taylor]: Taking taylor expansion of 0.25 in x 2.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.199 * [taylor]: Taking taylor expansion of 0.09375 in x 2.199 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (- (+ (log (/ 1 x)) (log 2)) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.199 * [taylor]: Taking taylor expansion of (+ (log (/ 1 x)) (log 2)) in x 2.199 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (log 2) in x 2.200 * [taylor]: Taking taylor expansion of 2 in x 2.200 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.200 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.200 * [taylor]: Taking taylor expansion of 0.25 in x 2.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.200 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.200 * [taylor]: Taking taylor expansion of 0.09375 in x 2.200 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.200 * [taylor]: Taking taylor expansion of x in x 2.231 * [approximate]: Taking taylor expansion of (- (+ (log 2) (log (/ -1 x))) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in (x) around 0 2.231 * [taylor]: Taking taylor expansion of (- (+ (log 2) (log (/ -1 x))) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.231 * [taylor]: Taking taylor expansion of (+ (log 2) (log (/ -1 x))) in x 2.231 * [taylor]: Taking taylor expansion of (log 2) in x 2.231 * [taylor]: Taking taylor expansion of 2 in x 2.231 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.231 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.231 * [taylor]: Taking taylor expansion of -1 in x 2.231 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.232 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.232 * [taylor]: Taking taylor expansion of 0.25 in x 2.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.232 * [taylor]: Taking taylor expansion of 0.09375 in x 2.232 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of (- (+ (log 2) (log (/ -1 x))) (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4)))) in x 2.232 * [taylor]: Taking taylor expansion of (+ (log 2) (log (/ -1 x))) in x 2.232 * [taylor]: Taking taylor expansion of (log 2) in x 2.232 * [taylor]: Taking taylor expansion of 2 in x 2.232 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.232 * [taylor]: Taking taylor expansion of -1 in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (+ (* 0.25 (pow x 2)) (* 0.09375 (pow x 4))) in x 2.233 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.233 * [taylor]: Taking taylor expansion of 0.25 in x 2.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of (* 0.09375 (pow x 4)) in x 2.233 * [taylor]: Taking taylor expansion of 0.09375 in x 2.233 * [taylor]: Taking taylor expansion of (pow x 4) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.270 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.270 * [approximate]: Taking taylor expansion of (/ 0.25 (pow x 2)) in (x) around 0 2.270 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 2.270 * [taylor]: Taking taylor expansion of 0.25 in x 2.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.270 * [taylor]: Taking taylor expansion of (/ 0.25 (pow x 2)) in x 2.270 * [taylor]: Taking taylor expansion of 0.25 in x 2.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.270 * [taylor]: Taking taylor expansion of x in x 2.277 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 2.277 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.277 * [taylor]: Taking taylor expansion of 0.25 in x 2.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.277 * [taylor]: Taking taylor expansion of x in x 2.277 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.278 * [taylor]: Taking taylor expansion of 0.25 in x 2.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.278 * [taylor]: Taking taylor expansion of x in x 2.285 * [approximate]: Taking taylor expansion of (* 0.25 (pow x 2)) in (x) around 0 2.285 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.285 * [taylor]: Taking taylor expansion of 0.25 in x 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.285 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.285 * [taylor]: Taking taylor expansion of 0.25 in x 2.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.285 * [taylor]: Taking taylor expansion of x in x 2.293 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.293 * [approximate]: Taking taylor expansion of (- (log x) (* 0.25 (/ 1 (pow x 2)))) in (x) around 0 2.293 * [taylor]: Taking taylor expansion of (- (log x) (* 0.25 (/ 1 (pow x 2)))) in x 2.293 * [taylor]: Taking taylor expansion of (log x) in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.293 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.293 * [taylor]: Taking taylor expansion of 0.25 in x 2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.293 * [taylor]: Taking taylor expansion of x in x 2.294 * [taylor]: Taking taylor expansion of (- (log x) (* 0.25 (/ 1 (pow x 2)))) in x 2.294 * [taylor]: Taking taylor expansion of (log x) in x 2.294 * [taylor]: Taking taylor expansion of x in x 2.294 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 2.294 * [taylor]: Taking taylor expansion of 0.25 in x 2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.294 * [taylor]: Taking taylor expansion of x in x 2.349 * [approximate]: Taking taylor expansion of (- (log (/ 1 x)) (* 0.25 (pow x 2))) in (x) around 0 2.349 * [taylor]: Taking taylor expansion of (- (log (/ 1 x)) (* 0.25 (pow x 2))) in x 2.349 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.350 * [taylor]: Taking taylor expansion of 0.25 in x 2.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of (- (log (/ 1 x)) (* 0.25 (pow x 2))) in x 2.350 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.350 * [taylor]: Taking taylor expansion of 0.25 in x 2.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.467 * [approximate]: Taking taylor expansion of (- (log (/ -1 x)) (* 0.25 (pow x 2))) in (x) around 0 2.467 * [taylor]: Taking taylor expansion of (- (log (/ -1 x)) (* 0.25 (pow x 2))) in x 2.467 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.467 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.467 * [taylor]: Taking taylor expansion of -1 in x 2.467 * [taylor]: Taking taylor expansion of x in x 2.467 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.468 * [taylor]: Taking taylor expansion of 0.25 in x 2.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.468 * [taylor]: Taking taylor expansion of (- (log (/ -1 x)) (* 0.25 (pow x 2))) in x 2.468 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.468 * [taylor]: Taking taylor expansion of -1 in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.468 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 2.468 * [taylor]: Taking taylor expansion of 0.25 in x 2.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.592 * * * [progress]: simplifying candidates 2.605 * [simplify]: Simplifying using # : (expm1 (/ 0.09375 (pow x 4))) (log1p (/ 0.09375 (pow x 4))) (- (log 0.09375) (* (log x) 4)) (- (log 0.09375) (* (log x) 4)) (- (log 0.09375) (log (pow x 4))) (log (/ 0.09375 (pow x 4))) (exp (/ 0.09375 (pow x 4))) (/ (* (* 0.09375 0.09375) 0.09375) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (/ 0.09375 (pow x 4))) (cbrt (/ 0.09375 (pow x 4)))) (cbrt (/ 0.09375 (pow x 4))) (* (* (/ 0.09375 (pow x 4)) (/ 0.09375 (pow x 4))) (/ 0.09375 (pow x 4))) (sqrt (/ 0.09375 (pow x 4))) (sqrt (/ 0.09375 (pow x 4))) (- 0.09375) (- (pow x 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow (* (cbrt x) (cbrt x)) 4)) (/ (cbrt 0.09375) (pow (cbrt x) 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow (sqrt x) 4)) (/ (cbrt 0.09375) (pow (sqrt x) 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (pow 1 4)) (/ (cbrt 0.09375) (pow x 4)) (/ (* (cbrt 0.09375) (cbrt 0.09375)) (* (cbrt (pow x 4)) 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(/ 0.25 x) x)) (- (log x) (/ (/ 0.25 x) x)) (- (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)) (/ 0.09375 (pow x 4)) (/ 0.09375 (pow x 4)) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log 2) (- (- (log x) (/ (/ 0.25 x) x)) (/ 0.09375 (pow x 4)))) (+ (log -1) (- (log 2) (fma 0.25 (/ 1 (pow x 2)) (fma 0.09375 (/ 1 (pow x 4)) (log (/ -1 x)))))) (/ (/ 0.25 x) x) (/ (/ 0.25 x) x) (/ (/ 0.25 x) x) (- (log x) (/ (/ 0.25 x) x)) (- (log x) (/ (/ 0.25 x) x)) (- (log -1) (+ (* 0.25 (/ 1 (pow x 2))) (log (/ -1 x)))) 2.783 * * * [progress]: adding candidates to table 4.523 * * [progress]: iteration 4 / 4 4.523 * * * [progress]: picking best candidate 4.525 * * * * [pick]: Picked # 4.525 * * * [progress]: localizing error 4.536 * * * [progress]: generating rewritten candidates 4.536 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 4.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.546 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.553 * * * [progress]: generating series expansions 4.553 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 4.553 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 4.553 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 4.553 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 4.553 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.553 * [taylor]: Taking taylor expansion of x in x 4.553 * [taylor]: Taking taylor expansion of 1.0 in x 4.556 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 4.556 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 4.556 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.556 * [taylor]: Taking taylor expansion of x in x 4.556 * [taylor]: Taking taylor expansion of 1.0 in x 4.573 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 4.573 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.574 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.574 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.574 * [taylor]: Taking taylor expansion of x in x 4.574 * [taylor]: Taking taylor expansion of 1.0 in x 4.576 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [taylor]: Taking taylor expansion of 1.0 in x 4.588 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 4.588 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.588 * [taylor]: Taking taylor expansion of x in x 4.589 * [taylor]: Taking taylor expansion of 1.0 in x 4.590 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.590 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.590 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.590 * [taylor]: Taking taylor expansion of x in x 4.591 * [taylor]: Taking taylor expansion of 1.0 in x 4.602 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.602 * [approximate]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))) in (x) around 0 4.602 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.602 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 4.602 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.602 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 4.602 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 4.603 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 4.603 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 4.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.603 * [taylor]: Taking taylor expansion of x in x 4.603 * [taylor]: Taking taylor expansion of 1.0 in x 4.605 * [taylor]: Taking taylor expansion of x in x 4.608 * [taylor]: Taking taylor expansion of 1 in x 4.608 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.608 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 4.608 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.608 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 4.608 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 4.608 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 4.608 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 4.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.608 * [taylor]: Taking taylor expansion of x in x 4.608 * [taylor]: Taking taylor expansion of 1.0 in x 4.610 * [taylor]: Taking taylor expansion of x in x 4.613 * [taylor]: Taking taylor expansion of 1 in x 4.657 * [approximate]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in (x) around 0 4.657 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.657 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 4.657 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.657 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 4.657 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 4.657 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.657 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.657 * [taylor]: Taking taylor expansion of x in x 4.658 * [taylor]: Taking taylor expansion of 1.0 in x 4.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.660 * [taylor]: Taking taylor expansion of x in x 4.662 * [taylor]: Taking taylor expansion of 1 in x 4.662 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.662 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 4.662 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.662 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 4.662 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 4.662 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.662 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.662 * [taylor]: Taking taylor expansion of x in x 4.662 * [taylor]: Taking taylor expansion of 1.0 in x 4.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.664 * [taylor]: Taking taylor expansion of x in x 4.666 * [taylor]: Taking taylor expansion of 1 in x 4.731 * [approximate]: Taking taylor expansion of (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in (x) around 0 4.731 * [taylor]: Taking taylor expansion of (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.731 * [taylor]: Rewrote expression to (- (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 4.731 * [taylor]: Taking taylor expansion of (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.731 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 4.731 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 4.731 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.731 * [taylor]: Taking taylor expansion of x in x 4.731 * [taylor]: Taking taylor expansion of 1.0 in x 4.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.733 * [taylor]: Taking taylor expansion of x in x 4.741 * [taylor]: Taking taylor expansion of 1 in x 4.742 * [taylor]: Taking taylor expansion of (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.742 * [taylor]: Rewrote expression to (- (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 4.742 * [taylor]: Taking taylor expansion of (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.742 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 4.742 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 4.742 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.742 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.742 * [taylor]: Taking taylor expansion of 1.0 in x 4.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.744 * [taylor]: Taking taylor expansion of x in x 4.752 * [taylor]: Taking taylor expansion of 1 in x 4.837 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.838 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x)))) in (x) around 0 4.838 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x)))) in x 4.838 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))))) 4.838 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x)))) in x 4.838 * [taylor]: Taking taylor expansion of 1 in x 4.838 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.838 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 4.838 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.838 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 4.838 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 4.838 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 4.838 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 4.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.838 * [taylor]: Taking taylor expansion of x in x 4.838 * [taylor]: Taking taylor expansion of 1.0 in x 4.840 * [taylor]: Taking taylor expansion of x in x 4.843 * [taylor]: Taking taylor expansion of 1 in x 4.846 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x)))) in x 4.846 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))))) 4.846 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x)))) in x 4.846 * [taylor]: Taking taylor expansion of 1 in x 4.846 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.846 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) 1) 4.846 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (pow x 2) 1.0)) x))) in x 4.846 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 4.846 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 4.846 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 4.846 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 4.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.847 * [taylor]: Taking taylor expansion of x in x 4.847 * [taylor]: Taking taylor expansion of 1.0 in x 4.849 * [taylor]: Taking taylor expansion of x in x 4.851 * [taylor]: Taking taylor expansion of 1 in x 4.973 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in (x) around 0 4.973 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 4.973 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))))) 4.973 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 4.973 * [taylor]: Taking taylor expansion of 1 in x 4.973 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.973 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 4.973 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.973 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 4.973 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 4.974 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.974 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.974 * [taylor]: Taking taylor expansion of x in x 4.974 * [taylor]: Taking taylor expansion of 1.0 in x 4.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.976 * [taylor]: Taking taylor expansion of x in x 4.978 * [taylor]: Taking taylor expansion of 1 in x 4.980 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 4.980 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))))) 4.980 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 4.980 * [taylor]: Taking taylor expansion of 1 in x 4.980 * [taylor]: Taking taylor expansion of (expm1 (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.980 * [taylor]: Rewrote expression to (- (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 4.980 * [taylor]: Taking taylor expansion of (exp (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 4.980 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 4.980 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 4.980 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 4.980 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 4.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.980 * [taylor]: Taking taylor expansion of x in x 4.981 * [taylor]: Taking taylor expansion of 1.0 in x 4.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.982 * [taylor]: Taking taylor expansion of x in x 4.984 * [taylor]: Taking taylor expansion of 1 in x 5.057 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in (x) around 0 5.057 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 5.058 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))))) 5.058 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 5.058 * [taylor]: Taking taylor expansion of 1 in x 5.058 * [taylor]: Taking taylor expansion of (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 5.058 * [taylor]: Rewrote expression to (- (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 5.058 * [taylor]: Taking taylor expansion of (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 5.058 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 5.058 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 5.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 5.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 5.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.058 * [taylor]: Taking taylor expansion of x in x 5.058 * [taylor]: Taking taylor expansion of 1.0 in x 5.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.060 * [taylor]: Taking taylor expansion of x in x 5.069 * [taylor]: Taking taylor expansion of 1 in x 5.071 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 5.071 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))))) 5.071 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))))) in x 5.071 * [taylor]: Taking taylor expansion of 1 in x 5.071 * [taylor]: Taking taylor expansion of (expm1 (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 5.071 * [taylor]: Rewrote expression to (- (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) 1) 5.071 * [taylor]: Taking taylor expansion of (exp (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)))) in x 5.071 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 5.071 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 5.071 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 5.071 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 5.071 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.071 * [taylor]: Taking taylor expansion of x in x 5.072 * [taylor]: Taking taylor expansion of 1.0 in x 5.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.074 * [taylor]: Taking taylor expansion of x in x 5.082 * [taylor]: Taking taylor expansion of 1 in x 5.191 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.191 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 5.191 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 5.191 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 5.191 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 5.191 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 5.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.191 * [taylor]: Taking taylor expansion of x in x 5.191 * [taylor]: Taking taylor expansion of 1.0 in x 5.193 * [taylor]: Taking taylor expansion of x in x 5.195 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 5.195 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 5.195 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 5.195 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 5.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.195 * [taylor]: Taking taylor expansion of x in x 5.195 * [taylor]: Taking taylor expansion of 1.0 in x 5.197 * [taylor]: Taking taylor expansion of x in x 5.244 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 5.244 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 5.244 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 5.244 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 5.244 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 5.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.244 * [taylor]: Taking taylor expansion of x in x 5.245 * [taylor]: Taking taylor expansion of 1.0 in x 5.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.247 * [taylor]: Taking taylor expansion of x in x 5.247 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 5.247 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 5.247 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 5.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 5.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.248 * [taylor]: Taking taylor expansion of x in x 5.248 * [taylor]: Taking taylor expansion of 1.0 in x 5.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.250 * [taylor]: Taking taylor expansion of x in x 5.300 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 5.300 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 5.300 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 5.300 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 5.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 5.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.300 * [taylor]: Taking taylor expansion of x in x 5.300 * [taylor]: Taking taylor expansion of 1.0 in x 5.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.302 * [taylor]: Taking taylor expansion of x in x 5.308 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 5.309 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 5.309 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 5.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 5.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.309 * [taylor]: Taking taylor expansion of x in x 5.309 * [taylor]: Taking taylor expansion of 1.0 in x 5.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.311 * [taylor]: Taking taylor expansion of x in x 5.380 * * * [progress]: simplifying candidates 5.381 * [simplify]: Simplifying using # : (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (exp (log (+ x (sqrt (- (* x x) 1.0))))) (expm1 (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (log (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (exp (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (* (cbrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (cbrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (* (* (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (sqrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (sqrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (+ 1 (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (expm1 (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (log1p (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (log (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (exp (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (* (cbrt (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (cbrt (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))))) (cbrt (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (* (* (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (sqrt (log1p (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (sqrt (log1p (expm1 (log (+ x (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))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (- (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) 1) (- (exp (- (log 2) (log (/ 1 x)))) (+ (* 0.0625 (/ (exp (- (log 2) (log (/ 1 x)))) (pow x 4))) (+ (* 0.25 (/ (exp (- (log 2) (log (/ 1 x)))) (pow x 2))) 1))) (- (+ (* 0.25 (/ (exp (+ (log (- 0.5)) (log (/ -1 x)))) (pow x 2))) (+ (* 0.15625 (/ (exp (+ (log (- 0.5)) (log (/ -1 x)))) (pow x 4))) (exp (+ (log (- 0.5)) (log (/ -1 x)))))) (+ 1 (* 0.0078125 (/ (exp (+ (log (- 0.5)) (log (/ -1 x)))) (* (pow x 4) (pow -0.5 2)))))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (- (log 2) (+ (log (/ 1 x)) (+ (* 0.09375 (/ 1 (pow x 4))) (* 0.25 (/ 1 (pow x 2)))))) (- (+ (* 0.25 (/ 1 (pow x 2))) (+ (* 0.125 (/ 1 (pow x 4))) (+ (log (- 0.5)) (log (/ -1 x))))) (* 0.0078125 (/ 1 (* (pow x 4) (pow -0.5 2))))) 5.387 * * [simplify]: iteration 0 : 387 enodes (cost 591 ) 5.393 * * [simplify]: iteration 1 : 1317 enodes (cost 540 ) 5.415 * * [simplify]: iteration 2 : 5001 enodes (cost 507 ) 5.418 * [simplify]: Simplified to: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (pow (sqrt (- (* x x) 1.0)) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (expm1 (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (exp (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (* (cbrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (expm1 (log (+ x (sqrt (- (* x x) 1.0))))))) (cbrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (pow (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) 3) (sqrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (sqrt (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (+ 1 (expm1 (log (+ x (sqrt (- (* x x) 1.0)))))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (expm1 (log (+ x (sqrt (- (* x x) 1.0))))) (log1p (log (+ x (sqrt (- (* x x) 1.0))))) (* 2 (log (cbrt (+ x (sqrt (- (* x x) 1.0)))))) (log (cbrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) (log (sqrt (+ x (sqrt (- (* x x) 1.0))))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) 0 (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3))) (log (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0)))))) (log (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))))) (log (- x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3)))) (- (fma 0.5 (/ 1 x) (/ 0.125 (pow x 3))) x) (+ x (- (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) 1)) (- (- (/ 2 (/ 1 x)) 1) (* (* (/ 2 x) (/ x x)) (+ (/ 0.0625 (pow x 2)) 0.25))) (+ (- (* 0.5 (/ -1 x))) (- (* (* (/ (- 0.5) x) (/ (/ -1 x) x)) (+ 0.25 (/ 0.15625 (pow x 2)))) (fma 0.0078125 (* (/ (- 0.5) (pow -0.5 2)) (/ (/ -1 x) (pow x 4))) 1))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ 0.09375 (pow x 4))) (/ (/ 0.25 x) x))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) (- (+ (log (sqrt (- 1.0))) (/ x (sqrt (- 1.0)))) (* 1/6 (/ (pow x 3) (pow (sqrt (- 1.0)) 3)))) (+ (log 2) (- (- (log x) (/ 0.09375 (pow x 4))) (/ (/ 0.25 x) x))) (+ (fma 0.25 (/ 1 (pow x 2)) (+ (log (- 0.5)) (log (/ -1 x)))) (* (/ 1 (pow x 4)) (- 0.125 (/ 0.0078125 (pow -0.5 2))))) 5.418 * * * [progress]: adding candidates to table 5.591 * [progress]: [Phase 3 of 3] Extracting. 5.591 * * [regime]: Finding splitpoints for: (# # #) 5.591 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) (log (+ x (sqrt (- (* x x) 1.0)))) x) 5.591 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# # #) 5.612 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1.0)))) from (# # #) 5.630 * * * * [regimes]: Trying to branch on x from (# # #) 5.648 * * * [regime]: Found split indices: #