2.578 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (log (+ x (sqrt (- (* x x) 1.0)))) 0.084 * * [simplify]: iteration 0 : 11 enodes (cost 5 ) 0.085 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.086 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.086 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.089 * * * * [pick]: Picked # 0.089 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.101 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.107 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.123 * * * [progress]: generating series expansions 0.123 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.123 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.123 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.126 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.145 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.147 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.175 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.175 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.175 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.178 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.192 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.215 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.215 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.246 * [approximate]: Taking taylor expansion of (- (pow x 2) 1.0) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.290 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 0.290 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.290 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.290 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.290 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 0.294 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.294 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.294 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.344 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.344 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.401 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 0.401 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.401 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 0.410 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of 1.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.485 * * * [progress]: simplifying candidates 0.486 * [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 (+ 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) (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)))) (- (* 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) (- (+ (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))))) 0.492 * * [simplify]: iteration 0 : 384 enodes (cost 531 ) 0.498 * * [simplify]: iteration 1 : 1360 enodes (cost 471 ) 0.525 * * [simplify]: iteration 2 : 5002 enodes (cost 457 ) 0.528 * [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 (+ 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) (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) (+ (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) (- (+ (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))))) 0.528 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 2 / 4 0.697 * * * [progress]: picking best candidate 0.705 * * * * [pick]: Picked # 0.705 * * * [progress]: localizing error 0.715 * * * [progress]: generating rewritten candidates 0.715 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.728 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.731 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.736 * * * [progress]: generating series expansions 0.736 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.737 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.737 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.737 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.737 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.747 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.747 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.747 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.747 * [taylor]: Taking taylor expansion of x in x 0.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.747 * [taylor]: Taking taylor expansion of 1.0 in x 0.748 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.748 * [taylor]: Taking taylor expansion of 1.0 in x 0.797 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.797 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.797 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.798 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.806 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.806 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.806 * [taylor]: Taking taylor expansion of 1.0 in x 0.807 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.807 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.840 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.840 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.840 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.840 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.840 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.843 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.843 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.843 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.846 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.846 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.846 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.846 * [taylor]: Taking taylor expansion of 1.0 in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.938 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.939 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.940 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.940 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.949 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.949 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.949 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.949 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.986 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.986 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.986 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.987 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.987 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.994 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.994 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [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 (+ (sqrt 1.0) (/ 1 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 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.035 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.035 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.035 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.035 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.035 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.036 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.038 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.038 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.047 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.047 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.047 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.050 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.052 * [taylor]: Taking taylor expansion of x in x 1.092 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.093 * [approximate]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in (x) around 0 1.093 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.093 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.093 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.093 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (log (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))))) in x 1.107 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.107 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.107 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.108 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [approximate]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.204 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.204 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.205 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.205 * [taylor]: Taking taylor expansion of 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 (+ (sqrt 1.0) (/ 1 x)) in x 1.206 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (log (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.220 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.220 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.220 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.221 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.228 * [taylor]: Taking taylor expansion of x in x 1.506 * [approximate]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in (x) around 0 1.506 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.506 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.506 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.506 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.506 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.506 * [taylor]: Taking taylor expansion of 1.0 in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.509 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.509 * [taylor]: Taking taylor expansion of 1.0 in x 1.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.510 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.514 * [taylor]: Taking taylor expansion of (log (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.514 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.514 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.514 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.516 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.516 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.516 * [taylor]: Taking taylor expansion of 1.0 in x 1.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.517 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.519 * [taylor]: Taking taylor expansion of x in x 1.585 * * * [progress]: simplifying candidates 1.587 * [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 (+ 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 (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))))))) (- (+ (* 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))))))))))) (+ (* 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))))))) (- (+ (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))))))) 1.595 * * [simplify]: iteration 0 : 467 enodes (cost 1012 ) 1.605 * * [simplify]: iteration 1 : 1665 enodes (cost 907 ) 1.633 * * [simplify]: iteration 2 : 5001 enodes (cost 894 ) 1.638 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (fma x x (- 1.0)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (- (fma x x (pow x 2)) (+ 1.0 (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- 0 (- 1.0)) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (expm1 (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log1p (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (* 2 (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (log (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (log (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) 0 (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3))) (log (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (+ (log (+ x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))))) (log (- x (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))))) (log (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (* (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))))) (cbrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (pow (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) 3) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (sqrt (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (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))))) (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)))) (- (+ (log (sqrt (* -1 (pow (sqrt 1.0) 2)))) (/ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (* 1/6 (/ (pow x 3) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- (- (log 2) (fma 3/32 (/ (pow (sqrt 1.0) 4) (pow x 4)) (/ (* 1/4 1.0) (pow x 2)))) (log (/ 1 x))) (- (+ (- (log -1) (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (log (/ -1 x)))) (/ +nan.0 (pow x 2))) (/ +nan.0 x)) 1.639 * * * [progress]: adding candidates to table 1.845 * * [progress]: iteration 3 / 4 1.845 * * * [progress]: picking best candidate 1.847 * * * * [pick]: Picked # 1.847 * * * [progress]: localizing error 1.858 * * * [progress]: generating rewritten candidates 1.858 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 1.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.866 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.868 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.877 * * * [progress]: generating series expansions 1.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 1.877 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.877 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.880 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.899 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.899 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.899 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.906 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.919 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 1.919 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.919 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.922 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 1.922 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.922 * [taylor]: Taking taylor expansion of x in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.935 * [approximate]: Taking taylor expansion of (pow (log (+ (sqrt (- (pow x 2) 1.0)) x)) 3) in (x) around 0 1.935 * [taylor]: Taking taylor expansion of (pow (log (+ (sqrt (- (pow x 2) 1.0)) x)) 3) in x 1.935 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 1.935 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 1.935 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.935 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of (pow (log (+ (sqrt (- (pow x 2) 1.0)) x)) 3) in x 1.939 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 1.939 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 1.939 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 1.939 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 1.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of x in x 2.018 * [approximate]: Taking taylor expansion of (pow (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) 3) in (x) around 0 2.018 * [taylor]: Taking taylor expansion of (pow (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) 3) in x 2.018 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.018 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.018 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.018 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.019 * [taylor]: Taking taylor expansion of 1.0 in x 2.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.021 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of (pow (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) 3) in x 2.022 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.022 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.022 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.022 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.022 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.022 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.022 * [taylor]: Taking taylor expansion of x in x 2.022 * [taylor]: Taking taylor expansion of 1.0 in x 2.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.024 * [taylor]: Taking taylor expansion of x in x 2.103 * [approximate]: Taking taylor expansion of (pow (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) 3) in (x) around 0 2.103 * [taylor]: Taking taylor expansion of (pow (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) 3) in x 2.103 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.103 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.103 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.103 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.103 * [taylor]: Taking taylor expansion of x in x 2.103 * [taylor]: Taking taylor expansion of 1.0 in x 2.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.112 * [taylor]: Taking taylor expansion of (pow (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) 3) in x 2.113 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.113 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of 1.0 in x 2.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.244 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.244 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in (x) around 0 2.244 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.244 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.244 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.244 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.244 * [taylor]: Taking taylor expansion of 1.0 in x 2.247 * [taylor]: Taking taylor expansion of x in x 2.249 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (pow x 2) 1.0)) x)) in x 2.249 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.249 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.249 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.249 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.249 * [taylor]: Taking taylor expansion of x in x 2.249 * [taylor]: Taking taylor expansion of 1.0 in x 2.251 * [taylor]: Taking taylor expansion of x in x 2.299 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 2.299 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.299 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.299 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.299 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.299 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.299 * [taylor]: Taking taylor expansion of x in x 2.300 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.302 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.302 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.302 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.303 * [taylor]: Taking taylor expansion of 1.0 in x 2.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.355 * [approximate]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in (x) around 0 2.355 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.355 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.355 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.356 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.358 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (log (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x))) in x 2.364 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.364 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.365 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.438 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.438 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 2.438 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.438 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.438 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * [taylor]: Taking taylor expansion of x in x 2.440 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 2.440 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 2.440 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 2.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.440 * [taylor]: Taking taylor expansion of x in x 2.440 * [taylor]: Taking taylor expansion of 1.0 in x 2.443 * [taylor]: Taking taylor expansion of x in x 2.451 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 2.451 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.451 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.451 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.452 * [taylor]: Taking taylor expansion of 1.0 in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.454 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.454 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.455 * [taylor]: Taking taylor expansion of 1.0 in x 2.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.457 * [taylor]: Taking taylor expansion of x in x 2.471 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 2.471 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.471 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.471 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.471 * [taylor]: Taking taylor expansion of x in x 2.471 * [taylor]: Taking taylor expansion of 1.0 in x 2.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.473 * [taylor]: Taking taylor expansion of x in x 2.474 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 2.474 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 2.474 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.507 * * * [progress]: simplifying candidates 2.509 * [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 (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (log1p (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (* (log (log (+ x (sqrt (- (* x x) 1.0))))) 3) (* (log (log (+ x (sqrt (- (* x x) 1.0))))) 3) (* 1 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt 3) (cbrt 3))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) (sqrt 3)) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 1) (pow 1 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) 3) (pow (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) 3) (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3) (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3) (pow 1 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (log (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (exp (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (* (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (* (* (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (pow 1 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) 3) (pow (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) 3) (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3) (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3) (pow 1 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (pow (log (+ x (sqrt (- (* x x) 1.0)))) (/ 3 2)) (pow (log (+ x (sqrt (- (* x x) 1.0)))) (/ 3 2)) (expm1 (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (log1p (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (log (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (exp (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (pow (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) 3)) (cbrt (pow (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) 3)) (cbrt (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3)) (cbrt (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (* (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)))) (cbrt (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (pow (* (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0)))))) 3)) (cbrt (pow (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) 3)) (cbrt (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3)) (cbrt (pow (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt 1) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) (/ 3 2))) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) (/ 3 2))) (* (cbrt (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)))) (cbrt (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (* (* (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (sqrt (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (sqrt (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ (* 3 (/ (* (log (sqrt (- 1.0))) (pow x 2)) (pow (sqrt (- 1.0)) 2))) (+ (pow (log (sqrt (- 1.0))) 3) (* 3 (/ (* (pow (log (sqrt (- 1.0))) 2) x) (sqrt (- 1.0)))))) (- (+ (* 0.1875 (/ (log 2) (pow x 4))) (+ (* 1.5 (/ (* (log (/ 1 x)) (log 2)) (pow x 2))) (+ (pow (log 2) 3) (+ (* 0.5625 (/ (* (log (/ 1 x)) (log 2)) (pow x 4))) (* 3 (* (pow (log (/ 1 x)) 2) (log 2))))))) (+ (* 0.28125 (/ (pow (log 2) 2) (pow x 4))) (+ (* 0.1875 (/ (log (/ 1 x)) (pow x 4))) (+ (pow (log (/ 1 x)) 3) (+ (* 3 (* (log (/ 1 x)) (pow (log 2) 2))) (+ (* 0.28125 (/ (pow (log (/ 1 x)) 2) (pow x 4))) (+ (* 0.75 (/ (pow (log 2) 2) (pow x 2))) (* 0.75 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))))))) (- (+ (* 0.1875 (/ (log (/ -1 x)) (pow x 4))) (+ (* 0.375 (/ (pow (log (/ -1 x)) 2) (pow x 4))) (+ (* 0.1875 (/ (log (- 0.5)) (pow x 4))) (+ (pow (log (- 0.5)) 3) (+ (* 3 (* (log (- 0.5)) (pow (log (/ -1 x)) 2))) (+ (* 0.75 (/ (pow (log (- 0.5)) 2) (pow x 2))) (+ (* 3 (* (log (/ -1 x)) (pow (log (- 0.5)) 2))) (+ (* 0.75 (/ (pow (log (/ -1 x)) 2) (pow x 2))) (+ (* 1.5 (/ (* (log (/ -1 x)) (log (- 0.5))) (pow x 2))) (+ (* 0.75 (/ (* (log (- 0.5)) (log (/ -1 x))) (pow x 4))) (+ (pow (log (/ -1 x)) 3) (* 0.375 (/ (pow (log (- 0.5)) 2) (pow x 4)))))))))))))) (+ (* 0.0234375 (/ (pow (log (/ -1 x)) 2) (* (pow x 4) (pow -0.5 2)))) (+ (* 0.0234375 (/ (pow (log (- 0.5)) 2) (* (pow x 4) (pow -0.5 2)))) (* 0.046875 (/ (* (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))))) (+ 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)))) 2.517 * * [simplify]: iteration 0 : 744 enodes (cost 936 ) 2.531 * * [simplify]: iteration 1 : 3357 enodes (cost 877 ) 2.590 * * [simplify]: iteration 2 : 5001 enodes (cost 869 ) 2.599 * [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))) (sqrt (+ (* x x) 1.0)) 1/2 (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (log1p (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (log (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (log (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) 3 (pow (log (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt 3) (cbrt 3))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) (sqrt 3)) (log (+ x (sqrt (- (* x x) 1.0)))) 1 (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 2) (log (+ x (sqrt (- (* x x) 1.0)))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3/2) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3/2) 1 (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 2) (log (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (exp (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 2) (log (+ x (sqrt (- (* x x) 1.0)))) (pow (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) 3) 1 (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 2) (log (+ x (sqrt (- (* x x) 1.0)))) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3/2) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3/2) 1 (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 2) (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3)) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3/2) (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3/2) (expm1 (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (log1p (cbrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (log (log (+ x (sqrt (- (* x x) 1.0))))) (+ x (sqrt (- (* x x) 1.0))) 1 (log (+ x (sqrt (- (* x x) 1.0)))) (cbrt (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 1 (log (+ x (sqrt (- (* x x) 1.0)))) (cbrt (* (log (+ x (sqrt (- (* x x) 1.0)))) (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)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) 1 (log (+ x (sqrt (- (* x x) 1.0)))) (cbrt (* (log (+ x (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))))) (cbrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) 1 (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)))))) (cbrt (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) (cbrt (sqrt (pow (log (+ x (sqrt (- (* x x) 1.0)))) 3))) 1 (log (+ x (sqrt (- (* x x) 1.0)))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (sqrt (log (+ x (sqrt (- (* x x) 1.0))))) (cbrt (* (log (+ x (sqrt (- (* x x) 1.0)))) (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)) (- (+ (pow x 2) (- (* x x) 1.0)) (* x (sqrt (- (* x x) 1.0)))) (fma x x (- (- (* x x) 1.0))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (- (sqrt (- 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3))))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (fma 0.5 (/ 1 x) (- (* 0.125 (/ 1 (pow x 3))) x)) (fma (/ (* 3 (* (log (sqrt (- 1.0))) (pow x 2))) (- 1.0)) 1 (fma 3 (/ (* (pow (log (sqrt (- 1.0))) 2) x) (sqrt (- 1.0))) (pow (log (sqrt (- 1.0))) 3))) (- (- (fma (/ (log 2) (pow x 4)) 0.1875 (fma (/ (* (log (/ 1 x)) (log 2)) (pow x 2)) 1.5 (+ (fma 0.5625 (/ (* (log (/ 1 x)) (log 2)) (pow x 4)) (* 3 (* (pow (log (/ 1 x)) 2) (log 2)))) (pow (log 2) 3)))) (fma 0.28125 (/ (pow (log 2) 2) (pow x 4)) (* 0.1875 (/ (log (/ 1 x)) (pow x 4))))) (+ (fma 3 (* (log (/ 1 x)) (pow (log 2) 2)) (fma 0.28125 (/ (pow (log (/ 1 x)) 2) (pow x 4)) (fma 0.75 (/ (pow (log 2) 2) (pow x 2)) (* 0.75 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))) (pow (log (/ 1 x)) 3))) (- (- (fma (/ (log (/ -1 x)) (pow x 4)) 0.1875 (fma (/ (pow (log (/ -1 x)) 2) (pow x 4)) 0.375 (fma (/ (log (- 0.5)) (pow x 4)) 0.1875 (+ (fma 3 (* (log (- 0.5)) (pow (log (/ -1 x)) 2)) (fma 0.75 (/ (pow (log (- 0.5)) 2) (pow x 2)) (fma 3 (* (log (/ -1 x)) (pow (log (- 0.5)) 2)) (fma 0.75 (/ (pow (log (/ -1 x)) 2) (pow x 2)) (fma 1.5 (/ (* (log (/ -1 x)) (log (- 0.5))) (pow x 2)) (fma 0.75 (/ (* (log (- 0.5)) (log (/ -1 x))) (pow x 4)) (+ (pow (log (/ -1 x)) 3) (* 0.375 (/ (pow (log (- 0.5)) 2) (pow x 4)))))))))) (pow (log (- 0.5)) 3))))) (fma 0.0234375 (/ (pow (log (/ -1 x)) 2) (* (pow x 4) (pow -0.5 2))) (* 0.0234375 (/ (pow (log (- 0.5)) 2) (* (pow x 4) (pow -0.5 2)))))) (* 0.046875 (/ (* (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))) (fma 0.09375 (/ 1 (pow x 4)) (* 0.25 (/ 1 (pow x 2))))) (fma 0.25 (/ 1 (pow x 2)) (- (fma 0.125 (/ 1 (pow x 4)) (+ (log (- 0.5)) (log (/ -1 x)))) (* 0.0078125 (/ 1 (* (pow x 4) (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)))) 2.600 * * * [progress]: adding candidates to table 2.811 * [progress]: [Phase 3 of 3] Extracting. 2.811 * * [regime]: Finding splitpoints for: (# #) 2.811 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) (log (+ x (sqrt (- (* x x) 1.0)))) x) 2.811 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# #) 2.824 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1.0)))) from (# #) 2.845 * * * * [regimes]: Trying to branch on x from (# #) 2.856 * * * [regime]: Found split indices: #