0.443 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.035 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.036 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.055 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.055 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.055 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.083 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.083 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.083 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.086 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.102 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.104 * [taylor]: Taking taylor expansion of -1 in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.107 * [taylor]: Taking taylor expansion of -1 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.123 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.123 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.123 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.124 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.142 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.151 * * * [progress]: simplifying candidates 0.152 * [simplify]: Simplifying using # : (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.155 * * [simplify]: iteration 0 : 182 enodes (cost 265 ) 0.159 * * [simplify]: iteration 1 : 544 enodes (cost 243 ) 0.169 * * [simplify]: iteration 2 : 2020 enodes (cost 233 ) 0.208 * * [simplify]: iteration 3 : 5002 enodes (cost 230 ) 0.210 * [simplify]: Simplified to: (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (- (pow x 1/2)) 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (pow x 1/2)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (* x (- +nan.0 (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.210 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 2 / 4 0.283 * * * [progress]: picking best candidate 0.288 * * * * [pick]: Picked # 0.288 * * * [progress]: localizing error 0.294 * * * [progress]: generating rewritten candidates 0.294 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.304 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.311 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.316 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.316 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.316 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.319 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.321 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.398 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.398 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.399 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.403 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.403 * [taylor]: Taking taylor expansion of 1.0 in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.423 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.427 * [taylor]: Taking taylor expansion of -1 in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.451 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.451 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.451 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.451 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.478 * [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 0.492 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.495 * [taylor]: Taking taylor expansion of -1 in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.513 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.513 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.515 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.533 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.535 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.542 * * * [progress]: simplifying candidates 0.544 * [simplify]: Simplifying using # : (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.549 * * [simplify]: iteration 0 : 341 enodes (cost 624 ) 0.555 * * [simplify]: iteration 1 : 1239 enodes (cost 566 ) 0.578 * * [simplify]: iteration 2 : 5001 enodes (cost 533 ) 0.581 * [simplify]: Simplified to: (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (+ x (- 1.0 x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (* 0.5 (/ x (pow (sqrt 1.0) 3)))) (+ (/ (- (* +nan.0 x)) 1.0) (- (* (/ x (/ 1.0 x)) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0))) (/ (pow x 2) (/ 1.0 +nan.0))))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (+ (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (* x (- +nan.0 (* +nan.0 x)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) (- (+ (/ (- +nan.0) (pow x 2)) (/ +nan.0 x)) +nan.0) 0.582 * * * [progress]: adding candidates to table 0.707 * * [progress]: iteration 3 / 4 0.707 * * * [progress]: picking best candidate 0.720 * * * * [pick]: Picked # 0.720 * * * [progress]: localizing error 0.732 * * * [progress]: generating rewritten candidates 0.732 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.746 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.765 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.774 * * * [progress]: generating series expansions 0.774 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.775 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.775 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.777 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.786 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.786 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.786 * [taylor]: Taking taylor expansion of 1.0 in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of 1.0 in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.795 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.795 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of 1.0 in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.797 * [taylor]: Taking taylor expansion of 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 0.804 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.804 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.804 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.804 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.804 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of 1.0 in x 0.806 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.806 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.808 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.808 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.813 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.813 * [taylor]: Taking taylor expansion of x in x 0.883 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.883 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.883 * [taylor]: Taking taylor expansion of 1.0 in x 0.883 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.890 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.890 * [taylor]: Taking taylor expansion of 1.0 in x 0.890 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.891 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.891 * [taylor]: Taking taylor expansion of x in x 0.911 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.911 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.911 * [taylor]: Taking taylor expansion of -1 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.915 * [taylor]: Taking taylor expansion of 1.0 in x 0.915 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.936 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.936 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 0.936 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.936 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.936 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.936 * [taylor]: Taking taylor expansion of 1/4 in x 0.936 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.938 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.938 * [taylor]: Taking taylor expansion of 1/4 in x 0.938 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 0.973 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 0.973 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 0.973 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 0.973 * [taylor]: Taking taylor expansion of 1/4 in x 0.973 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 0.973 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.973 * [taylor]: Taking taylor expansion of 1.0 in x 0.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.974 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 0.974 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 0.974 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 0.974 * [taylor]: Taking taylor expansion of 1/4 in x 0.974 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 0.974 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.992 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 0.992 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 0.992 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 0.992 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 0.992 * [taylor]: Taking taylor expansion of 1/4 in x 0.992 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 0.994 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 0.994 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 0.994 * [taylor]: Taking taylor expansion of 1/4 in x 0.994 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.994 * [taylor]: Taking taylor expansion of 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 1.018 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.018 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.018 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.018 * [taylor]: Taking taylor expansion of 1/4 in x 1.018 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.018 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.020 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.020 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.020 * [taylor]: Taking taylor expansion of 1/4 in x 1.020 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.020 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.020 * [taylor]: Taking taylor expansion of x in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.055 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.055 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.055 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.055 * [taylor]: Taking taylor expansion of 1/4 in x 1.055 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.055 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.056 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.056 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.056 * [taylor]: Taking taylor expansion of 1/4 in x 1.056 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.056 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.074 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.074 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.074 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.074 * [taylor]: Taking taylor expansion of 1/4 in x 1.074 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.076 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.076 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.076 * [taylor]: Taking taylor expansion of 1/4 in x 1.076 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.099 * * * [progress]: simplifying candidates 1.101 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0))))) (log (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (exp (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))))) (* (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0)))) (* (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt 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(sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* 1 1) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 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(sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) 1) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (- (log 1.0) (log (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (log (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (exp (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 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(cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt 1) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.110 * * [simplify]: iteration 0 : 525 enodes (cost 1350 ) 1.121 * * [simplify]: iteration 1 : 2329 enodes (cost 1176 ) 1.163 * * [simplify]: iteration 2 : 5001 enodes (cost 1152 ) 1.172 * [simplify]: Simplified to: 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x 1.0) (sqrt (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (* 2 (log (sqrt (sqrt (+ x 1.0))))) (* 2 (log (sqrt (sqrt (+ x 1.0))))) (pow (exp 1) (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (+ x 1.0) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (pow (cbrt (sqrt (sqrt (+ x 1.0)))) 4) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (sqrt (+ x 1.0))) (pow (cbrt (sqrt (sqrt (+ x 1.0)))) 4) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (sqrt (+ x 1.0)))) 3) (sqrt (+ x 1.0)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (- (log 1.0) (log (* (+ (sqrt x) (sqrt (+ x 1.0))) 1))) (- (log 1.0) (log (* (+ (sqrt x) (sqrt (+ x 1.0))) 1))) (exp (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 3) (* (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 3) (sqrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (- 1.0) (- (- (sqrt (+ x 1.0))) (sqrt x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ 1.0 (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ 1 (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ 1.0 (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ 1.0 (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (/ 1.0 (sqrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) 1.0 (/ (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (sqrt 1.0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ 1.0 (+ (pow (sqrt x) 3) (* (pow (sqrt (+ x 1.0)) 3/2) (pow (sqrt (+ x 1.0)) 3/2)))) (/ 1.0 (+ x (- 1.0 x))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (exp (sqrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (- (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (- (- (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (* (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2)))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (+ (* (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2)))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.173 * * * [progress]: adding candidates to table 1.414 * * [progress]: iteration 4 / 4 1.414 * * * [progress]: picking best candidate 1.432 * * * * [pick]: Picked # 1.432 * * * [progress]: localizing error 1.440 * * * [progress]: generating rewritten candidates 1.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.467 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.484 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.527 * * * [progress]: generating series expansions 1.527 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.527 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.527 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.527 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.527 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.527 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.527 * [taylor]: Taking taylor expansion of x in x 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.529 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.529 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.531 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.531 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.531 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.531 * [taylor]: Taking taylor expansion of x in x 1.531 * [taylor]: Taking taylor expansion of 1.0 in x 1.533 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.610 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.610 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.612 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.615 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.615 * [taylor]: Taking taylor expansion of 1.0 in x 1.615 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.640 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.640 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.640 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.640 * [taylor]: Taking taylor expansion of -1 in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.644 * [taylor]: Taking taylor expansion of 1.0 in x 1.644 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.644 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.644 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.644 * [taylor]: Taking taylor expansion of -1 in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.645 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.645 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.665 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.665 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.665 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.665 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.665 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.665 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.665 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of 1.0 in x 1.667 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.683 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.683 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.683 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.683 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.683 * [taylor]: Taking taylor expansion of x in x 1.683 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.852 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.852 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.852 * [taylor]: Taking taylor expansion of 1.0 in x 1.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.852 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.852 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.852 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.852 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.854 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.854 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.870 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.870 * [taylor]: Taking taylor expansion of 1.0 in x 1.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.870 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.914 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.914 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.914 * [taylor]: Taking taylor expansion of 1.0 in x 1.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.914 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.914 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.914 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.914 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.914 * [taylor]: Taking taylor expansion of -1 in x 1.915 * [taylor]: Taking taylor expansion of x in x 1.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.916 * [taylor]: Taking taylor expansion of 1.0 in x 1.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.916 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.926 * [taylor]: Taking taylor expansion of 1.0 in x 1.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.926 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.926 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.926 * [taylor]: Taking taylor expansion of -1 in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.928 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.976 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.977 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.977 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.977 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.977 * [taylor]: Taking taylor expansion of x in x 1.977 * [taylor]: Taking taylor expansion of 1.0 in x 1.979 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.979 * [taylor]: Taking taylor expansion of x in x 1.984 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.984 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.984 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.984 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.986 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.986 * [taylor]: Taking taylor expansion of x in x 2.049 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.049 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.049 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.049 * [taylor]: Taking taylor expansion of x in x 2.050 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.050 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.050 * [taylor]: Taking taylor expansion of 1.0 in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.050 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.059 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.060 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.060 * [taylor]: Taking taylor expansion of x in x 2.087 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.087 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.087 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.087 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.087 * [taylor]: Taking taylor expansion of -1 in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.088 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.104 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.104 * [taylor]: Taking taylor expansion of -1 in x 2.104 * [taylor]: Taking taylor expansion of x in x 2.105 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.105 * [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 2.132 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.133 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.133 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.133 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [taylor]: Taking taylor expansion of 1.0 in x 2.134 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.140 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.140 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.140 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.140 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.140 * [taylor]: Taking taylor expansion of x in x 2.140 * [taylor]: Taking taylor expansion of 1.0 in x 2.142 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.142 * [taylor]: Taking taylor expansion of x in x 2.206 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.206 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.206 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.206 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.207 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of 1.0 in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.216 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.216 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.216 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.216 * [taylor]: Taking taylor expansion of x in x 2.217 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.217 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.217 * [taylor]: Taking taylor expansion of x in x 2.244 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.244 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.244 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.244 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.244 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.244 * [taylor]: Taking taylor expansion of -1 in x 2.244 * [taylor]: Taking taylor expansion of x in x 2.245 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.245 * [taylor]: Taking taylor expansion of 1.0 in x 2.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.245 * [taylor]: Taking taylor expansion of x in x 2.254 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.254 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.254 * [taylor]: Taking taylor expansion of -1 in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.261 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.261 * [taylor]: Taking taylor expansion of 1.0 in x 2.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.261 * [taylor]: Taking taylor expansion of x in x 2.288 * * * [progress]: simplifying candidates 2.297 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1) (/ (cbrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 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(sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 2.426 * * * [progress]: adding candidates to table 2.871 * [progress]: [Phase 3 of 3] Extracting. 2.871 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.874 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.874 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.903 * * * [regime]: Found split indices: #