23.849 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.081 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.084 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.109 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.129 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.130 * [taylor]: Taking taylor expansion of -1 in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.148 * * * [progress]: simplifying candidates 0.149 * [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)) (- (+ (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))))) 0.152 * * [simplify]: iteration 0 : 132 enodes (cost 175 ) 0.155 * * [simplify]: iteration 1 : 400 enodes (cost 159 ) 0.162 * * [simplify]: iteration 2 : 1559 enodes (cost 153 ) 0.193 * * [simplify]: iteration 3 : 5001 enodes (cost 149 ) 0.195 * [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)) (+ (+ (sqrt 1.0) (* (/ x (sqrt 1.0)) (- 1/2 (* (/ x 1.0) 1/8)))) (* 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))) 0.195 * * * [progress]: adding candidates to table 0.235 * * [progress]: iteration 2 / 4 0.235 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.287 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.318 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.318 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.318 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.318 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of 1.0 in x 0.320 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.322 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.324 * [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 0.421 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.452 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.452 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [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 0.476 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [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 0.491 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.491 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.491 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.491 * [taylor]: Taking taylor expansion of -1 in x 0.491 * [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 0.494 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.494 * [taylor]: Taking taylor expansion of -1 in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.495 * [taylor]: Taking taylor expansion of 1.0 in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.509 * * * [progress]: simplifying candidates 0.510 * [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)) (- (+ (* 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))))) 0.515 * * [simplify]: iteration 0 : 295 enodes (cost 535 ) 0.520 * * [simplify]: iteration 1 : 1077 enodes (cost 482 ) 0.542 * * [simplify]: iteration 2 : 5001 enodes (cost 453 ) 0.545 * [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)) (+ (- (+ (* 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) 0.545 * * * [progress]: adding candidates to table 0.658 * * [progress]: iteration 3 / 4 0.658 * * * [progress]: picking best candidate 0.669 * * * * [pick]: Picked # 0.670 * * * [progress]: localizing error 0.678 * * * [progress]: generating rewritten candidates 0.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.872 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.915 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.956 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.014 * * * [progress]: generating series expansions 1.014 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.015 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.015 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.015 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.016 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.021 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.021 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.021 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.021 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.022 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.022 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.023 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.078 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.078 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.078 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.078 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.079 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.091 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.091 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.127 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.127 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.127 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.128 * [taylor]: Taking taylor expansion of -1 in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.133 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.133 * [taylor]: Taking taylor expansion of -1 in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.168 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.169 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.169 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.169 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.179 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.179 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.180 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.180 * [taylor]: Taking taylor expansion of x in x 1.250 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.252 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.255 * [taylor]: Taking taylor expansion of 1.0 in x 1.255 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.262 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.281 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.282 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.282 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.282 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.282 * [taylor]: Taking taylor expansion of -1 in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.285 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.285 * [taylor]: Taking taylor expansion of -1 in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.287 * [taylor]: Taking taylor expansion of 1.0 in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.306 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.306 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.306 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.306 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.306 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.306 * [taylor]: Taking taylor expansion of 1.0 in x 1.308 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.310 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.390 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.390 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.390 * [taylor]: Taking taylor expansion of 1.0 in x 1.390 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.392 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.392 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.394 * [taylor]: Taking taylor expansion of 1.0 in x 1.394 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.395 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.395 * [taylor]: Taking taylor expansion of 1.0 in x 1.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.414 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.414 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.414 * [taylor]: Taking taylor expansion of 1.0 in x 1.414 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.414 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.414 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.414 * [taylor]: Taking taylor expansion of -1 in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.418 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.418 * [taylor]: Taking taylor expansion of -1 in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of 1.0 in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.446 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 1.446 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.446 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.446 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.446 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.448 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.448 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.464 * [taylor]: Taking taylor expansion of 1.0 in x 1.465 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 1.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.465 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.465 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.465 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.483 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.483 * [taylor]: Taking taylor expansion of 1.0 in x 1.639 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.639 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.640 * [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 1.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.650 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.651 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.652 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.652 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.652 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.710 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 1.710 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.710 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.710 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.710 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.710 * [taylor]: Taking taylor expansion of -1 in x 1.710 * [taylor]: Taking taylor expansion of x in x 1.711 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 1.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.722 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.722 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.722 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.722 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.722 * [taylor]: Taking taylor expansion of -1 in x 1.722 * [taylor]: Taking taylor expansion of x in x 1.723 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.723 * [taylor]: Taking taylor expansion of x in x 1.734 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.774 * * * [progress]: simplifying candidates 1.785 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 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))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ 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)))) (sqrt (/ 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)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ 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)))) (sqrt (/ 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)))))) (* (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))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (/ 1 (* (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 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (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 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt 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(sqrt x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (/ (sqrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (/ 1 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (+ (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (sqrt 1.0) (- (* 1/2 (/ x (sqrt 1.0))) (- (- (* +nan.0 (pow x 2)) (- (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (* +nan.0 x))) (/ (* +nan.0 (pow x 2)) 1.0))))) (+ (* +nan.0 (- (/ (pow (sqrt 1.0) 2) x) 1.0)) (/ (* (- +nan.0) 1.0) (pow x 2))) (+ (* +nan.0 (- (/ (pow (sqrt 1.0) 2) x) 1.0)) (/ (* (- +nan.0) 1.0) (pow x 2))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 1.0 (/ 1 (sqrt 1.0))) (- (* 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)) 1.0))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 1.0 (/ 1 (sqrt 1.0))) (- (* 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)) 1.0))))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (- +nan.0) (pow x 2))) (+ (- (+ (* 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (sqrt (sqrt 1.0))) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (+ (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* (* +nan.0 (pow x 2)) (- (sqrt (/ 1 (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 1.884 * * * [progress]: adding candidates to table 2.365 * * [progress]: iteration 4 / 4 2.365 * * * [progress]: picking best candidate 2.379 * * * * [pick]: Picked # 2.379 * * * [progress]: localizing error 2.388 * * * [progress]: generating rewritten candidates 2.388 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.584 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.661 * * * [progress]: generating series expansions 2.661 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.662 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.662 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.662 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.662 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.664 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.666 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.666 * [taylor]: Taking taylor expansion of 1.0 in x 2.666 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.666 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.666 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.666 * [taylor]: Taking taylor expansion of x in x 2.666 * [taylor]: Taking taylor expansion of 1.0 in x 2.668 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.748 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.748 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.748 * [taylor]: Taking taylor expansion of 1.0 in x 2.748 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.748 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.749 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.752 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.752 * [taylor]: Taking taylor expansion of 1.0 in x 2.752 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.752 * [taylor]: Taking taylor expansion of x in x 2.753 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.753 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.753 * [taylor]: Taking taylor expansion of 1.0 in x 2.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.753 * [taylor]: Taking taylor expansion of x in x 2.772 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.772 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.772 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.772 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.772 * [taylor]: Taking taylor expansion of -1 in x 2.772 * [taylor]: Taking taylor expansion of x in x 2.773 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.773 * [taylor]: Taking taylor expansion of 1.0 in x 2.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.773 * [taylor]: Taking taylor expansion of x in x 2.776 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.776 * [taylor]: Taking taylor expansion of 1.0 in x 2.776 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.776 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.776 * [taylor]: Taking taylor expansion of -1 in x 2.776 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.777 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.797 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.797 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.797 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.797 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.797 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.797 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.797 * [taylor]: Taking taylor expansion of 1.0 in x 2.799 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.799 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.821 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.821 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.821 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.821 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.823 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.823 * [taylor]: Taking taylor expansion of x in x 3.001 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.001 * [taylor]: Taking taylor expansion of 1.0 in x 3.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.001 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.001 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.001 * [taylor]: Taking taylor expansion of x in x 3.002 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.002 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.002 * [taylor]: Taking taylor expansion of 1.0 in x 3.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.002 * [taylor]: Taking taylor expansion of x in x 3.013 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.013 * [taylor]: Taking taylor expansion of 1.0 in x 3.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.013 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.014 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.014 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.014 * [taylor]: Taking taylor expansion of 1.0 in x 3.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.014 * [taylor]: Taking taylor expansion of x in x 3.058 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 3.058 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.058 * [taylor]: Taking taylor expansion of 1.0 in x 3.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.058 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.058 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.058 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.058 * [taylor]: Taking taylor expansion of -1 in x 3.058 * [taylor]: Taking taylor expansion of x in x 3.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.060 * [taylor]: Taking taylor expansion of 1.0 in x 3.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.060 * [taylor]: Taking taylor expansion of x in x 3.077 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.077 * [taylor]: Taking taylor expansion of 1.0 in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.077 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.077 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.077 * [taylor]: Taking taylor expansion of -1 in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.078 * [taylor]: Taking taylor expansion of 1.0 in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.123 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.123 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.123 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.124 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.124 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.124 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.124 * [taylor]: Taking taylor expansion of x in x 3.124 * [taylor]: Taking taylor expansion of 1.0 in x 3.125 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.125 * [taylor]: Taking taylor expansion of x in x 3.131 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.131 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.131 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.131 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.131 * [taylor]: Taking taylor expansion of 1.0 in x 3.133 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.133 * [taylor]: Taking taylor expansion of x in x 3.199 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.199 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.199 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.199 * [taylor]: Taking taylor expansion of x in x 3.200 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.200 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.200 * [taylor]: Taking taylor expansion of 1.0 in x 3.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.200 * [taylor]: Taking taylor expansion of x in x 3.208 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.208 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.208 * [taylor]: Taking taylor expansion of x in x 3.210 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.210 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.210 * [taylor]: Taking taylor expansion of 1.0 in x 3.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.210 * [taylor]: Taking taylor expansion of x in x 3.236 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.237 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.237 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.237 * [taylor]: Taking taylor expansion of -1 in x 3.237 * [taylor]: Taking taylor expansion of x in x 3.238 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.238 * [taylor]: Taking taylor expansion of 1.0 in x 3.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.238 * [taylor]: Taking taylor expansion of x in x 3.246 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.247 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.247 * [taylor]: Taking taylor expansion of -1 in x 3.247 * [taylor]: Taking taylor expansion of x in x 3.254 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.254 * [taylor]: Taking taylor expansion of 1.0 in x 3.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.254 * [taylor]: Taking taylor expansion of x in x 3.281 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.282 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.282 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.282 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.282 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.282 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.282 * [taylor]: Taking taylor expansion of x in x 3.282 * [taylor]: Taking taylor expansion of 1.0 in x 3.283 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.283 * [taylor]: Taking taylor expansion of x in x 3.289 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.289 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.289 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.289 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.289 * [taylor]: Taking taylor expansion of x in x 3.289 * [taylor]: Taking taylor expansion of 1.0 in x 3.291 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.291 * [taylor]: Taking taylor expansion of x in x 3.357 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.357 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.357 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.359 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.359 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.359 * [taylor]: Taking taylor expansion of 1.0 in x 3.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.359 * [taylor]: Taking taylor expansion of x in x 3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.367 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.367 * [taylor]: Taking taylor expansion of x in x 3.368 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.368 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.395 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.395 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.395 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.395 * [taylor]: Taking taylor expansion of -1 in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.405 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.405 * [taylor]: Taking taylor expansion of -1 in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.406 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.407 * [taylor]: Taking taylor expansion of 1.0 in x 3.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.407 * [taylor]: Taking taylor expansion of x in x 3.440 * * * [progress]: simplifying candidates 3.449 * [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 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(pow (sqrt 1.0) 5))))))) (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) (+ (- (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)))))) (+ (- (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)))))) 3.569 * * * [progress]: adding candidates to table 4.147 * [progress]: [Phase 3 of 3] Extracting. 4.147 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.149 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.150 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 4.181 * * * [regime]: Found split indices: #