44.201 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.019 * [simplify]: Simplified to: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.046 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.118 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.127 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.156 * [taylor]: Taking taylor expansion of -1 in x 0.156 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.198 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.232 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * * * [progress]: simplifying candidates 0.243 * [simplify]: Simplifying using # : (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 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) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 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))))) 0.248 * * [simplify]: iteration 0 : 286 enodes (cost 413 ) 0.253 * * [simplify]: iteration 1 : 1063 enodes (cost 368 ) 0.275 * * [simplify]: iteration 2 : 5001 enodes (cost 361 ) 0.278 * [simplify]: Simplified to: (expm1 (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log1p (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 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) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) x x (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (pow (+ 1.0 (sqrt (+ x 1.0))) 3) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (fma 1.0 1.0 (+ x (- 1.0 (* 1.0 (sqrt (+ x 1.0)))))) (- (- (* 1.0 1.0) x) 1.0) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (fma (- 1/2) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (+ (* (/ 1/4 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (/ x (+ (sqrt 1.0) 1.0))))) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (fma +nan.0 (- x (/ 1 x)) (- +nan.0)) (+ (sqrt 1.0) (- (fma 1/2 (/ x (sqrt 1.0)) 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.278 * * * [progress]: adding candidates to table 0.370 * * [progress]: iteration 2 / 4 0.370 * * * [progress]: picking best candidate 0.373 * * * * [pick]: Picked # 0.373 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.408 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.453 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.453 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.527 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.527 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.536 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.536 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.570 * [taylor]: Taking taylor expansion of -1 in x 0.570 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.579 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.609 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) x) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) x) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.609 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.610 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) x) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) 1.0))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.628 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.628 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.924 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.934 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.934 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of 1.0 in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 0.984 * [taylor]: Taking taylor expansion of -1 in x 0.984 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.984 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.984 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of 1.0 in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.994 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))))) in x 0.994 * [taylor]: Taking taylor expansion of -1 in x 0.994 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.994 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.994 * [taylor]: Taking taylor expansion of (sqrt (- 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 0.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.057 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.057 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in x 1.057 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.057 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.057 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.059 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in x 1.065 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.065 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.065 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.065 * [taylor]: Taking taylor expansion of x in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.124 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.124 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.124 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.124 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.131 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.131 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.156 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.164 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.194 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in x 1.195 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.195 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.195 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of 1.0 in x 1.196 * [taylor]: Taking taylor expansion of 1.0 in x 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) 1.0)) in x 1.202 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.202 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.202 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.257 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.263 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.293 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.293 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.293 * [taylor]: Taking taylor expansion of 1.0 in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.301 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.301 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.301 * [taylor]: Taking taylor expansion of 1.0 in x 1.301 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.301 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of 1.0 in x 1.326 * * * [progress]: simplifying candidates 1.333 * [simplify]: Simplifying using # : (expm1 (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (- (log x) (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (log (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (exp (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ (* (* x x) x) (* (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (* (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt 1)) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt 1)) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (* (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) 1) (/ (cbrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt 1)) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt 1)) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) 1) (/ (sqrt (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (/ (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt 1)) (/ (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt 1)) (/ (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (sqrt (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (/ (cbrt x) (cbrt (sqrt (+ 1.0 (sqrt (+ 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enodes (cost 5703 ) 1.374 * * [simplify]: iteration 1 : 3527 enodes (cost 5149 ) 1.414 * * [simplify]: iteration 2 : 5001 enodes (cost 5115 ) 1.437 * [simplify]: Simplified to: (expm1 (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (* (cbrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt 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(sqrt +nan.0)))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) x)) (/ 1 (* (pow (sqrt +nan.0) 3) x))))) (+ (- (* (sqrt +nan.0) x) (* +nan.0 (/ 1 (sqrt +nan.0)))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) x)) (/ 1 (* (pow (sqrt +nan.0) 3) x))))) (fma (* 1/4 (/ x (sqrt 1.0))) (sqrt (/ 1 (+ (sqrt 1.0) 1.0))) (- (sqrt (+ (sqrt 1.0) 1.0)) (fma 1/32 (* (/ (pow x 2) (pow (sqrt 1.0) 2)) (sqrt (/ 1 (pow (+ (sqrt 1.0) 1.0) 3)))) (* 1/16 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (sqrt 1.0) 1.0)))))))) (+ (- (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)))))) (fma (* 1/4 (/ x (sqrt 1.0))) (sqrt (/ 1 (+ (sqrt 1.0) 1.0))) (- (sqrt (+ (sqrt 1.0) 1.0)) (fma 1/32 (* (/ (pow x 2) (pow (sqrt 1.0) 2)) (sqrt (/ 1 (pow (+ (sqrt 1.0) 1.0) 3)))) (* 1/16 (* (/ (pow x 2) (pow (sqrt 1.0) 3)) (sqrt (/ 1 (+ (sqrt 1.0) 1.0)))))))) (+ (- (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)))))) 1.440 * * * [progress]: adding candidates to table 1.841 * * [progress]: iteration 3 / 4 1.841 * * * [progress]: picking best candidate 1.843 * * * * [pick]: Picked # 1.843 * * * [progress]: localizing error 1.850 * * * [progress]: generating rewritten candidates 1.851 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.873 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.879 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.893 * * * [progress]: generating series expansions 1.893 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.894 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.894 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.894 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.894 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.898 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.898 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.898 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.898 * [taylor]: Taking taylor expansion of x in x 1.898 * [taylor]: Taking taylor expansion of 1.0 in x 1.900 * [taylor]: Taking taylor expansion of 1.0 in x 1.964 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.964 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.964 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.964 * [taylor]: Taking taylor expansion of x in x 1.964 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.964 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.964 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.964 * [taylor]: Taking taylor expansion of 1.0 in x 1.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.965 * [taylor]: Taking taylor expansion of x in x 1.966 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.973 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.973 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.973 * [taylor]: Taking taylor expansion of x in x 1.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 2.002 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.002 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.002 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.002 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.002 * [taylor]: Taking taylor expansion of -1 in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.003 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.003 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.003 * [taylor]: Taking taylor expansion of 1.0 in x 2.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.003 * [taylor]: Taking taylor expansion of x in x 2.005 * [taylor]: Taking taylor expansion of 1.0 in x 2.006 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.006 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.006 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.006 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.006 * [taylor]: Taking taylor expansion of -1 in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.008 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.008 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.008 * [taylor]: Taking taylor expansion of 1.0 in x 2.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.010 * [taylor]: Taking taylor expansion of 1.0 in x 2.040 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 2.040 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 2.040 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.040 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.040 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of 1.0 in x 2.042 * [taylor]: Taking taylor expansion of 1.0 in x 2.042 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.042 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.042 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.042 * [taylor]: Taking taylor expansion of x in x 2.042 * [taylor]: Taking taylor expansion of 1.0 in x 2.044 * [taylor]: Taking taylor expansion of 1.0 in x 2.058 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 2.058 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.058 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.058 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.058 * [taylor]: Taking taylor expansion of 1.0 in x 2.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.058 * [taylor]: Taking taylor expansion of x in x 2.060 * [taylor]: Taking taylor expansion of 1.0 in x 2.060 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 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 2.062 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 2.071 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.071 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of 1.0 in x 2.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.073 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.073 * [taylor]: Taking taylor expansion of 1.0 in x 2.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.073 * [taylor]: Taking taylor expansion of x in x 2.075 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.084 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 2.084 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 2.084 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.084 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.085 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.085 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.088 * [taylor]: Taking taylor expansion of x in x 2.089 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 2.089 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 2.090 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 2.090 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.090 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.091 * [taylor]: Taking taylor expansion of 1.0 in x 2.093 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.318 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 2.318 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.319 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.319 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.319 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.319 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.319 * [taylor]: Taking taylor expansion of 1.0 in x 2.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.319 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of 1.0 in x 2.322 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 2.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 2.324 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 2.324 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.324 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.324 * [taylor]: Taking taylor expansion of 1.0 in x 2.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.324 * [taylor]: Taking taylor expansion of x in x 2.325 * [taylor]: Taking taylor expansion of 1.0 in x 2.366 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 2.367 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.367 * [taylor]: Taking taylor expansion of -1 in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.368 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.370 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.371 * [taylor]: Taking taylor expansion of -1 in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.372 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 2.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.374 * [taylor]: Taking taylor expansion of 1.0 in x 2.396 * * * [progress]: simplifying candidates 2.398 * [simplify]: Simplifying using # : (expm1 (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log1p (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* (sqrt x) (/ (sqrt x) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (sqrt x)) (* (sqrt x) (- (sqrt x))) (* (sqrt x) 1) (* (sqrt x) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* (sqrt x) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) 1)) (* (sqrt x) (/ (sqrt x) 1)) (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt x) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) 1) (expm1 (+ 1.0 (sqrt (+ x 1.0)))) (log1p (+ 1.0 (sqrt (+ x 1.0)))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 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(pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 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))))) (- (+ (* +nan.0 (/ (pow x 2) (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))) (- (+ (* +nan.0 (/ x (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (+ (sqrt 1.0) 1.0))) (- (* +nan.0 (/ (pow x 3) (* (sqrt 1.0) (pow (+ 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3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (fma (- +nan.0) (/ (pow x 2) (+ (sqrt 1.0) 1.0)) (fma +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))) (fma (- +nan.0) (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))) (fma +nan.0 (/ (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3)) 1.0) (fma (- +nan.0) (/ x (+ (sqrt 1.0) 1.0)) (* +nan.0 (- (/ (pow x 3) (+ (sqrt 1.0) 1.0)) (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.461 * * * [progress]: adding candidates to table 2.679 * [progress]: [Phase 3 of 3] Extracting. 2.679 * * [regime]: Finding splitpoints for: (# # #) 2.679 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 2.679 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# # #) 2.698 * * * * [regimes]: Trying to branch on x from (# # #) 2.710 * * * [regime]: Found split indices: #