47.704 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.018 * * [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)))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.033 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.036 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.043 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.046 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.046 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.051 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.051 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.052 * [taylor]: Taking taylor expansion of -1 in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.061 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.061 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.061 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.065 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.065 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.065 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.066 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * * * [progress]: simplifying candidates 0.070 * [simplify]: Simplifying using # : (- (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))))) (neg x) (neg (+ 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))))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (* (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))))) (- (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ 1.0 (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (/ (pow NAN 3) x))) (- (+ 1.0 (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.076 * * [simplify]: iteration 0 : 460 enodes (cost 585 ) 0.084 * * [simplify]: iteration 1 : 1938 enodes (cost 554 ) 0.112 * * [simplify]: iteration 2 : 5002 enodes (cost 551 ) 0.116 * [simplify]: Simplified to: (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))))) (neg x) (neg (+ 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)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (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)) (- (+ (* 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))) (+ (+ (/ 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 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* -1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (- (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (- (+ (+ (* 1.0 (+ (/ NAN (pow (+ NAN 1.0) 2)) (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3))))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (/ x (+ NAN 1.0)))) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (/ (pow NAN 3) (pow (+ NAN 1.0) 2)))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ 1.0 (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (/ (pow NAN 3) x))) (- (+ 1.0 (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.116 * * * [progress]: adding candidates to table 0.232 * * [progress]: iteration 2 / 4 0.232 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.245 * * * [progress]: generating rewritten candidates 0.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.256 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.271 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.277 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.277 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.278 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.280 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.280 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.280 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.286 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.293 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.295 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.296 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.300 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.300 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.300 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.304 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.305 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.305 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.306 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.306 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.309 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.310 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.312 * * * [progress]: simplifying candidates 0.314 * [simplify]: Simplifying using # : (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (+ (log x) (neg (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- 0 (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log x) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (log (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x x) x) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* 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) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt 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)))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))) (* x (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0)))))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))) (* x (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))))) (* (cbrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* x 1) (neg 1) (neg (log (+ 1.0 (sqrt (+ x 1.0))))) (- 0 (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log 1) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* 1 1) 1) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (neg 1) (neg (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt 1) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ 1 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt 1)) (/ (+ 1.0 (sqrt (+ x 1.0))) 1) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (- (* 1.0 1.0) (* (sqrt (+ x 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))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (/ 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))))) (- (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (+ (/ 1 (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 2) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ (/ 1 (+ NAN 1.0)) (+ (/ (pow NAN 6) (* (pow x 2) (pow (+ NAN 1.0) 3))) (+ (* 1.0 (/ (pow NAN 2) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 3) (* (pow x 2) (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* (pow x 2) (pow (+ NAN 1.0) 2)))) (+ (* 2.0 (/ (pow NAN 4) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (* 1.0 (/ NAN (* x (pow (+ NAN 1.0) 2))))))) (- (+ (/ 1 (+ NAN 1.0)) (+ (/ (pow NAN 6) (* (pow x 2) (pow (+ NAN 1.0) 3))) (+ (* 1.0 (/ (pow NAN 2) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (+ (* 1.0 (/ NAN (* x (pow (+ NAN 1.0) 2)))) (* 2.0 (/ (pow NAN 3) (* (pow x 2) (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* (pow x 2) (pow (+ NAN 1.0) 2)))) (+ (* 2.0 (/ (pow NAN 4) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ 1.0 (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (/ (pow NAN 3) x))) (- (+ 1.0 (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.321 * * [simplify]: iteration 0 : 681 enodes (cost 1007 ) 0.334 * * [simplify]: iteration 1 : 3263 enodes (cost 915 ) 0.382 * * [simplify]: iteration 2 : 5002 enodes (cost 876 ) 0.387 * [simplify]: Simplified to: (/ x (+ 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))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (exp (* x (/ 1 (+ 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 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (pow x 1/2) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (* x (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))))) (* x (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (/ 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 (/ 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 (/ 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 x x (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (- (* 1.0 1.0) x) 1.0)) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0)))) x -1 (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (log (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (* (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (pow (+ 1.0 (sqrt (+ x 1.0))) 3)) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ 1 (+ 1.0 (sqrt (+ x 1.0))))) -1 (neg (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) 1 (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) 1 1 (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ 1 (* (- (- (* 1.0 1.0) x) 1.0) 1)) (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)) (- (+ (* 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))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (+ (/ 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 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* -1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (- (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (- (+ (+ (* 1.0 (+ (/ NAN (pow (+ NAN 1.0) 2)) (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3))))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (/ x (+ NAN 1.0)))) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (/ (pow NAN 3) (pow (+ NAN 1.0) 2)))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))) (+ (+ (/ 1 (+ (sqrt 1.0) 1.0)) (* 1/8 (/ (pow x 2) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2))))) (+ (* (/ 1/4 1.0) (/ (pow x 2) (pow (+ (sqrt 1.0) 1.0) 3))) (* -1/2 (/ x (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (- (+ (/ 1 (+ NAN 1.0)) (+ (/ (pow NAN 6) (* (pow x 2) (pow (+ NAN 1.0) 3))) (+ (* 1.0 (/ (pow NAN 2) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 3) (* (pow x 2) (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* (pow x 2) (pow (+ NAN 1.0) 2)))) (+ (* 2.0 (/ (pow NAN 4) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (* 1.0 (/ NAN (* x (pow (+ NAN 1.0) 2))))))) (- (- (+ (+ (+ (/ 1 (+ NAN 1.0)) (/ (pow NAN 6) (* (pow x 2) (pow (+ NAN 1.0) 3)))) (* 1.0 (+ (/ (pow NAN 2) (* (pow x 2) (pow (+ NAN 1.0) 3))) (/ NAN (* x (pow (+ NAN 1.0) 2)))))) (* 2.0 (/ (pow NAN 3) (* (pow x 2) (pow (+ NAN 1.0) 2))))) (+ (* 2 (/ (pow NAN 5) (* (pow x 2) (pow (+ NAN 1.0) 2)))) (* 2.0 (/ (pow NAN 4) (* (pow x 2) (pow (+ NAN 1.0) 3)))))) (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ 1.0 (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (/ (pow NAN 3) x))) (- (+ 1.0 (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.388 * * * [progress]: adding candidates to table 0.550 * * [progress]: iteration 3 / 4 0.550 * * * [progress]: picking best candidate 0.555 * * * * [pick]: Picked # 0.555 * * * [progress]: localizing error 0.563 * * * [progress]: generating rewritten candidates 0.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.567 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.572 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.591 * * * [progress]: generating series expansions 0.591 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.591 * [approximate]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in (x) around 0 0.592 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (log (sqrt (+ x 1.0))) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [approximate]: Taking taylor expansion of (log (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.593 * [taylor]: Taking taylor expansion of (log (sqrt (+ 1.0 (/ 1 x)))) in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (log (sqrt (+ 1.0 (/ 1 x)))) in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.595 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.595 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 x)))) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.597 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.597 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.597 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.597 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.601 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.601 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.601 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.601 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.603 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.603 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.604 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.616 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.616 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.616 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.617 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * * * [progress]: simplifying candidates 0.622 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (log (cbrt (sqrt (+ x 1.0)))) (log (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (log (sqrt (cbrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt 1)) (log (sqrt (+ x 1.0))) (log (sqrt 1)) (log (sqrt (+ x 1.0))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (log 1) (log (sqrt (+ x 1.0))) (log (sqrt (+ (pow x 3) (pow 1.0 3)))) (log (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (log (sqrt (- (* x x) (* 1.0 1.0)))) (log (sqrt (- x 1.0))) (log (+ x 1.0)) (log (sqrt (+ x 1.0))) (log (+ x 1.0)) (log (log (sqrt (+ x 1.0)))) (exp (log (sqrt (+ x 1.0)))) (* (cbrt (log (sqrt (+ x 1.0)))) (cbrt (log (sqrt (+ x 1.0))))) (cbrt (log (sqrt (+ x 1.0)))) (* (* (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0)))) (log (sqrt (+ x 1.0)))) (sqrt (log (sqrt (+ x 1.0)))) (sqrt (log (sqrt (+ x 1.0)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ x 1.0)))) (cbrt (log (sqrt (+ x 1.0)))))) (exp (sqrt (log (sqrt (+ x 1.0))))) (exp 1) (exp (log (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (exp (log (cbrt (sqrt (+ x 1.0))))) (exp (log (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (exp (log (sqrt (cbrt (+ x 1.0))))) (exp (log (sqrt (sqrt (+ x 1.0))))) (exp (log (sqrt (sqrt (+ x 1.0))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt 1))) (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt (sqrt (+ x 1.0))))) (exp (log (sqrt (sqrt (+ x 1.0))))) (exp (log 1)) (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt (+ (pow x 3) (pow 1.0 3))))) (exp (log (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (exp (log (sqrt (- (* x x) (* 1.0 1.0))))) (exp (log (sqrt (- x 1.0)))) (log (exp (log (sqrt (+ x 1.0))))) (exp (exp (log (sqrt (+ x 1.0))))) (* (cbrt (exp (log (sqrt (+ x 1.0))))) (cbrt (exp (log (sqrt (+ x 1.0)))))) (cbrt (exp (log (sqrt (+ x 1.0))))) (* (* (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt (+ x 1.0))))) (exp (log (sqrt (+ x 1.0))))) (sqrt (exp (log (sqrt (+ x 1.0))))) (sqrt (exp (log (sqrt (+ x 1.0))))) (- (log x) (log (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (log (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (exp (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (* (* x x) x) (* (* (+ 1.0 (exp (log (sqrt (+ x 1.0))))) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (* (cbrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (cbrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (cbrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (* (* (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (sqrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (sqrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (neg x) (neg (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ (cbrt x) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (cbrt x) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ (sqrt x) (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ (sqrt x) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (sqrt x) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (sqrt x) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ 1 (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ x (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ 1 (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ x (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ 1 1) (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ 1 1) (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ 1 (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ (+ 1.0 (exp (log (sqrt (+ x 1.0))))) x) (/ x (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ x (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ x 1) (/ x 1) (/ (+ 1.0 (exp (log (sqrt (+ x 1.0))))) (cbrt x)) (/ (+ 1.0 (exp (log (sqrt (+ x 1.0))))) (sqrt x)) (/ (+ 1.0 (exp (log (sqrt (+ x 1.0))))) x) (/ x (+ (pow 1.0 3) (pow (exp (log (sqrt (+ x 1.0)))) 3))) (/ x (- (* 1.0 1.0) (* (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt (+ x 1.0))))))) (* (exp 1.0) (exp (exp (log (sqrt (+ x 1.0)))))) (log (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (exp (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (* (* (+ 1.0 (exp (log (sqrt (+ x 1.0))))) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (+ (pow 1.0 3) (pow (exp (log (sqrt (+ x 1.0)))) 3)) (+ (* 1.0 1.0) (- (* (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt (+ x 1.0))))) (* 1.0 (exp (log (sqrt (+ x 1.0))))))) (- (* 1.0 1.0) (* (exp (log (sqrt (+ x 1.0)))) (exp (log (sqrt (+ x 1.0)))))) (- 1.0 (exp (log (sqrt (+ x 1.0))))) (+ 1.0 (exp (log (sqrt (+ x 1.0))))) (- (+ (* 1/2 (/ x (pow (sqrt 1.0) 2))) (log (sqrt 1.0))) (* 1/4 (/ (pow x 2) (pow (sqrt 1.0) 4)))) (- (+ (* 3/2 (/ (pow NAN 4) (pow x 2))) (+ (log NAN) (* 1.0 (/ 1 x)))) (+ (* 0.5 (/ 1 (pow x 2))) (+ (/ (pow NAN 2) x) (* 1.0 (/ (pow NAN 2) (pow x 2)))))) (- (+ (* 3/2 (/ (pow NAN 4) (pow x 2))) (+ (log NAN) (/ (pow NAN 2) x))) (+ (* 0.5 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (* 1.0 (/ (pow NAN 2) (pow x 2)))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ 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))))) (- (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ 1.0 (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (/ (pow NAN 3) x))) (- (+ 1.0 (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.629 * * [simplify]: iteration 0 : 588 enodes (cost 922 ) 0.638 * * [simplify]: iteration 1 : 2331 enodes (cost 842 ) 0.671 * * [simplify]: iteration 2 : 5002 enodes (cost 828 ) 0.676 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (+ x 1.0))))) (log (cbrt (sqrt (+ x 1.0)))) (log (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (log (sqrt (cbrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) 0 (log (sqrt (+ x 1.0))) 0 (log (sqrt (+ x 1.0))) (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0)))) 0 (log (sqrt (+ x 1.0))) (log (sqrt (+ (pow x 3) (pow 1.0 3)))) (log (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (log (sqrt (- (* x x) (* 1.0 1.0)))) (log (sqrt (- x 1.0))) (log (+ x 1.0)) (log (sqrt (+ x 1.0))) (log (+ x 1.0)) (log (log (sqrt (+ x 1.0)))) (sqrt (+ x 1.0)) (* (cbrt (log (sqrt (+ x 1.0)))) (cbrt (log (sqrt (+ x 1.0))))) (cbrt (log (sqrt (+ x 1.0)))) (pow (log (sqrt (+ x 1.0))) 3) (sqrt (log (sqrt (+ x 1.0)))) (sqrt (log (sqrt (+ x 1.0)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ x 1.0)))) (cbrt (log (sqrt (+ x 1.0)))))) (exp (sqrt (log (sqrt (+ x 1.0))))) E (pow (exp 2) (log (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (log (sqrt (+ x 1.0))) (exp (exp (log (sqrt (+ x 1.0))))) (pow (exp 2) (log (cbrt (sqrt (+ x 1.0))))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (log (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (log (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (exp (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (pow x 3) (pow (+ (sqrt (+ x 1.0)) 1.0) 3)) (* (cbrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (cbrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (cbrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (pow x 3) (pow (+ (sqrt (+ x 1.0)) 1.0) 3)) (sqrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (sqrt (/ x (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (neg x) (- (neg 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ (cbrt x) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (cbrt x) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (/ (sqrt x) (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ (sqrt x) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (sqrt x) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ (sqrt x) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x) (/ (sqrt x) (+ (sqrt (+ x 1.0)) 1.0)) (/ 1 (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ x (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ 1 (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (/ x (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) 1 (/ x (+ (sqrt (+ x 1.0)) 1.0)) 1 (/ x (+ (sqrt (+ x 1.0)) 1.0)) (/ 1 (* (+ (sqrt (+ x 1.0)) 1.0) 1)) (/ (+ (sqrt (+ x 1.0)) 1.0) x) (/ x (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))))) (/ x (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) x x (/ (+ 1.0 (exp (log (sqrt (+ x 1.0))))) (cbrt x)) (/ (+ (sqrt (+ x 1.0)) 1.0) (sqrt x)) (/ (+ (sqrt (+ x 1.0)) 1.0) x) (/ x (+ (pow 1.0 3) (pow (exp (log (sqrt (+ x 1.0)))) 3))) (/ (/ x (+ (sqrt (+ x 1.0)) 1.0)) (+ 1.0 (neg (sqrt (+ x 1.0))))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (log (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0))))))) (cbrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (pow (+ (sqrt (+ x 1.0)) 1.0) 3) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (sqrt (+ 1.0 (exp (log (sqrt (+ x 1.0)))))) (+ (pow 1.0 3) (pow (exp (log (sqrt (+ x 1.0)))) 3)) (- (+ x 1.0) (- (* (sqrt (+ x 1.0)) 1.0) (* 1.0 1.0))) (+ (* (neg (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* 1.0 1.0)) (+ 1.0 (neg (sqrt (+ x 1.0)))) (+ (sqrt (+ x 1.0)) 1.0) (+ (+ (log (sqrt 1.0)) (* -1/4 (* (/ x 1.0) (/ x 1.0)))) (/ (* 1/2 x) 1.0)) (- (+ (* 3/2 (/ (pow NAN 4) (pow x 2))) (+ (log NAN) (* 1.0 (/ 1 x)))) (+ (* 0.5 (/ 1 (pow x 2))) (+ (/ (pow NAN 2) x) (* 1.0 (/ (pow NAN 2) (pow x 2)))))) (- (- (+ (* 3/2 (/ (pow NAN 4) (pow x 2))) (+ (log NAN) (/ (pow NAN 2) x))) (* 0.5 (/ 1 (pow x 2)))) (* 1.0 (+ (/ 1 x) (/ (pow NAN 2) (pow x 2))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (+ (+ (/ 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 1.0) (/ (pow x 3) (pow (+ (sqrt 1.0) 1.0) 3))) (* -1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))))) (- (+ (/ (pow NAN 3) (pow (+ NAN 1.0) 2)) (+ (* 1.0 (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3)))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (+ (/ x (+ NAN 1.0)) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2)))))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (+ (* 1.0 (/ NAN (pow (+ NAN 1.0) 2))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))))) (- (- (+ (+ (* 1.0 (+ (/ NAN (pow (+ NAN 1.0) 2)) (/ (pow NAN 2) (* x (pow (+ NAN 1.0) 3))))) (+ (/ (pow NAN 6) (* x (pow (+ NAN 1.0) 3))) (/ x (+ NAN 1.0)))) (* 2.0 (/ (pow NAN 3) (* x (pow (+ NAN 1.0) 2))))) (+ (* 2 (/ (pow NAN 5) (* x (pow (+ NAN 1.0) 2)))) (/ (pow NAN 3) (pow (+ NAN 1.0) 2)))) (* 2.0 (/ (pow NAN 4) (* x (pow (+ NAN 1.0) 3))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ 1.0 (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 2))) (/ (pow NAN 3) x))) (- (+ 1.0 (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2)))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 0.677 * * * [progress]: adding candidates to table 0.853 * * [progress]: iteration 4 / 4 0.853 * * * [progress]: picking best candidate 0.856 * * * * [pick]: Picked # 0.856 * * * [progress]: localizing error 0.865 * * * [progress]: generating rewritten candidates 0.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.881 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.889 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 0.901 * * * [progress]: generating series expansions 0.901 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.902 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.902 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.902 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.902 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.902 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.904 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.904 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.905 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.911 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.911 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.911 * [taylor]: Taking taylor expansion of -1 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.911 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.911 * [taylor]: Taking taylor expansion of -1 in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.917 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 0.917 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.917 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of 1.0 in x 0.917 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.924 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.924 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) 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 (/ 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 0.924 * [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 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) 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 (/ 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 0.924 * [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 1.0 in x 0.939 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 0.939 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.939 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.939 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.940 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.940 * [taylor]: Taking taylor expansion of -1 in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.940 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of 1.0 in x 0.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.945 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.945 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.945 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.945 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.945 * [taylor]: Taking taylor expansion of x in x 0.945 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.946 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.946 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.947 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.948 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.950 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.950 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.950 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.950 * [taylor]: Taking taylor expansion of 1.0 in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.952 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.953 * * * [progress]: simplifying candidates 0.955 * [simplify]: Simplifying using # : (* (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 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(pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 1.049 * * * [progress]: adding candidates to table 1.249 * [progress]: [Phase 3 of 3] Extracting. 1.249 * * [regime]: Finding splitpoints for: (# # #) 1.249 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.249 * * * * [regimes]: Trying to branch on x from (# # #) 1.276 * * * [regime]: Found split indices: #