14.872 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.019 * * [simplify]: iteration 0 : 90 enodes (cost 6 ) 0.019 * * [simplify]: iteration 1 : 90 enodes (cost 6 ) 0.019 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.029 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.029 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.029 * [taylor]: Taking taylor expansion of 1.0 in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.030 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.030 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.032 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.032 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.032 * [taylor]: Taking taylor expansion of 1.0 in x 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.032 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.033 * * * [progress]: simplifying candidates 0.033 * [simplify]: Simplifying using # : (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1)))))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt (neg 1)) 3)))) (+ (* x (sqrt (neg 1))) (* 0.5 (/ 1 (* x (sqrt (neg 1))))))) 0.082 * * [simplify]: iteration 0 : 4949 enodes (cost 197 ) 0.082 * * [simplify]: iteration 1 : 4949 enodes (cost 197 ) 0.083 * [simplify]: Simplified to: (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* 1.0 (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (+ (sqrt 1.0) (* (* (/ x (sqrt 1.0)) x) (- -1/2 (* 1/8 (/ x (/ 1.0 x)))))) (+ (* x (sqrt -1)) (+ (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (pow x 3))))) (- (* (/ 1 (sqrt -1)) (- (/ 0.125 (neg (pow x 3))) (/ 0.5 x))) (* x (sqrt -1))) 0.083 * * * [progress]: adding candidates to table 0.113 * * [progress]: iteration 2 / 4 0.113 * * * [progress]: picking best candidate 0.116 * * * * [pick]: Picked # 0.116 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.141 * * * [progress]: generating series expansions 0.141 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.141 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.141 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0))) in x 0.142 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow x 4)) (+ (pow x 2) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 4)) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.143 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.144 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.146 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0))) in x 0.146 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) 1.0)) in x 0.146 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 4))) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) 1.0) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * * * [progress]: simplifying candidates 0.150 * [simplify]: Simplifying using # : (- (log (sqrt (- (* 1.0 1.0) (pow x 4)))) (log (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (* (* (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (* (sqrt (+ 1.0 (* x x))) (sqrt (+ 1.0 (* x x)))) (sqrt (+ 1.0 (* x x))))) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (* (* (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (/ (- (* 1.0 1.0) (pow x 4)) (+ 1.0 (* x x))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (neg (sqrt (- (* 1.0 1.0) (pow x 4)))) (neg (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (* (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (cbrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt 1)) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (* (cbrt (- (* 1.0 1.0) (pow x 4))) (cbrt (- (* 1.0 1.0) (pow x 4))))) 1) (/ (sqrt (cbrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1)) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt 1) 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt 1)) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow (sqrt x) 4))) 1) (/ (sqrt (- 1.0 (pow (sqrt x) 4))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt 1)) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (sqrt (pow x 4)))) 1) (/ (sqrt (- 1.0 (sqrt (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt 1)) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (+ 1.0 (pow x (/ 4 2)))) 1) (/ (sqrt (- 1.0 (pow x (/ 4 2)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt 1)) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) 1) (/ (sqrt (sqrt (- (* 1.0 1.0) (pow x 4)))) (sqrt (+ 1.0 (* x x)))) (/ 1 (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (cbrt (sqrt (+ 1.0 (* x x))))) (/ 1 (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (cbrt (+ 1.0 (* x x))))) (/ 1 (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ 1 (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ 1 1) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) (/ 1 (sqrt (+ 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (* (cbrt (+ 1.0 (* x x))) (cbrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt 1)) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) 1) (/ (sqrt (+ 1.0 (* x x))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (cbrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (pow (sqrt x) 4)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (sqrt (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (pow x (/ 4 2))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ (pow 1.0 3) (pow (* x x) 3)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))) (* (sqrt (+ 1.0 (* x x))) (sqrt (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (pow x 4) (pow x 4)) (* (* 1.0 1.0) (pow x 4)))))) (* (sqrt (+ 1.0 (* x x))) (sqrt (+ (* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 0.5 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.192 * * [simplify]: iteration 0 : 5395 enodes (cost 2151 ) 0.199 * [simplify]: Simplified to: (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (log (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (exp (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (pow (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) 3) (* (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))))) (cbrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (pow (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x)))) 3) (- 1.0 (* x x)) (sqrt (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))) (sqrt (/ (sqrt (- (* 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(sqrt (- (* 1.0 1.0) (pow x 4))) (* (cbrt (sqrt (+ 1.0 (* x x)))) (cbrt (sqrt (+ 1.0 (* x x)))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (fabs (cbrt (+ 1.0 (* x x))))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (sqrt (+ 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (pow x 4))) (/ (sqrt (+ 1.0 (* x x))) (cbrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (cbrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (sqrt (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (sqrt (- (* 1.0 1.0) (pow x 4))))) (/ (sqrt (+ 1.0 (* x x))) (sqrt (- (* 1.0 1.0) (pow x 4)))) (/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ (pow 1.0 3) (pow x 6)))) 1 (* (sqrt (+ 1.0 (* x x))) (sqrt (+ (pow 1.0 4) (+ (pow x 8) (* 1.0 (* 1.0 (pow x 4))))))) (* (sqrt (+ 1.0 (* x x))) (sqrt (+ (* 1.0 1.0) (pow x 4)))) (- (sqrt 1.0) (+ (* 0.125 (/ (pow x 4) (* 1.0 (sqrt 1.0)))) (* 0.5 (* (/ x (sqrt 1.0)) x)))) (+ (* x (sqrt -1)) (- (/ 0.5 (* x (sqrt -1))) (/ 0.125 (* (sqrt -1) (neg (pow x 3)))))) (- (/ 0.125 (* (sqrt -1) (neg (pow x 3)))) (+ (* x (sqrt -1)) (/ 0.5 (* x (sqrt -1))))) 0.200 * * * [progress]: adding candidates to table 0.357 * [progress]: [Phase 3 of 3] Extracting. 0.357 * * [regime]: Finding splitpoints for: (# #) 0.357 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.357 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.379 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.394 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.413 * * * * [regimes]: Trying to branch on x from (# #) 0.436 * * * [regime]: Found split indices: #