; seed : 2020178

; flags :
;   setup      = (simplify)
;   fn         = (cbrt)
;   rules      = (arithmetic polynomials fractions exponents trigonometry hyperbolic complex special bools branches)
;   generate   = (rr taylor simplify)
;   reduce     = (regimes taylor simplify avg-error binary-search branch-expressions)
;   precision  = (double fallback)

; timed out
(FPCore (f)
  :name "VandenBroeck and Keller, Equation (20)"
  (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))

; timed out
(FPCore (x l t)
  :name "Toniolo and Linder, Equation (7)"
  (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))))

; timed out
(FPCore (n U t l Om U*)
  :name "Toniolo and Linder, Equation (13)"
  (sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))))