Branin optimization

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Branin optimization

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Created	Thu, 8 Oct 2026 15:00:35 +0000
Published	Thu, 8 Oct 2026 17:26:18 +0000

Description:

Find extrema of Branin using SMACdown

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BigMLer BigMLer_ThuOct0826_170034

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https://bigml.com/user/whizzml/gallery/script/6ac7b013426c2387bb0fdd57

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Source code

;; This file demonstrates using SMACdown to optimize a function, in
;; this case, the venerable branin function.

;; Definition of the branin function
(define (branin x1 x2)
  (let (pi 3.14159265359
        a 1
        b (/ 5.1 (* 4 (pow pi 2)));
        c (/ 5 pi)
        r 6
        s 10
        t (/ 1 (* 8 pi)))
    (+ (* a (pow (+ (- x2 (* b (pow x1 2))) (- (* c x1) r)) 2))
       (* s (- 1 t) (cos x1))
       s)))

;; This function generates random parameters to the branin function in
;; the proper range.
(define (branin-generator) {"x1" (rand-range -5 10) "x2" (rand-range 0 15)})

;; This function takes a list of parameter maps of the format
;; generated above and returns a list of values, where each value in
;; the list is the value of applying the function to be optimized to
;; the corresponding parameters in the input list.
(define (branin-evaluator params ignored)
  (map (lambda (p) (branin (get p "x1") (get p "x2"))) params))

(define result (smacdown-optimize branin-generator branin-evaluator "test"))

;; We delete all intermediate resources (there will be a lot), since
;; we are interested only in the final result.
(delete* (created-resources))

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License: Creative Commons Zero V1.0
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