forked from adityaathalye/sicp
/
ex1-45-nth-root.txt
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ex1-45-nth-root.txt
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; Dump of experiments carried out with the procedure I designed
; for ex. 1.45. The experiments led to the observation that
; the number of average damping operations required, grows in
; proportion to the natural logarithm of n, when wish to find the
; n-th root of a term.
(load "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm")
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
(successive-sq 2 8)
;Value: 64
;Value: 64
(expt 2 100)
;Value: 1267650600228229401496703205376
;Value: 1024
;The procedure #[compiled-procedure 12 ("arith" #xd0) #xf #x14aaa13] has been called with 2 arguments; it requires exactly 1 argument.
;To continue, call RESTART with an option number:
; (RESTART 1) => Return to read-eval-print level 1.
;Start debugger? (y or n): n
(restart 1)
;Abort!
(nth-root 1267650600228229401496703205376 50)
;Abort!
;Abort!
;Abort!
;Abort!
;Abort!
;Value: 1.4142119587945339
;Value: 2.0000038760178884
;Value: 1.4640870561350117
;Abort!
;Value: 1.414214491319992
;Abort!
;Start debugger? (y or n): n
;Value: 2.0000011830103324
;Value: 4.000002684062862
;Value: 2.2974013078130096
;Value: 2.000002162317112
;Value: 1.8114475458917432
;Value: 1.6817928305074292
;Abort!
;Abort!
;Abort!
;Abort!
;Abort!
;Abort!
;Abort!
;Value: 1.6817983934103364
;Value: 1.6817983934103364
;Value: 1.6817983934103364
;Value: 1.6818202130462856
;Abort!
;Quit!
;Abort!
;Abort!
;Value: 1.6817983934103364
;Value: 1.6816492697112218
;Value: 1.8114439973325949
;Value: 1.8114590805196271
;Value: 1.811282963814551
(expt 2 8)
;Value: 256
(expt 2 2)
;Value: 4
(expt 2 3)
;Value: 8
(expt 2 4)
;Value: 16
(expt 2 5)
;Value: 32
(load "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm")
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
(expt 0.5 1000)
;Value: 9.332636185032189e-302
;Value: 7.888609052210118e-31
;Value: 1267650600228229401496703205376
(nth-root 1267650600228229401496703205376 200)
;Value: 1.4142167137476003
;Abort!
;Start debugger? (y or n): n
;Abort!
;Start debugger? (y or n): n
;Value: 2.0000032790812043
;Value: 4.000001001328863
(sqrt 100)
;Value: 10
;Value: 14.142135623730951
;Value: 5.298317366548036
;The procedure #[compiled-procedure 13 ("arith" #xd1) #xf #x14aab7f] has been called with 2 arguments; it requires exactly 1 argument.
;To continue, call RESTART with an option number:
; (RESTART 2) => Return to read-eval-print level 2.
; (RESTART 1) => Return to read-eval-print level 1.
;Start debugger? (y or n): n
;Unbound variable: ln
;To continue, call RESTART with an option number:
; (RESTART 3) => Specify a value to use instead of ln.
; (RESTART 2) => Define ln to a given value.
; (RESTART 1) => Return to read-eval-print level 1.
;Start debugger? (y or n): n
;Value: 4.605170185988092
(load "d:\\github\\sicp\\chapter1\\ex1-19-clever-fib.scm")
;Loading "d:\\github\\sicp\\chapter1\\ex1-19-clever-fib.scm"... done
;Value: square
(fib 10)
;Value: 55
;Value: 13
(load "d:\\github\\sicp\\chapter1\\ex1-28-miller-rabin.scm")
;Loading "d:\\github\\sicp\\chapter1\\ex1-28-miller-rabin.scm"... done
;Value: even?
;Loading "d:\\github\\sicp\\chapter1\\ex1-28-miller-rabin.scm"... done
;Value: even?
;Loading "d:\\github\\sicp\\chapter1\\ex1-28-miller-rabin.scm"... done
;Value: even?
;Loading "d:\\github\\sicp\\chapter1\\ex1-28-miller-rabin.scm"... done
;Value: even?
(load "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm")
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
;Loading "d:\\github\\sicp\\chapter1\\ex1-45-nth-root.scm"... done
;Value: square
(nth-root 9.332636185032189e-302 1000)
;Value: .4999945302057134
;Value: .499995273048583
;Abort!
;Start debugger? (y or n): n
;Abort!
;Start debugger? (y or n): n
;Abort!
;Start debugger? (y or n): n
;Abort!
;Start debugger? (y or n): n
;Abort!
;Start debugger? (y or n): n
;Value: .4999945302057134
;Value: .4999945302057134
;Abort!
;Start debugger? (y or n): n
;Value: .4999945302057134
;Value: .499995273048583
;Value: .499995273048583
;Value: .5000000159592383
;Abort!
;Start debugger? (y or n): n
(log 1000)
;Value: 6.907755278982137
(log 4)
;Value: 1.3862943611198906
(log 5)
;Value: 1.6094379124341003
(log 10)
;Value: 2.302585092994046
(expt 2 10)
;Value: 1024
(nth-root 1024 10)
;Value: 2.0000011830103324
;Abort!
;Start debugger? (y or n): n
;Value: 2.0000011830103324