Details

sample4.5m (55.1%)

Algorithm
56×intervals
16×halfpoints
Results
53.3s66864×body1280valid
32.7s17297×body2560valid
18.3s42188×body640valid
10.8s12596×body10240exit
8.3s94158×body80valid
5.5s20297×body320valid
5.1s62879×body80nan
1.9s10749×body160valid
1.6s47456×pre80true
565.0ms726×body1280nan
408.0ms442×body5120valid
339.0ms678×body640nan
113.0ms368×body320nan
34.0ms187×body160nan

rewrite1.5m (18.5%)

Algorithm
123×rewrite-expression-head
Calls

404 calls:

1.1m
(- (+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0))) 1.0)
5.9s
(+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0)))
1.7s
(+ 1.0 (+ (- (* (log n) 1.0) 1.0) (- (/ (/ 1.0 2.0) n) (/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2)))))
450.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
391.0ms
(/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))
Rules
6191×*-un-lft-identity
5837×times-frac
5796×add-sqr-sqrt
3369×add-cube-cbrt
2138×sqrt-prod
1511×add-exp-log
1236×unpow-prod-down
1044×add-cbrt-cube
991×associate-*r*
932×difference-of-squares
860×distribute-lft-out
774×add-log-exp
765×pow1
638×distribute-lft-out--
614×cube-prod
581×associate-*l*
560×cbrt-prod
506×sqr-pow
495×associate-/l*
392×prod-exp
376×div-exp
369×flip3-- flip--
320×unswap-sqr
312×div-inv
302×associate-/r*
286×associate-*l/
253×distribute-rgt-neg-in
251×associate-/r/
233×swap-sqr frac-times
202×cbrt-undiv
201×flip-+ cbrt-unprod flip3-+
200×log-prod
193×unpow2
175×frac-sub
168×associate-/l/
159×associate-*r/
155×exp-prod
137×distribute-lft-neg-in
127×diff-log
126×neg-sub0
123×exp-neg
122×log-pow
121×pow-prod-down
120×sub-neg
118×sqrt-div
115×exp-diff
95×pow-unpow
93×pow-exp
92×pow-to-exp
84×sqrt-pow1
82×cbrt-div *-commutative sum-log
69×frac-2neg clear-num
66×frac-add
63×pow1/2 pow1/3
46×pow-prod-up
45×cube-mult
43×log-div
40×unpow3 1-exp rec-exp
38×difference-cubes pow-sqr
35×+-commutative exp-sum
34×distribute-rgt-in distribute-lft-in
33×associate--l+
32×tan-quot rem-sqrt-square
31×div-sub
24×complex-mul-def
23×rem-log-exp
22×pow-pow
21×associate--l- associate--r+
20×un-div-inv
18×associate-+l+
17×neg-mul-1
15×associate-+r- distribute-rgt-out-- associate-+r+ associate-+l-
14×cube-div
13×neg-log
12×pow-plus pow2 exp-to-pow
pow-flip
rem-cube-cbrt distribute-frac-neg
cos-mult
sqrt-unprod sqrt-undiv *.c-commutative
inv-pow sin-mult exp-lft-cube
+.c-commutative complex-add-def rem-cbrt-cube
rem-exp-log rem-square-sqrt sub-div
cos-sum sub0-neg pow-neg associate-+l+.c distribute-lft-neg-out associate--r- pow-sub difference-of-sqr-1 unsub-neg associate-*l*.c tan-sum frac-2neg.c sin-sum
+-inverses diff-atan sin-cos-mult diff-cos distribute-neg-frac diff-sin

prune53.4s (11.0%)

series48.9s (10.1%)

Calls

404 calls:

758.0ms
(/ (* 1.0 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
723.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1.0 n)) (pow (cbrt x) (/ 1.0 n))))
688.0ms
(/ (* 1.0 (/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt x) (sqrt (+ x 1.0))))
610.0ms
(- (pow (+ x 1.0) (/ 1.0 n)) (* (pow (* (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ 1.0 n)) (pow (cbrt x) (/ 1.0 n))))
523.0ms
(log (exp (pow (cbrt (cbrt x)) 4)))

simplify14.9s (3.1%)

regimes4.5s (0.9%)

Accuracy

Total 18.9b remaining (9.3%)

Threshold costs 6.0b (3%)

3.2b0%expq3 (problem 3.4.2)
1.8b90.4%2nthrt (problem 3.4.6)
1.5b85.2%2cos (problem 3.3.5)
1.4b94.2%quad2m (problem 3.2.1, negative)
1.3b94.5%quad2p (problem 3.2.1, positive)

localize4.4s (0.9%)

bsearch2.1s (0.4%)

end1.0ms (0.0%)