Date:Tuesday, June 30th, 2020
Commit:8ccfdff1 on old-regraph
Hostname:debbie with Racket 7.7
Seed:2020182
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

simplify3.1min (61.1%)

sample1.2min (24.3%)

Algorithm
56×intervals
Results
24.8s69854×body1280valid
17.9s17485×body2560valid
9.1s43597×body640valid
3.5s88162×body80valid
2.9s21297×body320valid
1.9s51574×body80nan
1.1s1101×body1280nan
948.0ms10460×body160valid
794.0ms9795×body80overflowed
681.0ms47500×pre80true
584.0ms918×body640nan
313.0ms747×body1280overflowed
199.0ms522×body5120valid
187.0ms456×body320nan
106.0ms378×body640overflowed
92.0ms163×body2560overflowed
41.0ms193×body160nan
39.0ms193×body320overflowed
12.0ms90×body160overflowed

prune27.9s (9.2%)

Filtered
10564 candidates to 7194 candidates (31.9%)

series5.6s (1.9%)

Calls

368 calls:

632.0ms
(- (/ (+ (tan x) (tan eps)) (/ (- 1 (pow (* (tan x) (tan eps)) 3)) (+ (* (* (tan x) (tan eps)) (+ 1 (* (tan x) (tan eps)))) 1))) (tan x))
112.0ms
(- (/ (+ (tan x) (tan eps)) (log (exp (- 1 (* (tan x) (tan eps)))))) (tan x))
112.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
64.0ms
(cbrt (+ (* (pow b 2) (+ (* 1/2 (pow eps 2)) (* (* 1/6 (pow eps 3)) b))) (* eps b)))
64.0ms
(cbrt (+ (* (pow b 2) (+ (* 1/2 (pow eps 2)) (* (* 1/6 (pow eps 3)) b))) (* eps b)))

regimes4.8s (1.6%)

Accuracy

Total 25.7b remaining (18.8%)

Threshold costs 5.4b (3.9%)

4.6b84%quad2p (problem 3.2.1, positive)
4.5b84.3%quadp (p42, positive)
4.0b52.7%expq3 (problem 3.4.2)
3.4b87.3%quadm (p42, negative)
1.6b84.8%2nthrt (problem 3.4.6)

rewrite3.7s (1.2%)

Algorithm
111×rewrite-expression-head
Calls

368 calls:

80.0ms
(/ (- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))) (- (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0))))
60.0ms
(+ (/ 2.0 (pow x 5)) (+ (/ 2.0 (pow x 3)) (/ 2.0 (pow x 7))))
55.0ms
(- (/ (+ (tan x) (tan eps)) (/ (- 1 (pow (* (tan x) (tan eps)) 3)) (+ (* (* (tan x) (tan eps)) (+ 1 (* (tan x) (tan eps)))) 1))) (tan x))
53.0ms
(* (cbrt (/ (- (log 1.0) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1.0 x))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (/ (- (log 1.0) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (* 1.0 x))) (- (+ (log 1.0) (* 1.0 x)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
44.0ms
(- (* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x))) (* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0))))
Rules
3881×*-un-lft-identity
3655×add-sqr-sqrt
2989×times-frac
2120×add-cube-cbrt
1022×add-exp-log
815×sqrt-prod
786×add-cbrt-cube
666×pow1
659×add-log-exp
648×associate-*r*
565×distribute-lft-out--
561×difference-of-squares
427×cbrt-prod
413×unpow-prod-down
392×associate-*l*
366×log-prod
328×distribute-lft-out
305×associate-/l*
289×associate-/r*
259×flip-- flip3--
213×unswap-sqr
205×prod-exp
199×div-exp
182×frac-sub
173×flip-+ flip3-+
168×associate-*r/
167×sqr-pow
161×log-pow
159×associate-/r/
156×frac-times
137×div-inv
136×exp-prod
135×swap-sqr
134×associate-*l/
132×cbrt-div
129×cbrt-undiv
122×cbrt-unprod
121×unpow2
115×sqrt-div
106×sub-neg diff-log associate-/l/
85×pow1/3
66×pow-prod-down
62×exp-sum pow-exp clear-num frac-2neg
59×pow-to-exp
58×*-commutative
56×log-div
51×distribute-rgt-neg-in
50×sqrt-pow1
49×sum-log
46×pow1/2
38×rem-sqrt-square cube-prod
37×rem-log-exp distribute-rgt-in pow-unpow distribute-lft-in
29×div-sub tan-quot
28×frac-add
25×unpow-prod-up
24×+-commutative
23×associate-+l+
22×pow-pow
21×distribute-lft-neg-in associate--l+
20×pow-prod-up exp-diff
17×pow-sqr
13×cube-mult unpow3
11×associate--r+
10×pow-plus 1-exp rec-exp
associate--l- pow2 neg-sub0
neg-mul-1 associate-+l-
neg-log rem-exp-log
cube-div inv-pow pow-flip
sqrt-unprod pow-sub rem-cube-cbrt
associate-+r+
exp-neg e-exp-1 tan-sum cos-sum sin-sum
rem-square-sqrt diff-cos sub-div diff-sin diff-atan pow3 distribute-frac-neg un-div-inv distribute-rgt-neg-out rem-cbrt-cube distribute-rgt-out-- sin-mult

localize1.3s (0.4%)

bsearch773.0ms (0.3%)

end0.0ms (0.0%)

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