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

simplify1.6min (44.0%)

sample1.3min (34.5%)

Algorithm
56×intervals
Results
25.3s69854×body1280valid
18.2s17485×body2560valid
9.4s43597×body640valid
3.7s88162×body80valid
3.0s21297×body320valid
2.1s51574×body80nan
1.1s1101×body1280nan
1.0s9795×body80overflowed
990.0ms10460×body160valid
700.0ms47500×pre80true
602.0ms918×body640nan
309.0ms747×body1280overflowed
207.0ms522×body5120valid
184.0ms456×body320nan
108.0ms378×body640overflowed
95.0ms163×body2560overflowed
42.0ms193×body160nan
39.0ms193×body320overflowed
12.0ms90×body160overflowed

prune29.8s (13.6%)

Filtered
11381 candidates to 7578 candidates (33.4%)

series6.0s (2.7%)

Calls

369 calls:

672.0ms
(- (/ (+ (tan x) (tan eps)) (/ (- 1 (pow (* (tan x) (tan eps)) 3)) (+ (* (* (tan x) (tan eps)) (+ 1 (* (tan x) (tan eps)))) 1))) (tan x))
115.0ms
(- (/ (+ (tan x) (tan eps)) (log (exp (- 1 (* (tan x) (tan eps)))))) (tan x))
115.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
69.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))
68.0ms
(cbrt (+ (* (pow b 2) (+ (* (* 1/6 (pow eps 3)) b) (* 1/2 (pow eps 2)))) (* eps b)))

regimes5.1s (2.3%)

Accuracy

Total 25.6b remaining (18.8%)

Threshold costs 5.4b (3.9%)

4.7b82.5%quad2p (problem 3.2.1, positive)
4.5b84.3%quadp (p42, positive)
3.8b53.7%expq3 (problem 3.4.2)
3.5b87.1%quadm (p42, negative)
1.5b85.8%2nthrt (problem 3.4.6)

rewrite3.9s (1.8%)

Algorithm
111×rewrite-expression-head
Calls

369 calls:

81.0ms
(/ (- (* (- (/ 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))))
63.0ms
(+ (/ 2.0 (pow x 7)) (+ (/ 2.0 (pow x 3)) (/ 2.0 (pow x 5))))
60.0ms
(- (/ (+ (tan x) (tan eps)) (/ (- 1 (pow (* (tan x) (tan eps)) 3)) (+ (* (* (tan x) (tan eps)) (+ 1 (* (tan x) (tan eps)))) 1))) (tan x))
58.0ms
(* (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)))))))
45.0ms
(* (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)))
Rules
4759×*-un-lft-identity
4722×times-frac
4444×add-sqr-sqrt
2938×add-cube-cbrt
1314×sqrt-prod
1026×add-exp-log
788×add-cbrt-cube
681×add-log-exp
662×pow1
629×associate-*r*
573×distribute-lft-out--
566×difference-of-squares
435×unpow-prod-down
434×associate-/l*
432×cbrt-prod
406×log-prod
359×distribute-lft-out
353×associate-*l*
318×associate-/r*
259×flip-- flip3--
209×div-exp
202×div-inv
201×unswap-sqr
192×prod-exp
189×frac-sub
180×flip-+ flip3-+ log-pow
176×sqr-pow
169×associate-/r/
158×associate-*r/
152×exp-prod
147×frac-times
138×cbrt-undiv
135×swap-sqr
130×cbrt-div
129×unpow2
128×associate-*l/
120×diff-log
112×associate-/l/ cbrt-unprod
102×sub-neg
99×sqrt-div
86×pow1/3
67×clear-num frac-2neg
65×pow-exp
64×pow-prod-down
61×pow-to-exp
58×exp-sum
57×*-commutative
55×log-div
53×sum-log
51×distribute-rgt-neg-in
42×rem-log-exp sqrt-pow1 pow1/2
40×pow-unpow
37×cube-prod
36×distribute-rgt-in distribute-lft-in
32×div-sub
30×rem-sqrt-square
29×tan-quot
28×frac-add
25×unpow-prod-up
24×associate--l+ pow-pow
23×+-commutative
21×distribute-lft-neg-in
20×pow-prod-up
18×exp-diff
17×pow-sqr
14×associate-+l+
13×cube-mult associate--r+
12×unpow3
10×pow-plus
associate--l- pow2 neg-sub0
1-exp rec-exp
neg-mul-1
neg-log rem-exp-log
associate-+r+ associate-+l-
sqrt-unprod pow-sub rem-cube-cbrt
cube-div inv-pow pow-flip
exp-neg e-exp-1 tan-sum cos-sum sin-sum associate--r- pow3
associate-+r- rem-square-sqrt diff-cos sub-div diff-sin diff-atan distribute-frac-neg un-div-inv distribute-rgt-neg-out rem-cbrt-cube distribute-rgt-out-- sin-mult

localize1.4s (0.6%)

bsearch915.0ms (0.4%)

end0.0ms (0.0%)

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