Date:Wednesday, July 8th, 2020
Commit:0b6aac6b on ival-perf-with-search
Hostname:warfa with Racket 7.5
Seed:2020190
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.2min (57.4%)

Algorithm
56×intervals
Results
26.3s70001×body1280valid
18.8s17375×body2560valid
9.2s43689×body640valid
2.9s21440×body320valid
2.8s67921×body80valid
1.2s1073×body1280nan
920.0ms10314×body160valid
673.0ms43141×pre80true
661.0ms949×body640nan
506.0ms3094×body80overflowed
322.0ms756×body1280overflowed
211.0ms490×body320nan
187.0ms277×body640invalid
165.0ms3513×body80nan
164.0ms428×body5120valid
126.0ms106×body1280invalid
116.0ms174×body2560overflowed
104.0ms376×body640overflowed
100.0ms1700×body80invalid
73.0ms186×body320invalid
46.0ms212×body160nan
36.0ms184×body320overflowed
19.0ms80×body160invalid
14.0ms105×body160overflowed
2.0msbody2560invalid

prune17.8s (14.6%)

Filtered
10660 candidates to 6758 candidates (36.6%)

analyze10.1s (8.3%)

Algorithm
28×search
Search
TrueOtherFalseIter
0%90.9%9.1%0
14.3%76.7%9.1%1
21.4%67.8%10.9%2
33.2%51.7%15.1%3
37.6%44.1%18.2%4
43.8%36.2%19.9%5
46.6%32.5%20.9%6
48.1%29.6%22.3%7
49.9%27.4%22.7%8
51.1%25.4%23.5%9
51.5%24.3%24.2%10
52.4%22.9%24.7%11
53.2%21.5%25.2%12
53.5%20.9%25.6%13
53.9%20.1%26%14

simplify9.2s (7.5%)

Algorithm
164×egg-herbie

series5.9s (4.9%)

Calls

358 calls:

524.0ms
(pow (pow (exp (cbrt (log (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))) (cbrt (log (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))))) (cbrt (log (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))))))
339.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (* (tan x) (* (tan eps) (tan eps)))))) (+ 1 (/ (* (tan x) (sin eps)) (cos eps)))) (tan x))
319.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (* (tan x) (* (tan eps) (tan eps)))))) (+ 1 (* (tan x) (tan eps)))) (tan x))
97.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
76.0ms
(log (pow (exp 1/360) (pow x 6)))

regimes4.1s (3.4%)

Accuracy

Total 19.0b remaining (23.5%)

Threshold costs 6.6b (8.2%)

4.5b84.1%quadp (p42, positive)
3.2b87.6%quadm (p42, negative)
1.8b82.7%2nthrt (problem 3.4.6)
1.5b80.3%2tan (problem 3.3.2)
1.4b94.4%quad2m (problem 3.2.1, negative)

rewrite3.1s (2.6%)

Algorithm
108×rewrite-expression-head
Calls

358 calls:

131.0ms
(+ (- (/ (/ 1.0 (sqrt (+ 1.0 x))) (sqrt (+ x 1.0))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
73.0ms
(/ (- (pow (pow (exp x) 3) 3) (pow (pow 1.0 3) 3)) (+ (pow (exp x) 6) (+ (pow 1.0 6) (* (pow (exp x) 3) (pow 1.0 3)))))
44.0ms
(- (pow (pow (exp x) 3) 3) (pow (pow 1.0 3) 3))
37.0ms
(* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))
31.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
Rules
4449×*-un-lft-identity
4070×add-sqr-sqrt
3126×times-frac
2091×add-cube-cbrt
1603×sqrt-prod
1275×unpow-prod-down
1097×cube-prod
1066×add-exp-log
1039×difference-of-squares
958×add-cbrt-cube
815×distribute-lft-out
707×pow1
649×add-log-exp
518×sqr-pow
441×associate-/l*
439×distribute-lft-out--
396×associate-*r*
322×associate-*l*
305×cbrt-prod
268×associate-/r*
254×prod-exp
218×cbrt-unprod
192×associate-/r/
181×div-exp
179×flip-+ flip3-+
176×flip-- flip3--
161×cbrt-undiv
144×div-inv
142×log-prod unswap-sqr
131×pow-prod-down
129×pow-unpow
119×associate-*r/
117×sqrt-div
93×sub-neg
90×diff-log
86×swap-sqr
68×*-commutative exp-prod
66×sum-log
65×cbrt-div
64×clear-num frac-2neg
62×pow1/3
61×tan-quot log-pow
57×associate-/l/
51×sqrt-pow1
49×associate-*l/
48×pow1/2 frac-times
46×distribute-rgt-neg-in
40×distribute-rgt-in pow-exp distribute-lft-in
38×pow-pow
36×+-commutative
34×pow-to-exp
29×rem-sqrt-square
28×frac-add frac-sub
25×log-div
24×associate-+r+
22×div-sub
20×pow-prod-up
19×exp-sum
18×distribute-lft-neg-in
17×cube-mult associate--l+ pow-sqr unpow3
13×rem-log-exp difference-cubes
11×associate-+l+
10×pow-plus distribute-frac-neg associate--r+
pow2 sin-sum
1-exp rec-exp
associate--l- neg-sub0 distribute-rgt-out-- unpow2 rem-cube-cbrt
neg-mul-1 distribute-rgt-neg-out sin-mult exp-diff
sqrt-unprod neg-log
unpow-prod-up associate-+l- rem-exp-log
associate-+r- sub-div rem-cbrt-cube
cube-div tan-sum cos-sum rem-square-sqrt pow3 pow-sub
e-exp-1 diff-cos sin-cos-mult exp-to-pow inv-pow diff-sin diff-atan sqr-cos-a cos-mult pow-flip

localize1.2s (1.0%)

bsearch554.0ms (0.5%)

end0.0ms (0.0%)

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