Date:Tuesday, July 21st, 2020
Commit:7c127d0c on cleanup
Hostname:warfa with Racket 7.5
Seed:2020203
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

sample1.1min (53.6%)

Algorithm
55×intervals
Results
25.3s66216×body1280valid
18.4s17136×body2560valid
8.8s41353×body640valid
2.8s20197×body320valid
2.8s68028×body80valid
1.3s1157×body1280nan
882.0ms9799×body160valid
683.0ms42992×pre80true
657.0ms950×body640nan
513.0ms3087×body80overflowed
262.0ms629×body1280overflowed
199.0ms471×body320nan
186.0ms272×body640invalid
179.0ms3648×body80nan
172.0ms439×body5120valid
135.0ms109×body1280invalid
120.0ms184×body2560overflowed
105.0ms370×body640overflowed
97.0ms1597×body80invalid
73.0ms180×body320invalid
52.0ms216×body160nan
39.0ms185×body320overflowed
22.0ms93×body160invalid
12.0ms91×body160overflowed
3.0msbody2560invalid

prune23.2s (18.2%)

analyze10.7s (8.4%)

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

simplify8.6s (6.8%)

Algorithm
162×egg-herbie

series7.6s (6.0%)

Calls

351 calls:

636.0ms
(/ (* eps (- (pow (exp (+ a b)) eps) 1.0)) (* (- (pow (exp a) eps) 1.0) (* eps (+ (log 1) (+ b (* eps (* 1/2 (pow (log 1) 2))))))))
635.0ms
(* eps (/ (- (pow (exp (+ a b)) eps) 1.0) (* (- (pow (exp a) eps) 1.0) (* eps (+ (log 1) (+ b (* eps (* 1/2 (pow (log 1) 2)))))))))
555.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (pow (* (tan x) (tan eps)) 3))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps)))))) (tan x))
512.0ms
(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))))))
308.0ms
(- (* (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (* (tan x) (* (tan eps) (tan eps)))))) (+ 1 (* (tan x) (tan eps)))) (tan x))

regimes4.4s (3.5%)

Accuracy

Total 22.8b remaining (17.7%)

Threshold costs 5.5b (4.3%)

4.9b82.8%quadp (p42, positive)
4.4b84.4%quad2p (problem 3.2.1, positive)
2.6b63%2tan (problem 3.3.2)
1.6b57.7%expq3 (problem 3.4.2)
1.5b86.6%2nthrt (problem 3.4.6)

rewrite2.7s (2.1%)

Algorithm
107×rewrite-expression-head
Calls

351 calls:

33.0ms
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))
30.0ms
(/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))
29.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
29.0ms
(+ (/ 1.0 N) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))))
25.0ms
(/ (* eps (- (pow (exp (+ a b)) eps) 1.0)) (* (- (pow (exp a) eps) 1.0) (* eps (+ (log 1) (+ b (* eps (* 1/2 (pow (log 1) 2))))))))
Rules
3352×*-un-lft-identity
2959×add-sqr-sqrt
2290×times-frac
1752×add-cube-cbrt
1167×sqrt-prod
1083×add-exp-log
940×add-cbrt-cube
704×pow1
608×add-log-exp
556×difference-of-squares
507×distribute-lft-out
359×distribute-lft-out--
343×unpow-prod-down
320×cbrt-prod
305×associate-/r*
287×associate-/l*
273×prod-exp
236×associate-*r*
217×cbrt-unprod
213×log-prod
210×associate-*l*
203×flip-- flip3--
200×div-exp
177×associate-/r/
162×flip-+ flip3-+
161×associate-*r/
158×cbrt-undiv
143×sqr-pow
133×pow-prod-down
122×sqrt-div
121×div-inv
118×exp-prod
99×sub-neg
93×log-pow
91×cube-prod
90×diff-log
84×tan-quot
82×unswap-sqr
78×frac-times
74×pow-pow
73×pow-unpow
70×cbrt-div
65×pow1/3
61×clear-num frac-2neg
60×associate-*l/
57×*-commutative
56×distribute-rgt-in distribute-lft-in
52×associate-/l/
47×exp-sum
45×sum-log
41×sqrt-pow1 pow1/2
40×swap-sqr
38×pow-exp
34×pow-to-exp
32×log-div
28×frac-add
27×rem-sqrt-square
25×+-commutative frac-sub
23×rem-log-exp
22×associate-+r+
21×distribute-rgt-neg-in
18×1-exp div-sub rec-exp
17×associate--l+
16×cube-mult pow-prod-up
15×unpow3
14×pow-sqr
13×exp-diff
cube-div
rem-cube-cbrt
pow-plus
associate--l- pow2 pow-flip
neg-sub0 inv-pow
unpow-prod-up associate-+l+ sqrt-unprod associate--r+ rem-exp-log
sin-sum neg-log rem-cbrt-cube sin-mult unpow2
exp-neg tan-sum cos-sum associate-+r- distribute-frac-neg distribute-rgt-neg-out associate-+l-
difference-cubes rem-square-sqrt diff-cos sin-cos-mult exp-to-pow sub-div diff-sin diff-atan un-div-inv distribute-rgt-out--

localize1.3s (1.0%)

bsearch573.0ms (0.4%)

end0.0ms (0.0%)

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