Date:Thursday, July 16th, 2020
Commit:f7753480 on master
Hostname:warfa with Racket 7.5
Seed:2020198
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 (58.5%)

Algorithm
56×intervals
Results
27.0s69766×body1280valid
18.7s17209×body2560valid
9.4s43647×body640valid
3.0s21538×body320valid
2.8s68111×body80valid
1.2s1098×body1280nan
956.0ms10455×body160valid
665.0ms43026×pre80true
665.0ms940×body640nan
500.0ms2984×body80overflowed
290.0ms698×body1280overflowed
201.0ms460×body320nan
178.0ms254×body640invalid
171.0ms3491×body80nan
166.0ms442×body5120valid
139.0ms109×body1280invalid
105.0ms374×body640overflowed
95.0ms1646×body80invalid
92.0ms138×body2560overflowed
76.0ms181×body320invalid
58.0ms243×body160nan
36.0ms179×body320overflowed
18.0ms74×body160invalid
15.0ms109×body160overflowed
3.0msbody2560invalid

prune17.4s (14.3%)

Filtered
10343 candidates to 6801 candidates (34.2%)

analyze10.5s (8.6%)

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

simplify8.8s (7.2%)

Algorithm
162×egg-herbie

series5.0s (4.1%)

Calls

338 calls:

266.0ms
(/ (* 4.0 (* a c)) (- (sqrt (- (* b b) (* 4.0 (* a c)))) b))
213.0ms
(* (+ (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n))) (- (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n))))
114.0ms
(- (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n)))
112.0ms
(- (pow (sqrt (+ x 1.0)) (/ 1.0 n)) (pow (sqrt x) (/ 1.0 n)))
106.0ms
(+ (/ (sin x) (* (cos x) (- 1 (* (sin eps) (/ (sin x) (* (cos x) (cos eps))))))) (- (/ (sin eps) (* (cos eps) (- 1 (* (sin eps) (/ (sin x) (* (cos x) (cos eps))))))) (/ (sin x) (cos x))))

regimes4.1s (3.4%)

Accuracy

Total 23.8b remaining (27.6%)

Threshold costs 6.8b (7.9%)

5.1b82.3%quadp (p42, positive)
4.8b82.4%quad2p (problem 3.2.1, positive)
3.0b87.5%expax (section 3.5)
1.8b83.4%2nthrt (problem 3.4.6)
1.3b94.7%quad2m (problem 3.2.1, negative)

rewrite3.0s (2.5%)

Algorithm
106×rewrite-expression-head
Calls

338 calls:

40.0ms
(- (pow (pow 1.0 3) 3) (pow (pow (cos x) 3) 3))
37.0ms
(sqrt (/ (- (pow (exp x) 2.0) 1.0) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))))
36.0ms
(+ (- (* (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ 1.0 (cbrt (+ 1.0 x)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
36.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
34.0ms
(* (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ 1.0 x)) (sqrt x)))))
Rules
4622×*-un-lft-identity
4135×add-sqr-sqrt
3802×times-frac
2253×add-cube-cbrt
1887×sqrt-prod
1072×difference-of-squares
1027×add-exp-log
926×add-cbrt-cube
793×distribute-lft-out
650×pow1
585×add-log-exp
557×unpow-prod-down
470×distribute-lft-out--
377×associate-/r*
355×associate-*r*
332×associate-/l*
302×sqr-pow
284×log-prod
270×associate-*l*
233×associate-/r/
214×prod-exp
203×div-exp flip-- cube-prod flip3--
186×cbrt-unprod
185×div-inv
181×cbrt-undiv
179×cbrt-prod
167×associate-*r/
164×flip-+ flip3-+
144×pow-unpow
112×unswap-sqr
105×sqrt-div
102×pow-prod-down
98×log-pow
96×sub-neg
87×diff-log
79×associate-/l/
75×swap-sqr
73×clear-num frac-2neg
68×unpow2
65×exp-prod
63×sqrt-pow1
61×pow1/2
59×*-commutative
58×frac-add
52×pow1/3
48×associate-*l/
47×cbrt-div
45×frac-times
42×sum-log
41×distribute-rgt-in distribute-lft-in
39×pow-pow
34×rem-sqrt-square
33×log-div
29×pow-to-exp pow-exp
27×tan-quot
25×+-commutative
24×frac-sub
22×distribute-rgt-neg-in div-sub
18×pow-prod-up
16×rem-log-exp
14×pow-sqr
13×associate--l+
12×associate-+r+
11×cube-mult unpow3
10×exp-sum 1-exp rec-exp
distribute-lft-neg-in sin-sum distribute-frac-neg exp-diff
distribute-rgt-out--
associate--l- pow2 pow-plus distribute-rgt-neg-out pow-flip
associate-+l+ associate-+r- sqrt-pow2 sqrt-unprod inv-pow
sin-mult associate--r+ rem-cube-cbrt rem-exp-log
neg-sub0 neg-mul-1 sub-div neg-log cos-mult
difference-cubes tan-sum cos-sum rem-square-sqrt sin-cos-mult associate-+l-
diff-cos exp-to-pow diff-sin diff-atan un-div-inv rem-cbrt-cube

localize1.2s (1.0%)

bsearch534.0ms (0.4%)

end0.0ms (0.0%)

Profiling

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