Date:Tuesday, August 11th, 2020
Commit:bcfc386d on master
Hostname:warfa with Racket 7.5
Seed:2020224
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 (63.6%)

Algorithm
56×intervals
Results
26.1s69842×body1280valid
18.5s17231×body2560valid
9.1s43696×body640valid
2.9s21476×body320valid
2.8s68116×body80valid
1.1s1073×body1280nan
914.0ms10301×body160valid
653.0ms43071×pre80true
618.0ms892×body640nan
481.0ms2907×body80overflowed
376.0ms3546×body80nan
298.0ms713×body1280overflowed
186.0ms458×body320nan
184.0ms506×body5120valid
182.0ms268×body640invalid
161.0ms121×body1280invalid
107.0ms398×body640overflowed
107.0ms171×body2560overflowed
96.0ms1683×body80invalid
68.0ms178×body320invalid
57.0ms246×body160nan
40.0ms190×body320overflowed
19.0ms82×body160invalid
12.0ms89×body160overflowed

analyze9.9s (9.1%)

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 (8.4%)

Algorithm
162×egg-herbie

prune7.3s (6.6%)

Filtered
10504 candidates to 6520 candidates (37.9%)

series5.6s (5.1%)

Calls

348 calls:

403.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 eps)) (*.f64 (tan.f64 x) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
114.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
112.0ms
(-.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps))) (+.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
75.0ms
(/.f64 (*.f64 4 (*.f64 a c)) (-.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))))
68.0ms
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) 1)) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) 1) (-.f64 (exp.f64 (*.f64 b eps)) 1)))

rewrite3.7s (3.4%)

Algorithm
106×rewrite-expression-head
Calls

348 calls:

101.0ms
(+.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) -1) x) x) (/.f64 -1 (pow.f64 x 4)))
90.0ms
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))))
64.0ms
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
58.0ms
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3)))
53.0ms
(+.f64 (*.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 -1 (pow.f64 x 4)))
Rules
5918×*-un-lft-identity_binary64
4213×times-frac_binary64
3958×add-sqr-sqrt_binary64
2165×add-cube-cbrt_binary64
1498×distribute-lft-out_binary64
1497×sqrt-prod_binary64
943×add-exp-log_binary64
781×add-cbrt-cube_binary64
735×pow1_binary64
666×difference-of-squares_binary64
597×add-log-exp_binary64
589×distribute-lft-out--_binary64
572×cbrt-prod_binary64
566×div-inv_binary64
437×unpow-prod-down_binary64
408×associate-/l*_binary64
396×associate-*r*_binary64
347×associate-/r*_binary64
321×cube-prod_binary64
266×associate-*l*_binary64
198×associate-/r/_binary64
197×flip3-+_binary64 flip-+_binary64
186×div-exp_binary64
165×prod-exp_binary64
163×log-prod_binary64
160×sqr-pow_binary64
158×swap-sqr_binary64
157×flip3--_binary64 flip--_binary64
156×unswap-sqr_binary64
134×cbrt-undiv_binary64
126×sqrt-div_binary64
119×log-pow_binary64
118×cbrt-unprod_binary64
109×associate-*r/_binary64
108×difference-of-sqr-1_binary64
102×cbrt-div_binary64
94×frac-add_binary64
93×frac-times_binary64
92×pow-prod-down_binary64
82×diff-log_binary64
80×sub-neg_binary64
79×tan-quot_binary64
73×clear-num_binary64 frac-2neg_binary64
69×sqrt-pow1_binary64
62×pow1/3_binary64
54×difference-of-sqr--1_binary64
53×*-commutative_binary64
52×sum-log_binary64 log-div_binary64
50×associate-/l/_binary64 exp-prod_binary64
49×pow1/2_binary64 pow-flip_binary64
48×associate-*l/_binary64
43×pow-unpow_binary64
35×distribute-rgt-neg-in_binary64 +-commutative_binary64 associate--l+_binary64
33×frac-sub_binary64
31×inv-pow_binary64 pow-pow_binary64
30×pow-to-exp_binary64 rec-exp_binary64 1-exp_binary64 pow-exp_binary64 distribute-lft-neg-in_binary64
26×rem-sqrt-square_binary64
25×pow-prod-up_binary64
24×neg-mul-1_binary64
23×div-sub_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64
20×rem-log-exp_binary64
19×pow-sqr_binary64
18×unpow3_binary64 cube-mult_binary64
17×associate--r+_binary64
15×associate-+r+_binary64
12×associate-+l-_binary64
associate--l-_binary64 pow-plus_binary64
pow2_binary64
cube-div_binary64 rem-cube-cbrt_binary64
neg-sub0_binary64 e-exp-1_binary64
associate-+l+_binary64 sin-mult_binary64
associate-+r-_binary64 rem-exp-log_binary64 sqr-sin-a_binary64 distribute-frac-neg_binary64 distribute-rgt-out--_binary64
sqrt-unprod_binary64 rem-cbrt-cube_binary64 unpow2_binary64 exp-to-pow_binary64 exp-diff_binary64 tan-sum_binary64 sin-cos-mult_binary64 exp-neg_binary64 associate--r-_binary64 rem-square-sqrt_binary64 cos-sum_binary64 un-div-inv_binary64 sin-sum_binary64
difference-cubes_binary64 sqrt-pow2_binary64 sum-cubes_binary64 distribute-rgt-out_binary64 distribute-lft1-in_binary64 neg-log_binary64 diff-sin_binary64 sub-div_binary64 diff-atan_binary64 diff-cos_binary64

regimes2.5s (2.2%)

Accuracy

Total 21.5b remaining (25.5%)

Threshold costs 4.4b (5.3%)

4.5b84.5%quadp (p42, positive)
3.1b0%expq3 (problem 3.4.2)
2.5b89.5%expax (section 3.5)
1.6b85.8%2nthrt (problem 3.4.6)
1.5b93.6%quad2p (problem 3.2.1, positive)

localize1.1s (1.0%)

bsearch698.0ms (0.6%)

end1.0ms (0.0%)

Profiling

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