Date:Tuesday, July 28th, 2020
Commit:a9c380f0 on cleanup
Hostname:warfa with Racket 7.5
Seed:2020210
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

Time bar (total: 2.1min)

sample1.2min (56.5%)

Algorithm
56×intervals
Results
26.6s69867×body1280valid
18.7s17335×body2560valid
9.3s43538×body640valid
3.0s21412×body320valid
2.8s68182×body80valid
1.2s1095×body1280nan
960.0ms10373×body160valid
694.0ms982×body640nan
668.0ms43113×pre80true
487.0ms2991×body80overflowed
306.0ms718×body1280overflowed
183.0ms264×body640invalid
183.0ms440×body320nan
176.0ms461×body5120valid
166.0ms3467×body80nan
129.0ms100×body1280invalid
105.0ms163×body2560overflowed
103.0ms378×body640overflowed
96.0ms1659×body80invalid
62.0ms156×body320invalid
50.0ms221×body160nan
46.0ms226×body320overflowed
18.0ms77×body160invalid
12.0ms91×body160overflowed

prune19.8s (15.9%)

analyze9.6s (7.7%)

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

simplify9.4s (7.5%)

Algorithm
167×egg-herbie

series6.8s (5.4%)

Calls

371 calls:

451.0ms
(-.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))
442.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 eps) (tan.f64 eps))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
118.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
118.0ms
(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1.0) (/.f64 1.0 n)) (pow.f64 x (/.f64 1.0 n))))))
115.0ms
(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1.0) (/.f64 1.0 n)) (pow.f64 x (/.f64 1.0 n))))))

regimes3.7s (2.9%)

Accuracy

Total 24.1b remaining (25%)

Threshold costs 7.2b (7.5%)

8.2b0%expq3 (problem 3.4.2)
4.8b8316.2%quadp (p42, positive)
1.7b8481.5%2nthrt (problem 3.4.6)
1.3b9487.4%quadm (p42, negative)
1.0b9570.6%quad2m (problem 3.2.1, negative)

rewrite3.4s (2.7%)

Algorithm
111×rewrite-expression-head
Rules
4039×*-un-lft-identity_binary64
3888×add-sqr-sqrt_binary64
3549×times-frac_binary64
2339×add-cube-cbrt_binary64
1212×sqrt-prod_binary64
1114×add-exp-log_binary64
946×add-cbrt-cube_binary64
817×pow1_binary64
690×add-log-exp_binary64
585×difference-of-squares_binary64
515×distribute-lft-out--_binary64
470×associate-*r*_binary64
446×associate-*l*_binary64
380×distribute-lft-out_binary64
351×cbrt-prod_binary64
328×associate-/r*_binary64
278×unpow-prod-down_binary64
275×prod-exp_binary64
263×associate-/l*_binary64
253×flip3--_binary64 flip--_binary64
239×log-prod_binary64
209×associate-/r/_binary64 associate-*r/_binary64
205×cbrt-unprod_binary64
190×unswap-sqr_binary64
189×div-exp_binary64
177×flip3-+_binary64 flip-+_binary64
171×div-inv_binary64
151×cbrt-undiv_binary64
132×swap-sqr_binary64
130×pow-prod-down_binary64
128×log-pow_binary64
125×sqrt-pow1_binary64
118×sub-neg_binary64
116×sqr-pow_binary64
115×diff-log_binary64
101×frac-times_binary64
95×pow1/2_binary64
90×sqrt-div_binary64
80×associate-*l/_binary64
75×tan-quot_binary64
73×*-commutative_binary64
71×pow-unpow_binary64
69×cube-prod_binary64
66×frac-add_binary64
65×associate-/l/_binary64
62×clear-num_binary64 frac-2neg_binary64
55×sum-log_binary64
54×rem-sqrt-square_binary64
53×pow-prod-up_binary64
48×distribute-rgt-in_binary64 distribute-lft-in_binary64
47×cbrt-div_binary64
46×pow1/3_binary64 exp-prod_binary64
44×frac-sub_binary64
41×pow-exp_binary64
39×pow-to-exp_binary64
35×log-div_binary64
31×distribute-rgt-neg-in_binary64 associate--l+_binary64
28×+-commutative_binary64
25×pow-sqr_binary64
22×rem-log-exp_binary64 div-sub_binary64
21×associate--r+_binary64 distribute-lft-neg-in_binary64 neg-mul-1_binary64
19×associate-+r+_binary64
14×rec-exp_binary64 1-exp_binary64
11×associate--l-_binary64
10×unpow3_binary64 cube-mult_binary64
associate-+l+_binary64 pow-plus_binary64 pow2_binary64
pow-pow_binary64
sqrt-unprod_binary64 neg-sub0_binary64 cube-div_binary64
distribute-rgt-out--_binary64
associate-+l-_binary64 pow-flip_binary64 exp-diff_binary64 inv-pow_binary64 sin-mult_binary64 distribute-frac-neg_binary64
rem-exp-log_binary64
exp-sum_binary64 exp-to-pow_binary64 neg-log_binary64 un-div-inv_binary64
associate-+r-_binary64 rem-cbrt-cube_binary64 e-exp-1_binary64 tan-sum_binary64 sin-cos-mult_binary64 exp-neg_binary64 associate--r-_binary64 rem-square-sqrt_binary64 sub-div_binary64 cos-sum_binary64 sin-sum_binary64
distribute-rgt-neg-out_binary64 sqr-cos-a_binary64 rem-cube-cbrt_binary64 diff-sin_binary64 diff-atan_binary64 diff-cos_binary64 distribute-lft-neg-out_binary64
Calls

371 calls:

46.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))) (cbrt.f64 (/.f64 (-.f64 (log.f64 1.0) (+.f64 (*.f64 1.0 x) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (log.f64 1.0) (*.f64 1.0 x)) (*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))))))
35.0ms
(*.f64 (sqrt.f64 (/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1.0 (+.f64 (sqrt.f64 (+.f64 1.0 x)) (sqrt.f64 x)))))
34.0ms
(+.f64 (-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 2.0 x)) (/.f64 1.0 (-.f64 x 1.0)))
31.0ms
(sqrt.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 1.0 1.0) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 1.0 (cos.f64 x))) x) x))
30.0ms
(-.f64 (/.f64 1.0 (sqrt.f64 x)) (/.f64 1.0 (sqrt.f64 (+.f64 x 1.0))))

localize1.1s (0.9%)

bsearch665.0ms (0.5%)

end0.0ms (0%)

Profiling

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