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

sample1.5min (41.6%)

Algorithm
62×intervals
Results
20.1s30501×body1280valid
14.8s175771×body80valid
9.5s20795×body640valid
6.3s7534×body2560valid
4.7s50893×body80nan
3.6s1315×body2560invalid
3.5s772×body5120invalid
3.2s9886×body320valid
2.7s4630×body1280nan
2.6s24056×body80invalid
2.2s2568×body5120valid
2.0s8881×body160valid
1.9s3685×body1280invalid
1.7s3940×body640nan
1.0s3025×body640invalid
621.0ms1961×body320nan
473.0ms1748×body320invalid
407.0ms630×body5120exit
340.0ms2497×body80overflowed
166.0ms894×body160invalid
147.0ms8256×pre80true
125.0ms649×body160nan

analyze34.4s (15.5%)

Algorithm
31×search
Search
TrueOtherFalseIter
0%98.2%1.8%0
3.2%95%1.8%1
5.6%91%3.4%2
8%84.5%7.4%3
9.8%80.7%9.5%4
13.5%76.9%9.7%5
16%72.8%11.2%6
18.1%68.2%13.7%7
21.2%62.6%16.2%8
24.7%57%18.2%9
26.4%53.6%20%10
28.9%49.8%21.3%11
30.2%47.2%22.5%12
31.9%42.5%25.7%13
32.9%40.8%26.3%14

prune32.8s (14.8%)

Filtered
18661 candidates to 10065 candidates (46.1%)

series25.3s (11.4%)

Calls

460 calls:

1.9s
(sqrt (* 2.0 (* n (* U (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* 2.0 (* l (/ l Om)))))))))
1.9s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
1.9s
(sqrt (* 2.0 (* (* n U) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* 2.0 (* l (/ l Om))))))))
1.9s
(sqrt (* 2.0 (* n (* U (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* 2.0 (* l (/ l Om)))))))))
330.0ms
(* (* n U) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* 2.0 (* l (/ l Om))))))

regimes17.9s (8.1%)

Accuracy

Total 42.2b remaining (19.5%)

Threshold costs 5.0b (2.3%)

6.2b12.3%Toniolo and Linder, Equation (13)
5.6b24.2%Henrywood and Agarwal, Equation (3)
5.4b0%Maksimov and Kolovsky, Equation (3)
5.3b77.3%Toniolo and Linder, Equation (7)
4.3b8%Toniolo and Linder, Equation (10+)

simplify11.1s (5.0%)

Algorithm
183×egg-herbie

rewrite5.3s (2.4%)

Algorithm
121×rewrite-expression-head
Calls

460 calls:

94.0ms
(* l (* 2.0 (* (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0) (* l (* (/ (cos k) (pow (sin k) 2)) (pow (* (pow (pow k (/ (neg 2.0) 2)) 1.0) (pow (pow t (neg 1.0)) 1.0)) 1.0))))))
80.0ms
(* l (* 2.0 (* (pow (* (pow (pow k (/ (neg 2.0) 2)) 1.0) (* (pow (pow t (neg 1.0)) 1.0) (pow (pow k (/ (neg 2.0) 2)) 1.0))) 1.0) (* (/ (cos k) (pow (sin k) 2)) l))))
60.0ms
(- (/ 1.0 (sin B)) (/ (/ 1 (tan B)) (/ 1 (* x 1.0))))
47.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
44.0ms
(+ (/ (* c0 (* d (neg d))) (* w (* h (* D (neg D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
Rules
22999×add-exp-log
17988×prod-exp
10579×pow-exp
4546×add-sqr-sqrt
4328×pow-to-exp
4250×times-frac
4101×div-exp
4016×*-un-lft-identity
3358×add-cube-cbrt
2721×add-cbrt-cube
1604×sqrt-prod
1324×pow1
1167×associate-*r*
1136×cbrt-unprod
1132×associate-*l*
992×unpow-prod-down
544×associate-*r/
529×add-log-exp
441×associate-/l*
436×cbrt-undiv
428×pow-prod-down
421×cbrt-prod
382×unswap-sqr
374×associate-/r*
355×sqr-pow
327×sqrt-div
293×pow-unpow
269×div-inv
267×distribute-lft-out
255×associate-*l/
211×frac-times
180×*-commutative
177×associate-/r/
165×flip-+ flip3-+
153×flip-- flip3--
142×difference-of-squares
113×sqrt-pow1
111×log-prod
96×clear-num frac-2neg
87×tan-quot
80×pow1/2
68×distribute-lft-out--
66×pow1/3
62×distribute-rgt-in distribute-lft-in
51×rem-sqrt-square
47×associate-/l/
45×swap-sqr pow-pow
36×cbrt-div sub-neg cube-prod
31×1-exp rec-exp
27×distribute-lft-neg-in distribute-rgt-neg-in
25×log-pow
24×frac-add
21×sum-log pow-prod-up
19×div-sub
18×exp-sum +-commutative
16×cube-div
15×exp-prod unpow2
14×diff-log pow-sqr
12×rem-log-exp
10×sinh-def distribute-frac-neg pow-sub
neg-mul-1 sinh-undef pow-neg
log-div pow-flip rem-cube-cbrt
neg-sub0 cosh-undef
associate-+r+ pow-plus inv-pow
pow2 cube-mult associate--r+ unpow3
acos-asin cosh-def frac-sub associate-+r- un-div-inv exp-diff
cos-diff cos-sum
unpow-prod-up rem-square-sqrt sqrt-unprod associate--l+ asin-acos distribute-rgt-neg-out rem-exp-log
associate-+l+ sqrt-undiv mul0-rgt rem-cbrt-cube

localize2.2s (1.0%)

bsearch608.0ms (0.3%)

end0.0ms (0.0%)

Profiling

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