Date:Friday, July 3rd, 2020
Commit:8652dc03 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020185
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 (40.1%)

Algorithm
62×intervals
Results
20.5s30943×body1280valid
14.7s175636×body80valid
9.5s20480×body640valid
6.4s7520×body2560valid
4.7s51051×body80nan
3.6s796×body5120invalid
3.4s1335×body2560invalid
3.2s9883×body320valid
2.8s4784×body1280nan
2.6s24552×body80invalid
2.1s3692×body1280invalid
2.1s2523×body5120valid
1.8s8951×body160valid
1.8s4021×body640nan
1.1s3061×body640invalid
640.0ms2042×body320nan
488.0ms1791×body320invalid
383.0ms610×body5120exit
368.0ms2661×body80overflowed
180.0ms930×body160invalid
144.0ms721×body160nan
144.0ms8256×pre80true

prune39.2s (17.1%)

Filtered
19978 candidates to 10482 candidates (47.5%)

analyze33.3s (14.5%)

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

series27.5s (12.0%)

Calls

450 calls:

2.1s
(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))) (* (- U* U) (pow (/ l Om) (/ 2.0 2)))) (* 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)) (* (- U* U) (pow (/ l Om) (/ 2.0 2))))) (* 2.0 (* l (/ l Om)))))))))
339.0ms
(* (* n U) (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om))))))

regimes17.0s (7.4%)

Accuracy

Total 35.9b remaining (18.8%)

Threshold costs 4.4b (2.3%)

7.8b12.5%Henrywood and Agarwal, Equation (13)
5.1b77.9%Toniolo and Linder, Equation (7)
4.2b43%Toniolo and Linder, Equation (13)
4.1b0%Henrywood and Agarwal, Equation (12)
4.1b18.6%Toniolo and Linder, Equation (10+)

simplify11.4s (5.0%)

Algorithm
181×egg-herbie

rewrite5.8s (2.5%)

Algorithm
119×rewrite-expression-head
Calls

450 calls:

95.0ms
(* 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))))))
82.0ms
(* 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))))
69.0ms
(* (* (/ (+ (* a1 a1) (* a2 a2)) (fabs (cbrt (sqrt 2.0)))) (cos th)) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))))
67.0ms
(* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
55.0ms
(* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
Rules
22968×add-exp-log
17768×prod-exp
10026×pow-exp
7189×times-frac
6030×add-sqr-sqrt
5506×*-un-lft-identity
4841×sqrt-prod
4752×add-cube-cbrt
4370×div-exp
4199×pow-to-exp
2810×add-cbrt-cube
1960×associate-*r*
1378×pow1
1288×cbrt-unprod
1085×cbrt-prod
1074×unpow-prod-down
1042×associate-*l*
730×associate-*r/
553×add-log-exp
513×cbrt-undiv
465×pow-prod-down
463×associate-/l*
461×sqr-pow
406×frac-times
334×sqrt-div unswap-sqr
329×associate-*l/
320×distribute-lft-out
301×associate-/r*
297×pow-unpow
291×div-inv
249×difference-of-squares
245×flip-+ flip3-+
171×*-commutative
157×flip-- flip3--
156×sqrt-pow1
140×exp-prod
137×cbrt-div
131×associate-/r/
118×distribute-lft-out--
103×distribute-rgt-in distribute-lft-in tan-quot
99×pow1/2
79×clear-num frac-2neg
71×sub-neg
69×log-prod
66×pow1/3
63×swap-sqr
62×rem-sqrt-square
57×cube-prod
54×pow-pow
53×associate-/l/
49×frac-add
35×sum-log
31×+-commutative
30×pow-flip
27×distribute-lft-neg-in distribute-rgt-neg-in 1-exp div-sub rec-exp
23×pow-prod-up
21×unpow2
18×frac-sub associate-+r-
17×cube-mult unpow3
16×pow-sqr
15×associate-+r+ diff-log
13×pow-div
12×sinh-def
10×inv-pow
neg-mul-1 sinh-undef distribute-frac-neg pow-neg pow-sub
neg-sub0 pow-plus cosh-undef
pow2 cosh-def rem-exp-log
asin-acos exp-diff
cube-div cos-diff cos-sum associate--l+
log-pow
rem-log-exp rem-square-sqrt sqrt-unprod un-div-inv sin-mult associate--r+ rem-cube-cbrt
acos-asin unpow-prod-up log-div sqrt-undiv sub-div associate--r- pow3 cos-mult sum-cubes mul0-rgt rem-cbrt-cube

localize2.5s (1.1%)

bsearch768.0ms (0.3%)

end1.0ms (0.0%)

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