Date:Friday, June 19th, 2020
Commit:f6142ecc on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020171
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 (27.5%)

Algorithm
62×intervals
Results
20.2s30746×body1280valid
14.8s175867×body80valid
9.5s20576×body640valid
6.4s7531×body2560valid
4.7s50332×body80nan
3.4s744×body5120invalid
3.4s1316×body2560invalid
3.3s9863×body320valid
2.7s4724×body1280nan
2.6s23734×body80invalid
2.0s2523×body5120valid
1.9s3657×body1280invalid
1.8s8830×body160valid
1.7s4048×body640nan
1.1s3015×body640invalid
615.0ms2023×body320nan
472.0ms1725×body320invalid
434.0ms680×body5120exit
348.0ms2435×body80overflowed
170.0ms905×body160invalid
148.0ms8256×pre80true
121.0ms670×body160nan

prune1.2min (22.0%)

Filtered
30270 candidates to 12757 candidates (57.9%)

analyze1.1min (20.0%)

Algorithm
62×search

series30.4s (9.2%)

Calls

451 calls:

1.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))

bsearch23.0s (6.9%)

regimes20.3s (6.1%)

Accuracy

Total 34.5b remaining (15.6%)

Threshold costs 6.0b (2.7%)

10.1b26.2%Toniolo and Linder, Equation (13)
5.2b78.5%Toniolo and Linder, Equation (7)
4.6b52.5%Toniolo and Linder, Equation (10-)
3.7b32.1%Henrywood and Agarwal, Equation (12)
2.2b37.2%Toniolo and Linder, Equation (10+)

simplify17.1s (5.1%)

Algorithm
179×egg-herbie

rewrite8.3s (2.5%)

Algorithm
117×rewrite-expression-head
Calls

451 calls:

344.0ms
(/ (* 2.0 (* l l)) (* (* (pow k (/ 2.0 2)) (* (pow (/ 1 t) (/ 2.0 2)) (* (pow (/ 1 (* (cbrt t) (cbrt t))) (/ 2.0 2)) (* (pow (/ k (cbrt t)) (/ 2.0 2)) (* (pow t 3.0) (tan k)))))) (sin k)))
95.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ 1 (* (cbrt t) (cbrt t))) (/ 2.0 2)) (* (pow (/ k (cbrt t)) (/ 2.0 2)) (* (pow t 3.0) (tan k))))) (sin k)))
81.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
80.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
49.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) a1)
Rules
117518×add-exp-log
92275×prod-exp
34677×pow-exp
27404×div-exp
14299×pow-to-exp
5190×times-frac
4752×1-exp rec-exp
4699×add-sqr-sqrt
4340×*-un-lft-identity
3795×add-cube-cbrt
2840×add-cbrt-cube
2746×sqrt-prod
1395×pow1
1309×associate-*l*
1267×cbrt-unprod
1083×unpow-prod-down
860×associate-*r*
604×associate-*r/
527×cbrt-prod
524×add-log-exp
439×pow-prod-down
435×cbrt-undiv
408×sqrt-div
373×associate-/r*
338×associate-/l*
292×unswap-sqr
288×pow-unpow
279×div-inv
275×sqr-pow
241×frac-times
230×associate-*l/
220×distribute-lft-out
217×flip-- flip3--
175×associate-/r/
160×*-commutative
156×flip-+ flip3-+
142×log-prod
127×sqrt-pow1
109×distribute-rgt-in distribute-lft-in
102×difference-of-squares
91×distribute-rgt-neg-in
87×tan-quot
86×distribute-lft-out--
84×clear-num frac-2neg
78×pow1/2
68×sub-neg
67×distribute-lft-neg-in
66×pow1/3
63×cube-prod
60×rem-sqrt-square
56×pow-prod-up pow-pow
53×frac-sub
40×frac-add
36×pow-sqr
34×associate--l+
32×associate-/l/
28×swap-sqr
27×unpow2
26×sum-log
23×cbrt-div pow-plus
22×+-commutative log-pow
18×pow2
16×exp-prod
15×div-sub
14×cube-div
13×rem-cube-cbrt
12×cube-mult unpow3
11×rem-log-exp neg-sub0 diff-log un-div-inv pow-neg pow-sub
10×cos-sum
associate-+r+ neg-mul-1
pow-flip
cos-diff log-div
acos-asin inv-pow rem-cbrt-cube
exp-sum unpow-prod-up asin-acos
associate-+r- rem-square-sqrt sqrt-unprod unsub-neg distribute-neg-frac rem-exp-log
e-exp-1 associate-+l+ sqrt-undiv sub-div mul0 distribute-frac-neg

localize2.3s (0.7%)

end1.0ms (0.0%)

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