Date:Tuesday, June 23rd, 2020
Commit:ce6c70f5 on ival-perf-with-search
Hostname:warfa with Racket 7.5
Seed:2020175
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 (33.8%)

Algorithm
62×intervals
Results
20.1s30901×body1280valid
14.6s175721×body80valid
9.4s20440×body640valid
6.2s7599×body2560valid
4.6s50277×body80nan
3.9s781×body5120invalid
3.3s1358×body2560invalid
3.1s9842×body320valid
2.7s4609×body1280nan
2.6s24124×body80invalid
2.1s2564×body5120valid
1.9s3699×body1280invalid
1.8s8869×body160valid
1.7s3970×body640nan
1.1s3130×body640invalid
605.0ms1972×body320nan
457.0ms1769×body320invalid
415.0ms632×body5120exit
342.0ms2496×body80overflowed
172.0ms898×body160invalid
148.0ms8256×pre80true
135.0ms694×body160nan

analyze1.1min (24.3%)

Algorithm
62×search

prune37.3s (13.9%)

Filtered
19551 candidates to 9523 candidates (51.3%)

series27.6s (10.3%)

Calls

452 calls:

2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (cbrt (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))) (cbrt (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (cbrt (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
371.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes19.5s (7.3%)

Accuracy

Total 48.1b remaining (20.8%)

Threshold costs 5.2b (2.3%)

6.8b41.1%Toniolo and Linder, Equation (10-)
5.9b38.9%Toniolo and Linder, Equation (13)
5.7b45.8%Henrywood and Agarwal, Equation (3)
5.4b0%Maksimov and Kolovsky, Equation (3)
5.4b77%Toniolo and Linder, Equation (7)

simplify13.3s (5.0%)

Algorithm
183×egg-herbie

bsearch6.8s (2.5%)

rewrite5.9s (2.2%)

Algorithm
121×rewrite-expression-head
Calls

452 calls:

97.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
91.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
63.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
60.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
50.0ms
(* (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (* PI t)) (/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3)))
Rules
36552×add-exp-log
25180×prod-exp
10032×pow-exp
9402×div-exp
3613×pow-to-exp
3607×add-sqr-sqrt
3493×*-un-lft-identity
3283×add-cbrt-cube
2781×times-frac
2566×add-cube-cbrt
1580×cbrt-unprod
1425×pow1
1317×1-exp rec-exp
1110×associate-*l*
1050×associate-*r/
936×associate-*r*
929×unpow-prod-down
875×sqrt-prod
687×sqrt-div
686×cbrt-prod
611×frac-times
595×cbrt-undiv
522×add-log-exp
490×associate-*l/
489×pow-prod-down
470×exp-prod
412×flip-- flip3--
398×cbrt-div
340×distribute-lft-out
281×unswap-sqr
272×pow-unpow
245×associate-/r/
236×associate-/r*
235×associate-/l*
221×sqr-pow
214×distribute-lft-out--
210×div-inv
197×sqrt-pow1
189×flip-+ flip3-+
181×difference-of-squares
166×log-prod
165×*-commutative
144×cube-prod
143×log-pow
124×distribute-rgt-neg-in
118×tan-quot
104×distribute-rgt-in distribute-lft-in
90×pow1/2
87×pow-pow
85×frac-sub
80×clear-num frac-2neg
76×distribute-lft-neg-in
60×sub-neg
58×rem-sqrt-square
56×pow1/3
41×associate-/l/
39×swap-sqr
35×div-sub
31×exp-diff
28×pow-flip
23×pow-prod-up
22×cube-mult associate--l+ unpow3
21×sum-log
19×unpow2
18×+-commutative log-div
16×frac-add associate-+r+
15×rem-log-exp pow-sqr
14×exp-sum
13×diff-log rem-cube-cbrt rem-exp-log
12×cube-div neg-sub0
11×un-div-inv
10×neg-mul-1
distribute-rgt-out--
cos-sum associate-+r- unsub-neg pow-sub
pow2 acos-asin pow-plus sub-div pow-neg
exp-neg cos-diff associate-+l+ distribute-frac-neg
rem-square-sqrt sqrt-unprod inv-pow asin-acos rem-cbrt-cube
exp-to-pow mul0

localize2.3s (0.9%)

end2.0ms (0.0%)

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