Date:Monday, March 2nd, 2020
Commit:957f66ec on more-ival-tests
Hostname:warfa with Racket 7.5
Seed:2020062
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

series1.6m (37.2%)

Calls

415 calls:

4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.6s
(sqrt (* (* (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

sample1.4m (32.4%)

Algorithm
61×intervals
Results
15.6s249001×body80valid
15.4s30838×body1280valid
11.0s166976×body80nan
9.0s8968×body2560valid
7.4s20971×body640valid
5.1s3369×body5120valid
2.3s9986×body320valid
1.4s9289×body160valid
850.0ms2579×body1280nan
596.0ms2375×body640nan
340.0ms660×body10240exit
208.0ms1190×body320nan
109.0ms8256×pre80true
68.0ms600×body160nan

prune46.2s (18.0%)

simplify11.4s (4.4%)

Algorithm
171×egg-herbie

regimes9.7s (3.8%)

Accuracy

Total 43.4b remaining (21.7%)

Threshold costs 4.2b (2.1%)

7.9b9.2%Toniolo and Linder, Equation (13)
6.1b-4.8%Henrywood and Agarwal, Equation (12)
6.0b74.2%Toniolo and Linder, Equation (7)
5.2b8.6%Toniolo and Linder, Equation (10+)
4.6b50.7%Henrywood and Agarwal, Equation (3)

rewrite5.3s (2.1%)

Algorithm
111×rewrite-expression-head
Calls

415 calls:

235.0ms
(* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))))
67.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
66.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
62.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (/ 1 l))))
61.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
Rules
21771×add-exp-log
14133×prod-exp
6588×pow-exp
6254×div-exp
4839×times-frac
4702×add-sqr-sqrt
3896×*-un-lft-identity
3521×sqrt-prod
3259×add-cube-cbrt
2676×pow-to-exp
2641×add-cbrt-cube
1968×associate-*r/
1221×associate-*r*
1151×pow1
1083×associate-*l*
1070×cbrt-unprod
952×cbrt-div
909×flip3-- flip--
812×1-exp
779×unpow-prod-down
753×frac-times
632×frac-sub
627×sqrt-div
505×cbrt-undiv
488×add-log-exp
474×unswap-sqr
376×pow-prod-down
356×associate-*l/
348×rec-exp
341×associate-/r*
321×associate-/l*
283×cbrt-prod
254×div-inv
232×pow-unpow
230×sqr-pow
197×distribute-lft-out
164×associate-/r/
149×*-commutative
141×flip-+ flip3-+
131×distribute-lft-out--
120×exp-prod
90×clear-num frac-2neg
89×sqrt-pow1
85×distribute-rgt-neg-in
74×difference-of-squares tan-quot
66×distribute-rgt-in distribute-lft-in
62×distribute-lft-neg-in
60×sub-neg
54×pow1/3
53×pow1/2
52×rem-sqrt-square unpow2
50×log-pow
45×pow-pow
44×cube-prod
27×associate-/l/
26×log-prod
20×frac-add sum-log
18×+-commutative associate--l+
17×div-sub
16×diff-log
11×pow-prod-up
10×associate-+r+
pow-flip
neg-sub0 asin-acos neg-mul-1
pow-plus inv-pow
cos-sum rem-cube-cbrt pow-sub unpow3 cube-mult swap-sqr
exp-diff pow-sqr rem-log-exp
pow-neg un-div-inv associate--r-
pow2 cos-diff distribute-rgt-out-- exp-sum
cube-div rem-exp-log associate-+r- sub-div unsub-neg distribute-frac-neg neg-log rem-cbrt-cube distribute-neg-frac exp-to-pow associate--r+
associate-+l+ pow3 exp-neg associate--l- acos-asin mul0

bsearch3.4s (1.3%)

localize2.1s (0.8%)

end1.0ms (0.0%)