Date:Monday, March 2nd, 2020
Commit:76ce2b17 on master
Hostname:warfa with Racket 7.5
Seed:2020062
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.1m (59.5%)

Algorithm
21×intervals
Results
37.6s38512×body10240exit
7.1s7385×body1280valid
5.6s3532×body2560valid
3.2s56613×body80valid
2.5s50639×body80nan
2.1s4681×body640valid
1.6s3079×body1280nan
740.0ms2615×body640nan
573.0ms2260×body320valid
224.0ms1296×body320nan
205.0ms1145×body160valid
129.0ms8356×pre80true
82.0ms694×body160nan
50.0ms30×body5120valid
27.0ms13×body5120nan
22.0ms28×body2560nan

series29.5s (26.5%)

Calls

88 calls:

4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(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 (* (* (* 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)) (- U U*))))

prune9.1s (8.2%)

simplify3.4s (3.1%)

Algorithm
47×egg-herbie

regimes1.8s (1.6%)

Accuracy

Total 10.0b remaining (4.5%)

Threshold costs 0.5b (0.2%)

8.0b9.2%Toniolo and Linder, Equation (13)
1.6b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

rewrite600.0ms (0.5%)

Algorithm
29×rewrite-expression-head
Calls

88 calls:

46.0ms
(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*)))))))
21.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
15.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
14.0ms
(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*)))))
14.0ms
(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*))))))
Rules
1622×associate-*r/
900×cbrt-div
785×flip-- flip3--
624×frac-sub
540×frac-times
467×add-sqr-sqrt
405×*-un-lft-identity
360×sqrt-div
351×add-cube-cbrt
260×add-exp-log
226×pow1
198×prod-diff
152×unpow-prod-down
140×add-cbrt-cube
132×unpow-prod-up
102×prod-exp
100×sqrt-prod
93×associate-*r*
90×log1p-expm1-u cbrt-prod associate-*l/
89×add-log-exp expm1-log1p-u
65×times-frac
63×distribute-rgt-in pow-unpow distribute-lft-in sqrt-pow1
47×pow-prod-down
45×pow-pow
41×pow-exp
39×associate-*l*
36×exp-prod
33×cbrt-unprod
32×pow1/2
30×sub-neg associate--l+
28×unswap-sqr
27×difference-of-squares distribute-lft-out-- pow-to-exp log-pow
24×log-prod
23×pow1/3
22×sqr-pow
15×div-exp
12×sqrt-pow2 rem-sqrt-square pow-sub
11×*-commutative
pow-prod-up
cube-prod
rem-log-exp
pow-plus
associate-/l* expm1-udef div-inv associate-/r*
expm1-log1p acos-asin
pow-sqr exp-sum pow3
associate-/l/ cube-mult unpow3 rem-exp-log associate-/r/ pow2 sinh-def
cbrt-undiv exp-diff div-sub rem-cube-cbrt log1p-udef log-div clear-num frac-2neg log1p-expm1 sin-diff

localize420.0ms (0.4%)

bsearch249.0ms (0.2%)

end0.0ms (0.0%)