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:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.1m (60.2%)

Algorithm
21×intervals
Results
37.7s38512×body10240exit
7.1s7385×body1280valid
5.7s3532×body2560valid
3.2s56613×body80valid
2.5s50639×body80nan
2.1s4681×body640valid
1.7s3079×body1280nan
777.0ms2615×body640nan
570.0ms2260×body320valid
249.0ms1296×body320nan
204.0ms1145×body160valid
125.0ms8356×pre80true
87.0ms694×body160nan
54.0ms30×body5120valid
28.0ms13×body5120nan
22.0ms28×body2560nan

series29.3s (26.4%)

Calls

93 calls:

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*))))))
4.7s
(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*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- 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*))))

prune8.2s (7.4%)

simplify3.3s (3.0%)

Algorithm
47×egg-herbie

regimes2.0s (1.8%)

Accuracy

Total 10.0b remaining (4.5%)

Threshold costs 0.5b (0.2%)

7.9b9.2%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 003
0.0b0%Random Jason Timeout Test 004

rewrite584.0ms (0.5%)

Algorithm
29×rewrite-expression-head
Calls

93 calls:

43.0ms
(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*)))))))
17.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
13.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
13.0ms
(* (* (* 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*))))
13.0ms
(* (* (* 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
399×add-sqr-sqrt
360×sqrt-div
311×*-un-lft-identity
286×add-exp-log
261×add-cube-cbrt
238×pow1
188×unpow-prod-down
158×cbrt-prod
154×add-cbrt-cube
131×associate-*r*
114×prod-exp
100×sqrt-prod
99×add-log-exp
90×associate-*l/
79×exp-prod
65×times-frac
63×sqrt-pow1
57×pow-unpow
51×associate-*l*
47×pow-prod-down
45×cube-prod pow-exp
42×unswap-sqr
41×pow-pow
37×cbrt-unprod
34×log-pow
33×sqr-pow
32×pow1/2
31×pow-to-exp
30×sub-neg
27×log-prod
25×difference-of-squares distribute-lft-out--
24×unpow-prod-up
23×pow1/3
20×distribute-rgt-in distribute-lft-in
15×*-commutative div-exp
14×rem-sqrt-square
12×associate--l+
10×sqrt-pow2 pow-sub
pow-prod-up
unpow3 cube-mult rem-log-exp
pow-plus
associate-/l* div-inv associate-/r*
acos-asin
pow-sqr rem-exp-log exp-sum pow3
associate-/l/ sinh-def +-commutative flip3-+ rem-cube-cbrt sum-log flip-+ associate-/r/ pow2
cbrt-undiv exp-diff log-div clear-num frac-2neg div-sub

localize439.0ms (0.4%)

bsearch240.0ms (0.2%)

end0.0ms (0.0%)