Date:Wednesday, April 1st, 2020
Commit:71d48594 on master
Hostname:warfa with Racket 7.5
Seed:2020092
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 (62.7%)

Algorithm
21×intervals
Results
37.2s38810×body10240exit
6.8s7268×body1280valid
5.4s3397×body2560valid
3.2s56645×body80valid
2.4s51085×body80nan
2.0s4647×body640valid
1.5s2961×body1280nan
733.0ms2577×body640nan
600.0ms2415×body320valid
229.0ms1336×body320nan
215.0ms1205×body160valid
121.0ms8356×pre80true
82.0ms705×body160nan
38.0ms22×body5120valid
12.0ms21×body2560nan
8.0msbody5120nan

series27.9s (26.7%)

Calls

85 calls:

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*)))))
4.6s
(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)) (- U U*)))))
4.5s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.3s
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune5.2s (5.0%)

Filtered
2084 candidates to 1193 candidates (57.2%)

simplify3.0s (2.9%)

Algorithm
45×egg-herbie

regimes1.8s (1.7%)

Accuracy

Total 11.8b remaining (5.4%)

Threshold costs 0.5b (0.2%)

9.8b20.6%Toniolo and Linder, Equation (13)
1.5b0%Random Jason Timeout Test 006
0.5b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

rewrite454.0ms (0.4%)

Algorithm
27×rewrite-expression-head
Calls

85 calls:

18.0ms
(* (* (* 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*))))
17.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
16.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
14.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
12.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
458×add-sqr-sqrt
421×unpow-prod-down
337×sqrt-prod
320×add-exp-log *-un-lft-identity
280×add-cube-cbrt
227×pow1
168×add-cbrt-cube
157×cbrt-prod
141×prod-exp
111×associate-*r*
102×associate-*r/
85×add-log-exp
83×unpow-prod-up
76×cube-prod
71×sqrt-pow1
68×sub-neg
63×pow-exp
62×unswap-sqr
60×distribute-rgt-in distribute-lft-in
58×sqr-pow pow-prod-down times-frac
54×pow-unpow
47×cbrt-unprod associate-*l*
46×flip-- flip3-- swap-sqr
42×pow-to-exp
41×pow-pow
39×log-prod
33×log-pow
32×frac-sub pow1/2
24×sqrt-div
20×difference-of-squares distribute-lft-out-- associate--l+
18×div-exp
16×exp-prod
13×*-commutative
12×pow-sub
11×pow1/3
10×rem-sqrt-square
sqrt-pow2 associate-/r*
rem-log-exp
cube-mult unpow3 associate-/l*
div-inv
cbrt-undiv rem-cube-cbrt exp-sum
associate-/l/ pow-sqr associate-*l/ e-exp-1 acos-asin associate-/r/ rem-cbrt-cube pow-prod-up clear-num frac-2neg frac-times pow2 sinh-def
div-sub rem-exp-log

localize360.0ms (0.3%)

bsearch209.0ms (0.2%)

end0.0ms (0.0%)