Date:Tuesday, March 31st, 2020
Commit:2cac45bc on simpler-alts
Hostname:warfa with Racket 7.5
Seed:2020091
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 (57.9%)

Algorithm
21×intervals
Results
37.3s38401×body10240exit
7.1s7439×body1280valid
5.5s3445×body2560valid
3.2s56483×body80valid
2.5s49467×body80nan
2.1s4667×body640valid
1.6s3062×body1280nan
717.0ms2547×body640nan
579.0ms2312×body320valid
216.0ms1255×body320nan
201.0ms1174×body160valid
114.0ms8356×pre80true
81.0ms688×body160nan
74.0ms31×body5120valid
24.0ms11×body5120nan
13.0ms21×body2560nan

series35.0s (30.7%)

Calls

106 calls:

10.0s
(sqrt (pow (* (* (* 2.0 n) (- t (- (* 2.0 (/ l (/ Om l))) (* (- (* n (pow (/ l Om) (* 2 (/ 2.0 2))))) (- U U*))))) U) 1))
4.9s
(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*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* 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)) (- U U*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune6.5s (5.7%)

Filtered
2239 candidates to 1405 candidates (62.8%)

simplify3.4s (3.0%)

Algorithm
51×egg-herbie

regimes2.0s (1.8%)

Accuracy

Total 10.6b remaining (4.9%)

Threshold costs 0.5b (0.2%)

8.3b27.2%Toniolo and Linder, Equation (13)
1.9b0%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

rewrite520.0ms (0.5%)

Algorithm
33×rewrite-expression-head
Calls

106 calls:

17.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
15.0ms
(* (* (* 2.0 n) (- t (- (* 2.0 (/ l (/ Om l))) (* (- (* n (pow (/ l Om) (* 2 (/ 2.0 2))))) (- U U*))))) U)
13.0ms
(* (* (* 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*))))
13.0ms
(* n (pow (/ l Om) 2.0))
13.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
488×add-sqr-sqrt
347×add-exp-log
333×*-un-lft-identity
289×add-cube-cbrt
240×pow1
218×sqrt-prod
200×add-cbrt-cube
186×unpow-prod-down
180×associate-*r*
142×prod-exp
128×add-log-exp
82×associate-*l*
78×log-prod
73×unswap-sqr
70×associate-*r/
58×cube-prod times-frac
52×cbrt-unprod
51×pow-prod-down
50×sqrt-pow1
49×pow-exp
42×sqr-pow
40×cbrt-prod
39×flip-- flip3--
35×pow-to-exp pow1/2
32×pow-unpow
30×sub-neg
24×frac-sub pow-pow
22×*-commutative difference-of-squares distribute-lft-out-- log-pow
20×distribute-rgt-in distribute-lft-in
18×sqrt-div
17×rem-sqrt-square div-exp rem-log-exp
16×unpow-prod-up exp-prod
14×swap-sqr
12×associate--l+
11×unpow3 cube-mult
10×sum-log
pow1/3 pow-prod-up pow-sub associate-/r*
+-commutative flip3-+ flip-+ associate-/l*
pow-sqr sqrt-pow2 log-div div-inv
rem-cube-cbrt acos-asin
cbrt-undiv pow-plus exp-sum
diff-log associate-/l/ sinh-def associate-+r+ associate-*l/ associate-/r/ rem-cbrt-cube clear-num frac-2neg pow2
exp-diff rem-square-sqrt distribute-lft-neg-out rem-exp-log sqrt-unprod neg-mul-1 distribute-rgt-neg-in div-sub distribute-lft-neg-in

localize482.0ms (0.4%)

bsearch5.0ms (0.0%)

end0.0ms (0.0%)