Date:Saturday, February 29th, 2020
Commit:d0c22b93 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020060
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

sample1.0m (58.7%)

Algorithm
21×intervals
Results
36.4s39684×body10240exit
7.1s7391×body1280valid
5.5s3480×body2560valid
3.0s58444×body80nan
2.9s56675×body80valid
2.0s4598×body640valid
561.0ms2263×body320valid
201.0ms1203×body160valid
125.0ms8356×pre80true
45.0ms26×body5120valid
29.0ms14×body5120nan
22.0ms35×body2560nan
8.0ms27×body1280nan
3.0ms17×body640nan
3.0ms16×body320nan
1.0msbody160nan

series30.6s (28.7%)

Calls

90 calls:

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

prune6.9s (6.5%)

Filtered
1968 candidates to 1329 candidates (67.5%)

simplify3.4s (3.2%)

Algorithm
47×egg-herbie

regimes1.6s (1.5%)

Accuracy

Total 12.3b remaining (5.6%)

Threshold costs 2.2b (1%)

10.1b15.3%Toniolo and Linder, Equation (13)
0.9b0%Random Jason Timeout Test 004
0.8b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 002

rewrite939.0ms (0.9%)

Algorithm
29×rewrite-expression-head
Calls

90 calls:

68.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))
65.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
64.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))
58.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
57.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
359×add-sqr-sqrt
297×*-un-lft-identity
257×add-cube-cbrt
233×pow1
210×add-exp-log
170×add-cbrt-cube
168×prod-diff
164×distribute-rgt-in distribute-lft-in
145×associate-*r/
94×expm1-log1p-u
92×sqrt-prod add-log-exp
91×log1p-expm1-u
80×associate--l+
75×associate-*r*
73×pow-prod-down
70×prod-exp
60×associate-*l*
56×flip-- flip3--
48×times-frac
46×cbrt-unprod
44×sqrt-pow1
40×sub-neg frac-sub
39×sqrt-div
30×unpow-prod-down pow1/2
26×unswap-sqr
21×exp-prod log-pow
18×log-prod
16×difference-of-squares distribute-lft-out--
15×*-commutative
12×rem-sqrt-square
10×pow-exp
swap-sqr div-exp cosh-def associate-/r*
associate-*l/
associate-/l* expm1-udef rem-log-exp
expm1-log1p pow-to-exp log1p-udef pow-prod-up log1p-expm1
distribute-lft-out acos-asin flip-+ sqrt-unprod div-inv sqr-pow flip3-+ sinh-def
cbrt-undiv cbrt-prod pow-sqr
rem-exp-log fma-udef associate-/r/ associate-/l/ clear-num frac-2neg
pow-plus rem-square-sqrt div-sub hypot-def pow1/3 frac-times sin-diff pow2

localize432.0ms (0.4%)

bsearch116.0ms (0.1%)

end0.0ms (0.0%)