Details

sample1.0m (58.0%)

Algorithm
21×intervals
Results
36.0s39684×body10240exit
7.0s7391×body1280valid
5.4s3480×body2560valid
2.8s58444×body80nan
2.7s56675×body80valid
2.0s4598×body640valid
559.0ms2263×body320valid
197.0ms1203×body160valid
114.0ms8356×pre80true
44.0ms26×body5120valid
30.0ms14×body5120nan
28.0ms35×body2560nan
9.0ms27×body1280nan
3.0ms17×body640nan
3.0ms16×body320nan
1.0msbody160nan

series31.2s (29.5%)

Calls

88 calls:

4.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* 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*)))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* 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 (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))

prune6.6s (6.3%)

simplify3.5s (3.3%)

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

rewrite941.0ms (0.9%)

Algorithm
29×rewrite-expression-head
Calls

88 calls:

66.0ms
(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*))))))
65.0ms
(* (* 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*)))))
55.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
357×add-sqr-sqrt
295×*-un-lft-identity
255×add-cube-cbrt
231×pow1
208×add-exp-log
168×add-cbrt-cube prod-diff
164×distribute-rgt-in distribute-lft-in
145×associate-*r/
92×sqrt-prod
91×expm1-log1p-u
90×add-log-exp
89×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* rem-log-exp
expm1-udef pow-to-exp pow-prod-up
expm1-log1p distribute-lft-out acos-asin flip-+ log1p-udef sqrt-unprod div-inv log1p-expm1 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

localize422.0ms (0.4%)

bsearch114.0ms (0.1%)

end0.0ms (0.0%)