Details

sample1.0m (60.0%)

Algorithm
21×intervals
Results
36.4s39684×body10240exit
7.1s7391×body1280valid
5.5s3480×body2560valid
2.8s58444×body80nan
2.8s56675×body80valid
2.0s4598×body640valid
554.0ms2263×body320valid
196.0ms1203×body160valid
132.0ms8356×pre80true
45.0ms26×body5120valid
30.0ms14×body5120nan
30.0ms35×body2560nan
9.0ms27×body1280nan
3.0ms17×body640nan
3.0ms16×body320nan
1.0msbody160nan

series29.5s (28.4%)

Calls

85 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*)))))))
4.7s
(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*))))))

prune5.7s (5.5%)

simplify3.5s (3.3%)

Algorithm
45×egg-herbie

regimes1.6s (1.6%)

Accuracy

Total 12.2b remaining (5.6%)

Threshold costs 2.2b (1%)

10.0b27.1%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

rewrite797.0ms (0.8%)

Algorithm
27×rewrite-expression-head
Calls

85 calls:

59.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))
53.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
53.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
50.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
45.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))
Rules
314×add-sqr-sqrt
230×pow1
228×*-un-lft-identity
225×add-exp-log
188×add-cube-cbrt
173×add-cbrt-cube
145×associate-*r/
113×associate-*r*
98×sqrt-prod
97×add-log-exp
82×prod-exp
73×pow-prod-down
72×associate-*l*
56×flip-- distribute-rgt-in flip3-- distribute-lft-in
50×cbrt-unprod
48×times-frac
46×unpow-prod-down sqrt-pow1
40×sub-neg frac-sub unswap-sqr
39×sqrt-div
32×associate--l+ pow1/2
21×exp-prod log-pow
19×*-commutative
18×log-prod
16×difference-of-squares distribute-lft-out--
14×rem-sqrt-square pow-exp
12×sqr-pow
pow-to-exp
cube-prod swap-sqr div-exp cosh-def associate-/r*
associate-*l/
flip3-+ sum-log flip-+ associate-/l* rem-log-exp
pow-prod-up
sqrt-unprod distribute-lft-out div-inv
cbrt-undiv acos-asin cbrt-prod pow-sqr
associate-/l/ sinh-def associate-+r+ unpow3 cube-mult +-commutative rem-exp-log associate-/r/ clear-num frac-2neg
pow-plus rem-square-sqrt pow1/3 div-sub frac-times pow2

localize405.0ms (0.4%)

bsearch115.0ms (0.1%)

end0.0ms (0.0%)