Details

simplify2.0m (41.1%)

sample1.9m (38.2%)

Algorithm
21×intervals
Results
1.1m38782×body10240exit
12.2s7471×body1280valid
8.1s57855×body80nan
7.9s56581×body80valid
7.9s3433×body2560valid
3.9s4578×body640valid
1.1s2330×body320valid
367.0ms1184×body160valid
182.0ms8356×pre80true
91.0ms33×body5120valid
73.0ms10×body5120nan
17.0ms20×body2560nan
11.0ms18×body1280nan
5.0ms12×body640nan
4.0ms16×body320nan
2.0ms11×body160nan

series45.8s (15.5%)

Calls

94 calls:

7.7s
(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*)))))
7.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.4s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
6.1s
(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*))))))
2.0s
(* (* (* 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*))))

prune8.9s (3.0%)

rewrite3.0s (1.0%)

Algorithm
32×rewrite-expression-head
Calls

94 calls:

281.0ms
(* (* (* 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*))))
270.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
225.0ms
(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*)))))
209.0ms
(* (* (* 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*)))))
202.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
394×add-sqr-sqrt
338×add-exp-log
311×*-un-lft-identity
267×add-cube-cbrt
262×pow1
202×add-cbrt-cube
167×associate-*r*
145×prod-exp
129×log-prod
106×unpow-prod-down
104×add-log-exp associate-*r/
91×sqrt-prod
86×cbrt-prod log-pow
70×pow-prod-down
68×times-frac
67×associate-*l*
64×distribute-rgt-in distribute-lft-in
62×cbrt-unprod
55×exp-prod
50×flip-- flip3--
45×sqrt-pow1
40×pow-exp
38×unswap-sqr
34×sub-neg
32×frac-sub
27×pow1/2
24×*-commutative sqrt-div pow-to-exp
22×difference-of-squares distribute-lft-out-- sqr-pow
18×div-exp
16×pow-unpow associate--l+
11×rem-log-exp
pow1/3 pow-pow
cube-prod swap-sqr associate-/r*
rem-sqrt-square unpow-prod-up
sum-log div-inv associate-/l*
pow-prod-up
sinh-def
cbrt-undiv pow-sqr acos-asin exp-sum
associate-/l/ associate-+r+ unpow3 cube-mult +-commutative flip3-+ sqrt-pow2 flip-+ associate-/r/ clear-num frac-2neg pow-sub
pow-plus rem-square-sqrt e-exp-1 sqrt-unprod rem-exp-log div-sub pow2 unpow2

regimes2.5s (0.9%)

Accuracy

Total 10.6b remaining (4.8%)

Threshold costs 0.5b (0.2%)

8.0b14.9%Toniolo and Linder, Equation (13)
2.0b0%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

localize863.0ms (0.3%)

bsearch148.0ms (0.1%)

end0.0ms (0.0%)