Details

series18.0m (74.1%)

Calls

97 calls:

8.7m
(sin (* (pow (sqrt (sqrt 1)) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
8.5m
(sin (* (pow (sqrt 1) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
7.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (* (cbrt n) (cbrt n)) (* (cbrt n) (pow (/ l Om) (/ 2.0 2)))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))

end2.2m (9.1%)

simplify1.9m (7.9%)

sample1.8m (7.5%)

Algorithm
21×intervals
Results
1.1m38153×body10240exit
12.1s7299×body1280valid
9.0s3371×body2560valid
6.3s56515×body80valid
5.6s57804×body80nan
4.0s4736×body640valid
1.2s2340×body320valid
372.0ms1216×body160valid
193.0ms8356×pre80true
73.0ms26×body5120valid
30.0ms10×body5120nan
16.0ms32×body1280nan
13.0ms19×body2560nan
5.0ms15×body640nan
3.0ms13×body160nan
3.0msbody320nan

prune11.0s (0.8%)

rewrite4.7s (0.3%)

Algorithm
31×rewrite-expression-head
Calls

97 calls:

923.0ms
(* (* (* (* (cbrt n) (cbrt n)) (* (cbrt n) (pow (/ l Om) (/ 2.0 2)))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
557.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (* (cbrt n) (cbrt n)) (* (cbrt n) (pow (/ l Om) (/ 2.0 2)))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
400.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* (* (cbrt n) (cbrt n)) (* (cbrt n) (pow (/ l Om) (/ 2.0 2)))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
323.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
256.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
557×add-exp-log
526×add-sqr-sqrt
335×*-un-lft-identity
329×unpow-prod-down
324×prod-exp
287×add-cube-cbrt
262×sqrt-prod
235×pow1
199×add-cbrt-cube
177×cbrt-prod
154×associate-*r*
107×add-log-exp
96×associate-*r/
95×pow-exp
92×unswap-sqr
81×associate-*l*
67×cbrt-unprod
63×pow-to-exp
62×sqr-pow
57×pow-prod-down
55×sub-neg
54×flip-- flip3--
52×swap-sqr
48×pow-unpow times-frac
47×sqrt-pow1
42×unpow-prod-up
38×pow-pow
36×frac-sub
35×div-exp
34×distribute-rgt-in distribute-lft-in
27×pow1/2
26×sqrt-div
24×difference-of-squares distribute-lft-out--
23×cube-prod
20×log-pow
19×*-commutative pow1/3
18×associate--l+ log-prod
14×exp-prod
13×pow-sub
10×rem-sqrt-square cosh-def
associate-/r*
unpow3 cube-mult sqrt-pow2 exp-sum
associate-/l* acos-asin cbrt-div
diff-log pow-prod-up cube-div
pow-sqr associate--r+ div-inv rem-log-exp
cbrt-undiv pow2
associate-/l/ sinh-def pow-plus associate-*l/ rem-cube-cbrt rem-exp-log associate-/r/ clear-num frac-2neg frac-times
exp-diff log-div div-sub associate--l- exp-to-pow rem-cbrt-cube unpow2

regimes2.7s (0.2%)

Accuracy

Total 13.2b remaining (6%)

Threshold costs 2.5b (1.1%)

8.3b20.5%Toniolo and Linder, Equation (13)
2.4b0%Random Jason Timeout Test 006
0.8b0%Random Jason Timeout Test 004
0.7b0%Random Jason Timeout Test 002
0.7b0%Random Jason Timeout Test 014

localize823.0ms (0.1%)

bsearch200.0ms (0.0%)