Details

sample1.0m (58.3%)

Algorithm
21×intervals
Results
35.2s39342×body10240exit
6.7s7273×body1280valid
5.4s3492×body2560valid
2.7s59244×body80nan
2.7s56675×body80valid
2.0s4629×body640valid
554.0ms2338×body320valid
192.0ms1167×body160valid
94.0ms8356×pre80true
84.0ms49×body5120valid
23.0ms11×body5120nan
12.0ms20×body2560nan
7.0ms28×body1280nan
2.0ms10×body640nan
1.0ms12×body160nan
1.0msbody320nan

series29.3s (27.7%)

Calls

104 calls:

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

prune7.5s (7.1%)

simplify3.0s (2.8%)

rewrite2.0s (1.9%)

Algorithm
31×rewrite-expression-head
Calls

104 calls:

285.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*)))))
190.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- U U*))))))
121.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
121.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
120.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
506×add-sqr-sqrt
326×add-exp-log
323×*-un-lft-identity
318×unpow-prod-down
314×associate-*r/
279×add-cube-cbrt
235×pow1
228×cbrt-div
226×sqrt-prod
205×flip-- flip3--
198×add-cbrt-cube
185×associate-*r*
140×add-log-exp
129×prod-exp
128×frac-sub
118×frac-times
90×unswap-sqr
72×sqrt-div
71×associate-*l*
67×sqr-pow
60×associate-*l/
59×times-frac
56×pow-prod-down
55×cbrt-unprod
50×pow-exp
49×log-prod
48×sub-neg unpow-prod-up
47×pow-unpow
46×swap-sqr
42×sqrt-pow1
41×pow-to-exp
39×exp-prod
32×cube-prod
31×pow-pow
30×distribute-rgt-in distribute-lft-in
28×cbrt-prod
26×log-pow
22×pow1/2
21×*-commutative difference-of-squares
20×distribute-lft-out--
16×sum-log associate--l+
14×sin-sum
12×rem-log-exp pow-sub
11×div-exp
unpow3 cube-mult +-commutative flip3-+ flip-+ rem-sqrt-square associate-/r*
sqrt-pow2 associate-/l*
rem-exp-log div-inv
cbrt-undiv exp-sum
diff-log distribute-lft-out sinh-def associate-+r+ associate-+l+ rem-cube-cbrt acos-asin asin-acos associate-/r/ associate-/l/ pow-prod-up clear-num frac-2neg pow-sqr pow2
e-exp-1 associate--r- div-sub

regimes1.6s (1.5%)

Accuracy

Total 9.4b remaining (4.4%)

Threshold costs 0.2b (0.1%)

7.4b24.8%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
0.2b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

localize455.0ms (0.4%)

bsearch226.0ms (0.2%)

end0.0ms (0.0%)