Date:Tuesday, May 19th, 2020
Commit:6de45b16 on cleanup
Hostname:warfa with Racket 7.5
Seed:2020140
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.3m (64.1%)

Algorithm
21×intervals
Results
46.7s38805×body5120exit
7.5s7402×body1280valid
6.1s3426×body2560valid
4.0s56623×body80valid
3.5s49949×body80nan
2.3s4640×body640valid
2.1s3029×body1280nan
1.0s2576×body640nan
643.0ms2292×body320valid
347.0ms1310×body320nan
232.0ms1184×body160valid
152.0ms8356×pre80true
109.0ms635×body160nan
69.0ms38×body5120valid
43.0ms15×body5120nan
18.0ms26×body2560nan

series32.4s (26.1%)

Calls

86 calls:

9.8s
(sqrt (pow (* (* (* 2.0 n) (- t (- (* 2.0 (* l (/ l Om))) (* (neg (* n (pow (/ l Om) (* 2 (/ 2.0 2))))) (- U U*))))) U) 1))
4.8s
(sqrt (* (* (* 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*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.3s
(* (* (* 2.0 n) (- t (- (* 2.0 (* l (/ l Om))) (* (neg (* n (pow (/ l Om) (* 2 (/ 2.0 2))))) (- U U*))))) U)

prune5.5s (4.5%)

Filtered
1802 candidates to 1141 candidates (63.3%)

simplify2.8s (2.2%)

Algorithm
45×egg-herbie

regimes2.3s (1.8%)

Accuracy

Total 11.9b remaining (5.5%)

Threshold costs 0.5b (0.2%)

10.0b14%Toniolo and Linder, Equation (13)
1.5b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

bsearch719.0ms (0.6%)

localize408.0ms (0.3%)

rewrite407.0ms (0.3%)

Algorithm
27×rewrite-expression-head
Calls

86 calls:

16.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
16.0ms
(* (* (* 2.0 n) (- t (- (* 2.0 (* l (/ l Om))) (* (neg (* n (pow (/ l Om) (* 2 (/ 2.0 2))))) (- U U*))))) U)
15.0ms
(/ (* l l) Om)
14.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
12.0ms
(* (* (* 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*))))
Rules
350×add-sqr-sqrt
283×*-un-lft-identity
280×add-exp-log
233×add-cube-cbrt
230×pow1
173×sqrt-prod
158×add-cbrt-cube
151×unpow-prod-down
115×prod-exp
95×associate-*r*
88×add-log-exp
84×log-prod
70×associate-*r/
64×sqrt-pow1
59×times-frac
51×pow-prod-down
44×pow-unpow
43×cbrt-unprod pow1/2
40×pow-exp
38×flip-- flip3--
37×pow-pow
34×associate-*l*
33×sub-neg exp-sum
27×unpow-prod-up
26×difference-of-squares
25×distribute-lft-out-- pow-to-exp
24×exp-prod frac-sub log-pow
21×unswap-sqr sqr-pow
20×distribute-rgt-in distribute-lft-in
19×rem-sqrt-square
18×sqrt-div
17×div-exp cbrt-prod
14×swap-sqr
13×*-commutative
12×associate--l+ rem-log-exp pow-sub
sqrt-pow2 associate-/r*
pow1/3 pow-prod-up
associate-/l*
pow-sqr div-inv
log-div
cbrt-undiv rem-exp-log
associate-/l/ exp-diff pow-plus associate-*l/ acos-asin asin-acos associate-/r/ clear-num frac-2neg pow2
diff-log distribute-lft-neg-out rem-square-sqrt div-sub e-exp-1 sqrt-unprod associate--r- neg-mul-1 distribute-rgt-neg-in distribute-lft-neg-in

end0.0ms (0.0%)

Profiling

Loading profile data...