Date:Wednesday, February 26th, 2020
Commit:2c6cda94 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020057
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.0m (60.3%)

Algorithm
21×intervals
Results
35.7s39025×body10240exit
7.0s7335×body1280valid
5.3s3362×body2560valid
2.8s57590×body80nan
2.8s56609×body80valid
2.0s4668×body640valid
572.0ms2339×body320valid
201.0ms1232×body160valid
129.0ms8356×pre80true
70.0ms36×body5120valid
21.0ms10×body5120nan
11.0ms16×body2560nan
9.0ms27×body1280nan
3.0ms16×body640nan
2.0ms14×body160nan
2.0ms11×body320nan

series28.6s (28.1%)

Calls

64 calls:

5.0s
(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*))))))
5.0s
(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*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* 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)) (- U U*)))))
1.4s
(* (* (* 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*)))))

prune6.1s (6.0%)

Filtered
1461 candidates to 1023 candidates (70.0%)

simplify2.4s (2.3%)

Algorithm
39×egg-herbie

regimes2.0s (2.0%)

Accuracy

Total 13.1b remaining (6%)

Threshold costs 0.3b (0.1%)

9.2b5.8%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 004
1.6b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012

rewrite763.0ms (0.8%)

Algorithm
21×rewrite-expression-head
Calls

64 calls:

91.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
69.0ms
(* (* (* 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*))))
63.0ms
(* (* (* 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*)))))
60.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
56.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
281×add-sqr-sqrt
248×add-exp-log
247×*-un-lft-identity
215×add-cube-cbrt
156×pow1
134×add-cbrt-cube
120×prod-diff
116×prod-exp
96×associate-*r/
84×distribute-rgt-in distribute-lft-in
83×associate-*r*
70×unpow-prod-down
69×add-log-exp
68×times-frac
66×log1p-expm1-u
65×expm1-log1p-u
51×pow-prod-down
46×flip-- flip3--
45×cbrt-prod
41×cbrt-unprod
40×associate--l+
33×associate-*l*
32×frac-sub pow-exp
25×exp-prod
24×sqrt-div sub-neg
22×sqrt-pow1
21×log-pow
18×div-exp
17×pow-to-exp
16×difference-of-squares distribute-lft-out-- unswap-sqr
15×log-prod
13×sqrt-prod
11×*-commutative
10×sqr-pow
associate-/r*
pow1/3 pow1/2
associate-/l* pow-unpow div-inv
rem-exp-log rem-log-exp
cbrt-undiv
expm1-log1p associate-/l/ expm1-udef acos-asin rem-sqrt-square associate-/r/ clear-num frac-2neg pow-pow
div-sub log1p-udef cosh-def log1p-expm1 exp-to-pow

localize362.0ms (0.4%)

bsearch124.0ms (0.1%)

end0.0ms (0.0%)