Date:Thursday, April 23rd, 2020
Commit:38368d1c on better-rr
Hostname:warfa with Racket 7.5
Seed:2020114
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.1m (55.4%)

Algorithm
21×intervals
Results
37.7s38988×body10240exit
6.8s7261×body1280valid
5.4s3424×body2560valid
3.2s56589×body80valid
2.6s50395×body80nan
2.0s4616×body640valid
1.5s2937×body1280nan
703.0ms2526×body640nan
589.0ms2342×body320valid
223.0ms1239×body160valid
220.0ms1315×body320nan
119.0ms8356×pre80true
74.0ms654×body160nan
59.0ms32×body5120valid
19.0msbody5120nan
18.0ms26×body2560nan

series30.6s (25.7%)

Calls

101 calls:

9.9s
(sqrt (* (cbrt (* (* 2.0 n) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
9.4s
(sqrt (* (cbrt (cbrt (* (* 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 l) Om))) (* (* 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)) (- U U*))))
372.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))

prune13.3s (11.2%)

Filtered
4188 candidates to 2567 candidates (38.7%)

simplify4.3s (3.6%)

Algorithm
49×egg-herbie

regimes2.3s (1.9%)

Accuracy

Total 13.5b remaining (6.2%)

Threshold costs 0.4b (0.2%)

12.0b10.1%Toniolo and Linder, Equation (13)
1.2b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 015

rewrite1.8s (1.5%)

Algorithm
31×rewrite-expression-head
Calls

101 calls:

286.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
279.0ms
(sqrt (* (cbrt (cbrt (* (* 2.0 n) U))) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
277.0ms
(sqrt (* (cbrt (* (* 2.0 n) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
148.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
29.0ms
(sin (* (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a)))) (pow (atan2 b b) (* 1/4 (- b a)))))
Rules
4520×add-sqr-sqrt
1730×*-un-lft-identity
1614×prod-diff
1377×associate-*l*
1180×add-cube-cbrt
1175×unswap-sqr
1123×associate-*r*
1100×times-frac
787×distribute-rgt-in distribute-lft-in
690×difference-of-squares
550×unpow-prod-down
382×associate--l+
333×sqrt-prod
331×cbrt-prod
286×distribute-lft-out--
223×pow1
211×*-commutative
189×swap-sqr
176×unpow-prod-up
169×add-exp-log
133×add-cbrt-cube
110×pow-unpow
105×add-log-exp
102×log1p-expm1-u
101×expm1-log1p-u
100×sqr-pow
85×sqrt-pow1
54×log-pow
52×pow1/2
45×exp-prod
44×associate-*r/ pow-pow
42×log-prod
34×div-inv
28×pow-prod-down
27×prod-exp
26×rem-sqrt-square
24×flip-- flip3-- sub-neg
20×pow-exp associate-/l*
18×sqrt-div pow-to-exp
16×frac-sub
15×pow1/3 cbrt-unprod
14×pow-prod-up
exp-sum
sinh-def pow-sqr sqrt-pow2 pow-sub rem-log-exp associate-/r*
rem-exp-log
div-exp
unpow3 rem-cbrt-cube
cbrt-undiv log-div
associate-/l/ exp-diff rem-cube-cbrt pow-plus rem-square-sqrt acos-asin sqrt-unprod associate-/r/ clear-num frac-2neg expm1-udef pow2
expm1-log1p div-sub exp-to-pow sin-diff

localize468.0ms (0.4%)

bsearch415.0ms (0.3%)

end0.0ms (0.0%)