Date:Wednesday, April 22nd, 2020
Commit:1c116713 on better-rr
Hostname:warfa with Racket 7.5
Seed:2020113
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

series8.2m (65.8%)

Calls

97 calls:

7.0m
(sin (* (pow (sqrt (sqrt 1)) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
20.9s
(sqrt (* (* (cbrt n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
18.1s
(sqrt (* (cbrt (* (cbrt n) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
17.7s
(sqrt (* (cbrt (* (cbrt (cbrt 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*)))))

end2.9m (23.4%)

sample1.1m (8.8%)

Algorithm
21×intervals
Results
37.4s38371×body10240exit
6.9s7294×body1280valid
5.4s3359×body2560valid
3.3s56557×body80valid
2.4s50053×body80nan
2.1s4699×body640valid
1.6s2997×body1280nan
732.0ms2573×body640nan
602.0ms2389×body320valid
231.0ms1292×body320nan
224.0ms1267×body160valid
126.0ms8356×pre80true
76.0ms641×body160nan
36.0ms21×body5120valid
35.0ms16×body5120nan
20.0ms27×body2560nan

prune8.3s (1.1%)

Filtered
2654 candidates to 1691 candidates (63.7%)

simplify3.2s (0.4%)

Algorithm
49×egg-herbie

regimes2.0s (0.3%)

Accuracy

Total 8.7b remaining (4.1%)

Threshold costs 0.5b (0.2%)

6.4b29.3%Toniolo and Linder, Equation (13)
1.8b0%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 002

rewrite1.0s (0.1%)

Algorithm
31×rewrite-expression-head
Calls

97 calls:

88.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
81.0ms
(sqrt (* (cbrt (* (cbrt n) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
79.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
79.0ms
(sqrt (* (* (cbrt n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
77.0ms
(sqrt (* (cbrt (* (cbrt (cbrt n)) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
1053×add-sqr-sqrt
750×*-un-lft-identity
481×associate-*l*
460×add-cube-cbrt
385×sqrt-prod
362×associate-*r*
328×unpow-prod-down
275×times-frac
270×unswap-sqr
263×add-exp-log
261×pow1
173×add-cbrt-cube
138×distribute-lft-out--
126×pow-unpow
110×add-log-exp
104×cbrt-prod pow-pow
94×swap-sqr
93×sqrt-pow1
87×prod-exp
76×pow-prod-down
70×associate-*r/
68×difference-of-squares sqr-pow
65×associate-/l*
54×pow1/2
50×pow-prod-up
46×*-commutative
36×flip-- flip3-- pow-exp
35×cbrt-unprod
32×unpow-prod-up sub-neg
30×pow-sqr pow-to-exp
29×rem-sqrt-square
25×exp-prod
24×sqrt-pow2 sqrt-div frac-sub
23×log-pow
21×log-prod
20×distribute-lft-out
17×associate-/r*
16×distribute-rgt-in distribute-lft-in
15×div-exp
12×pow-sub
11×div-inv
10×rem-log-exp
cbrt-undiv
associate--l+
unpow3 sum-log
clear-num frac-2neg
sinh-def associate-+r+ +-commutative rem-exp-log rem-cbrt-cube
pow1/3 exp-sum
rem-cube-cbrt associate-*l/ pow-plus acos-asin flip-+ flip3-+ associate-/r/ associate-/l/ frac-times pow2
div-sub

localize493.0ms (0.1%)

bsearch295.0ms (0.0%)