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: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

sample1.1m (59.3%)

Algorithm
21×intervals
Results
37.8s38988×body10240exit
6.8s7261×body1280valid
5.4s3424×body2560valid
3.2s56589×body80valid
2.5s50395×body80nan
2.0s4616×body640valid
1.5s2937×body1280nan
702.0ms2526×body640nan
603.0ms2342×body320valid
230.0ms1315×body320nan
221.0ms1239×body160valid
123.0ms8356×pre80true
76.0ms654×body160nan
57.0ms32×body5120valid
19.0msbody5120nan
15.0ms26×body2560nan

series30.4s (27.2%)

Calls

101 calls:

10.0s
(sqrt (* (cbrt (* (* 2.0 n) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
9.5s
(sqrt (* (cbrt (cbrt (* (* 2.0 n) U))) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(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*))))
363.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))

prune7.6s (6.8%)

Filtered
2359 candidates to 1590 candidates (32.6%)

simplify3.7s (3.3%)

Algorithm
49×egg-herbie

regimes2.2s (1.9%)

Accuracy

Total 13.7b remaining (6.3%)

Threshold costs 0.5b (0.2%)

12.0b10%Toniolo and Linder, Equation (13)
1.2b0%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

rewrite821.0ms (0.7%)

Algorithm
31×rewrite-expression-head
Calls

101 calls:

92.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
87.0ms
(sqrt (* (cbrt (cbrt (* (* 2.0 n) U))) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
84.0ms
(sqrt (* (cbrt (* (* 2.0 n) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
82.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
22.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
Rules
773×add-sqr-sqrt
505×*-un-lft-identity
443×associate-*l*
355×add-cube-cbrt
333×sqrt-prod
315×cbrt-prod
241×associate-*r*
225×pow1
183×unswap-sqr
171×add-exp-log
142×unpow-prod-down
133×add-cbrt-cube
110×pow-unpow
104×add-log-exp
96×times-frac
86×distribute-lft-out--
85×sqrt-pow1
52×pow1/2
51×log-prod
50×difference-of-squares
46×log-pow
44×*-commutative associate-*r/ pow-pow
35×swap-sqr
32×unpow-prod-up
28×sqr-pow pow-prod-down
27×prod-exp
26×rem-sqrt-square
24×flip-- exp-prod flip3-- sub-neg
20×pow-exp associate-/l*
18×sqrt-div pow-to-exp
16×distribute-rgt-in distribute-lft-in frac-sub
15×pow1/3 cbrt-unprod
14×pow-prod-up
13×rem-log-exp
exp-sum
sinh-def pow-sqr sqrt-pow2 pow-sub associate-/r*
rem-exp-log
div-exp
unpow3 rem-cbrt-cube div-inv associate--l+ log-div
cbrt-undiv
associate-/l/ exp-diff rem-cube-cbrt pow-plus rem-square-sqrt acos-asin sqrt-unprod associate-/r/ clear-num frac-2neg pow2
div-sub

localize454.0ms (0.4%)

bsearch378.0ms (0.3%)

end0.0ms (0.0%)