Date:Monday, June 1st, 2020
Commit:29dc5705 on web-tweaks
Hostname:warfa with Racket 7.5
Seed:2020153
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.7min (41.9%)

Algorithm
60×intervals
Results
19.9s240508×body80valid
19.0s30906×body1280valid
13.0s151604×body80nan
9.7s8835×body2560valid
9.4s21624×body640valid
6.1s3355×body5120valid
3.0s10237×body320valid
1.7s9093×body160valid
825.0ms1629×body1280nan
592.0ms2899×body80overflowed
557.0ms1476×body640nan
424.0ms656×body5120exit
206.0ms791×body320nan
153.0ms8256×pre80true
62.0ms398×body160nan

simplify42.4s (17.1%)

Algorithm
170×egg-herbie

prune39.0s (15.7%)

Filtered
18650 candidates to 9627 candidates (48.4%)

series27.3s (11.0%)

Calls

420 calls:

2.0s
(sqrt (* (* (* (* 2.0 n) U) (* (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (* (* (cbrt (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) (cbrt (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* (* 2.0 n) U) (* (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
368.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes16.4s (6.6%)

Accuracy

Total 33.8b remaining (17%)

Threshold costs 4.5b (2.2%)

7.2b40.1%Toniolo and Linder, Equation (10-)
5.3b77.5%Toniolo and Linder, Equation (7)
4.8b0%Henrywood and Agarwal, Equation (12)
3.2b0%Toniolo and Linder, Equation (10+)
2.3b0%Henrywood and Agarwal, Equation (13)

rewrite16.1s (6.5%)

Algorithm
111×rewrite-expression-head
Calls

420 calls:

1.1s
(sqrt (* (* (* (* 2.0 n) U) (* (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (* (* (cbrt (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) (cbrt (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (cbrt (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))))
212.0ms
(/ (cbrt (- 1.0 (* 5.0 (* v v)))) (pow (cbrt (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) 3))
84.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
78.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
57.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
Rules
116493×cbrt-div
71044×associate-*r/
61061×flip-- flip3--
56224×frac-times
48661×frac-sub
28297×add-exp-log
19179×prod-exp
17592×sqrt-div
7596×pow-exp
7107×div-exp
7009×associate-*l/
4743×times-frac
4495×add-sqr-sqrt
3902×*-un-lft-identity
3436×add-cube-cbrt
3028×pow-to-exp
2913×add-cbrt-cube
2092×sqrt-prod
1356×cbrt-unprod
1261×pow1
1209×associate-*l*
1110×unpow-prod-down
1020×associate-*r*
623×cbrt-prod
542×cbrt-undiv
524×1-exp
518×rec-exp
504×add-log-exp
466×pow-prod-down
372×associate-/r*
337×unswap-sqr
334×sqr-pow
323×associate-/l*
300×pow-unpow
263×div-inv
201×associate-/r/
182×flip-+ flip3-+
157×cube-prod
148×*-commutative
141×difference-of-squares
132×distribute-lft-out distribute-lft-out--
124×sqrt-pow1
116×tan-quot
113×distribute-rgt-neg-in
101×distribute-lft-neg-in
86×clear-num frac-2neg
70×distribute-rgt-in distribute-lft-in
69×exp-prod
64×pow1/2
62×pow1/3
57×sub-neg
55×unpow2
50×rem-sqrt-square pow-pow
42×associate-/l/
39×log-prod
33×exp-sum
28×sum-log cube-mult unpow3
24×+-commutative swap-sqr
23×associate--l+
21×pow-prod-up
16×frac-add
15×diff-log
14×div-sub
13×cube-div
12×neg-sub0 associate-+r+ pow-sub
11×neg-mul-1 pow-sqr
10×pow-neg
pow-plus
rem-cube-cbrt
log-pow
pow2 log-div
acos-asin cos-sum inv-pow rem-cbrt-cube pow-flip exp-diff
rem-exp-log
rem-log-exp cos-diff associate-+r- rem-square-sqrt sqrt-unprod distribute-frac-neg asin-acos un-div-inv distribute-neg-frac associate--r+
exp-neg associate-+l+ sqrt-undiv sub-div mul0 unsub-neg pow3

localize2.2s (0.9%)

bsearch721.0ms (0.3%)

end1.0ms (0.0%)

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