Date:Wednesday, May 27th, 2020
Commit:37fb213b on clean-debug-log
Hostname:warfa with Racket 7.5
Seed:2020148
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

prune6.6m (61.9%)

Filtered
29641 candidates to 17255 candidates (41.8%)

series1.9m (17.4%)

Calls

436 calls:

5.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
5.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
5.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* 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*)))))
1.7s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))

sample1.4m (13.4%)

Algorithm
59×intervals
Results
18.2s242114×body80valid
13.9s23962×body1280valid
13.4s167133×body80nan
6.8s17843×body640valid
4.8s6507×body2560valid
2.4s9017×body320valid
1.5s2462×body5120valid
1.5s8571×body160valid
765.0ms1568×body1280nan
554.0ms1548×body640nan
346.0ms560×body5120exit
343.0ms2653×body80overflowed
187.0ms768×body320nan
127.0ms8256×pre80true
64.0ms415×body160nan

regimes18.9s (3.0%)

Accuracy

Total 38.4b remaining (21.1%)

Threshold costs 3.7b (2.1%)

7.5b16.5%Toniolo and Linder, Equation (13)
6.4b49.3%Henrywood and Agarwal, Equation (3)
5.7b76.1%Toniolo and Linder, Equation (7)
4.7b18.7%Henrywood and Agarwal, Equation (12)
3.7b52.3%Toniolo and Linder, Equation (10+)

simplify15.2s (2.4%)

Algorithm
171×egg-herbie

rewrite8.8s (1.4%)

Algorithm
113×rewrite-expression-head
Calls

436 calls:

992.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)))
129.0ms
(/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))
93.0ms
(/ (+ (* (neg (* (+ (+ (pow 1.0 6) (pow 0.5 6)) (* (pow 1.0 3) (pow 0.5 3))) 0.5)) (+ (pow 1.0 6) (pow (* 0.5 (+ 0.5 1.0)) 3))) (* (+ (* (* 1.0 1.0) (- (* 1.0 1.0) (* 0.5 (+ 0.5 1.0)))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)))) (* (+ (* (* 1.0 1.0) (- (* 1.0 1.0) (* 0.5 (+ 0.5 1.0)))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (+ (pow 1.0 6) (pow 0.5 6)) (* (pow 1.0 3) (pow 0.5 3)))))
72.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
70.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
Rules
36569×add-exp-log
33479×times-frac
23959×prod-exp
16218×add-sqr-sqrt
15374×*-un-lft-identity
14739×add-cube-cbrt
14337×pow-exp
13962×div-exp
9026×unpow-prod-down
6987×pow-to-exp
4520×associate-*r*
4304×cbrt-prod
3185×associate-*r/
2528×add-cbrt-cube
2338×associate-*l/
2285×1-exp
1992×sqrt-prod
1802×frac-add
1762×frac-times
1693×rec-exp
1692×sqr-pow
1586×flip-+ flip3-+
1262×pow1
1133×associate-*l*
1014×cbrt-unprod
961×flip3-- flip--
745×unpow2
676×distribute-neg-frac
673×associate-/l*
575×div-inv
558×add-log-exp
488×associate-/l/
487×associate-/r*
484×unswap-sqr
435×cbrt-undiv
417×pow-prod-down
319×pow-unpow
285×sqrt-div
249×associate-/r/
230×distribute-lft-out
163×*-commutative
140×distribute-lft-out--
138×difference-of-squares
104×distribute-rgt-in distribute-lft-in
93×distribute-rgt-neg-in sqrt-pow1
87×clear-num frac-2neg
84×tan-quot
77×cube-prod
75×sub-neg
70×pow1/2
69×distribute-lft-neg-in
61×rem-sqrt-square
55×sum-log
52×pow-pow
44×frac-sub
43×cbrt-div
35×+-commutative
31×pow1/3
29×log-div
27×exp-diff div-sub log-prod
24×associate-+r+
22×associate--l+
18×exp-prod
17×pow-sub pow-prod-up
16×log-pow
14×pow-sqr unpow3 cube-mult
13×swap-sqr
12×diff-log
neg-mul-1
pow-flip
rem-cube-cbrt associate-+l+ un-div-inv inv-pow neg-sub0
cube-div cos-sum pow-plus associate-+r-
associate-+l-
pow-neg
rem-exp-log pow2 cos-diff acos-asin asin-acos exp-sum rem-cbrt-cube
unsub-neg distribute-frac-neg associate--r+ rem-log-exp
sqrt-undiv sum-cubes sqrt-unprod distribute-rgt-out-- rem-square-sqrt mul0

localize2.1s (0.3%)

bsearch1.8s (0.3%)

end1.0ms (0.0%)

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