Date:Wednesday, May 27th, 2020
Commit:c82eb183 on master
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

prune4.5m (61.1%)

Filtered
18895 candidates to 10523 candidates (44.3%)

sample1.7m (22.9%)

Algorithm
60×intervals
Results
18.6s244234×body80valid
17.0s27973×body1280valid
13.5s167133×body80nan
9.1s8784×body2560valid
8.0s20351×body640valid
5.6s3451×body5120valid
2.8s10012×body320valid
1.6s9016×body160valid
760.0ms1568×body1280nan
549.0ms1548×body640nan
361.0ms2653×body80overflowed
348.0ms560×body5120exit
187.0ms768×body320nan
136.0ms8256×pre80true
63.0ms415×body160nan

series27.6s (6.3%)

Calls

436 calls:

2.1s
(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*))))))
2.1s
(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*)))))
2.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
380.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes21.3s (4.8%)

Accuracy

Total 47.0b remaining (21.3%)

Threshold costs 3.5b (1.6%)

8.1b38.9%Toniolo and Linder, Equation (10-)
7.6b16.3%Toniolo and Linder, Equation (13)
6.4b49.3%Henrywood and Agarwal, Equation (3)
5.7b76.1%Toniolo and Linder, Equation (7)
4.1b18.6%Henrywood and Agarwal, Equation (12)

simplify11.9s (2.7%)

Algorithm
172×egg-herbie

rewrite5.5s (1.2%)

Algorithm
113×rewrite-expression-head
Calls

436 calls:

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)))))
76.0ms
(* (* (* (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))))
75.0ms
(* (* (* (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))))
66.0ms
(* (+ (* (* 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)))
62.0ms
(/ 2.0 (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))
Rules
23824×add-exp-log
16512×prod-exp
7109×pow-exp
6050×div-exp
4408×times-frac
4352×add-sqr-sqrt
3965×*-un-lft-identity
3338×add-cube-cbrt
3188×associate-*r/
2717×pow-to-exp
2707×add-cbrt-cube
2342×associate-*l/
1984×sqrt-prod
1782×frac-add
1764×frac-times
1570×flip-+ flip3-+
1270×pow1
1246×associate-*l*
1147×cbrt-unprod
1130×unpow-prod-down
1120×1-exp
954×flip3-- flip--
941×associate-*r*
676×distribute-neg-frac
546×add-log-exp
528×rec-exp
493×associate-/l/
450×cbrt-undiv
420×pow-prod-down
417×cbrt-prod
356×associate-/r*
355×unswap-sqr
353×pow-unpow
335×associate-/l*
305×sqr-pow
281×sqrt-div
257×div-inv
228×associate-/r/
226×distribute-lft-out
167×*-commutative
139×distribute-lft-out--
137×difference-of-squares
119×distribute-rgt-neg-in
99×distribute-rgt-in distribute-lft-in
96×tan-quot
95×distribute-lft-neg-in
91×sqrt-pow1
83×clear-num frac-2neg
77×cube-prod
70×sub-neg
68×pow1/2
59×rem-sqrt-square
51×pow-pow
50×unpow2
49×sum-log
44×frac-sub
42×cbrt-div
41×pow1/3
33×+-commutative
29×log-div
27×exp-diff div-sub log-prod
23×pow-sub swap-sqr
22×associate-+r+ associate--l+
19×pow-prod-up
18×exp-prod
17×log-pow
16×pow-sqr
14×pow-neg unpow3 cube-mult
13×neg-sub0
11×diff-log un-div-inv neg-mul-1
rem-cube-cbrt pow-plus
cube-div cos-sum associate-+r-
associate-+l+ pow-flip associate-+l-
inv-pow pow2
rem-exp-log 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 (0.5%)

bsearch2.0s (0.5%)

end1.0ms (0.0%)

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