Date:Wednesday, July 22nd, 2020
Commit:750605db on cleanup
Hostname:warfa with Racket 7.5
Seed:2020204
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

Time bar (total: 6.5min)

prune3.2min (50.2%)

sample1.3min (20.6%)

Algorithm
61×intervals
Results
17.9s27486×body1280valid
15.7s175192×body80valid
8.5s18497×body640valid
5.0s6603×body2560valid
4.9s50601×body80nan
2.9s9034×body320valid
2.8s4611×body1280nan
2.6s23301×body80invalid
1.8s8751×body160valid
1.8s3994×body640nan
1.5s2911×body1280invalid
1.5s2373×body5120valid
838.0ms2548×body640invalid
679.0ms2079×body320nan
382.0ms564×body5120exit
366.0ms2531×body80overflowed
340.0ms1400×body320invalid
154.0ms97×body2560invalid
150.0ms8256×pre80true
143.0ms33×body5120invalid
130.0ms620×body160nan
120.0ms694×body160invalid

analyze35.6s (9.2%)

Algorithm
31×search
Search
TrueOtherFalseIter
0%98.2%1.8%0
3.2%95%1.8%1
5.6%91%3.4%2
8%84.5%7.4%3
9.8%80.7%9.5%4
13.5%76.9%9.7%5
16%72.8%11.2%6
18.1%68.2%13.7%7
21.2%62.6%16.2%8
24.7%57%18.2%9
26.4%53.6%20%10
28.9%49.8%21.3%11
30.2%47.2%22.5%12
31.9%42.5%25.7%13
32.9%40.8%26.3%14

series30.1s (7.8%)

Calls

451 calls:

2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (* (pow (/ l Om) 2.0) (* (cbrt (- U U*)) (cbrt (- U U*))))) (cbrt (- U U*))))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.9s
(sqrt (* (* 2.0 n) (* U (- t (+ (* 2.0 (* (/ l Om) l)) (* n (* (pow (/ l Om) 2.0) (- U U*))))))))
1.6s
(sqrt (* (* (cbrt (* 2.0 (* n (* U (- t (+ (* 2.0 (* (/ l Om) l)) (* n (* (pow (/ l Om) 2.0) (- U U*))))))))) (cbrt (* 2.0 (* n (* U (- t (+ (* 2.0 (* (/ l Om) l)) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))))) (cbrt (* 2.0 (* n (* U (- t (+ (* 2.0 (* (/ l Om) l)) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))))))
459.0ms
(cbrt (* 2.0 (* n (* U (- t (+ (* 2.0 (* (/ l Om) l)) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))))

regimes16.6s (4.3%)

Accuracy

Total 52.4b remaining (24.6%)

Threshold costs 5.7b (2.7%)

12.1b1223%Toniolo and Linder, Equation (13)
8.7b-387%Henrywood and Agarwal, Equation (13)
6.5b4921.3%Henrywood and Agarwal, Equation (3)
6.0b1014.2%Henrywood and Agarwal, Equation (12)
5.6b7673%Toniolo and Linder, Equation (7)

simplify15.7s (4%)

Algorithm
179×egg-herbie

rewrite11.7s (3%)

Algorithm
118×rewrite-expression-head
Rules
124570×add-exp-log
87652×prod-exp
73293×pow-exp
49121×div-exp
24989×pow-to-exp
7128×1-exp
4022×add-sqr-sqrt
3387×times-frac
3385×*-un-lft-identity
2805×add-cube-cbrt
2570×add-cbrt-cube
1239×pow1
1159×unpow-prod-down
1083×cbrt-unprod
1053×associate-*r/
1028×associate-*r*
1021×associate-*l*
950×sqrt-prod
548×add-log-exp
547×cbrt-prod
423×cbrt-undiv
386×cbrt-div
368×unswap-sqr
363×pow-prod-down
350×associate-/r*
344×pow-unpow
327×flip-- flip3--
320×sqr-pow
303×sqrt-div
271×associate-/l*
257×frac-times
247×associate-*l/
237×div-inv
228×rec-exp
218×distribute-lft-out
209×associate-/r/
183×flip-+ flip3-+
171×*-commutative
159×difference-of-squares
130×frac-sub
115×sqrt-pow1
100×log-prod
84×pow-pow
82×pow1/3
80×clear-num frac-2neg
71×pow1/2
68×distribute-lft-out--
60×distribute-rgt-in distribute-lft-in
59×rem-sqrt-square
57×swap-sqr
54×tan-quot
52×sub-neg
39×exp-prod
37×associate-/l/
34×sum-log
31×log-pow
27×frac-add cube-prod
26×+-commutative
24×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-up
21×pow-flip
17×div-sub
16×diff-log pow-sqr
12×rem-log-exp pow-plus inv-pow
associate-+r+ sinh-def sinh-undef distribute-frac-neg un-div-inv pow-neg unpow2
pow2 pow-sub
neg-mul-1 cosh-undef
neg-sub0 associate--l+
log-div asin-acos sum-cubes
acos-asin cos-diff cos-sum cosh-def cube-mult associate--r+ unpow3
exp-sum unpow-prod-up associate-+l+ associate-+r- rem-exp-log
cube-div distribute-lft-neg-out sqrt-undiv rem-square-sqrt sqrt-unprod associate--r- pow3 mul0-rgt exp-diff rem-cube-cbrt
Calls

451 calls:

815.0ms
(* l (* 2.0 (* (* (/ (cos k) (pow (sin k) 2)) l) (pow (* (/ (pow (pow (/ -1 k) (/ 2.0 2)) 1.0) 1) (* (pow (pow (/ -1 t) 1.0) 1.0) (/ (pow (pow (/ -1 k) (/ 2.0 2)) 1.0) (pow -1 3.0)))) 1.0))))
264.0ms
(* (* (/ (cos k) (pow (sin k) 2)) l) (pow (* (/ (pow (pow (/ -1 k) (/ 2.0 2)) 1.0) 1) (* (pow (pow (/ -1 t) 1.0) 1.0) (/ (pow (pow (/ -1 k) (/ 2.0 2)) 1.0) (pow -1 3.0)))) 1.0))
247.0ms
(* (/ 2.0 (* (pow t 3.0) (* (sin k) (* (tan k) (+ 1.0 (+ 1.0 (pow (/ k t) 2.0))))))) l)
85.0ms
(* (/ (pow (pow (/ -1 k) 2.0) 1.0) (pow -1 3.0)) (pow (pow (/ -1 t) 1.0) 1.0))
79.0ms
(* l (* 2.0 (* (* (/ (cos k) (pow (sin k) 2)) l) (pow (* (/ (pow (pow (/ -1 k) 2.0) 1.0) (pow -1 3.0)) (pow (pow (/ -1 t) 1.0) 1.0)) 1.0))))

localize2.4s (0.6%)

bsearch1.4s (0.4%)

end1.0ms (0%)

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