Date:Thursday, April 30th, 2020
Commit:79b0ceb2 on master
Hostname:warfa with Racket 7.5
Seed:2020121
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

series10.7m (83.4%)

Calls

322 calls:

3.1s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt (* (* j 27.0) k)) (cbrt (* (* j 27.0) k))) (cbrt (* (* j 27.0) k))))))
3.0s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
3.0s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
699.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
611.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))

sample1.0m (7.9%)

Algorithm
59×intervals
Results
14.8s263716×body80valid
11.2s201094×body80nan
8.1s21417×body1280valid
3.3s5282×body2560valid
3.0s11052×body640valid
1.7s3127×body2560nan
997.0ms5145×body320valid
928.0ms2653×body1280nan
694.0ms16512×pre80true
338.0ms2489×body160valid
320.0ms1287×body640nan
121.0ms682×body320nan
83.0ms278×body5120exit
78.0ms245×body5120valid
48.0ms330×body160nan

prune42.2s (5.5%)

Filtered
14345 candidates to 8808 candidates (61.4%)

simplify9.0s (1.2%)

Algorithm
160×egg-herbie

regimes8.5s (1.1%)

Accuracy

Total 41.4b remaining (30.3%)

Threshold costs 2.3b (1.7%)

7.5b4.2%Linear.Matrix:det33 from linear-1.19.1.3
5.2b81.9%NMSE problem 3.2.1
4.7b3.8%sqrt sqr
3.9b85.7%The quadratic formula (r1)
2.9b-16.5%cos(2*x)/(cos^2(x)*sin^2(x))

rewrite3.4s (0.4%)

Algorithm
102×rewrite-expression-head
Calls

324 calls:

81.0ms
(+ (/ (- a x) (/ (- (+ t 1.0) z) (- y z))) x)
79.0ms
(+ (/ (- a x) (/ (- (+ t 1.0) z) (- y z))) x)
59.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
52.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
42.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
Rules
7881×*-un-lft-identity
7521×times-frac
6637×add-sqr-sqrt
4631×add-cube-cbrt
2548×sqrt-prod
1884×add-exp-log
1452×prod-diff
1261×distribute-rgt-neg-in
1209×distribute-lft-neg-in
1032×add-cbrt-cube
983×distribute-lft-out--
876×difference-of-squares
857×associate-*l/
847×associate-*r/
826×prod-exp
722×distribute-lft-out
715×flip3-- flip--
697×pow1
568×frac-sub
550×associate-*l*
504×associate-*r*
480×associate-/r*
478×add-log-exp
458×fma-def
424×frac-times
417×div-exp
344×sqrt-div
335×neg-mul-1
324×log1p-expm1-u expm1-log1p-u
321×associate-/l*
273×div-inv
252×cbrt-unprod
238×distribute-rgt-in distribute-lft-in
223×fma-neg associate-+r+
222×flip-+ flip3-+
220×associate-/l/
208×associate-/r/
182×cbrt-undiv
176×pow-exp
172×pow-to-exp
159×exp-prod
139×log-pow
138×pow-prod-down
129×cbrt-prod
127×unswap-sqr
115×unpow-prod-up sub-neg
96×*-commutative
84×unpow-prod-down
74×associate--r+
73×log-prod
68×frac-2neg clear-num
57×1-exp
55×diff-log
51×rec-exp
46×pow1/3
45×distribute-neg-frac
40×associate-+l+
37×fma-udef
34×sqr-pow sqrt-pow1
33×pow1/2
30×sum-log
29×pow-unpow tan-quot
26×rem-sqrt-square
24×swap-sqr cbrt-div
22×neg-sub0
20×sin-mult
19×+-commutative div-sub exp-sum
18×associate-+l-
15×neg-log log-div
14×cos-mult
13×pow-flip
12×associate--l-
11×inv-pow
10×distribute-neg-in associate--l+
rem-exp-log frac-add sub-div
exp-diff pow-sqr pow-prod-up
pow-pow un-div-inv pow-sub distribute-frac-neg rem-log-exp
associate-+r- exp-neg pow2 pow-plus
distribute-lft-neg-out sqrt-unprod hypot-def log-rec tan-sum cos-sum
e-exp-1 pow-neg unpow1/3

localize2.4s (0.3%)

bsearch1.3s (0.2%)

end1.0ms (0.0%)