Date:Wednesday, March 18th, 2020
Commit:1a959946 on master
Hostname:warfa with Racket 7.5
Seed:2020078
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

series10.8m (84.7%)

Calls

332 calls:

4.1s
(cbrt (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
4.0s
(cbrt (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
4.0s
(cbrt (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
577.0ms
(/ (/ (pow (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
514.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

sample50.8s (6.6%)

Algorithm
59×intervals
Results
12.4s263343×body80valid
9.0s208636×body80nan
7.4s21452×body1280valid
2.7s11058×body640valid
2.7s5357×body2560valid
865.0ms4943×body320valid
404.0ms16512×pre80true
294.0ms2489×body160valid
66.0ms229×body5120valid

prune43.3s (5.7%)

Filtered
12489 candidates to 8406 candidates (67.3%)

simplify8.8s (1.2%)

Algorithm
159×egg-herbie

regimes7.7s (1.0%)

Accuracy

Total 31.3b remaining (24.9%)

Threshold costs 3.5b (2.8%)

4.7b26.4%Linear.Matrix:det33 from linear-1.19.1.3
4.4b84.4%NMSE problem 3.2.1
3.4b88.2%The quadratic formula (r1)
3.3b44.1%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1
2.8b0.4%cos(2*x)/(cos^2(x)*sin^2(x))

rewrite3.0s (0.4%)

Algorithm
101×rewrite-expression-head
Calls

335 calls:

79.0ms
(* (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i)))
50.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
40.0ms
(* (sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))) (sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))))
34.0ms
(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))
30.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
Rules
5498×times-frac
4793×*-un-lft-identity
4601×add-sqr-sqrt
3695×add-cube-cbrt
1931×add-exp-log
1128×unpow-prod-down
1073×add-cbrt-cube
974×prod-diff
873×pow1
866×prod-exp
812×sqrt-prod
564×associate-*l*
513×associate-*r*
476×add-log-exp
418×distribute-rgt-neg-in
392×cbrt-prod
391×distribute-lft-neg-in
370×div-exp
335×log1p-expm1-u expm1-log1p-u
334×cbrt-unprod
326×div-inv
307×associate-/l*
304×exp-sum
302×distribute-lft-out--
300×fma-udef
296×associate-/r*
295×distribute-lft-out
256×difference-of-squares
234×pow-prod-down
212×pow-exp
209×flip-- flip3--
206×distribute-rgt-in distribute-lft-in
186×sqr-pow unswap-sqr
181×distribute-neg-in
176×unpow-prod-up
161×pow-to-exp
160×associate-*r/
159×cbrt-undiv
158×cube-prod
132×fma-neg
129×cbrt-div
116×pow-unpow frac-times
114×neg-mul-1
108×*-commutative frac-sub
105×flip-+ flip3-+
98×associate-/r/
90×sub-neg
87×fma-def
85×associate-*l/ swap-sqr
84×sqrt-div
81×associate-+r+
66×log-pow pow1/3
62×associate--r+ tan-quot
58×associate-+l+
53×associate-/l/ clear-num frac-2neg
52×pow1/2 sqrt-pow1
51×exp-prod
49×log-prod
44×rem-sqrt-square
43×diff-log
33×1-exp rec-exp
32×sum-log
30×sin-mult
29×neg-sub0
27×pow-pow
24×cos-mult
21×pow-prod-up
18×frac-add pow-sqr
16×associate-+l-
15×rem-exp-log +-commutative div-sub
13×neg-log sub-div
12×associate--l+
11×pow-sub pow-neg
pow-plus
pow2 associate--l- log-div
distribute-frac-neg inv-pow pow-flip unpow2
un-div-inv distribute-neg-frac
exp-diff sqrt-unprod unpow3 cube-mult distribute-rgt-neg-out
cube-div rem-cube-cbrt distribute-lft-neg-out rem-square-sqrt cos-sum tan-sum associate-+r- log-rec
rem-cbrt-cube mul-1-neg exp-neg cube-neg exp-to-pow rem-log-exp unpow1/2

localize2.4s (0.3%)

bsearch1.2s (0.2%)

end1.0ms (0.0%)