Date:Tuesday, March 3rd, 2020
Commit:ee6b458f on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020063
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

prune1.2m (33.1%)

Filtered
18682 candidates to 13116 candidates (70.2%)

sample1.1m (30.8%)

Algorithm
60×intervals
Results
24.1s335362×body80valid
8.9s206748×body80nan
7.2s21506×body1280valid
2.6s11059×body640valid
2.6s5429×body2560valid
828.0ms5102×body320valid
387.0ms16512×pre80true
297.0ms2470×body160valid
56.0ms210×body5120valid

series42.0s (19.1%)

Calls

352 calls:

693.0ms
(pow (exp (* (cbrt (- (- 1.0 (* x x)))) (cbrt (- (- 1.0 (* x x)))))) (cbrt (- (- 1.0 (* x x)))))
534.0ms
(/ (* (- 1 (* (tan y) (tan z))) (cos a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))))
475.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))
470.0ms
(* (/ (- y z) (- (+ t 1.0) z)) (- a x))
465.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))

regimes16.5s (7.5%)

Accuracy

Total 43.8b remaining (27.7%)

Threshold costs 2.4b (1.5%)

13.6b-28.1%Linear.Matrix:det44 from linear-1.19.1.3
5.7b6.7%Linear.Matrix:det33 from linear-1.19.1.3
5.3b80.3%The quadratic formula (r1)
2.6b0%cos(2*x)/(cos^2(x)*sin^2(x))
2.5b90.5%NMSE problem 3.2.1

simplify9.8s (4.5%)

Algorithm
164×egg-herbie

rewrite5.0s (2.3%)

Algorithm
104×rewrite-expression-head
Calls

352 calls:

173.0ms
(/ (/ 1 (/ (/ (sqrt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) a) (cbrt c))) a)
135.0ms
(* (* (/ 1 (* (* (cbrt (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (cbrt (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z))))) (* (cbrt (cbrt (- (+ t 1.0) z))) (cbrt (cbrt (- (+ t 1.0) z)))))) (/ (- y z) (cbrt (- (+ t 1.0) z)))) (- a x))
113.0ms
(/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)))
57.0ms
(* (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
54.0ms
(/ (/ 1 (/ (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) c)) a)
Rules
29652×times-frac
15415×add-sqr-sqrt
14585×*-un-lft-identity
13010×add-cube-cbrt
9646×cbrt-prod
2384×distribute-rgt-neg-in
2348×distribute-lft-neg-in
2330×add-exp-log
1971×sqrt-prod
1287×add-cbrt-cube
1244×associate-/l*
1065×prod-exp
984×difference-of-squares
909×pow1
779×associate-*r*
770×neg-mul-1
621×distribute-lft-out--
588×div-inv
585×associate-*l*
516×add-log-exp
503×div-exp
403×cbrt-unprod
347×associate-/r*
310×flip-- flip3--
244×pow-prod-down cbrt-undiv
223×associate-/r/
222×associate-*l/
207×associate-*r/
196×unpow-prod-down
190×frac-times
183×distribute-lft-out
181×pow-exp
180×unswap-sqr
160×exp-prod
159×frac-sub
157×cbrt-div
146×pow-to-exp
131×distribute-rgt-in distribute-lft-in
125×sub-neg
124×*-commutative
114×flip-+ flip3-+
110×log-prod
107×log-pow
88×pow-unpow
80×pow1/3
74×frac-2neg clear-num
69×1-exp rec-exp
67×associate-/l/
63×sin-mult
62×cos-mult
56×tan-quot
52×sqrt-div
48×diff-log
45×exp-sum
40×sum-log
37×swap-sqr
36×sqr-pow
35×associate-+r+
34×frac-add
25×sqrt-pow1
24×pow1/2
23×pow-sqr pow-prod-up
21×associate-+l+ rem-sqrt-square sub-div
20×+-commutative div-sub
19×neg-sub0
18×associate--r+
16×pow-flip
14×inv-pow associate-+l- distribute-neg-frac
13×un-div-inv associate--l+
12×pow-plus log-div
11×distribute-frac-neg
10×rem-exp-log neg-log
pow-pow
pow2
rem-log-exp associate--l- log-rec
exp-diff distribute-rgt-neg-out
exp-neg exp-to-pow
pow-div pow-neg distribute-lft-neg-out distribute-rgt-out--
e-exp-1 associate-+r- distribute-neg-in pow-sub tan-sum cos-sum
sqrt-unprod distribute-rgt-out quot-tan

bsearch3.3s (1.5%)

localize2.7s (1.2%)

end0.0ms (0.0%)