Date:Thursday, June 11th, 2020
Commit:ff1367c2 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020163
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

sample1.8min (85.6%)

Algorithm
22×intervals
Results
5.0s10714×body1280valid
2.5s69548×body80valid
1.9s6537×body640valid
869.0ms24768×pre80true
583.0ms2769×body320valid
187.0ms1248×body160valid
127.0ms1465×body80invalid
94.0ms276×body640invalid
71.0ms142×body1280invalid
52.0ms219×body320invalid
17.0ms105×body160invalid
sampling

Space saved by range analysis: 30.413973%

Space saved by search: 31.664663%

Guaranteed chance to sample good point: 76.741156%

prune5.3s (4.1%)

Filtered
2861 candidates to 1883 candidates (34.2%)

simplify5.2s (4.0%)

Algorithm
61×egg-herbie

series3.7s (2.8%)

Calls

106 calls:

254.0ms
(/ r (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sin b)))
148.0ms
(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
127.0ms
(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
121.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
120.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))

regimes2.9s (2.3%)

Accuracy

Total 4.6b remaining (22.2%)

Threshold costs 2.3b (11.1%)

2.3b14.3%mixedcos
0.4b0%sqrt A
0.4b0%sqrt C
0.3b0%rsin A
0.3b77.6%sqrt E

rewrite789.0ms (0.6%)

Algorithm
39×rewrite-expression-head
Calls

106 calls:

22.0ms
(sqrt (+ (pow x 2.0) (pow x 2.0)))
22.0ms
(* (* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
20.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (fabs x))))
19.0ms
(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
18.0ms
(* (* (pow x 1.0) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))
Rules
1117×add-exp-log
736×prod-exp
627×add-sqr-sqrt
538×*-un-lft-identity
476×add-cube-cbrt
410×add-cbrt-cube
360×times-frac
289×pow1
227×associate-*l*
202×cbrt-unprod
189×associate-*r*
147×pow-to-exp pow-exp
142×add-log-exp
132×sqrt-prod
107×pow-prod-down
94×cbrt-prod
90×div-exp
82×unpow-prod-down
68×associate-/r*
61×unswap-sqr
58×associate-/l*
50×*-commutative
40×cbrt-undiv
34×sin-mult
33×div-inv
30×tan-quot associate-/r/
29×sqr-pow
28×cos-mult
24×frac-sub flip-- flip3--
23×distribute-lft-out
20×distribute-rgt-out associate-/l/ associate-*l/
18×clear-num frac-2neg
17×distribute-lft-out-- difference-of-squares
14×sqrt-pow1 sub-div pow1/3
11×sub-neg flip-+ flip3-+ diff-log
associate-*r/ sum-log pow1/2
+-commutative
frac-add rem-sqrt-square
associate-+r+ distribute-lft1-in count-2 sqrt-div div-sub distribute-rgt1-in
pow-unpow swap-sqr frac-times
tan-sum cos-sum associate-+r- pow-pow
pow2 pow-plus sqrt-unprod pow-sqr pow-prod-up

localize403.0ms (0.3%)

bsearch217.0ms (0.2%)

end0.0ms (0.0%)

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