Date:Tuesday, July 21st, 2020
Commit:e15f1dc1 on master
Hostname:warfa with Racket 7.5
Seed:2020203
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

sample5.5s (32.5%)

Algorithm
18×intervals
Results
3.1s70065×body80valid
802.0ms4228×body1280valid
123.0ms1432×body80nan
117.0ms2059×body80invalid
1.0ms11×body160valid

simplify4.0s (23.3%)

Algorithm
42×egg-herbie

prune2.8s (16.6%)

Filtered
1756 candidates to 1207 candidates (31.3%)

analyze1.9s (11.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
11.1%88.8%0.1%1
11.1%83.3%5.6%2
19.4%69.4%11.2%3
31.9%51.3%16.8%4
35.4%45.1%19.5%5
45.1%34%20.9%6
50.7%26.4%23%7
53.3%23.4%23.3%8
57.6%18.3%24.1%9
59.6%15.1%25.4%10
61.3%12.9%25.8%11
63.2%10%26.8%12
64.2%8.2%27.6%13
64.9%6.9%28.2%14

regimes941.0ms (5.6%)

Accuracy

Total 4.5b remaining (27.7%)

Threshold costs 0.4b (2.6%)

1.7b0%fabs fraction 1
1.2b92%jeff quadratic root 1
1.2b92.2%jeff quadratic root 2
0.4b0%sqrt times
0.0b0%subtraction fraction

series862.0ms (5.1%)

Calls

61 calls:

31.0ms
(- (* (fabs (cbrt (- (* b b) (* c (* 4.0 a))))) (sqrt (cbrt (- (* b b) (* c (* 4.0 a)))))) b)
29.0ms
(* c (* (/ (cbrt a) (cbrt b)) (/ (cbrt a) (cbrt b))))
27.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))
26.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))
25.0ms
(cbrt x)

rewrite520.0ms (3.1%)

Algorithm
24×rewrite-expression-head
Calls

61 calls:

30.0ms
(/ (* 2.0 c) (+ (neg b) (- (* 2.0 (* (* c (* (/ (cbrt a) (cbrt b)) (/ (cbrt a) (cbrt b)))) (/ (cbrt a) (cbrt b)))) b)))
26.0ms
(sqrt (- (* b b) (* c (* 4.0 a))))
23.0ms
(pow (* (cbrt (pow (/ (+ f n) (- n f)) 2)) (cbrt (/ (+ f n) (- n f)))) 3)
19.0ms
(/ (+ f n) (- n f))
14.0ms
(* c (* (/ (cbrt a) (cbrt b)) (/ (cbrt a) (cbrt b))))
Rules
682×*-un-lft-identity
549×add-sqr-sqrt
430×times-frac
346×add-cube-cbrt
208×cbrt-prod
205×add-exp-log
163×add-cbrt-cube
108×unpow-prod-down
106×pow1
95×add-log-exp
88×distribute-lft-out
80×distribute-lft-out--
78×associate-*r*
77×difference-of-squares
58×associate-/r*
56×associate-*l* prod-exp
53×cube-prod
48×sqrt-prod
46×flip-- flip3--
43×cbrt-unprod
42×div-exp
40×associate-/l*
34×cbrt-undiv associate-/r/
29×div-inv
26×sqrt-div
20×associate-*r/
18×sub-neg pow-prod-down unswap-sqr
16×associate-/l/
15×sqrt-pow1 diff-log
14×pow1/2
13×pow1/3
12×clear-num distribute-rgt-neg-in frac-2neg
11×rem-sqrt-square flip-+ flip3-+
10×pow-unpow cbrt-div
associate-*l/ *-commutative
pow-exp 1-exp frac-times pow-pow sqr-pow
frac-add
exp-prod rem-cube-cbrt
cube-div pow-to-exp cube-mult unpow2 unpow3
distribute-rgt-in associate-+r+ frac-sub sum-log distribute-lft-in sub-div rem-exp-log
associate--l- exp-sum neg-sub0 unpow-prod-up +-commutative e-exp-1 sqrt-unprod neg-log pow3 rem-cbrt-cube exp-diff associate--r+ pow-sub

localize334.0ms (2.0%)

bsearch123.0ms (0.7%)

end0.0ms (0.0%)

Profiling

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