Date:Friday, July 10th, 2020
Commit:a8193a33 on movability-off
Hostname:warfa with Racket 7.5
Seed:2020192
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

sample1.2min (42.2%)

Algorithm
56×intervals
Results
26.7s69980×body1280valid
18.5s17333×body2560valid
9.2s43482×body640valid
2.9s21149×body320valid
2.8s68412×body80valid
2.4s2240×body1280nan
1.8s1702×body5120exit
1.3s1827×body640nan
928.0ms10369×body160valid
669.0ms42930×pre80true
405.0ms934×body320nan
181.0ms3650×body80nan
161.0ms235×body640invalid
159.0ms443×body5120valid
146.0ms114×body1280invalid
114.0ms485×body160nan
96.0ms1667×body80invalid
82.0ms207×body320invalid
17.0ms71×body160invalid
1.0msbody2560invalid

series53.3s (30.7%)

Calls

355 calls:

16.4s
(cbrt (/ (- (pow (exp (+ a b)) eps) 1.0) (* eps (* (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2))))) (- (pow (exp b) eps) 1.0)))))
16.3s
(cbrt (/ (- (pow (exp (+ a b)) eps) 1.0) (* eps (* (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2))))) (- (pow (exp b) eps) 1.0)))))
15.4s
(cbrt (/ (- (pow (exp (+ a b)) eps) 1.0) (* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))))
454.0ms
(* eps (/ (- (pow (exp (+ a b)) eps) 1.0) (* (* eps (+ a (+ (log 1) (* eps (* 1/2 (pow (log 1) 2)))))) (- (pow (exp b) eps) 1.0))))
98.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))

prune18.9s (10.9%)

Filtered
9932 candidates to 6726 candidates (32.3%)

analyze10.3s (6.0%)

Algorithm
28×search
Search
TrueOtherFalseIter
0%90.9%9.1%0
14.3%76.7%9.1%1
21.4%67.8%10.9%2
33.2%51.7%15.1%3
37.6%44.1%18.2%4
43.8%36.2%19.9%5
46.6%32.5%20.9%6
48.1%29.6%22.3%7
49.9%27.4%22.7%8
51.1%25.4%23.5%9
51.5%24.3%24.2%10
52.4%22.9%24.7%11
53.2%21.5%25.2%12
53.5%20.9%25.6%13
53.9%20.1%26%14

simplify8.9s (5.1%)

Algorithm
165×egg-herbie

regimes4.1s (2.3%)

Accuracy

Total 21.5b remaining (18.7%)

Threshold costs 6.2b (5.4%)

4.8b83.2%quad2p (problem 3.2.1, positive)
4.8b82.4%quadp (p42, positive)
2.0b91.6%quad2m (problem 3.2.1, negative)
1.4b86.9%2nthrt (problem 3.4.6)
1.2b95%quadm (p42, negative)

rewrite2.9s (1.7%)

Algorithm
109×rewrite-expression-head
Calls

355 calls:

54.0ms
(* (/ (cbrt 1.0) (cbrt (+ 1.0 x))) (/ (cbrt 1.0) (cbrt (+ 1.0 x))))
41.0ms
(+ (- (* (* (/ (cbrt 1.0) (cbrt (+ 1.0 x))) (/ (cbrt 1.0) (cbrt (+ 1.0 x)))) (/ (cbrt 1.0) (cbrt (+ 1.0 x)))) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
36.0ms
(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))
34.0ms
(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))
32.0ms
(/ (/ 1.0 (sqrt (+ (sqrt (+ 1.0 x)) (sqrt x)))) (sqrt (+ (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (sqrt x))))
Rules
3488×*-un-lft-identity
3338×add-sqr-sqrt
2527×times-frac
1923×add-cube-cbrt
1050×add-exp-log
957×add-cbrt-cube
912×sqrt-prod
762×pow1
630×difference-of-squares
610×add-log-exp
582×cbrt-prod
456×distribute-lft-out
385×associate-*r*
383×unpow-prod-down
349×distribute-lft-out--
322×associate-/l*
318×log-prod
300×associate-*l*
285×associate-/r*
244×prod-exp
222×cbrt-unprod
185×flip-- flip3--
176×div-exp flip-+ flip3-+
174×cube-prod
168×associate-*r/
167×associate-/r/
158×cbrt-undiv sqr-pow
148×log-pow
144×sqrt-div
142×pow-prod-down
131×unswap-sqr
129×exp-prod
123×div-inv
118×pow-unpow
116×swap-sqr
111×sqrt-pow1
91×sub-neg
83×diff-log
75×pow1/2
73×cbrt-div
68×*-commutative
66×pow-pow
62×clear-num frac-2neg
61×pow1/3
60×sum-log associate-/l/ frac-times
57×associate-+l+
56×associate-*l/
45×log-div
43×frac-add
40×distribute-rgt-in distribute-lft-in
35×distribute-rgt-neg-in
34×pow-to-exp pow-exp
32×tan-quot
30×rem-sqrt-square
29×+-commutative
28×pow-prod-up
27×distribute-lft-neg-in
26×unpow2
24×div-sub
23×rem-log-exp
21×associate-+r+ frac-sub
20×associate--l+
18×pow-sqr
15×sum-cubes
14×exp-sum
12×cube-div
11×cube-mult unpow3
neg-mul-1 sin-sum exp-diff associate--r+
1-exp rec-exp
associate--l-
pow2 pow-plus rem-cube-cbrt
neg-sub0 difference-cubes associate-+r- sqrt-unprod distribute-frac-neg pow-flip
inv-pow associate-+l- rem-cbrt-cube sin-mult rem-exp-log
rem-square-sqrt sin-cos-mult distribute-rgt-neg-out
exp-neg tan-sum cos-sum sub-div associate--r- neg-log distribute-rgt-out--
diff-cos exp-to-pow diff-sin diff-atan

localize1.2s (0.7%)

bsearch558.0ms (0.3%)

end0.0ms (0.0%)

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