Date:Tuesday, June 30th, 2020
Commit:8ccfdff1 on old-regraph
Hostname:debbie with Racket 7.7
Seed:2020182
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

simplify3.5min (63.9%)

prune55.4s (17.1%)

Filtered
10700 candidates to 6923 candidates (35.3%)

sample44.8s (13.8%)

Algorithm
73×intervals
Results
16.0s294575×body80valid
5.7s14161×body1280valid
2.5s3902×body2560valid
2.5s16922×body160valid
2.4s9558×body640valid
2.2s100683×pre80true
1.1s6744×body320valid
826.0ms200×body5120exit
786.0ms19532×body80nan
167.0ms2020×body80overflowed
120.0ms265×body5120valid
4.0ms100×pre80false

regimes6.0s (1.8%)

Accuracy

Total 30.0b remaining (20.3%)

Threshold costs 3.4b (2.3%)

6.4b64.1%Compound Interest
4.4b84.8%The quadratic formula (r1)
4.3b79%Kahan p9 Example
3.7b-11.7%Complex division, imag part
3.4b87.3%The quadratic formula (r2)

series4.5s (1.4%)

Calls

320 calls:

85.0ms
(+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)))) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))
85.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))
84.0ms
(+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* (* x1 x1) (* (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))) (cbrt (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))
83.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
82.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4))

rewrite4.2s (1.3%)

Algorithm
111×rewrite-expression-head
Calls

320 calls:

90.0ms
(+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (* (* (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))) (cbrt (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)))) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0)))
59.0ms
(exp (log (- (* (+ (* (* 77617.0 77617.0) (+ -2.0 (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))))) (* 333.75 (pow 33096.0 6.0))) (+ (* (* 77617.0 77617.0) (+ -2.0 (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))))) (* 333.75 (pow 33096.0 6.0)))) (* (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))))))
59.0ms
(+ (+ (/ 0.5 (pow t 4)) (/ 1.25 (pow t 3))) (/ 0.25 (pow t 5)))
55.0ms
(* 100.0 (/ (/ (- (+ (* 1.0 i) (+ (* (log 1.0) n) (* 0.5 (pow i 2)))) (* 0.5 (* (log 1.0) (pow i 2)))) i) (/ 1 n)))
54.0ms
(- (* (+ (* (* 77617.0 77617.0) (+ -2.0 (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))))) (* 333.75 (pow 33096.0 6.0))) (+ (* (* 77617.0 77617.0) (+ -2.0 (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))))) (* 333.75 (pow 33096.0 6.0)))) (* (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))))
Rules
3481×times-frac
3289×*-un-lft-identity
3261×add-sqr-sqrt
2294×add-cube-cbrt
1501×add-exp-log
1317×add-cbrt-cube
958×associate-*r/
955×associate-*r*
930×frac-times
836×flip-+ flip3-+
771×add-log-exp
722×pow1
588×flip-- flip3--
568×cbrt-div
513×sqrt-prod
495×prod-exp
492×frac-sub
479×associate-*l/
427×cbrt-unprod
348×difference-of-squares
325×distribute-lft-out
321×associate-/r*
312×div-exp
301×associate-/l*
300×associate-*l*
295×frac-add
264×unpow-prod-down
249×cbrt-undiv
237×div-inv
219×distribute-lft-out--
198×pow-prod-down
193×associate-/r/
151×sum-log
144×sqr-pow
139×cbrt-prod unswap-sqr
130×sqrt-div
125×exp-diff
118×sub-neg
113×diff-log
110×associate-/l/
104×cube-prod
78×exp-neg
76×log-div
71×*-commutative
65×clear-num frac-2neg
62×neg-sub0
44×distribute-rgt-in distribute-lft-in
42×unpow2
41×+-commutative sqrt-pow1
40×pow1/2 log-pow
39×log-prod
37×associate--l+
35×exp-prod
34×pow-exp rem-sqrt-square
33×cube-mult
32×pow-to-exp
31×unpow3
28×pow-unpow
25×un-div-inv
23×1-exp rec-exp
22×associate-+r+
20×associate-+l+
19×div-sub swap-sqr
17×distribute-rgt-neg-in
16×associate--r+
13×associate--l-
12×cube-div pow1/3
11×distribute-lft-neg-in
10×pow-pow
distribute-rgt-out
distribute-lft-neg-out distribute-lft1-in pow-plus pow-prod-up rem-cbrt-cube
rem-log-exp inv-pow pow-flip rem-exp-log
pow2 difference-cubes neg-mul-1 pow-sqr distribute-rgt-out--
exp-sum sub-div neg-log
rem-cube-cbrt
distribute-rgt1-in distribute-frac-neg
associate-+r- exp-to-pow

localize1.6s (0.5%)

bsearch570.0ms (0.2%)

end0.0ms (0.0%)

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