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

sample3.5min (50.3%)

Algorithm
72×intervals
Results
11.2s238394×body80valid
5.9s13992×body1280valid
2.7s3626×body2560valid
2.7s9263×body640valid
2.2s99272×pre80true
1.6s10869×body80invalid
1.1s6777×body320valid
891.0ms200×body5120exit
807.0ms8671×body160valid
107.0ms237×body5120valid
77.0ms152×body640invalid
47.0ms945×body80nan
47.0ms57×body1280invalid
36.0ms110×body320invalid
24.0ms11×body2560invalid
9.0ms115×body80overflowed
9.0ms45×body160invalid
4.0ms100×pre80false
sampling

Space saved by range analysis: 36.418501%

Space saved by search: 49.707019%

Guaranteed chance to sample good point: 88.490685%

prune2.8min (40.2%)

Filtered
13832 candidates to 9520 candidates (31.2%)

simplify21.4s (5.1%)

Algorithm
175×egg-herbie

regimes6.3s (1.5%)

Accuracy

Total 28.5b remaining (19.3%)

Threshold costs 2.3b (1.6%)

5.8b71.4%Compound Interest
5.3b80%The quadratic formula (r2)
4.8b76.1%Kahan p9 Example
3.0b0%Complex division, real part
2.4b18.9%Complex division, imag part

series5.1s (1.2%)

Calls

301 calls:

197.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c)))))))
98.0ms
(cbrt (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))
98.0ms
(cbrt (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))
96.0ms
(cbrt (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))
96.0ms
(cbrt (+ (* (* (* 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) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))))

rewrite4.5s (1.1%)

Algorithm
106×rewrite-expression-head
Calls

301 calls:

148.0ms
(- (* (* (* (+ (pow -2.0 3) (pow (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) 3)) (* 77617.0 77617.0)) (* (- (* -2.0 -2.0) (* (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))))) (* 77617.0 77617.0))) (- (* 333.75 (pow 33096.0 6.0)) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))))) (* (* (+ (* -2.0 -2.0) (- (* (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))) (* -2.0 (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))))) (- -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)) (* 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))))) (+ (* 333.75 (pow 33096.0 6.0)) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0)))))))
69.0ms
(* (* (+ (* -2.0 -2.0) (- (* (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0))) (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))) (* -2.0 (+ (* -121.0 (pow 33096.0 4.0)) (- (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (pow 33096.0 6.0)))))) (- -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)) (* 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))))) (+ (* 333.75 (pow 33096.0 6.0)) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))))))
58.0ms
(* (/ 1 (pow (cbrt i) 2)) (/ (- (+ (* 1.0 i) (+ (* 0.5 (pow i 2)) (* (log 1.0) n))) (* 0.5 (* (pow i 2) (log 1.0)))) (/ (cbrt i) n)))
50.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
48.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (log (exp (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))))
Rules
6529×times-frac
6216×frac-times
5445×associate-*l/
5169×*-un-lft-identity
4907×add-sqr-sqrt
3261×flip-- flip3--
3212×add-cube-cbrt
2543×flip-+ flip3-+
2404×associate-*r/
2258×frac-sub
1667×add-exp-log
1237×sqrt-prod
1236×add-cbrt-cube
762×associate-*r*
752×add-log-exp
652×pow1
640×unpow-prod-down
637×difference-of-squares
625×associate-*l*
594×distribute-lft-out
493×div-exp
492×prod-exp
488×associate-/r*
390×associate-/r/
382×distribute-lft-out--
365×associate-/l*
354×cbrt-unprod
312×cbrt-prod div-inv
276×cbrt-undiv
272×sqr-pow
205×unswap-sqr
173×sum-log
164×unpow2
153×pow-prod-down
127×cbrt-div
125×frac-add
117×sub-neg
104×sqrt-div
96×diff-log
88×associate-/l/
82×distribute-rgt-in distribute-lft-in exp-prod
81×exp-neg
74×swap-sqr
73×pow-exp
72×pow-to-exp
71×*-commutative
70×neg-sub0
65×log-pow
61×exp-diff
59×clear-num frac-2neg
55×distribute-rgt-neg-in
53×cube-prod
51×1-exp rec-exp
46×+-commutative
39×pow1/3
31×distribute-lft-neg-in rem-sqrt-square associate-+r+
28×log-prod
27×associate-+l+ div-sub
25×sqrt-pow1 pow1/2
23×associate--l+ un-div-inv
22×exp-lft-sqr
21×pow-prod-up
18×pow-unpow
17×pow-sqr
16×pow-plus
15×associate--r+
13×associate--l-
12×pow2 cube-mult unpow3
11×neg-mul-1
10×pow-pow pow-flip
inv-pow neg-log
cube-div
distribute-lft-neg-out distribute-frac-neg
distribute-rgt-out rem-cbrt-cube rem-cube-cbrt
rem-log-exp log-div associate-+r- pow3 associate-+l- rem-exp-log
distribute-lft1-in unsub-neg distribute-rgt-out--

localize1.4s (0.3%)

bsearch1.1s (0.3%)

end1.0ms (0.0%)

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