Date:Tuesday, June 9th, 2020
Commit:8ccfdff1 on master
Hostname:warfa with Racket 7.5
Seed:2020161
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

prune2.8min (67.1%)

Filtered
12613 candidates to 8959 candidates (29.0%)

sample42.3s (17.2%)

Algorithm
72×intervals
Results
14.9s292565×body80valid
6.2s14419×body1280valid
3.0s3924×body2560valid
2.5s9509×body640valid
2.1s100675×pre80true
1.1s6824×body320valid
920.0ms200×body5120exit
827.0ms8868×body160valid
724.0ms18951×body80nan
148.0ms2007×body80overflowed
111.0ms216×body5120valid
4.0ms100×pre80false

simplify20.9s (8.5%)

Algorithm
179×egg-herbie

regimes7.1s (2.9%)

Accuracy

Total 28.9b remaining (20.1%)

Threshold costs 4.2b (2.9%)

5.6b68%Compound Interest
4.4b77.9%Kahan p9 Example
3.9b86.4%The quadratic formula (r1)
3.5b87.8%The quadratic formula (r2)
3.0b0%Complex division, imag part

series4.6s (1.9%)

Calls

318 calls:

169.0ms
(* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) 1)) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
108.0ms
(pow (exp (* (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))) (cbrt (log (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
93.0ms
(/ (- (* b c) (* a d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))
75.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
74.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

rewrite4.2s (1.7%)

Algorithm
110×rewrite-expression-head
Calls

318 calls:

146.0ms
(- (* (* (* (+ (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)))))))
83.0ms
(+ (* (* (* 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)))
64.0ms
(* (* (+ (* -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))))))
49.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
44.0ms
(- (* (* (+ -2.0 (+ (* -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)) (* (+ -2.0 (+ (* -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)))) (+ (* 333.75 (pow 33096.0 6.0)) (+ (* 5.5 (pow 33096.0 8.0)) (/ 77617.0 (* 2.0 33096.0))))))
Rules
6524×frac-times
5598×associate-*l/
3469×flip-- flip3--
3445×add-sqr-sqrt
3392×*-un-lft-identity
2886×times-frac
2588×associate-*r/
2522×flip-+ flip3-+
2256×frac-sub
2036×add-cube-cbrt
1339×add-exp-log
1107×add-cbrt-cube
901×associate-*r*
838×sqrt-prod
767×add-log-exp
669×pow1
634×unpow-prod-down
585×associate-*l*
548×cbrt-div
502×cbrt-prod
479×difference-of-squares
448×prod-exp
427×distribute-lft-out
316×cbrt-unprod
292×distribute-lft-out--
274×frac-add
251×sqr-pow
248×div-exp cube-prod
243×associate-/r*
230×associate-/l*
205×unswap-sqr
196×cbrt-undiv
166×div-inv
157×sum-log
150×pow-prod-down
149×associate-/r/
119×sqrt-div
118×sub-neg
109×diff-log
89×unpow2
84×associate-/l/
77×*-commutative
75×distribute-rgt-in distribute-lft-in
72×exp-neg
63×neg-sub0
58×exp-diff
55×pow-exp
54×pow-to-exp
52×clear-num distribute-rgt-neg-in frac-2neg
49×rem-sqrt-square
47×sqrt-pow1
46×pow1/2 swap-sqr
43×cube-div
42×+-commutative
37×pow-unpow
32×log-prod
30×cube-mult unpow3
29×associate--l+
27×distribute-lft-neg-in
26×associate-+r+ div-sub
25×pow1/3
22×associate-+l+
20×associate--l- un-div-inv
19×1-exp
16×pow-prod-up pow-pow
13×rec-exp
12×pow-plus associate--r+
10×pow-sqr rem-cbrt-cube
neg-mul-1 log-pow exp-prod
pow2
neg-log
log-div
pow-flip rem-cube-cbrt
rem-log-exp
exp-sum associate-+r- inv-pow distribute-frac-neg associate-+l-
distribute-lft-neg-out exp-to-pow sqrt-unprod rem-exp-log
rem-square-sqrt distribute-lft1-in distribute-rgt-out sqrt-pow2 unsub-neg pow3 sum-cubes distribute-rgt-out--

localize1.4s (0.6%)

bsearch547.0ms (0.2%)

end1.0ms (0.0%)

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