Date:Sunday, June 21st, 2020
Commit:b922bf9e on ival-perf-with-search
Hostname:warfa with Racket 7.5
Seed:2020173
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

prune2.8min (61.6%)

Filtered
13408 candidates to 9307 candidates (30.6%)

sample34.7s (12.8%)

Algorithm
72×intervals
Results
11.0s238189×body80valid
6.0s13995×body1280valid
3.0s3856×body2560valid
2.4s9129×body640valid
2.1s99272×pre80true
1.8s14528×body80invalid
1.1s6724×body320valid
887.0ms200×body5120exit
864.0ms8859×body160valid
133.0ms265×body640invalid
109.0ms208×body5120valid
107.0ms136×body1280invalid
86.0ms1689×body80nan
51.0ms166×body320invalid
28.0ms14×body2560invalid
16.0ms85×body160invalid
14.0ms182×body80overflowed
4.0ms100×pre80false

analyze28.6s (10.6%)

Algorithm
69×search
random

simplify21.1s (7.8%)

Algorithm
180×egg-herbie

regimes6.2s (2.3%)

Accuracy

Total 28.1b remaining (19.7%)

Threshold costs 3.5b (2.4%)

5.9b67.9%Compound Interest
4.3b78.2%Kahan p9 Example
3.5b88%The quadratic formula (r2)
3.3b88.5%The quadratic formula (r1)
3.0b0%Complex division, real part

series4.6s (1.7%)

Calls

317 calls:

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))))
93.0ms
(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))))
92.0ms
(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))))
92.0ms
(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))))
91.0ms
(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 (1.7%)

Algorithm
111×rewrite-expression-head
Calls

317 calls:

140.0ms
(- (* (* (* (+ (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)))))))
62.0ms
(* (* (+ (* -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
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (neg (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
47.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
43.0ms
(- (/ 1 (pow x 5)) (/ 1 (pow x 3)))
Rules
6203×frac-times
5461×associate-*l/
5162×times-frac
4360×*-un-lft-identity
4059×add-sqr-sqrt
3265×flip-- flip3--
2610×add-cube-cbrt
2565×flip-+ flip3-+
2397×associate-*r/
2275×frac-sub
1704×add-exp-log
1265×add-cbrt-cube
1013×associate-*r*
793×add-log-exp
736×pow1
658×unpow-prod-down
525×distribute-lft-out
500×prod-exp
493×div-exp
479×difference-of-squares
469×associate-*l*
468×associate-/r*
392×associate-/r/
364×cbrt-unprod
348×cbrt-prod distribute-lft-out--
313×div-inv
277×sqr-pow
269×cbrt-undiv
249×associate-/l*
245×sqrt-prod
202×unswap-sqr
183×unpow2
173×sum-log
170×pow-prod-down
140×distribute-rgt-neg-in
136×swap-sqr
133×sqrt-div
118×frac-add
110×sub-neg
109×cbrt-div diff-log
95×log-prod
87×distribute-rgt-in distribute-lft-in
86×distribute-lft-neg-in
83×*-commutative
81×exp-neg
74×pow-to-exp pow-exp
72×neg-sub0
71×associate-/l/
68×cube-prod
67×sqrt-pow1
61×exp-diff
55×clear-num frac-2neg
54×1-exp rec-exp
47×+-commutative
46×pow1/2
43×associate--l+
34×exp-sum
33×pow-prod-up
27×pow1/3
25×rem-sqrt-square un-div-inv
21×pow-sqr
20×associate-+r+ div-sub
19×associate-+l+
17×associate--l-
15×log-pow associate--r+
13×pow2 pow-plus
12×pow-unpow
11×neg-mul-1 cube-mult unpow3
10×log-div neg-log exp-prod
distribute-neg-frac
cube-div inv-pow pow-flip
distribute-lft1-in distribute-rgt-out
rem-exp-log
rem-log-exp exp-to-pow associate-+l- rem-cbrt-cube pow-pow
distribute-frac-neg sum-cubes distribute-rgt-neg-out
distribute-lft-neg-out associate-+r- rem-square-sqrt sqrt-unprod associate--r- unsub-neg
distribute-rgt1-in cube-unmult

bsearch2.6s (1.0%)

localize1.6s (0.6%)

end2.0ms (0.0%)

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