Date:Wednesday, June 10th, 2020
Commit:646ba792 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020162
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 (48.7%)

Filtered
12718 candidates to 9066 candidates (28.7%)

sample2.2min (38.7%)

Algorithm
72×intervals
Results
11.1s237378×body80valid
6.2s14414×body1280valid
2.9s3863×body2560valid
2.5s9596×body640valid
2.5s30394×body80invalid
2.2s99272×pre80true
1.1s6670×body320valid
909.0ms200×body5120exit
793.0ms8794×body160valid
173.0ms2210×body80overflowed
113.0ms234×body640invalid
107.0ms245×body5120valid
101.0ms128×body1280invalid
64.0ms206×body320invalid
48.0ms964×body80nan
22.0ms122×body160invalid
21.0ms10×body2560invalid
4.0ms100×pre80false
sampling

Space saved by range analysis: 36.418501%

Space saved by search: 48.218312%

Guaranteed chance to sample good point: 87.47619%

simplify21.1s (6.1%)

Algorithm
175×egg-herbie

series9.2s (2.7%)

Calls

307 calls:

4.4s
(* (* (sqrt (* a (+ (+ b c) d))) (sqrt a)) (sqrt (+ (+ b c) d)))
97.0ms
(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))))
97.0ms
(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))))
97.0ms
(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))))
95.0ms
(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))))

regimes6.4s (1.9%)

Accuracy

Total 24.4b remaining (17.4%)

Threshold costs 3.8b (2.7%)

6.4b65%Compound Interest
4.7b77.3%Kahan p9 Example
3.0b0%Complex division, imag part
2.4b19.8%Complex division, real part
1.6b93.5%The quadratic formula (r2)

rewrite4.6s (1.3%)

Algorithm
106×rewrite-expression-head
Calls

307 calls:

144.0ms
(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))
143.0ms
(- (* (* (* (+ (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)))))))
66.0ms
(* (* (+ (* -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))))))
63.0ms
(* (/ (* (cbrt n) (cbrt n)) (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) (cbrt n))))
53.0ms
(+ (* 1.0 (- (/ 1 (pow x 5)) (/ 1 (pow x 3)))) (/ 1 x))
Rules
6166×frac-times
5442×associate-*l/
4106×add-sqr-sqrt
4039×*-un-lft-identity
3894×times-frac
3167×flip-- flip3--
2530×flip-+ flip3-+
2323×add-cube-cbrt
2218×associate-*r/
2169×frac-sub
1441×add-exp-log
1233×add-cbrt-cube
848×associate-*r*
751×pow1
719×difference-of-squares
711×add-log-exp
588×unpow-prod-down
567×sqrt-prod
517×cbrt-prod
493×distribute-lft-out
472×prod-exp
434×associate-*l*
388×distribute-lft-out--
372×cbrt-unprod
365×cube-prod
340×associate-/l*
300×div-exp
295×associate-/r*
256×sqr-pow
249×cbrt-undiv
189×pow-prod-down div-inv
186×associate-/r/
180×log-prod
177×unswap-sqr
143×sum-log
129×sqrt-div
121×frac-add
110×sub-neg
107×associate-/l/
104×diff-log
97×cbrt-div
89×exp-sum
77×*-commutative
76×swap-sqr
75×exp-prod
74×sqrt-pow1
64×distribute-rgt-in distribute-lft-in
62×clear-num log-pow frac-2neg
54×unpow2
50×associate--l+
48×distribute-rgt-neg-in pow1/2
46×pow-to-exp pow-exp
34×+-commutative
32×rem-sqrt-square
30×distribute-lft-neg-in associate--r+
24×pow-prod-up
22×associate-+l+ associate-+r+ div-sub
21×log-div
19×cube-mult unpow3
16×associate--l- pow-sqr
15×pow-unpow pow-plus
14×cube-div pow1/3
13×difference-cubes pow-pow
12×distribute-rgt-out--
11×pow2 1-exp rec-exp
10×neg-mul-1
rem-log-exp sum-cubes
neg-sub0
rem-cbrt-cube
associate--r- neg-log
distribute-lft-neg-out exp-to-pow sqrt-unprod distribute-frac-neg associate-+l- pow-flip rem-exp-log
inv-pow exp-diff rem-cube-cbrt
associate-+r- distribute-rgt-out
sqrt-undiv rem-square-sqrt distribute-lft1-in sqrt-pow2 +-inverses sub-div unsub-neg pow3 un-div-inv

localize1.4s (0.4%)

bsearch764.0ms (0.2%)

end1.0ms (0.0%)

Profiling

Loading profile data...