Date:Thursday, April 23rd, 2020
Commit:38368d1c on better-rr
Hostname:warfa with Racket 7.5
Seed:2020114
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

prune20.1m (68.7%)

Filtered
445375 candidates to 226232 candidates (49.2%)

simplify3.8m (13.1%)

Algorithm
175×egg-herbie

rewrite3.2m (10.8%)

Algorithm
106×rewrite-expression-head
Calls

289 calls:

1.3m
(- 2.0 (* (/ (/ (cbrt 2.0) (cbrt t)) (cbrt (+ 1.0 (/ 1.0 t)))) (/ (/ (* (cbrt 2.0) (cbrt 2.0)) (* (cbrt t) (cbrt t))) (* (cbrt (+ 1.0 (/ 1.0 t))) (cbrt (+ 1.0 (/ 1.0 t)))))))
4.8s
(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
2.2s
(/ (* (/ (* (/ PI 1) (* (cbrt 1.0) (cbrt 1.0))) 2.0) (/ (* (cbrt 1.0) (- (/ 1.0 a) (/ 1.0 b))) (+ b a))) (- b a))
988.0ms
(* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))
962.0ms
(/ (* (* (/ PI 2.0) (/ 1.0 (+ b a))) (- (/ 1.0 a) (/ 1.0 b))) (- b a))
Rules
836110×add-sqr-sqrt
582383×frac-times
526190×*-un-lft-identity
492849×associate-/l*
457843×times-frac
370911×add-cube-cbrt
273671×cbrt-prod
251626×associate-/r*
247589×associate-*r*
184129×associate-*l*
174790×unswap-sqr
118433×prod-diff
94668×swap-sqr
78221×frac-sub
65559×*-commutative
59995×clear-num
59359×distribute-lft-out
58610×frac-2neg
41320×associate-*r/
39735×associate-/l/
35364×difference-of-squares
23545×associate-*l/
20152×sqrt-prod
9752×distribute-lft-out--
7386×div-inv
4351×associate-/r/
4343×distribute-rgt-neg-in
4327×distribute-rgt-in distribute-lft-in
3897×un-div-inv
3025×add-exp-log
3002×add-cbrt-cube
2452×frac-add
1841×unpow-prod-down
1805×distribute-lft-neg-in
1289×associate-+r+
1227×cbrt-unprod
1152×prod-exp
1075×flip3-- flip--
1049×pow1
1017×div-exp
1015×cbrt-undiv
700×fma-neg
671×flip-+ flip3-+
609×sqr-pow
567×add-log-exp
565×pow-unpow
556×sum-cubes
504×exp-prod
290×log1p-expm1-u expm1-log1p-u
258×pow-prod-down
254×log-pow neg-mul-1
226×sqrt-div
214×fma-def
197×distribute-neg-frac
172×unpow3
136×1-exp
113×pow-prod-up
96×sum-log associate--r+
78×exp-neg
75×pow-sqr
74×sub-neg
73×neg-sub0
71×pow-plus
67×log-prod
64×+-commutative
61×diff-log
59×exp-diff
54×associate-+l+
53×rec-exp
50×cbrt-div
48×pow2
42×fma-udef
38×unpow2
36×rem-sqrt-square
33×sqrt-pow1
32×pow-to-exp pow-exp
21×pow-flip
19×pow1/2
18×remove-double-div
17×div-sub
13×distribute-rgt-out--
12×log-div
11×inv-pow
10×neg-log rem-log-exp
associate--l-
associate--l+
associate-+l-
rem-exp-log
distribute-lft-neg-out pow3 pow1/3 distribute-frac-neg distribute-rgt-neg-out
pow-pow
expm1-log1p hypot-def exp-to-pow
log1p-udef associate-+r- log1p-expm1 exp-sum expm1-udef

end1.1m (3.6%)

sample32.3s (1.8%)

Algorithm
72×intervals
Results
9.5s285538×body80valid
5.2s14074×body1280valid
2.7s3913×body2560valid
2.0s9499×body640valid
1.8s16909×body160valid
1.5s100607×pre80true
1.0s2133×body10240exit
782.0ms6998×body320valid
564.0ms19137×body80nan
80.0ms229×body5120valid
3.0ms100×pre80false

series28.3s (1.6%)

Calls

289 calls:

1.2s
(+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))
883.0ms
(fma (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) 2.0) (/ (* x1 (fma 3.0 (* x1 x1) (- (* 2.0 x2) x1))) (fma x1 x1 1.0)) (+ (* (* x1 x1) (fma (* 4.0 (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (/ 1 (+ (* x1 x1) 1.0)) (- (* 6.0 1)))) (* (* (fma (- 6.0) 1 6.0) x1) x1)))
863.0ms
(fma (* (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0) 2.0) (/ (* x1 (fma 3.0 (* x1 x1) (- (* 2.0 x2) x1))) (fma x1 x1 1.0)) (+ (* (* (* x1 x1) (* (cbrt (fma (* 4.0 (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (/ 1 (+ (* x1 x1) 1.0)) (- (* 6.0 1)))) (cbrt (fma (* 4.0 (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (/ 1 (+ (* x1 x1) 1.0)) (- (* 6.0 1)))))) (cbrt (fma (* 4.0 (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1)) (/ 1 (+ (* x1 x1) 1.0)) (- (* 6.0 1))))) (* (* (fma (- 6.0) 1 6.0) x1) x1)))
505.0ms
(fma x (* (- (* (* (* (* 11.0 x) x) y) y) (+ (pow y 6.0) (fma (pow y 4.0) 121.0 2.0))) x) (+ (* 333.75 (pow y 6.0)) (fma (pow y 8.0) 5.5 (/ x (* 2.0 y)))))
440.0ms
(- (* 9.0 (pow x 4.0)) (pow y 4.0))

regimes2.7s (0.2%)

Accuracy

Total 26.5b remaining (15.5%)

Threshold costs 3.1b (1.8%)

7.8b33.8%Complex division, real part
5.7b68%Compound Interest
4.2b85.3%The quadratic formula (r2)
4.2b85.5%The quadratic formula (r1)
1.5b0%Rosa's DopplerBench

localize1.6s (0.1%)

bsearch771.0ms (0.0%)