Date:Wednesday, April 22nd, 2020
Commit:1c116713 on better-rr
Hostname:warfa with Racket 7.5
Seed:2020113
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

series10.9m (32.6%)

Calls

339 calls:

3.1s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
3.0s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt (* j 27.0)) (cbrt (* j 27.0))) (* (cbrt (* j 27.0)) k)))))
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* 27.0 (* j k)))))
2.8s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
1.4s
(/ (fma (fma (tan z) (tan y) 1) (* (- (* (tan z) (tan z)) (* (tan y) (tan y))) (cos a)) (- (* (- (tan z) (tan y)) (* (- 1 (* (* (tan z) (tan y)) (* (tan z) (tan y)))) (sin a))))) (* (- (tan z) (tan y)) (+ 1 (* (tan z) (tan y)))))

rewrite10.6m (31.7%)

Algorithm
103×rewrite-expression-head
Calls

341 calls:

3.6s
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (/ (* (* 2.0 2.0) 2.0) (* (* (* t 3.0) (* t 3.0)) (* t 3.0)))))))
3.0s
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (pow (/ (* (* 2.0 2.0) 2.0) (* (* (* t 3.0) (* t 3.0)) (* t 3.0))) 1/3))))
288.0ms
(* (/ (* x (cbrt 1)) (cbrt z)) (/ (* (cbrt y) (cbrt y)) (cbrt z)))
263.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
249.0ms
(pow (/ (* (* 2.0 2.0) 2.0) (* (* (* t 3.0) (* t 3.0)) (* t 3.0))) 1/3)
Rules
254657×add-sqr-sqrt
111014×unswap-sqr
107708×associate-*l*
102993×*-un-lft-identity
94407×times-frac
74809×associate-*r*
64450×prod-diff
64321×add-cube-cbrt
40398×frac-sub
37499×associate--r+
31459×cbrt-prod
28990×unpow-prod-down
27530×swap-sqr
21718×associate-/l*
21066×distribute-rgt-in distribute-lft-in
19672×associate-/r*
19570×*-commutative
17265×cbrt-div
16648×difference-of-squares
15476×sqrt-prod
14771×distribute-lft-out
14540×frac-times
10819×flip-+ flip3-+
8876×associate-*r/
7283×flip-- flip3--
4118×distribute-lft-out--
2212×add-exp-log
1968×distribute-rgt-neg-in
1920×associate-/l/
1811×distribute-lft-neg-in
1723×add-cbrt-cube
1676×sqrt-div
1530×clear-num
1493×frac-2neg
1093×sqr-pow
950×frac-add
923×prod-exp
916×distribute-neg-frac
868×div-inv
805×pow1
758×cbrt-unprod
725×fma-def
723×associate-*l/
591×add-log-exp
589×associate-/r/
528×div-exp
492×fma-neg
442×neg-mul-1
416×cbrt-undiv
408×exp-sum
375×associate--l+
343×expm1-log1p-u
342×log1p-expm1-u
279×associate-+r+
263×exp-prod
219×log-prod
183×log-pow
158×pow-prod-down
142×sum-log pow-exp
136×tan-quot
127×fma-udef
126×associate-+l+
110×unpow-prod-up
96×pow-to-exp
82×sub-neg
79×un-div-inv
74×pow1/3
55×1-exp sqrt-pow1
51×+-commutative
47×diff-log distribute-neg-in
46×rec-exp
41×rem-sqrt-square
39×pow-unpow pow1/2
35×associate-+l-
33×neg-sub0
28×sin-mult
22×log-div cos-mult
21×neg-log remove-double-div
20×div-sub
19×rem-exp-log
18×sub-div
15×exp-diff
13×pow-prod-up
12×distribute-frac-neg
11×pow-sqr
10×pow-flip pow-pow
associate--l-
inv-pow exp-neg
pow2 pow-plus rem-log-exp
tan-sum cos-sum
sub0-neg log1p-udef associate-+r-
expm1-def sqrt-unprod log1p-expm1 expm1-log1p sqrt-undiv
mul-1-neg unpow1/3 distribute-lft-neg-out pow-sub difference-of-sqr-1 rem-square-sqrt distribute-rgt-out expm1-udef log-rec

prune8.7m (26.1%)

Filtered
119864 candidates to 59924 candidates (50.0%)

end1.2m (3.5%)

simplify1.1m (3.3%)

Algorithm
159×egg-herbie

sample44.6s (2.2%)

Algorithm
58×intervals
Results
11.3s248300×body80valid
7.3s21281×body1280valid
6.4s161750×body80nan
2.7s5241×body2560valid
2.6s10902×body640valid
876.0ms5134×body320valid
423.0ms16512×pre80true
313.0ms2565×body160valid
49.0ms185×body5120valid

regimes7.2s (0.4%)

Accuracy

Total 32.3b remaining (24.5%)

Threshold costs 1.8b (1.3%)

6.6b19.2%Linear.Matrix:det33 from linear-1.19.1.3
5.0b82%NMSE problem 3.2.1
4.6b83.3%The quadratic formula (r1)
3.4b32.2%Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3
2.2b32.7%Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1

localize2.7s (0.1%)

bsearch1.2s (0.1%)