Date:Friday, March 6th, 2020
Commit:4fbe8b6b on better-rr
Hostname:warfa with Racket 7.5
Seed:2020066
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

series10.8m (45.4%)

Calls

318 calls:

3.5s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (sqrt 27.0) (* (sqrt 27.0) (* j k))))))
3.0s
(fma t (- (* (* 18.0 (* x y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* 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)))))
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
1.3s
(fma (fma (fma (tan z) (tan y) 1) (* (tan z) (tan y)) 1) (/ (+ (tan y) (tan z)) (- 1 (pow (log (exp (* (tan z) (tan y)))) 3))) (- (tan a)))

simplify5.4m (22.7%)

Algorithm
157×egg-herbie

rewrite4.7m (19.9%)

Algorithm
100×rewrite-expression-head
Calls

320 calls:

19.1s
(/ (- (/ (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) 1)) (/ (- y) (* (/ (pow (/ (cbrt 1) a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) x)))
872.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
609.0ms
(* (* (/ (cbrt x) (cbrt y)) z) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
279.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
172.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
Rules
4324425×times-frac
1965884×add-sqr-sqrt
1689102×*-un-lft-identity
1537412×add-cube-cbrt
1365076×unpow-prod-down
839712×associate-*l*
799775×cbrt-prod
638846×distribute-rgt-neg-in
638757×distribute-lft-neg-in
259323×unswap-sqr
167382×exp-sum
167160×fma-udef
165749×associate-*r*
139552×swap-sqr
80331×neg-mul-1
44032×div-inv
41097×sqr-pow
31598×*-commutative
22820×associate-*l/
22374×associate-/l*
21795×associate-/r/
13062×prod-diff
10245×associate-/r*
8269×sqrt-prod
6166×frac-sub
4220×frac-times
3252×difference-of-squares
2428×distribute-lft-out--
2191×add-exp-log
1728×distribute-rgt-in distribute-lft-in
1688×distribute-lft-out
1658×flip-+ flip3-+
1604×add-cbrt-cube
1512×associate-*r/
1392×clear-num
1378×frac-2neg
1221×flip-- flip3--
1104×cbrt-div
1015×prod-exp
818×cbrt-unprod
752×pow1
546×div-exp
528×associate-/l/
494×associate-+r+
491×fma-neg
472×add-log-exp
418×cbrt-undiv
334×sqrt-div
328×associate--r+
320×log1p-expm1-u expm1-log1p-u
229×pow-exp
218×exp-prod
212×pow-to-exp
180×pow-prod-down distribute-neg-frac
168×fma-def
133×log-pow
125×1-exp
124×log-prod
118×rec-exp
74×associate--l+
69×sub-neg
64×tan-quot
60×sqrt-pow1
56×pow1/3
54×pow1/2 rem-sqrt-square hypot-def
47×distribute-neg-in unpow-prod-up
43×associate-+l+
40×diff-log un-div-inv
36×+-commutative
35×sub-div sum-log
33×sin-mult
31×pow-unpow
30×cos-mult
29×neg-sub0
20×neg-log
18×pow-flip
15×div-sub
13×associate-+l-
12×inv-pow
10×pow-prod-up pow-sqr log-div
rem-exp-log remove-double-div associate--l- distribute-frac-neg rem-log-exp
pow-pow
pow2 pow-plus
exp-diff
cos-sum exp-neg tan-sum exp-to-pow
frac-add associate-+r-
distribute-lft-neg-out
unpow1/3 pow-sub unsub-neg sqrt-unprod log-rec

prune1.9m (8.1%)

Filtered
38464 candidates to 19729 candidates (51.3%)

sample44.6s (3.1%)

Algorithm
58×intervals
Results
11.4s247352×body80valid
7.2s21003×body1280valid
6.5s161378×body80nan
2.8s5320×body2560valid
2.7s11017×body640valid
892.0ms5155×body320valid
425.0ms16512×pre80true
311.0ms2570×body160valid
61.0ms229×body5120valid

regimes6.8s (0.5%)

Accuracy

Total 25.9b remaining (20.7%)

Threshold costs 2.4b (1.9%)

4.3b84.7%NMSE problem 3.2.1
4.3b84.8%The quadratic formula (r1)
3.3b49.2%Linear.Matrix:det33 from linear-1.19.1.3
2.1b62.3%Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1
1.6b0%Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2

localize2.4s (0.2%)

bsearch1.0s (0.1%)

end1.0ms (0.0%)