Date:Tuesday, July 14th, 2020
Commit:2afbfc40 on master
Hostname:warfa with Racket 7.5
Seed:2020196
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

sample14.3s (44.9%)

Algorithm
22×intervals
Results
4.9s10890×body1280valid
2.7s72823×body80valid
1.9s6699×body640valid
838.0ms24768×pre80true
601.0ms2944×body320valid
189.0ms1322×body160valid

simplify4.9s (15.3%)

Algorithm
60×egg-herbie

prune4.7s (14.8%)

Filtered
3435 candidates to 1796 candidates (47.7%)

series3.7s (11.6%)

Calls

97 calls:

151.0ms
(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (* (tan y) (tan z))) (cos a)))
149.0ms
(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (/ (* (tan y) (sin z)) (cos z))) (cos a)))
148.0ms
(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (/ (* (tan z) (sin y)) (cos y))) (cos a)))
86.0ms
(* (pow (sqrt 2) 2/3) (pow x 1.0))
86.0ms
(sqrt (* (pow x 2.0) 2))

regimes2.6s (8.3%)

Accuracy

Total 6.9b remaining (16.8%)

Threshold costs 2.2b (5.3%)

4.7b24.4%mixedcos
0.4b0%rsin A
0.4b0%sqrt C
0.3b0%rsin B
0.2b99.2%sqrt A

rewrite986.0ms (3.1%)

Algorithm
38×rewrite-expression-head
Calls

97 calls:

26.0ms
(/ (cos (* 2.0 x)) (* (pow c (/ 2.0 2)) (* x (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) (pow c (/ 2.0 2))))))
23.0ms
(/ (cos (* 2.0 x)) (* (pow c (/ 2.0 2)) (* x (* (* x (pow s (/ 2.0 2))) (* (pow c (/ 2.0 2)) (pow s (/ 2.0 2)))))))
22.0ms
(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (/ (* (tan y) (sin z)) (cos z))) (cos a)))
21.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (pow x 1.0) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))
20.0ms
(/ (+ (* (+ (tan y) (tan z)) (cos a)) (* (sin a) (+ (* (tan y) (tan z)) -1))) (* (- 1 (/ (* (tan z) (sin y)) (cos y))) (cos a)))
Rules
3844×add-exp-log
3312×prod-exp
814×pow-exp
812×pow-to-exp
585×add-sqr-sqrt
577×add-cbrt-cube
425×*-un-lft-identity
392×associate-*r*
391×add-cube-cbrt
371×pow1
326×cbrt-unprod
294×div-exp
221×associate-*l*
183×times-frac
153×pow-prod-down
151×sqrt-prod
104×add-log-exp
93×cbrt-prod unswap-sqr
79×unpow-prod-down
65×*-commutative
46×associate-/l*
42×cbrt-undiv
39×sqr-pow
38×associate-/r* associate-*l/ tan-quot
32×associate-*r/ associate-/r/
30×distribute-lft-neg-in distribute-rgt-neg-in
28×associate-/l/
25×frac-add
23×div-inv
21×flip-+ flip3-+
18×cos-mult
16×clear-num frac-2neg
14×flip-- distribute-rgt-neg-out flip3-- distribute-lft-out--
13×sin-mult difference-of-squares
10×sqrt-pow1
pow1/3
log-prod swap-sqr
pow-unpow frac-sub frac-times pow-sqr pow-prod-up
pow1/2 1-exp
distribute-lft-neg-out neg-mul-1 sub-div pow-pow rem-cube-cbrt
rem-log-exp pow-plus distribute-lft-out
cube-div pow2 tan-sum cos-sum associate-+r+ sum-log sub-neg sqrt-div diff-log cube-prod cube-mult rec-exp unpow3
+-commutative associate-+r- inv-pow div-sub log-pow un-div-inv pow-flip

localize441.0ms (1.4%)

bsearch171.0ms (0.5%)

end0.0ms (0.0%)

Profiling

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