Date:Thursday, April 30th, 2020
Commit:d2f20e12 on joint-profile
Hostname:warfa with Racket 7.5
Seed:2020121
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

series10.7m (84.6%)

Calls

322 calls:

3.1s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt (* (* j 27.0) k)) (cbrt (* (* j 27.0) k))) (cbrt (* (* j 27.0) k))))))
3.0s
(fma t (- (* (* (* x 18.0) 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) (* (* j 27.0) k))))
693.0ms
(pow (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) 3)
690.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

sample50.2s (6.6%)

Algorithm
59×intervals
Results
12.7s263716×body80valid
8.8s209451×body80nan
7.5s21417×body1280valid
2.8s11052×body640valid
2.6s5282×body2560valid
896.0ms5145×body320valid
423.0ms16512×pre80true
301.0ms2489×body160valid
69.0ms245×body5120valid

prune42.2s (5.6%)

Filtered
14156 candidates to 8736 candidates (61.7%)

simplify9.0s (1.2%)

Algorithm
160×egg-herbie

regimes8.3s (1.1%)

Accuracy

Total 41.4b remaining (30.3%)

Threshold costs 2.3b (1.7%)

7.5b4.2%Linear.Matrix:det33 from linear-1.19.1.3
5.2b81.9%NMSE problem 3.2.1
4.7b3.8%sqrt sqr
3.9b85.7%The quadratic formula (r1)
2.9b-16.5%cos(2*x)/(cos^2(x)*sin^2(x))

rewrite3.3s (0.4%)

Algorithm
102×rewrite-expression-head
Calls

324 calls:

75.0ms
(+ (/ (- a x) (/ (- (+ t 1.0) z) (- y z))) x)
72.0ms
(+ (/ (- a x) (/ (- (+ t 1.0) z) (- y z))) x)
56.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
48.0ms
(/ (sqrt (- (+ f n))) (/ (- f n) (sqrt (- (+ f n)))))
39.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
Rules
7583×*-un-lft-identity
7353×times-frac
6435×add-sqr-sqrt
4498×add-cube-cbrt
2548×sqrt-prod
1880×add-exp-log
1272×prod-diff
1261×distribute-rgt-neg-in
1209×distribute-lft-neg-in
1028×add-cbrt-cube
957×distribute-lft-out--
856×associate-*l/
848×associate-*r/
826×difference-of-squares
825×prod-exp
709×flip3-- flip--
698×pow1
679×distribute-lft-out
569×frac-sub
550×associate-*l*
504×associate-*r*
477×associate-/r*
473×add-log-exp
458×fma-def
425×frac-times
415×div-exp
344×sqrt-div
335×neg-mul-1
324×log1p-expm1-u expm1-log1p-u
320×associate-/l*
265×div-inv
251×cbrt-unprod
238×distribute-rgt-in distribute-lft-in
222×flip-+ flip3-+
219×associate-/l/
194×associate-/r/
193×fma-neg
180×cbrt-undiv
177×pow-exp
173×pow-to-exp
159×exp-prod
147×cbrt-prod
139×log-pow
138×pow-prod-down
131×associate-+r+
127×unswap-sqr
115×unpow-prod-up
113×sub-neg
96×unpow-prod-down *-commutative
74×associate--r+
73×log-prod
67×frac-2neg clear-num
57×1-exp
53×diff-log
51×rec-exp
47×pow1/3
45×distribute-neg-frac
40×associate-+l+
37×fma-udef
36×sqr-pow
34×sqrt-pow1
33×pow1/2
32×pow-unpow tan-quot
29×sum-log
27×cbrt-div
26×rem-sqrt-square
24×swap-sqr
22×neg-sub0
20×sin-mult
19×+-commutative div-sub exp-sum
18×associate-+l-
15×neg-log log-div
14×cos-mult
13×pow-flip
12×cube-prod associate--l-
11×inv-pow
10×distribute-neg-in associate--l+
rem-exp-log frac-add sub-div
exp-diff pow-pow pow-sqr pow-prod-up
cube-div un-div-inv pow-sub distribute-frac-neg rem-log-exp
exp-neg pow2 pow-plus
associate-+r-
distribute-lft-neg-out cos-sum unpow3 cube-mult hypot-def log-rec sqrt-unprod tan-sum
rem-cube-cbrt e-exp-1 pow-neg unpow1/3 rem-cbrt-cube

localize2.5s (0.3%)

bsearch1.2s (0.2%)

end1.0ms (0.0%)

Profiling

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