Date:Wednesday, February 26th, 2020
Commit:2c6cda94 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020057
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

series10.9m (83.8%)

Calls

328 calls:

3.7s
(fma (fma c t (- (* i y))) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
3.2s
(fma (/ (+ (tan y) (tan z)) (- 1 (cbrt (pow (pow (* (tan y) (tan z)) 3) 3)))) (fma (fma (tan y) (tan z) 1) (* (tan y) (tan z)) 1) (+ (- (tan a)) x))
3.0s
(fma (/ (+ (tan y) (tan z)) (- 1 (pow (* (tan y) (tan z)) 3))) (fma (fma (tan y) (tan z) 1) (* (tan y) (tan z)) 1) (+ (- (tan a)) x))
3.0s
(fma t (- (* 18.0 (* x (* z y))) (* 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)))))

sample51.4s (6.6%)

Algorithm
59×intervals
Results
12.2s263572×body80valid
8.9s21440×body1280valid
8.3s207960×body80nan
3.2s10882×body640valid
2.5s5244×body2560valid
1.0s5115×body320valid
473.0ms16512×pre80true
347.0ms2622×body160valid
55.0ms218×body5120valid

prune48.9s (6.2%)

Filtered
13410 candidates to 8897 candidates (66.3%)

simplify8.9s (1.1%)

Algorithm
159×egg-herbie

regimes7.4s (0.9%)

Accuracy

Total 33.4b remaining (26.2%)

Threshold costs 2.6b (2%)

7.9b-0.4%Linear.Matrix:det33 from linear-1.19.1.3
5.2b81.8%NMSE problem 3.2.1
4.3b83.8%The quadratic formula (r1)
1.9b0%Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1
1.8b17.6%cos(2*x)/(cos^2(x)*sin^2(x))

rewrite6.2s (0.8%)

Algorithm
101×rewrite-expression-head
Calls

330 calls:

503.0ms
(* a (* (/ 1 (* (cbrt (- (+ t 1.0) z)) (cbrt (- (+ t 1.0) z)))) (/ (- y z) (cbrt (- (+ t 1.0) z)))))
299.0ms
(/ (- (* (* 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))))
193.0ms
(* y (log z))
175.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
169.0ms
(/ x (* (/ (* (cbrt y) (cbrt y)) (/ (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) 1.0) (* (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))) (/ (cbrt y) (/ (pow (/ (cbrt 1) (cbrt a)) 1.0) (cbrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))))
Rules
8451×times-frac
5874×*-un-lft-identity
5593×add-sqr-sqrt
4928×add-cube-cbrt
3375×add-exp-log
1305×div-exp
1260×prod-exp
1117×add-cbrt-cube
968×unpow-prod-down
900×prod-diff
841×associate-*r/
813×associate-*l/
703×exp-prod
651×flip-- flip3--
641×pow1
635×distribute-rgt-neg-in
609×log-pow
604×associate-/r*
599×distribute-lft-neg-in
582×frac-sub
464×add-log-exp
413×associate-*r*
407×frac-times
396×div-inv
377×cbrt-prod
351×associate-/l*
343×pow-exp
335×sqrt-prod
331×log1p-expm1-u expm1-log1p-u
329×cbrt-unprod
328×associate-*l*
312×fma-udef
304×sqrt-div
293×exp-sum
264×distribute-lft-out-- associate--r+
257×cbrt-undiv
235×difference-of-squares
228×distribute-lft-out
210×distribute-rgt-in distribute-lft-in
208×associate-/l/
206×flip-+ flip3-+
198×pow-to-exp
187×neg-mul-1
170×fma-neg
159×associate-/r/
130×pow-prod-down
98×sqr-pow cube-prod
80×*-commutative unswap-sqr
78×associate-+r+
77×fma-def
73×sub-neg
66×clear-num frac-2neg
64×cbrt-div
55×pow1/3
47×log-prod
46×rec-exp 1-exp
44×diff-log
40×tan-quot
36×pow-unpow
30×pow1/2 sin-mult sqrt-pow1
29×associate-+l+
28×rem-sqrt-square
26×cube-div
24×cos-mult
23×sum-log
20×unpow3 cube-mult
18×neg-sub0
15×pow-pow sub-div
14×+-commutative div-sub
11×neg-log
10×distribute-neg-frac
9×rem-exp-log rem-cube-cbrt inv-pow pow-flip swap-sqr
8×distribute-frac-neg
7×associate-+l-
6×un-div-inv associate--l+ rem-log-exp log-div
5×exp-diff distribute-neg-in unpow-prod-up associate--l-
4×exp-neg
3×frac-add pow-sqr pow-prod-up distribute-rgt-out-- rem-cbrt-cube
2×sqrt-undiv log1p-udef cos-sum associate-+r- pow2 log1p-expm1 expm1-log1p pow-plus tan-sum expm1-udef
1×pow-sub sqrt-unprod exp-to-pow log-rec

localize2.7s (0.3%)

bsearch1.3s (0.2%)

end1.0ms (0.0%)