<p> Dual solver algo style ... xd(L,H,N) </p>

25fd0342-dbd1-4eb1-8ae8-26e3bf3fb9ca 9 3 12 decimal

&[DATE] &[TIME] - &[FILENAME]

U # # f Solve i 1 U rows range data 1 i el U i el y f y solve eval : for v data 1 el : j 2 data cols range v v data j el augment : for v transpose 41 line :

Incremental discretizer ...
Mesh N  within the bounds L, H L H N xd X 0 : i 1 N range X i el L H L - N / i * + : for X 31 line :

The Electron function has no symbolic branch solution otherwise than RootOf which indirectly requires "a solver" from recast RootOf.

t0 1 time :

L 1.7857 : H 14.245529 : N 200 : 13 mat U L H N xd : 21 sys

3 appVersion 0.98.6179 ≡

a 816 π * sqrt * : x y Φ 1 - 3 / x 2^y 2^+ sqrt * exp 2 y 2^* - x 2^+ a / * - 0.005 + : sols U x y Φ Solve : 31 sys

collect/export both branches new sols : branch1 U new 1 col augment : branch2 U new 2 col augment : 31 sys

branch1 branch2 2 1 sys

L < u < H ... escape end-points u 10 :

x pairwise user x y Φ y solve : x user 12 mat 21 line :

Numeric

pair wise u pairwise 10 4.174903 - 4.174903 21 mat 12 mat

1 time t0 - min 1.6

roots rejects vectorize
less accurate than solve y x y Φ y roots at

OK recursive solve Δ xlimits : 1.7857 14.245529 at

NFG recursive solve Δ xlimits : 1.78568578 14.245529381 at

collected al_nleqsolve 1.78568577383018 14.2455293828432 21 sys

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x limitSolve sol y x y Φ vectorize y solve at : x sol 12 mat 21 line :

sanity the limits u 1.78568577383018 14.2455293828432 21 mat :

u limitSolve vectorize 1.785685773830 0.000000000006 12 mat 14.245529382843 0.000000000004 12 mat 21 mat